DCE screen output is being saved to: C:\Users\Katarzyna\Desktop\TPN_substitutes\coding\replication package (2)\replication package\linked_results\linked_all_20260908_102836.txt
 
__________________________________________________________________________________________________________________
 
Estimating <strong>choice-task weighted </strong>MNL model ...
in preference-space ...
total weight:                    2826.0000
choice tasks:                        64998
Using linear regression estimates as starting values
 Iter.  Eval.         max|dB|            Step                f(x)         df prev          Opt. Cond.   Iter sec             Date/time
     0      1             NaN             NaN     8871.0709087868             NaN     1985.2038034819     0.0002   2026-09-08 10:28:47
     1      2    1.0000000000    1.0250582943     7574.9413926441 1296.1295161426      467.6569055519     0.0641   2026-09-08 10:28:47
     2      3    0.3653773297    0.5154274817     7339.0641210832  235.8772715609      286.2975762087     0.0626   2026-09-08 10:28:47
     3      4    0.5150921156    0.7505630008     7137.1388936751  201.9252274082      229.4359099257     0.0668   2026-09-08 10:28:47
     4      5    0.6955554808    0.9639774022     6979.4258493415  157.7130443335      316.7800057046     0.0644   2026-09-08 10:28:47
     5      6    0.3443387973    0.5427943878     6910.6152801811   68.8105691604      215.3388210156     0.0638   2026-09-08 10:28:47
     6      7    0.1986909234    0.3683643790     6862.7846953406   47.8305848405      116.3976578485     0.0609   2026-09-08 10:28:47
     7      8    0.1248575145    0.2490344561     6840.0323925057   22.7523028349       86.7733102593     0.0652   2026-09-08 10:28:48
     8      9    0.1094857935    0.2099955245     6825.5505719716   14.4818205341      105.9494702710     0.0639   2026-09-08 10:28:48
     9     10    0.1648465421    0.3230735182     6810.9161502651   14.6344217065       62.2309627385     0.0614   2026-09-08 10:28:48
    10     11    0.0591304357    0.1580890571     6806.6487824821    4.2673677830       23.0216025149     0.0618   2026-09-08 10:28:48
    11     12    0.0392994262    0.0976792285     6804.7485348349    1.9002476471       20.7939886435     0.0607   2026-09-08 10:28:48
    12     13    0.0510521649    0.1186775895     6802.7016644640    2.0468703710       33.5487060471     0.0593   2026-09-08 10:28:48
    13     14    0.0681382322    0.1557248667     6800.3606084830    2.3410559810       35.2048088966     0.0591   2026-09-08 10:28:48
    14     15    0.0506897178    0.1239509466     6798.8500229826    1.5105855004       19.0498522372     0.0598   2026-09-08 10:28:48
    15     16    0.0263525601    0.0518635328     6798.3580873360    0.4919356465        6.3566907526     0.0600   2026-09-08 10:28:48
    16     17    0.0154074799    0.0261284439     6798.1743690681    0.1837182680        6.5126346521     0.0587   2026-09-08 10:28:48
    17     18    0.0184914146    0.0369748880     6797.9183607379    0.2560083301       10.0846270596     0.0605   2026-09-08 10:28:48
    18     19    0.0295728081    0.0713954715     6797.4683238813    0.4500368567       14.7937032581     0.0629   2026-09-08 10:28:48
    19     20    0.0572444555    0.1106383098     6796.9051790965    0.5631447848       13.9330097678     0.0631   2026-09-08 10:28:48
    20     21    0.0612578963    0.1075952295     6796.4765056262    0.4286734703        6.7413538103     0.0601   2026-09-08 10:28:48
    21     22    0.0390978973    0.0674082085     6796.2361440279    0.2403615983        6.7734233117     0.0588   2026-09-08 10:28:48
    22     23    0.0310998981    0.0554460561     6796.0130211503    0.2231228777        6.4036830622     0.0610   2026-09-08 10:28:48
    23     24    0.0513908121    0.0964405241     6795.6068540868    0.4061670635       12.0133141542     0.0606   2026-09-08 10:28:48
    24     25    0.0816632806    0.1655996064     6794.9585362578    0.6483178290       15.5575958807     0.0618   2026-09-08 10:28:49
    25     26    0.0932022453    0.2107587625     6794.2349220304    0.7236142274       12.5897907826     0.0607   2026-09-08 10:28:49
    26     27    0.0571077451    0.1575229602     6793.7282441912    0.5066778391        8.0716122780     0.0592   2026-09-08 10:28:49
    27     28    0.0358507344    0.0906876980     6793.3747543718    0.3534898194        7.6160934347     0.0591   2026-09-08 10:28:49
    28     29    0.0368395264    0.0971488037     6792.9284987821    0.4462555897       10.6387512149     0.0602   2026-09-08 10:28:49
    29     30    0.0518154315    0.1703149317     6792.2055732144    0.7229255677       16.2183689530     0.0596   2026-09-08 10:28:49
    30     31    0.0778464928    0.2623929489     6791.3020830981    0.9034901163       15.4645658718     0.0596   2026-09-08 10:28:49
    31     32    0.0853624316    0.2505150343     6790.6032100812    0.6988730169        8.2402276546     0.0602   2026-09-08 10:28:49
    32     33    0.0520287684    0.1439862244     6790.2085381213    0.3946719599        8.1105470292     0.0610   2026-09-08 10:28:49
    33     34    0.0322994729    0.0994822098     6789.8735422702    0.3349958512        7.8825404401     0.0594   2026-09-08 10:28:49
    34     35    0.0495061384    0.1457285018     6789.3500598542    0.5234824160       13.1317723478     0.0595   2026-09-08 10:28:49
    35     36    0.0677721097    0.2012033543     6788.6867890726    0.6632707816       13.6228543772     0.0606   2026-09-08 10:28:49
    36     37    0.0558396629    0.1649742539     6788.2150928369    0.4716962357        7.3231566926     0.0590   2026-09-08 10:28:49
    37     38    0.0246087476    0.0587925203     6788.0468218836    0.1682709533        3.3082150400     0.0598   2026-09-08 10:28:49
    38     39    0.0130017169    0.0216289471     6787.9776753850    0.0691464986        2.9921706031     0.0609   2026-09-08 10:28:49
    39     40    0.0142961537    0.0234573122     6787.8904010544    0.0872743306        4.6496170211     0.0592   2026-09-08 10:28:49
    40     41    0.0175318298    0.0400476915     6787.7639057835    0.1264952708        5.5268464316     0.0592   2026-09-08 10:28:50
    41     42    0.0242460246    0.0566052555     6787.6531425045    0.1107632790        3.6971223498     0.0599   2026-09-08 10:28:50
    42     43    0.0192786539    0.0437293283     6787.6009783219    0.0521641826        2.1200160464     0.0620   2026-09-08 10:28:50
    43     44    0.0088358361    0.0207885298     6787.5784453400    0.0225329819        1.8801214022     0.0597   2026-09-08 10:28:50
    44     45    0.0072651157    0.0176868285     6787.5536602513    0.0247850887        2.0013216112     0.0618   2026-09-08 10:28:50
    45     46    0.0097673177    0.0242489609     6787.5159869582    0.0376732931        2.7056001467     0.0591   2026-09-08 10:28:50
    46     47    0.0162972021    0.0256592754     6787.4807413642    0.0352455940        2.0788547694     0.0595   2026-09-08 10:28:50
    47     48    0.0129358491    0.0174135550     6787.4630608358    0.0176805284        1.1053288469     0.0593   2026-09-08 10:28:50
    48     49    0.0053335025    0.0084126479     6787.4563236296    0.0067372061        1.0163552890     0.0593   2026-09-08 10:28:50
    49     50    0.0037363919    0.0064224071     6787.4504065729    0.0059170567        0.9649585648     0.0595   2026-09-08 10:28:50
    50     51    0.0053010439    0.0091211098     6787.4416568538    0.0087497190        1.2086029890     0.0591   2026-09-08 10:28:50
    51     52    0.0050587285    0.0112286790     6787.4337692715    0.0078875823        0.9523022334     0.0586   2026-09-08 10:28:50
    52     53    0.0040953721    0.0089457915     6787.4300821133    0.0036871582        0.4928835759     0.0594   2026-09-08 10:28:50
    53     54    0.0017020333    0.0040089931     6787.4289325103    0.0011496031        0.4342571054     0.0609   2026-09-08 10:28:50
    54     55    0.0009553152    0.0024039174     6787.4280962818    0.0008362285        0.4004678821     0.0612   2026-09-08 10:28:50
    55     56    0.0013032059    0.0030972380     6787.4269013565    0.0011949253        0.3601083424     0.0615   2026-09-08 10:28:50
    56     57    0.0013570905    0.0033900642     6787.4259200023    0.0009813541        0.2734355000     0.0689   2026-09-08 10:28:51
    57     58    0.0012589059    0.0025782193     6787.4255020986    0.0004179037        0.1900165542     0.0667   2026-09-08 10:28:51
    58     59    0.0005584263    0.0011515762     6787.4253774706    0.0001246280        0.1529444236     0.0611   2026-09-08 10:28:51
    59     60    0.0003798174    0.0007669635     6787.4252798662    0.0000976044        0.0946545468     0.0608   2026-09-08 10:28:51
    60     61    0.0004619935    0.0010022370     6787.4251461250    0.0001337413        0.1144969342     0.0610   2026-09-08 10:28:51
    61     62    0.0005022486    0.0010627411     6787.4250441282    0.0001019968        0.0776259578     0.0589   2026-09-08 10:28:51
    62     63    0.0003897686    0.0007733835     6787.4250007991    0.0000433291        0.0604771103     0.0597   2026-09-08 10:28:51
    63     64    0.0001904180    0.0003867227     6787.4249830963    0.0000177028        0.0434900881     0.0594   2026-09-08 10:28:51
    64     65    0.0001980442    0.0003723973     6787.4249630836    0.0000200126        0.0412245134     0.0591   2026-09-08 10:28:51
    65     66    0.0002589547    0.0005073299     6787.4249368642    0.0000262194        0.0514263020     0.0592   2026-09-08 10:28:51
    66     67    0.0002305676    0.0005180433     6787.4249180331    0.0000188311        0.0337213144     0.0588   2026-09-08 10:28:51
    67     68    0.0001375566    0.0003046028     6787.4249118571    0.0000061760        0.0169968685     0.0602   2026-09-08 10:28:51
    68     69    0.0000470057    0.0001098780     6787.4249103785    0.0000014786        0.0158998168     0.0594   2026-09-08 10:28:51
    69     70    0.0000369520    0.0000770299     6787.4249091571    0.0000012214        0.0129025807     0.0607   2026-09-08 10:28:51
    70     71    0.0000535303    0.0001162043     6787.4249073307    0.0000018265        0.0109489710     0.0589   2026-09-08 10:28:51
    71     72    0.0000583666    0.0001260082     6787.4249059564    0.0000013742        0.0082351827     0.0608   2026-09-08 10:28:51
    72     73    0.0000449212    0.0000858119     6787.4249054407    0.0000005158        0.0052759814     0.0595   2026-09-08 10:28:51
    73     74    0.0000169787    0.0000339210     6787.4249053007    0.0000001399        0.0051249615     0.0590   2026-09-08 10:28:52
    74     75    0.0000146704    0.0000273963     6787.4249051666    0.0000001341        0.0048326406     0.0582   2026-09-08 10:28:52
    75     76    0.0000280249    0.0000506885     6787.4249049105    0.0000002562        0.0042252801     0.0591   2026-09-08 10:28:52
    76     77    0.0000456800    0.0000723123     6787.4249046055    0.0000003050        0.0048785051     0.0584   2026-09-08 10:28:52
    77     78    0.0000437112    0.0000645595     6787.4249044094    0.0000001961        0.0035868434     0.0602   2026-09-08 10:28:52
    78     79    0.0000152976    0.0000271247     6787.4249043543    0.0000000551        0.0015997725     0.0595   2026-09-08 10:28:52

<a href = "matlab: helpview('optim','local_min_unconstrained','CSHelpWindow');">Local minimum found</a>.

Optimization completed because the <a href = "matlab: helpview('optim','grad_size','CSHelpWindow');">size of the gradient</a> is less than
the value of the <a href = "matlab: helpview('optim','optimality_tolerance_unc','CSHelpWindow');">optimality tolerance</a>.

<<a href = "matlab: createExitMsg({'optim:fminusub:Exit1basic'},{'optim:fminusub:Exit1detailed','8.054423e-07','1.000000e-06'},true,true);;">stopping criteria details</a>>

__________________________________________________________________________________________________________________

<strong>MNL </strong><strong>in preference-space, weighted by choice task
</strong>                                                     
var.                    coef.    st.err.  p-value   
Tatrzanski             1.3358***  0.1277   0.0000   
Babiogorski           -1.3139***  0.1928   0.0000   
Bialowieski           -0.3459**   0.1541   0.0248   
Biebrzanski           -0.9141***  0.1671   0.0000   
Bieszczadzki           0.9916***  0.1398   0.0000   
BoryTucholskie        -0.0528     0.1307   0.6865   
Drawienski            -1.7045***  0.2010   0.0000   
Gorczanski            -1.8079***  0.2437   0.0000   
GorStolowych          -0.1308     0.1427   0.3595   
Kampinoski            -0.6987***  0.1414   0.0000   
Karkonoski             0.3536***  0.1328   0.0078   
Magurski              -1.1819***  0.1976   0.0000   
Narwianski            -1.4263***  0.1920   0.0000   
Ojcowski              -0.1193     0.1366   0.3826   
Pieninski             -0.0767     0.1492   0.6070   
Poleski               -1.6630***  0.2095   0.0000   
Roztoczanski          -0.6236***  0.1587   0.0001   
Slowinski             -0.3153**   0.1487   0.0340   
Swietokrzyski         -0.1935     0.1360   0.1546   
UjscieWarty           -1.0312***  0.1753   0.0000   
Wielkopolski          -0.6328***  0.1394   0.0000   
Wigierski             -0.9166***  0.1830   0.0000   
-TC/100                1.5757***  0.0348   0.0000   
 
<strong>Model diagnostics: 
</strong>LL at convergence:             -6787.4249
LL at constant(s) only:        -8153.6184
McFadden's pseudo-R²:              0.1676
Ben-Akiva-Lerman's pseudo-R²:      0.0188
AIC/n:                             0.2096
BIC/n:                             0.2128
n (observations):              64998
r (respondents):                2826
k (parameters):                   23
 
Estimation method      weighted maximum likelihood (choice-task weights)
Optimization method    quasi-newton
Gradient               user-supplied, analytical
Hessian                retained from optimization
 
 
Estimation completed on Tuesday, 2026-09-08 at 10:28:57
Estimation took 3.5738 seconds (0 hours 0 minutes 3.5738 seconds).
 
__________________________________________________________________________________________________________________
 
Estimating Negative Binomial (NB2) regression model ...
without truncation
without censoring.
Using linear regression estimates as starting values
Initial values: [-0.34 0.0016 0.3 0.091 0.16 0.0026 0.41 0.65 0.51 0]

Opmization algorithm: <strong>quasi-newton
</strong>Gradient: <strong>user-supplied, analytical 
</strong>Hessian: <strong>off, </strong><strong>retained from optimization 
</strong>
 Iter.  Eval.         max|dB|            Step                f(x)         df prev          Opt. Cond.   Iter sec             Date/time
     0      1             NaN             NaN    12033.4595039052             NaN   120925.0076723647     0.0000   2026-09-08 10:28:58
     1      4    0.0120698614    0.0120763869    11575.6602770611  457.7992268441    37122.1307183485     0.0031   2026-09-08 10:28:58
     2      5    0.0028326147    0.0028345023    11515.6764156706   59.9838613905     4600.2365888162     0.0011   2026-09-08 10:28:58
     3      6    0.0004058467    0.0004331214    11514.5268444335    1.1495712371     1730.0350842644     0.0010   2026-09-08 10:28:58
     4      8    0.0016192062    0.0017403850    11512.1112109808    2.4156334527     4169.2241682879     0.0025   2026-09-08 10:28:58
     5      9    0.0060947602    0.0064576482    11503.6055415680    8.5056694128     9821.2345543380     0.0010   2026-09-08 10:28:58
     6     10    0.0300756940    0.0318082758    11467.5990916281   36.0064499399    24711.3242441096     0.0008   2026-09-08 10:28:58
     7     11    0.0714255128    0.0754996839    11390.0472668630   77.5518247651    42788.5947368921     0.0008   2026-09-08 10:28:58
     8     12    0.1910115786    0.2018735257    11199.7481635034  190.2991033596    63914.7125030553     0.0008   2026-09-08 10:28:58
     9     13    0.3597390501    0.3801704273    10895.9729435968  303.7752199066    69565.8404834632     0.0011   2026-09-08 10:28:58
    10     14    0.3494497881    0.3692847186    10664.3217629670  231.6511806298    53110.4846483035     0.0012   2026-09-08 10:28:58
    11     15    0.1498147439    0.1583273812    10545.5174888915  118.8042740754    32895.1024736680     0.0011   2026-09-08 10:28:58
    12     16    0.0237739293    0.0253468109    10470.3524459219   75.1650429696    11918.6162811419     0.0011   2026-09-08 10:28:58
    13     17    0.0335970003    0.0355666465    10455.9959154895   14.3565304324     1330.7727200415     0.0011   2026-09-08 10:28:58
    14     18    0.0056448100    0.0059721127    10455.7989027888    0.1970127007       69.2330482125     0.0012   2026-09-08 10:28:58
    15     20    0.0013188489    0.0013893084    10455.7933659388    0.0055368500      139.6796817133     0.0022   2026-09-08 10:28:58
    16     22    0.0070556972    0.0074340172    10455.7496457981    0.0437201406      306.3727526991     0.0024   2026-09-08 10:28:58
    17     24    0.0054807812    0.0093433085    10455.0317865255    0.7178592726       91.0292839558     0.0014   2026-09-08 10:28:58
    18     25    0.0706683531    0.1105636946    10448.3376722441    6.6941142814     1375.9369762518     0.0008   2026-09-08 10:28:58
    19     26    0.0446196599    0.0658164791    10446.0799071056    2.2577651384     1137.1503085288     0.0008   2026-09-08 10:28:58
    20     27    0.0157559050    0.0271017822    10445.5555170304    0.5243900752      277.5843922841     0.0009   2026-09-08 10:28:58
    21     28    0.0046005943    0.0053856061    10445.5261173260    0.0293997043       38.8261271823     0.0010   2026-09-08 10:28:58
    22     29    0.0008277696    0.0014415890    10445.5250865285    0.0010307975       38.8868595994     0.0011   2026-09-08 10:28:58
    23     30    0.0002445582    0.0004041213    10445.5246823129    0.0004042156       38.9142150954     0.0008   2026-09-08 10:28:58
    24     31    0.0008803700    0.0014454974    10445.5224105008    0.0022718121       39.0109269428     0.0010   2026-09-08 10:28:58
    25     32    0.0011042022    0.0018010604    10445.5176754401    0.0047350607       39.1215631137     0.0027   2026-09-08 10:28:58
    26     33    0.0019299288    0.0031230461    10445.5040788014    0.0135966387       39.2836078366     0.0011   2026-09-08 10:28:58
    27     34    0.0028888611    0.0046454645    10445.4698533191    0.0342254823       39.4438695654     0.0012   2026-09-08 10:28:58
    28     35    0.0043838958    0.0071429269    10445.3801574694    0.0896958497       63.2361411398     0.0010   2026-09-08 10:28:58
    29     36    0.0059847774    0.0108639675    10445.1542567539    0.2259007155      106.4805194319     0.0011   2026-09-08 10:28:58
    30     37    0.0094024050    0.0187636462    10444.6118651118    0.5423916421      167.3379267858     0.0008   2026-09-08 10:28:58
    31     38    0.0266650311    0.0384679847    10443.4779303865    1.1339347253      233.9812685373     0.0008   2026-09-08 10:28:58
    32     39    0.0562122351    0.0718247431    10441.7203593485    1.7575710380      260.1514783810     0.0009   2026-09-08 10:28:58
    33     40    0.0660409064    0.0850041951    10440.1683837895    1.5519755590      180.0537819691     0.0009   2026-09-08 10:28:58
    34     41    0.0305619719    0.0455071652    10439.6166675158    0.5517162736       42.4798490699     0.0010   2026-09-08 10:28:58
    35     42    0.0054728738    0.0095862350    10439.5602578507    0.0564096651        5.5193523111     0.0021   2026-09-08 10:28:58
    36     43    0.0021449778    0.0029809226    10439.5582096044    0.0020482463        5.0625840547     0.0010   2026-09-08 10:28:58
    37     44    0.0004229440    0.0005355893    10439.5581674951    0.0000421093        5.0499426632     0.0012   2026-09-08 10:28:58
    38     45    0.0000785288    0.0001004450    10439.5581568439    0.0000106511        5.0468519615     0.0012   2026-09-08 10:28:58
    39     46    0.0003361631    0.0004301455    10439.5580859852    0.0000708587        5.0327922106     0.0010   2026-09-08 10:28:58
    40     47    0.0004107007    0.0005249117    10439.5579432087    0.0001427765        6.2905202811     0.0008   2026-09-08 10:28:58
    41     48    0.0007421864    0.0009474979    10439.5575267219    0.0004164868       12.2701985773     0.0008   2026-09-08 10:28:58
    42     49    0.0011392697    0.0014549640    10439.5564822825    0.0010444393       21.5039028859     0.0008   2026-09-08 10:28:58
    43     50    0.0018339210    0.0023581120    10439.5537264083    0.0027558742       36.5127324451     0.0008   2026-09-08 10:28:58
    44     51    0.0028061601    0.0037132618    10439.5467001899    0.0070262184       59.8574042772     0.0008   2026-09-08 10:28:58
    45     52    0.0040360573    0.0058871378    10439.5292306486    0.0174695412       94.4282068385     0.0008   2026-09-08 10:28:58
    46     53    0.0049813269    0.0094292071    10439.4894337065    0.0397969421      137.7694863841     0.0008   2026-09-08 10:28:58
    47     54    0.0077474967    0.0152350727    10439.4152040158    0.0742296907      168.8752181802     0.0009   2026-09-08 10:28:58
    48     55    0.0123365820    0.0212155065    10439.3247665298    0.0904374860      143.3143185118     0.0008   2026-09-08 10:28:58
    49     56    0.0108104550    0.0186604958    10439.2720113069    0.0527552229       63.2147911754     0.0008   2026-09-08 10:28:58
    50     57    0.0065794972    0.0084211359    10439.2608754009    0.0111359060        9.8740785273     0.0007   2026-09-08 10:28:58
    51     58    0.0011940154    0.0022204651    10439.2601509238    0.0007244772        4.2370821962     0.0008   2026-09-08 10:28:58
    52     59    0.0001955466    0.0003738632    10439.2601324430    0.0000184808        4.1829662318     0.0008   2026-09-08 10:28:58
    53     60    0.0000523131    0.0000907160    10439.2601266134    0.0000058296        4.1717078733     0.0008   2026-09-08 10:28:58
    54     61    0.0001902425    0.0003293836    10439.2600935527    0.0000330607        4.1308405368     0.0007   2026-09-08 10:28:58
    55     62    0.0002369016    0.0004122229    10439.2600248276    0.0000687251        4.0784805242     0.0007   2026-09-08 10:28:58
    56     63    0.0004119720    0.0007235917    10439.2598270724    0.0001977551        3.9878717229     0.0008   2026-09-08 10:28:58
    57     64    0.0006108428    0.0010927195    10439.2593281750    0.0004988975        5.1242854192     0.0008   2026-09-08 10:28:58
    58     65    0.0009169153    0.0017048482    10439.2580107118    0.0013174632        8.7982639409     0.0008   2026-09-08 10:28:58
    59     66    0.0014875455    0.0025380997    10439.2546240258    0.0033866859       14.5875274378     0.0008   2026-09-08 10:28:58
    60     67    0.0024993421    0.0037481793    10439.2460389531    0.0085850728       23.4570717581     0.0007   2026-09-08 10:28:58
    61     68    0.0040356748    0.0060342706    10439.2254790202    0.0205599329       35.7469617787     0.0008   2026-09-08 10:28:58
    62     69    0.0071577084    0.0121527174    10439.1823345598    0.0431444604       48.5125420316     0.0009   2026-09-08 10:28:58
    63     70    0.0162580736    0.0235801149    10439.1153494313    0.0669851285       50.9232027236     0.0008   2026-09-08 10:28:58
    64     71    0.0199543067    0.0290087004    10439.0570287925    0.0583206388       32.2627553584     0.0008   2026-09-08 10:28:58
    65     72    0.0096117349    0.0159351898    10439.0361911641    0.0208376284        8.6675720466     0.0008   2026-09-08 10:28:58
    66     73    0.0023818904    0.0035460952    10439.0337522408    0.0024389233        3.3901433149     0.0008   2026-09-08 10:28:58
    67     74    0.0006747354    0.0010487207    10439.0336672475    0.0000849933        3.3189088790     0.0008   2026-09-08 10:28:58
    68     75    0.0001117425    0.0001605698    10439.0336639593    0.0000032882        3.3111269511     0.0008   2026-09-08 10:28:58
    69     76    0.0001453117    0.0002099230    10439.0336572392    0.0000067202        3.3011768880     0.0008   2026-09-08 10:28:58
    70     77    0.0002399019    0.0003488570    10439.0336390994    0.0000181398        3.2842425370     0.0008   2026-09-08 10:28:58
    71     78    0.0003751151    0.0005514538    10439.0335921873    0.0000469121        3.2704475527     0.0008   2026-09-08 10:28:58
    72     79    0.0005880870    0.0008808421    10439.0334689096    0.0001232777        3.2795557085     0.0008   2026-09-08 10:28:58
    73     80    0.0008914862    0.0013807087    10439.0331474371    0.0003214725        3.4406894842     0.0008   2026-09-08 10:28:58
    74     81    0.0012860421    0.0021240741    10439.0323101082    0.0008373289        5.7620776119     0.0008   2026-09-08 10:28:58
    75     82    0.0019189381    0.0031436029    10439.0301514527    0.0021586555        9.4244018057     0.0008   2026-09-08 10:28:58
    76     83    0.0028351010    0.0043784312    10439.0247178981    0.0054335546       14.9684082107     0.0008   2026-09-08 10:28:58
    77     84    0.0036454353    0.0059013211    10439.0118624100    0.0128554880       22.4599461144     0.0007   2026-09-08 10:28:58
    78     85    0.0072147772    0.0103053138    10438.9856899633    0.0261724468       29.6557100931     0.0007   2026-09-08 10:28:58
    79     86    0.0192335070    0.0211720989    10438.9474023930    0.0382875703       29.6493288989     0.0008   2026-09-08 10:28:58
    80     87    0.0246265957    0.0274678639    10438.9170504166    0.0303519764       17.3810559033     0.0007   2026-09-08 10:28:58
    81     88    0.0121593072    0.0155380251    10438.9075323562    0.0095180604        4.0483549718     0.0008   2026-09-08 10:28:58
    82     89    0.0020201738    0.0030833083    10438.9065838139    0.0009485422        3.0458584801     0.0008   2026-09-08 10:28:58
    83     90    0.0005968574    0.0007121887    10438.9065520660    0.0000317479        2.9475821820     0.0007   2026-09-08 10:28:58
    84     91    0.0001232377    0.0001344648    10438.9065493536    0.0000027124        2.9372590262     0.0007   2026-09-08 10:28:58
    85     92    0.0003155746    0.0003452110    10438.9065386814    0.0000106722        2.9118363120     0.0007   2026-09-08 10:28:58
    86     93    0.0004218328    0.0004630180    10438.9065150830    0.0000235985        2.8774642206     0.0008   2026-09-08 10:28:58
    87     94    0.0007182379    0.0007927219    10438.9064489609    0.0000661221        2.8175081970     0.0008   2026-09-08 10:28:58
    88     95    0.0010911001    0.0012161386    10438.9062803117    0.0001686492        2.7226201314     0.0009   2026-09-08 10:28:58
    89     96    0.0016758473    0.0019023581    10438.9058352803    0.0004450314        3.2855204547     0.0007   2026-09-08 10:28:58
    90     97    0.0024106157    0.0028417727    10438.9046804650    0.0011548152        5.4900163047     0.0008   2026-09-08 10:28:58
    91     98    0.0031182477    0.0040354682    10438.9016940721    0.0029863929        8.9811090301     0.0009   2026-09-08 10:28:58
    92     99    0.0029154862    0.0052591801    10438.8941583807    0.0075356914       14.2839035502     0.0009   2026-09-08 10:28:58
    93    100    0.0041094804    0.0073420952    10438.8762067002    0.0179516805       21.5150544133     0.0009   2026-09-08 10:28:58
    94    101    0.0131969410    0.0170796558    10438.8391942946    0.0370124056       28.6354448701     0.0009   2026-09-08 10:28:58
    95    102    0.0362083951    0.0379902967    10438.7837071089    0.0554871857       29.1950131372     0.0008   2026-09-08 10:28:58
    96    103    0.0485965029    0.0489968349    10438.7369879084    0.0467192005       18.1731102474     0.0007   2026-09-08 10:28:58
    97    104    0.0271951791    0.0279541758    10438.7205196182    0.0164682902        4.8653471272     0.0008   2026-09-08 10:28:58
    98    105    0.0028898923    0.0047751217    10438.7187679528    0.0017516654        2.0761157284     0.0009   2026-09-08 10:28:58
    99    106    0.0011996945    0.0013900308    10438.7187085019    0.0000594509        2.0398430965     0.0009   2026-09-08 10:28:58
   100    107    0.0002887496    0.0002928800    10438.7187068200    0.0000016819        2.0366117768     0.0008   2026-09-08 10:28:58
   101    108    0.0001508419    0.0001522984    10438.7187054703    0.0000013497        2.0351617416     0.0008   2026-09-08 10:28:58
   102    109    0.0003946492    0.0003984518    10438.7186998816    0.0000055887        2.0311658677     0.0008   2026-09-08 10:28:58
   103    110    0.0005406754    0.0005461007    10438.7186872959    0.0000125857        2.0250878961     0.0008   2026-09-08 10:28:58
   104    111    0.0009207350    0.0009306568    10438.7186523528    0.0000349431        2.0130671346     0.0008   2026-09-08 10:28:58
   105    112    0.0014200175    0.0014373766    10438.7185633020    0.0000890508        1.9901738707     0.0007   2026-09-08 10:28:58
   106    113    0.0022112031    0.0022449877    10438.7183308326    0.0002324694        2.7964049980     0.0007   2026-09-08 10:28:58
   107    114    0.0032203613    0.0032936346    10438.7177424488    0.0005883837        4.5275730773     0.0008   2026-09-08 10:28:58
   108    115    0.0041069478    0.0042988731    10438.7163174403    0.0014250086        6.9694010593     0.0008   2026-09-08 10:28:58
   109    116    0.0033426456    0.0040348456    10438.7132660016    0.0030514386        9.6232971065     0.0008   2026-09-08 10:28:58
   110    117    0.0021534956    0.0039003188    10438.7083239538    0.0049420478       10.4497052348     0.0008   2026-09-08 10:28:58
   111    118    0.0107612166    0.0111886919    10438.7037030594    0.0046208944        7.0824524569     0.0008   2026-09-08 10:28:58
   112    119    0.0113877700    0.0114774764    10438.7018471710    0.0018558884        2.2177636865     0.0007   2026-09-08 10:28:58
   113    120    0.0039380370    0.0040126169    10438.7015937915    0.0002533795        0.1726624927     0.0008   2026-09-08 10:28:58
   114    121    0.0002233528    0.0003183868    10438.7015841492    0.0000096423        0.0654900288     0.0008   2026-09-08 10:28:58

<a href = "matlab: helpview('optim','local_min_unconstrained','CSHelpWindow');">Local minimum found</a>.

Optimization completed because the <a href = "matlab: helpview('optim','grad_size','CSHelpWindow');">size of the gradient</a> is less than
the value of the <a href = "matlab: helpview('optim','optimality_tolerance_unc','CSHelpWindow');">optimality tolerance</a>.

<<a href = "matlab: createExitMsg({'optim:fminusub:Exit1basic'},{'optim:fminusub:Exit1detailed','5.415711e-07','1.000000e-06'},true,true);;">stopping criteria details</a>>

__________________________________________________________________________________________________________________

<strong>Negative Binomial </strong><strong>
</strong>                                                                       
var.                                      coef.      st.err.  p-value   
Constant                                -0.0282       0.0853   0.7410   
Consumer surplus per trip                0.0029**     0.0011   0.0125   
Household income (10k PLN)               0.4589***    0.0785   0.0000   
Male                                     0.1311**     0.0510   0.0102   
Higher education                         0.2171***    0.0584   0.0002   
City                                    -0.0480       0.0521   0.3567   
Winter                                   0.8664***    0.0730   0.0000   
Hiking                                   0.5321***    0.0557   0.0000   
Skiing                                   0.8602***    0.2495   0.0006   
 
                                                                       
                                      Overdispersion parameters        
var.                                      coef.      st.err.            
ln alpha                                 1.1406       0.0269            
 
                                                                       
                                      Consumer Surplus                 
var.                                      coef.      st.err.  p-value   
-1/(Consumer surplus per trip)        -350.0574**   140.1216   0.0125   
 
<strong>Model diagnostics: 
</strong>LL at convergence:             -10438.7016
LL at constant(s) only:        -10645.7640
McFadden's pseudo-R²:               0.0195
AIC/n:                              3.5692
BIC/n:                              3.5806
n (observations):                5855
r (respondents):                 5855
k (parameters):                    10
 
Estimation method      maximum likelihood
Optimization method    quasi-newton
Gradient               user-supplied, analytical
Hessian                off, retained from optimization
                       
Descriptive statistics 
var                                   Y Consumer surplus per trip
mean                             2.3286         51.1706
median                           0.0000         48.5529
std                              9.9300         22.1024
min                              0.0000         -0.9133
max                            324.0000        113.1036
quantile 0.025                   0.0000         12.1155
quantile 0.975                  13.0000         96.5629
 
 
Estimation completed on Tuesday, 2026-09-08 at 10:28:58
Estimation took 0.20642 seconds (0 hours 0 minutes 0.20642 seconds).

====================================================
all_TC_33  (2 of 6)
====================================================
 
__________________________________________________________________________________________________________________
 
Estimating <strong>choice-task weighted </strong>MNL model ...
in preference-space ...
total weight:                    2826.0000
choice tasks:                        64998
Using linear regression estimates as starting values
 Iter.  Eval.         max|dB|            Step                f(x)         df prev          Opt. Cond.   Iter sec             Date/time
     0      1             NaN             NaN     8870.8642210678             NaN     2235.5759413703     0.0001   2026-09-08 10:29:59
     1      2    1.0000000000    1.0198111388     7530.6551253589 1340.2090957090      354.9448067830     0.0654   2026-09-08 10:29:59
     2      3    0.2313223067    0.3602955402     7374.2323514754  156.4227738835      297.5503500289     0.0624   2026-09-08 10:29:59
     3      4    0.5568641212    0.7967555899     7155.9560639647  218.2762875107      300.7824240730     0.0624   2026-09-08 10:29:59
     4      5    0.6996221586    0.9596513745     6992.3882086124  163.5678553523      392.8946350602     0.0611   2026-09-08 10:29:59
     5      6    0.3857013934    0.5817245900     6914.1162047184   78.2720038940      265.2251569167     0.0673   2026-09-08 10:29:59
     6      7    0.1661376766    0.3155082817     6865.2443910943   48.8718136241      122.9885553217     0.0663   2026-09-08 10:29:59
     7      8    0.1214010293    0.2148954562     6842.4458935286   22.7984975658       94.4697577054     0.0593   2026-09-08 10:29:59
     8      9    0.1016592500    0.1871886640     6827.0173494765   15.4285440521      127.1235852473     0.0643   2026-09-08 10:30:00
     9     10    0.2299868589    0.4036324389     6805.2004269698   21.8169225067       97.2811650644     0.0636   2026-09-08 10:30:00
    10     11    0.0973966320    0.2007425058     6798.6257770154    6.5746499544       29.6679635537     0.0616   2026-09-08 10:30:00
    11     12    0.0368590188    0.1010251372     6796.4396214547    2.1861555607       21.6848613419     0.0637   2026-09-08 10:30:00
    12     13    0.0339813848    0.0841575773     6794.8437894398    1.5958320149       28.9784230875     0.0614   2026-09-08 10:30:00
    13     14    0.0620828716    0.1454573406     6792.2953992430    2.5483901968       41.1599064735     0.0613   2026-09-08 10:30:00
    14     15    0.0679054315    0.1609145145     6789.9061149218    2.3892843212       33.7462195329     0.0616   2026-09-08 10:30:00
    15     16    0.0365503217    0.0996269626     6788.7369167158    1.1691982060       12.8277251615     0.0609   2026-09-08 10:30:00
    16     17    0.0222517169    0.0339886124     6788.4480122603    0.2889044555        6.3683139507     0.0828   2026-09-08 10:30:00
    17     18    0.0138377063    0.0224798555     6788.2972414308    0.1507708295        6.2534816691     0.0686   2026-09-08 10:30:00
    18     19    0.0193670368    0.0396576173     6788.0173543294    0.2798871014       11.1928052040     0.0646   2026-09-08 10:30:00
    19     20    0.0311652304    0.0722736690     6787.5634500830    0.4539042464       14.7511267742     0.0613   2026-09-08 10:30:00
    20     21    0.0542487884    0.1028797182     6787.0597409908    0.5037090922       12.0624970747     0.0661   2026-09-08 10:30:00
    21     22    0.0486190809    0.0854406460     6786.7411947924    0.3185461984        7.1988415729     0.0628   2026-09-08 10:30:00
    22     23    0.0271531442    0.0479924296     6786.5752462684    0.1659485240        6.7644955954     0.0600   2026-09-08 10:30:00
    23     24    0.0244469481    0.0440387419     6786.3959934821    0.1792527863        6.2035808786     0.0622   2026-09-08 10:30:01
    24     25    0.0445643706    0.0826059141     6786.0446214258    0.3513720563       11.4479949958     0.0632   2026-09-08 10:30:01
    25     26    0.0709585061    0.1407990211     6785.4937168478    0.5509045779       14.2363144314     0.0601   2026-09-08 10:30:01
    26     27    0.0776105165    0.1719112652     6784.9131814070    0.5805354409       10.8292506700     0.0620   2026-09-08 10:30:01
    27     28    0.0422391412    0.1169122752     6784.5460971832    0.3670842238        7.7017032351     0.0594   2026-09-08 10:30:01
    28     29    0.0275844052    0.0625507973     6784.3021994267    0.2438977565        6.9978101839     0.0603   2026-09-08 10:30:01
    29     30    0.0293604110    0.0711459408     6783.9729238750    0.3292755517        9.5168655471     0.0598   2026-09-08 10:30:01
    30     31    0.0428081953    0.1370290938     6783.3875599166    0.5853639584       15.1286519222     0.0619   2026-09-08 10:30:01
    31     32    0.0775484016    0.2369279221     6782.5648829072    0.8226770094       16.0003754240     0.0605   2026-09-08 10:30:01
    32     33    0.0959842002    0.2565820768     6781.8554840821    0.7093988251        9.2011207751     0.0603   2026-09-08 10:30:01
    33     34    0.0612464832    0.1511615337     6781.4718567391    0.3836273430        7.4557080394     0.0681   2026-09-08 10:30:01
    34     35    0.0300824684    0.0789980704     6781.2180526164    0.2538041227        6.5446375911     0.0620   2026-09-08 10:30:01
    35     36    0.0344584926    0.1062203144     6780.8251231830    0.3929294334       11.2238060817     0.0613   2026-09-08 10:30:01
    36     37    0.0627543440    0.1907763425     6780.1600887798    0.6650344031       15.3009224781     0.0628   2026-09-08 10:30:01
    37     38    0.0798616797    0.2488437000     6779.4141164536    0.7459723262       13.1048258974     0.0611   2026-09-08 10:30:01
    38     39    0.0518861194    0.1624071879     6778.9875171209    0.4265993327        5.2239398414     0.0620   2026-09-08 10:30:01
    39     40    0.0204515569    0.0443513800     6778.8479126211    0.1396044998        4.3941538296     0.0612   2026-09-08 10:30:02
    40     41    0.0110447623    0.0202738990     6778.7701149309    0.0777976902        3.7433747436     0.0603   2026-09-08 10:30:02
    41     42    0.0136932387    0.0278515330     6778.6465269716    0.1235879593        5.4227850457     0.0610   2026-09-08 10:30:02
    42     43    0.0201106485    0.0505246706     6778.4865967789    0.1599301927        5.6745424419     0.0606   2026-09-08 10:30:02
    43     44    0.0270062504    0.0663788195     6778.3663584153    0.1202383636        3.1921817483     0.0607   2026-09-08 10:30:02
    44     45    0.0175531789    0.0427335353     6778.3181212514    0.0482371639        2.3358789820     0.0622   2026-09-08 10:30:02
    45     46    0.0080297182    0.0195956473     6778.2946946350    0.0234266164        2.0452990917     0.0615   2026-09-08 10:30:02
    46     47    0.0086866456    0.0205580036     6778.2620863159    0.0326083191        2.2370838584     0.0619   2026-09-08 10:30:02
    47     48    0.0113760742    0.0279935311     6778.2129474704    0.0491388455        2.9228654328     0.0622   2026-09-08 10:30:02
    48     49    0.0176424713    0.0290110726     6778.1673113196    0.0456361509        2.1911809100     0.0613   2026-09-08 10:30:02
    49     50    0.0133786098    0.0186510833     6778.1451687889    0.0221425307        1.6943051311     0.0613   2026-09-08 10:30:02
    50     51    0.0055494886    0.0090961479     6778.1363987678    0.0087700211        1.4298585327     0.0611   2026-09-08 10:30:02
    51     52    0.0044574504    0.0074536246     6778.1277684361    0.0086303317        1.1310908866     0.0648   2026-09-08 10:30:02
    52     53    0.0071627589    0.0113025190     6778.1137283188    0.0140401174        1.4660952306     0.0672   2026-09-08 10:30:02
    53     54    0.0080619227    0.0155819365     6778.0991826287    0.0145456901        1.2972432507     0.0637   2026-09-08 10:30:02
    54     55    0.0063883121    0.0140294479     6778.0912128297    0.0079697990        0.8762587375     0.0634   2026-09-08 10:30:02
    55     56    0.0028111415    0.0066858058     6778.0886506434    0.0025621863        0.7009407809     0.0674   2026-09-08 10:30:03
    56     57    0.0014314091    0.0033722322     6778.0870912345    0.0015594089        0.4713159394     0.0631   2026-09-08 10:30:03
    57     58    0.0020791486    0.0043436530     6778.0846199283    0.0024713062        0.5039770099     0.0628   2026-09-08 10:30:03
    58     59    0.0024300040    0.0053303445     6778.0819621476    0.0026577807        0.4925882708     0.0632   2026-09-08 10:30:03
    59     60    0.0026269233    0.0049167155     6778.0804302357    0.0015319119        0.2896380594     0.0604   2026-09-08 10:30:03
    60     61    0.0011731000    0.0024942238     6778.0799861753    0.0004440603        0.1923269889     0.0595   2026-09-08 10:30:03
    61     62    0.0005036381    0.0011134469     6778.0797880235    0.0001981518        0.1759770852     0.0619   2026-09-08 10:30:03
    62     63    0.0006106064    0.0013379788     6778.0794947342    0.0002932893        0.1681762174     0.0603   2026-09-08 10:30:03
    63     64    0.0006725125    0.0017238132     6778.0791504193    0.0003443150        0.1750680388     0.0608   2026-09-08 10:30:03
    64     65    0.0006834890    0.0017120896     6778.0789328918    0.0002175275        0.0970083649     0.0622   2026-09-08 10:30:03
    65     66    0.0003939623    0.0009373993     6778.0788687503    0.0000641414        0.0632309490     0.0618   2026-09-08 10:30:03
    66     67    0.0001913980    0.0003764539     6778.0788463418    0.0000224086        0.0571104075     0.0610   2026-09-08 10:30:03
    67     68    0.0002113413    0.0004284183     6778.0788144790    0.0000318628        0.0527568129     0.0681   2026-09-08 10:30:03
    68     69    0.0003497808    0.0006814644     6778.0787641002    0.0000503788        0.0665809076     0.0646   2026-09-08 10:30:03
    69     70    0.0004110423    0.0008425884     6778.0787167416    0.0000473586        0.0596782160     0.0590   2026-09-08 10:30:03
    70     71    0.0003119337    0.0005858794     6778.0786961235    0.0000206182        0.0313078644     0.0608   2026-09-08 10:30:03
    71     72    0.0001186688    0.0002161922     6778.0786914641    0.0000046594        0.0260659126     0.0601   2026-09-08 10:30:04
    72     73    0.0000573325    0.0000972711     6778.0786892168    0.0000022473        0.0225132637     0.0606   2026-09-08 10:30:04
    73     74    0.0000686697    0.0001513193     6778.0786852378    0.0000039790        0.0146032677     0.0593   2026-09-08 10:30:04
    74     75    0.0000809449    0.0002005409     6778.0786808607    0.0000043771        0.0175478180     0.0599   2026-09-08 10:30:04
    75     76    0.0000886016    0.0001930003     6778.0786782634    0.0000025973        0.0121279406     0.0609   2026-09-08 10:30:04
    76     77    0.0000425536    0.0000906794     6778.0786776324    0.0000006310        0.0066875318     0.0716   2026-09-08 10:30:04
    77     78    0.0000180227    0.0000298024     6778.0786774722    0.0000001602        0.0065511440     0.0624   2026-09-08 10:30:04
    78     79    0.0000175423    0.0000318611     6778.0786772615    0.0000002107        0.0061799918     0.0597   2026-09-08 10:30:04
    79     80    0.0000289864    0.0000581122     6778.0786768746    0.0000003870        0.0054859187     0.0600   2026-09-08 10:30:04
    80     81    0.0000500768    0.0000818411     6778.0786764317    0.0000004429        0.0073301399     0.0595   2026-09-08 10:30:04
    81     82    0.0000445505    0.0000706625     6778.0786761568    0.0000002749        0.0056081684     0.0608   2026-09-08 10:30:04
    82     83    0.0000173095    0.0000324470     6778.0786760605    0.0000000963        0.0043072224     0.0632   2026-09-08 10:30:04
    83     84    0.0000102705    0.0000160655     6778.0786760077    0.0000000529        0.0041588655     0.0600   2026-09-08 10:30:04
    84     85    0.0000111178    0.0000206636     6778.0786759336    0.0000000741        0.0030711057     0.0615   2026-09-08 10:30:04
    85     86    0.0000123153    0.0000267481     6778.0786758575    0.0000000760        0.0018996082     0.0617   2026-09-08 10:30:04

<a href = "matlab: helpview('optim','local_min_unconstrained','CSHelpWindow');">Local minimum found</a>.

Optimization completed because the <a href = "matlab: helpview('optim','grad_size','CSHelpWindow');">size of the gradient</a> is less than
the value of the <a href = "matlab: helpview('optim','optimality_tolerance_unc','CSHelpWindow');">optimality tolerance</a>.

<<a href = "matlab: createExitMsg({'optim:fminusub:Exit1basic'},{'optim:fminusub:Exit1detailed','8.493377e-07','1.000000e-06'},true,true);;">stopping criteria details</a>>

__________________________________________________________________________________________________________________

<strong>MNL </strong><strong>in preference-space, weighted by choice task
</strong>                                                     
var.                    coef.    st.err.  p-value   
Tatrzanski             1.3432***  0.1278   0.0000   
Babiogorski           -1.2804***  0.1930   0.0000   
Bialowieski           -0.3086**   0.1544   0.0456   
Biebrzanski           -0.8966***  0.1673   0.0000   
Bieszczadzki           1.0454***  0.1401   0.0000   
BoryTucholskie        -0.0124     0.1309   0.9247   
Drawienski            -1.6834***  0.2011   0.0000   
Gorczanski            -1.7650***  0.2438   0.0000   
GorStolowych          -0.0913     0.1429   0.5229   
Kampinoski            -0.7089***  0.1418   0.0000   
Karkonoski             0.3686***  0.1330   0.0056   
Magurski              -1.1436***  0.1978   0.0000   
Narwianski            -1.4154***  0.1921   0.0000   
Ojcowski              -0.1170     0.1368   0.3924   
Pieninski             -0.0557     0.1493   0.7092   
Poleski               -1.6515***  0.2097   0.0000   
Roztoczanski          -0.6051***  0.1589   0.0001   
Slowinski             -0.2826*    0.1491   0.0580   
Swietokrzyski         -0.1822     0.1361   0.1809   
UjscieWarty           -1.0361***  0.1754   0.0000   
Wielkopolski          -0.6513***  0.1398   0.0000   
Wigierski             -0.9036***  0.1833   0.0000   
-TC/100                1.4072***  0.0309   0.0000   
 
<strong>Model diagnostics: 
</strong>LL at convergence:             -6778.0787
LL at constant(s) only:        -8153.6184
McFadden's pseudo-R²:              0.1687
Ben-Akiva-Lerman's pseudo-R²:      0.0188
AIC/n:                             0.2093
BIC/n:                             0.2125
n (observations):              64998
r (respondents):                2826
k (parameters):                   23
 
Estimation method      weighted maximum likelihood (choice-task weights)
Optimization method    quasi-newton
Gradient               user-supplied, analytical
Hessian                retained from optimization
 
 
Estimation completed on Tuesday, 2026-09-08 at 10:30:10
Estimation took 3.5239 seconds (0 hours 0 minutes 3.5239 seconds).
 
__________________________________________________________________________________________________________________
 
Estimating Negative Binomial (NB2) regression model ...
without truncation
without censoring.
Using linear regression estimates as starting values
Initial values: [-0.37 0.0016 0.34 0.091 0.16 0.0027 0.4 0.64 0.51 0]

Opmization algorithm: <strong>quasi-newton
</strong>Gradient: <strong>user-supplied, analytical 
</strong>Hessian: <strong>off, </strong><strong>retained from optimization 
</strong>
 Iter.  Eval.         max|dB|            Step                f(x)         df prev          Opt. Cond.   Iter sec             Date/time
     0      1             NaN             NaN    12031.0493732278             NaN   130721.1378117662     0.0001   2026-09-08 10:30:10
     1      4    0.0112951242    0.0113003428    11630.2685906175  400.7807826104    50032.4428379163     0.0035   2026-09-08 10:30:10
     2      5    0.0031245325    0.0031255816    11540.9196587922   89.3489318253     6213.0293800830     0.0007   2026-09-08 10:30:10
     3      6    0.0004459465    0.0004634386    11539.3936231549    1.5260356373     1745.2334665231     0.0008   2026-09-08 10:30:10
     4      9    0.0108957273    0.0118735134    11519.3929829488   20.0006402061     8528.5585128675     0.0033   2026-09-08 10:30:10
     5     10    0.0922259353    0.1004170994    11383.0440716983  136.3489112505    36615.4752992816     0.0008   2026-09-08 10:30:10
     6     11    0.2302776566    0.2506882709    11110.0600300703  272.9840416281    61254.3569182598     0.0008   2026-09-08 10:30:10
     7     12    0.4013678193    0.4369182583    10755.1690351084  354.8909949619    61112.3506755473     0.0010   2026-09-08 10:30:10
     8     13    0.2895958488    0.3152370009    10576.6047739971  178.5642611113    41961.5975553282     0.0008   2026-09-08 10:30:10
     9     14    0.1119691952    0.1218907845    10502.6821392417   73.9226347554    23051.1539101113     0.0008   2026-09-08 10:30:10
    10     15    0.0114547832    0.0126548360    10470.0687089539   32.6134302878     6903.2587354737     0.0008   2026-09-08 10:30:10
    11     16    0.0208695718    0.0227459633    10465.9498087729    4.1189001809      500.1229915635     0.0008   2026-09-08 10:30:10
    12     17    0.0055722074    0.0060703248    10465.8935615683    0.0562472046      115.3157769027     0.0008   2026-09-08 10:30:10
    13     18    0.0013339513    0.0014560580    10465.8893361062    0.0042254621      115.0784678553     0.0007   2026-09-08 10:30:10
    14     19    0.0014121608    0.0015478047    10465.8838650264    0.0054710798      114.5174741458     0.0007   2026-09-08 10:30:10
    15     20    0.0015257738    0.0016863423    10465.8739485172    0.0099165092      113.8191409005     0.0008   2026-09-08 10:30:10
    16     21    0.0028288729    0.0031703075    10465.8441597182    0.0297887990      212.1065714565     0.0008   2026-09-08 10:30:10
    17     22    0.0042738088    0.0049154896    10465.7702430978    0.0739166204      411.9036022963     0.0009   2026-09-08 10:30:10
    18     23    0.0068583270    0.0082854386    10465.5744096357    0.1958334621      738.9190397824     0.0009   2026-09-08 10:30:10
    19     24    0.0103073157    0.0137370981    10465.0768413336    0.4975683021     1247.3943068726     0.0009   2026-09-08 10:30:10
    20     25    0.0142562495    0.0233054078    10463.8476182382    1.2292230955     1997.8919816592     0.0010   2026-09-08 10:30:10
    21     26    0.0215568244    0.0388139518    10461.1032127321    2.7444055061     2913.2284615177     0.0010   2026-09-08 10:30:10
    22     27    0.0365181036    0.0585890077    10456.1421027844    4.9611099477     3486.8443495819     0.0011   2026-09-08 10:30:10
    23     28    0.0409314916    0.0700997000    10450.0897982126    6.0523045719     2821.5592176511     0.0009   2026-09-08 10:30:10
    24     29    0.0469572659    0.0556969816    10446.6923002637    3.3974979489     1127.9175803050     0.0008   2026-09-08 10:30:10
    25     30    0.0182674711    0.0199285850    10446.2595782995    0.4327219642      185.4794465623     0.0010   2026-09-08 10:30:10
    26     31    0.0026089977    0.0045731499    10446.2430977346    0.0164805649       45.8507103039     0.0009   2026-09-08 10:30:10
    27     32    0.0005679272    0.0009102169    10446.2424569058    0.0006408288       45.7744905421     0.0010   2026-09-08 10:30:10
    28     33    0.0002024001    0.0003303846    10446.2421107297    0.0003461761       45.7597717939     0.0011   2026-09-08 10:30:10
    29     34    0.0006082464    0.0009984137    10446.2404640672    0.0016466625       45.7168332679     0.0012   2026-09-08 10:30:10
    30     35    0.0007885310    0.0013061092    10446.2369041807    0.0035598865       45.6530623007     0.0008   2026-09-08 10:30:10
    31     36    0.0013429630    0.0022636904    10446.2268415854    0.0100625953       45.5182182814     0.0014   2026-09-08 10:30:10
    32     37    0.0019948719    0.0034928118    10446.2013211722    0.0255204133       45.2473707387     0.0009   2026-09-08 10:30:10
    33     38    0.0029542957    0.0056507706    10446.1342720185    0.0670491536       44.6503623143     0.0008   2026-09-08 10:30:10
    34     39    0.0044785420    0.0093010102    10445.9629808064    0.1712912122       43.3065733010     0.0009   2026-09-08 10:30:10
    35     40    0.0093017396    0.0168651276    10445.5368599114    0.4261208950       58.0944857815     0.0009   2026-09-08 10:30:10
    36     41    0.0245673755    0.0338832322    10444.5619397432    0.9749201682       89.7106214259     0.0008   2026-09-08 10:30:10
    37     42    0.0523518859    0.0659307758    10442.7205897513    1.8413499919      122.4736270643     0.0008   2026-09-08 10:30:10
    38     43    0.0752219859    0.0952619576    10440.4156882763    2.3049014750      132.2718190598     0.0010   2026-09-08 10:30:10
    39     44    0.0508058941    0.0719573065    10439.0428064140    1.3728818623       71.7054181952     0.0012   2026-09-08 10:30:10
    40     45    0.0131375588    0.0214173438    10438.7520469871    0.2907594269        6.5690070746     0.0009   2026-09-08 10:30:10
    41     46    0.0059792407    0.0084567665    10438.7306573334    0.0213896537       10.7189100782     0.0008   2026-09-08 10:30:10
    42     47    0.0016766083    0.0020881096    10438.7301070797    0.0005502538        5.7407348497     0.0009   2026-09-08 10:30:10
    43     48    0.0001409997    0.0001875945    10438.7300951851    0.0000118946        5.7314063423     0.0010   2026-09-08 10:30:10
    44     49    0.0000894971    0.0001219698    10438.7300822233    0.0000129617        5.7257410748     0.0009   2026-09-08 10:30:10
    45     50    0.0001954826    0.0002675615    10438.7300366543    0.0000455690        5.7129850311     0.0009   2026-09-08 10:30:10
    46     51    0.0002811572    0.0003868084    10438.7299289968    0.0001076575       10.4201440288     0.0008   2026-09-08 10:30:10
    47     52    0.0004680289    0.0006497688    10438.7296357490    0.0002932478       19.3783617571     0.0009   2026-09-08 10:30:10
    48     53    0.0007263325    0.0010263777    10438.7288814587    0.0007542903       33.5908799875     0.0008   2026-09-08 10:30:10
    49     54    0.0011283321    0.0016540840    10438.7269078257    0.0019736330       56.4987540125     0.0008   2026-09-08 10:30:10
    50     55    0.0016611577    0.0026450590    10438.7218396111    0.0050682146       92.4642726867     0.0010   2026-09-08 10:30:10
    51     56    0.0024662911    0.0042985935    10438.7091406242    0.0126989869      146.4712689278     0.0008   2026-09-08 10:30:10
    52     57    0.0045866507    0.0072243059    10438.6795235078    0.0296171164      217.3797175139     0.0008   2026-09-08 10:30:10
    53     58    0.0075070618    0.0123467337    10438.6212648108    0.0582586970      278.3392934435     0.0011   2026-09-08 10:30:10
    54     59    0.0088821950    0.0181131211    10438.5421704796    0.0790943312      259.0341317848     0.0009   2026-09-08 10:30:10
    55     60    0.0100994763    0.0168781424    10438.4870616628    0.0551088168      134.0507978844     0.0008   2026-09-08 10:30:10
    56     61    0.0060603507    0.0081014350    10438.4724620383    0.0145996246       27.4418832105     0.0008   2026-09-08 10:30:10
    57     62    0.0015272767    0.0024743806    10438.4712615180    0.0012005203        3.9840991430     0.0008   2026-09-08 10:30:10
    58     63    0.0002840962    0.0005047075    10438.4712285685    0.0000329495        3.9894975641     0.0007   2026-09-08 10:30:10
    59     64    0.0000364089    0.0000747367    10438.4712245119    0.0000040567        3.9907491881     0.0011   2026-09-08 10:30:10
    60     65    0.0001205639    0.0002502211    10438.4712034159    0.0000210959        3.9950200117     0.0008   2026-09-08 10:30:10
    61     66    0.0001490627    0.0003150199    10438.4711593801    0.0000440358        4.0003948636     0.0007   2026-09-08 10:30:10
    62     67    0.0002572955    0.0005535036    10438.4710328622    0.0001265179        4.2981180707     0.0008   2026-09-08 10:30:10
    63     68    0.0004084138    0.0008408441    10438.4707131770    0.0003196851        7.7642191618     0.0007   2026-09-08 10:30:10
    64     69    0.0006876377    0.0013234182    10438.4698671953    0.0008459817       13.4300173961     0.0007   2026-09-08 10:30:10
    65     70    0.0011468287    0.0019999491    10438.4676788406    0.0021883546       22.4485781875     0.0007   2026-09-08 10:30:10
    66     71    0.0019414911    0.0030016293    10438.4620425924    0.0056362482       36.6396884550     0.0008   2026-09-08 10:30:10
    67     72    0.0032519213    0.0047555820    10438.4479858655    0.0140567269       57.7962572739     0.0008   2026-09-08 10:30:10
    68     73    0.0051432305    0.0092665422    10438.4154231721    0.0325626934       85.1842595904     0.0008   2026-09-08 10:30:10
    69     74    0.0137381111    0.0199765369    10438.3524666934    0.0629564787      107.5162113428     0.0007   2026-09-08 10:30:10
    70     75    0.0244190584    0.0333193645    10438.2699339609    0.0825327325       97.2791996873     0.0008   2026-09-08 10:30:10
    71     76    0.0215675404    0.0301697084    10438.2157171796    0.0542167813       47.8475229041     0.0010   2026-09-08 10:30:10
    72     77    0.0056813478    0.0106234263    10438.2023616516    0.0133555280        8.6718666212     0.0008   2026-09-08 10:30:10
    73     78    0.0016044416    0.0026473078    10438.2013477766    0.0010138750        3.7003211509     0.0008   2026-09-08 10:30:10
    74     79    0.0005337324    0.0007406692    10438.2013231559    0.0000246206        3.6566647807     0.0008   2026-09-08 10:30:10
    75     80    0.0000820961    0.0001120555    10438.2013201160    0.0000030399        3.6518874792     0.0007   2026-09-08 10:30:10
    76     81    0.0003011282    0.0004124164    10438.2013027921    0.0000173239        3.6344575163     0.0008   2026-09-08 10:30:10
    77     82    0.0003708375    0.0005108062    10438.2012672215    0.0000355706        3.6122103618     0.0007   2026-09-08 10:30:10
    78     83    0.0006513921    0.0009056407    10438.2011642985    0.0001029230        3.5707696043     0.0008   2026-09-08 10:30:10
    79     84    0.0009713445    0.0013730329    10438.2009050870    0.0002592115        4.6558988016     0.0008   2026-09-08 10:30:10
    80     85    0.0014807230    0.0021579661    10438.2002196040    0.0006854830        7.9901279347     0.0008   2026-09-08 10:30:10
    81     86    0.0020670034    0.0032074549    10438.1984548917    0.0017647123       13.2562142183     0.0008   2026-09-08 10:30:10
    82     87    0.0024800962    0.0045009115    10438.1939602847    0.0044946070       21.3848764408     0.0007   2026-09-08 10:30:10
    83     88    0.0030582787    0.0056722625    10438.1830704663    0.0108898184       32.8872545486     0.0008   2026-09-08 10:30:10
    84     89    0.0044138274    0.0078329948    10438.1595698347    0.0235006316       45.6785654259     0.0009   2026-09-08 10:30:10
    85     90    0.0143178936    0.0174477375    10438.1207795500    0.0387902847       50.5791451347     0.0009   2026-09-08 10:30:10
    86     91    0.0253552680    0.0292894574    10438.0828231946    0.0379563555       35.6512537553     0.0010   2026-09-08 10:30:10
    87     92    0.0187180132    0.0228758471    10438.0666468180    0.0161763766       11.5110297096     0.0011   2026-09-08 10:30:10
    88     93    0.0038266081    0.0062183882    10438.0643648221    0.0022819959        2.1268900102     0.0008   2026-09-08 10:30:10
    89     94    0.0005195341    0.0009314660    10438.0642684614    0.0000963607        2.1229280223     0.0009   2026-09-08 10:30:10
    90     95    0.0001905734    0.0002200429    10438.0642660634    0.0000023980        2.1136925631     0.0008   2026-09-08 10:30:10
    91     96    0.0000964770    0.0001113656    10438.0642642639    0.0000017995        2.1086442679     0.0008   2026-09-08 10:30:10
    92     97    0.0002603893    0.0003013133    10438.0642565777    0.0000076861        2.0948391256     0.0008   2026-09-08 10:30:10
    93     98    0.0003519811    0.0004090839    10438.0642394028    0.0000171749        2.0759330911     0.0007   2026-09-08 10:30:10
    94     99    0.0005975689    0.0006995397    10438.0641914880    0.0000479149        2.0431950037     0.0008   2026-09-08 10:30:10
    95    100    0.0009119496    0.0010811854    10438.0640691007    0.0001223873        2.4263140529     0.0008   2026-09-08 10:30:10
    96    101    0.0014068169    0.0017068068    10438.0637464306    0.0003226701        4.1145735185     0.0007   2026-09-08 10:30:10
    97    102    0.0020429221    0.0025946963    10438.0629094834    0.0008369473        6.8105360989     0.0010   2026-09-08 10:30:10
    98    103    0.0026946399    0.0038017952    10438.0607487050    0.0021607783       11.0684834742     0.0008   2026-09-08 10:30:10
    99    104    0.0030897449    0.0052237226    10438.0553168332    0.0054318718       17.4949860295     0.0007   2026-09-08 10:30:10
   100    105    0.0047621948    0.0072458634    10438.0424924982    0.0128243351       26.1090650371     0.0010   2026-09-08 10:30:10
   101    106    0.0094988458    0.0140036596    10438.0165763314    0.0259161667       34.1085979984     0.0008   2026-09-08 10:30:10
   102    107    0.0268141851    0.0287633858    10437.9793472697    0.0372290618       33.3876922145     0.0007   2026-09-08 10:30:10
   103    108    0.0347308475    0.0354485614    10437.9505871044    0.0287601652       19.1462143104     0.0008   2026-09-08 10:30:10
   104    109    0.0176652212    0.0190491157    10437.9416913341    0.0088957703        4.5176179861     0.0007   2026-09-08 10:30:10
   105    110    0.0022503893    0.0035825943    10437.9408362230    0.0008551112        3.0863210595     0.0007   2026-09-08 10:30:10
   106    111    0.0007446519    0.0008990936    10437.9408098751    0.0000263479        3.0435193625     0.0007   2026-09-08 10:30:10
   107    112    0.0001601940    0.0001649671    10437.9408081477    0.0000017274        3.0389292336     0.0007   2026-09-08 10:30:10
   108    113    0.0003227364    0.0003313816    10437.9408028045    0.0000053432        3.0300144033     0.0007   2026-09-08 10:30:10
   109    114    0.0004638446    0.0004764603    10437.9407902203    0.0000125842        3.0168523336     0.0007   2026-09-08 10:30:10
   110    115    0.0007741118    0.0007960085    10437.9407558930    0.0000343273        2.9937787765     0.0007   2026-09-08 10:30:10
   111    116    0.0012041598    0.0012406235    10437.9406675469    0.0000883461        2.9549587805     0.0007   2026-09-08 10:30:10
   112    117    0.0018830064    0.0019471934    10437.9404357554    0.0002317915        2.8863952751     0.0007   2026-09-08 10:30:10
   113    118    0.0028170817    0.0029358854    10437.9398365132    0.0005992422        4.4981916450     0.0007   2026-09-08 10:30:10
   114    119    0.0039121656    0.0041580405    10437.9383083758    0.0015281374        7.2718426104     0.0007   2026-09-08 10:30:10
   115    120    0.0044304052    0.0050560207    10437.9345825415    0.0037258344       11.2345040449     0.0013   2026-09-08 10:30:10
   116    121    0.0026704157    0.0046044598    10437.9264386372    0.0081439043       15.7521427444     0.0007   2026-09-08 10:30:10
   117    122    0.0072651890    0.0094725120    10437.9126516462    0.0137869909       17.7876190983     0.0008   2026-09-08 10:30:10
   118    123    0.0205824807    0.0214924297    10437.8985595773    0.0140920689       13.0785959364     0.0007   2026-09-08 10:30:10
   119    124    0.0202523030    0.0206023765    10437.8920619660    0.0064976113        4.6405629263     0.0008   2026-09-08 10:30:10
   120    125    0.0067014222    0.0069648992    10437.8910419113    0.0010200547        0.5330980597     0.0007   2026-09-08 10:30:10
   121    126    0.0003486042    0.0005634359    10437.8909968815    0.0000450298        0.5127669747     0.0007   2026-09-08 10:30:10
   122    127    0.0001675489    0.0001787513    10437.8909961728    0.0000007087        0.5104842150     0.0007   2026-09-08 10:30:10
   123    128    0.0000227856    0.0000231442    10437.8909961294    0.0000000434        0.5103797851     0.0008   2026-09-08 10:30:10
   124    129    0.0000855198    0.0000867933    10437.8909958804    0.0000002490        0.5099795095     0.0007   2026-09-08 10:30:10
   125    130    0.0001064101    0.0001080096    10437.8909953707    0.0000005097        0.5093949592     0.0008   2026-09-08 10:30:10
   126    131    0.0001909434    0.0001938848    10437.8909938948    0.0000014760        0.5080950624     0.0008   2026-09-08 10:30:10
   127    132    0.0002942281    0.0002989825    10437.8909901836    0.0000037112        0.5054481292     0.0008   2026-09-08 10:30:10
   128    133    0.0004741596    0.0004825752    10437.8909803977    0.0000097859        0.7077371531     0.0008   2026-09-08 10:30:10
   129    134    0.0007293687    0.0007450158    10437.8909554079    0.0000249897        1.1636138182     0.0007   2026-09-08 10:30:10
   130    135    0.0010611771    0.0010944536    10437.8908930591    0.0000623489        1.8424227829     0.0007   2026-09-08 10:30:10
   131    136    0.0012921497    0.0013783506    10437.8907496143    0.0001434447        2.7099349886     0.0007   2026-09-08 10:30:10
   132    137    0.0008429088    0.0011643800    10437.8904756340    0.0002739803        3.3880656510     0.0007   2026-09-08 10:30:10
   133    138    0.0010102325    0.0014352000    10437.8901253123    0.0003503217        3.0020776520     0.0007   2026-09-08 10:30:10
   134    139    0.0028215935    0.0029162565    10437.8899042170    0.0002210953        1.4338317288     0.0007   2026-09-08 10:30:10
   135    140    0.0019413066    0.0019692473    10437.8898522033    0.0000520137        0.2600829119     0.0007   2026-09-08 10:30:10
   136    141    0.0003938675    0.0004158965    10437.8898484019    0.0000038014        0.0042236685     0.0007   2026-09-08 10:30:10

<a href = "matlab: helpview('optim','local_min_unconstrained','CSHelpWindow');">Local minimum found</a>.

Optimization completed because the <a href = "matlab: helpview('optim','grad_size','CSHelpWindow');">size of the gradient</a> is less than
the value of the <a href = "matlab: helpview('optim','optimality_tolerance_unc','CSHelpWindow');">optimality tolerance</a>.

<<a href = "matlab: createExitMsg({'optim:fminusub:Exit1basic'},{'optim:fminusub:Exit1detailed','3.231028e-08','1.000000e-06'},true,true);;">stopping criteria details</a>>

__________________________________________________________________________________________________________________

<strong>Negative Binomial </strong><strong>
</strong>                                                                       
var.                                      coef.      st.err.  p-value   
Constant                                -0.0797       0.0939   0.3963   
Consumer surplus per trip                0.0028***    0.0010   0.0051   
Household income (10k PLN)               0.5324***    0.0840   0.0000   
Male                                     0.1315***    0.0510   0.0099   
Higher education                         0.2182***    0.0584   0.0002   
City                                    -0.0463       0.0521   0.3748   
Winter                                   0.8645***    0.0730   0.0000   
Hiking                                   0.5287***    0.0557   0.0000   
Skiing                                   0.8565***    0.2494   0.0006   
 
                                                                       
                                      Overdispersion parameters        
var.                                      coef.      st.err.            
ln alpha                                 1.1400       0.0269            
 
                                                                       
                                      Consumer Surplus                 
var.                                      coef.      st.err.  p-value   
-1/(Consumer surplus per trip)        -351.6460***  125.4558   0.0051   
 
<strong>Model diagnostics: 
</strong>LL at convergence:             -10437.8898
LL at constant(s) only:        -10645.7640
McFadden's pseudo-R²:               0.0195
AIC/n:                              3.5689
BIC/n:                              3.5803
n (observations):                5855
r (respondents):                 5855
k (parameters):                    10
 
Estimation method      maximum likelihood
Optimization method    quasi-newton
Gradient               user-supplied, analytical
Hessian                off, retained from optimization
                       
Descriptive statistics 
var                                   Y Consumer surplus per trip
mean                             2.3286         56.3474
median                           0.0000         54.0744
std                              9.9300         26.6408
min                              0.0000        -46.5583
max                            324.0000        131.0847
quantile 0.025                   0.0000          6.7068
quantile 0.975                  13.0000        109.2068
 
 
Estimation completed on Tuesday, 2026-09-08 at 10:30:11
Estimation took 0.21076 seconds (0 hours 0 minutes 0.21076 seconds).

====================================================
all_TC_100  (3 of 6)
====================================================
 
__________________________________________________________________________________________________________________
 
Estimating <strong>choice-task weighted </strong>MNL model ...
in preference-space ...
total weight:                    2826.0000
choice tasks:                        64998
Using linear regression estimates as starting values
 Iter.  Eval.         max|dB|            Step                f(x)         df prev          Opt. Cond.   Iter sec             Date/time
     0      1             NaN             NaN     8869.6455143582             NaN     2735.5570653828     0.0000   2026-09-08 10:31:11
     1      2    1.0000000000    1.0132740575     7512.9732084318 1356.6723059264      325.7265323183     0.0621   2026-09-08 10:31:11
     2      4    1.2661368705    1.7147036562     7045.2111495617  467.7620588701      462.9698441581     0.1218   2026-09-08 10:31:11
     3      5    0.6471062839    0.8898435408     6931.0292796285  114.1818699332      259.5709379401     0.0707   2026-09-08 10:31:11
     4      6    0.1167105776    0.1394374645     6899.0017310040   32.0275486245      113.9537395111     0.0585   2026-09-08 10:31:12
     5      7    0.0995477104    0.1712966325     6878.6589047482   20.3428262558      108.1520821538     0.0591   2026-09-08 10:31:12
     6      8    0.1242552503    0.2007220001     6859.9601863117   18.6987184365      174.1102832221     0.0596   2026-09-08 10:31:12
     7      9    0.3632107681    0.5815090509     6823.3945791600   36.5656071517      187.4271137297     0.0596   2026-09-08 10:31:12
     8     10    0.1378494801    0.2445207499     6811.8420133526   11.5525658074       81.5497417665     0.0593   2026-09-08 10:31:12
     9     11    0.0471839053    0.0950262373     6808.5903573944    3.2516559582       20.5531118374     0.0586   2026-09-08 10:31:12
    10     12    0.0165347268    0.0402889071     6807.5477548440    1.0426025505       23.2625715681     0.0601   2026-09-08 10:31:12
    11     13    0.0505784601    0.1270042460     6804.6606242171    2.8871306268       58.3875430901     0.0594   2026-09-08 10:31:12
    12     14    0.0680380475    0.1689235734     6801.5173822970    3.1432419201       67.5480941742     0.0593   2026-09-08 10:31:12
    13     15    0.0622146136    0.1581994064     6799.2049707255    2.3124115715       40.8175982581     0.0594   2026-09-08 10:31:12
    14     16    0.0193333283    0.0496325791     6798.5573057659    0.6476649596        9.5216431757     0.0590   2026-09-08 10:31:12
    15     17    0.0111157684    0.0171830194     6798.4015429229    0.1557628430        6.2785409824     0.0600   2026-09-08 10:31:12
    16     18    0.0093825834    0.0187271883     6798.2477234506    0.1538194724       11.4604542930     0.0588   2026-09-08 10:31:12
    17     19    0.0174521709    0.0417419750     6797.9132480543    0.3344753963       20.7982150795     0.0590   2026-09-08 10:31:12
    18     20    0.0330620756    0.0719419133     6797.4452549710    0.4679930833       24.0092991108     0.0589   2026-09-08 10:31:12
    19     21    0.0451912450    0.0860932424     6797.0317731671    0.4134818039       15.7380493988     0.0604   2026-09-08 10:31:12
    20     22    0.0293809977    0.0536539474     6796.8378714849    0.1939016822        7.7188884826     0.0597   2026-09-08 10:31:12
    21     23    0.0134562341    0.0253268933     6796.7420376526    0.0958338323        6.8580396328     0.0592   2026-09-08 10:31:13
    22     24    0.0162745200    0.0301155714     6796.6045735279    0.1374641248       10.8802817516     0.0607   2026-09-08 10:31:13
    23     25    0.0331146184    0.0613289736     6796.3233403636    0.2812331643       18.7776804844     0.0605   2026-09-08 10:31:13
    24     26    0.0556313358    0.1079394015     6795.8824268248    0.4409135388       22.5551395818     0.0595   2026-09-08 10:31:13
    25     27    0.0601959121    0.1269595261     6795.4468025177    0.4356243071       16.2453170227     0.0593   2026-09-08 10:31:13
    26     28    0.0302290858    0.0762368936     6795.2090885735    0.2377139441        5.5499312350     0.0599   2026-09-08 10:31:13
    27     29    0.0137785513    0.0318201300     6795.0804218194    0.1286667541        5.2738888117     0.0598   2026-09-08 10:31:13
    28     30    0.0138557963    0.0341557580     6794.9108464354    0.1695753840       12.0082855246     0.0596   2026-09-08 10:31:13
    29     31    0.0259789643    0.0754849402     6794.5647383707    0.3461080647       20.8577003664     0.0592   2026-09-08 10:31:13
    30     32    0.0577858926    0.1590519140     6793.9670744853    0.5976638853       26.6182830027     0.0600   2026-09-08 10:31:13
    31     33    0.0939495033    0.2305659850     6793.2793750815    0.6876994038       21.8268542930     0.0587   2026-09-08 10:31:13
    32     34    0.0779165136    0.1768360876     6792.8460233866    0.4333516949        8.2006981704     0.0596   2026-09-08 10:31:13
    33     35    0.0322966043    0.0709516053     6792.6534615003    0.1925618863        5.2507898393     0.0601   2026-09-08 10:31:13
    34     36    0.0176285873    0.0448588031     6792.4811880379    0.1722734624       10.0961807949     0.0608   2026-09-08 10:31:13
    35     37    0.0285348737    0.0892463741     6792.1265491240    0.3546389139       19.1140616190     0.0595   2026-09-08 10:31:13
    36     38    0.0541793385    0.1808282510     6791.4977436233    0.6288055007       26.1589491377     0.0605   2026-09-08 10:31:13
    37     39    0.0810852940    0.2732181088     6790.7077668137    0.7899768096       23.9105990205     0.0595   2026-09-08 10:31:13
    38     40    0.0626807172    0.2125442561     6790.1822378713    0.5255289424       11.0403326180     0.0594   2026-09-08 10:31:14
    39     41    0.0243103852    0.0678890635     6789.9769915598    0.2052463115        6.8221665633     0.0619   2026-09-08 10:31:14
    40     42    0.0090801249    0.0230827817     6789.8564464937    0.1205450661        6.2246379879     0.0595   2026-09-08 10:31:14
    41     43    0.0148088074    0.0357910859     6789.6598562128    0.1965902809       11.6956415032     0.0604   2026-09-08 10:31:14
    42     44    0.0279001562    0.0769481338     6789.3673388214    0.2925173914       14.1605239805     0.0587   2026-09-08 10:31:14
    43     45    0.0376370549    0.1112111651     6789.1037079604    0.2636308609        9.9696776074     0.0603   2026-09-08 10:31:14
    44     46    0.0258637677    0.0745877458     6788.9907264946    0.1129814658        4.0658309253     0.0597   2026-09-08 10:31:14
    45     47    0.0082730995    0.0233553297     6788.9573243943    0.0334021003        3.1665352491     0.0609   2026-09-08 10:31:14
    46     48    0.0066105023    0.0133942922     6788.9289380307    0.0283863636        3.0095325316     0.0588   2026-09-08 10:31:14
    47     49    0.0120414568    0.0243397880     6788.8703250249    0.0586130058        5.4997060318     0.0597   2026-09-08 10:31:14
    48     50    0.0149832530    0.0366781728     6788.7893271809    0.0809978439        6.3321347008     0.0595   2026-09-08 10:31:14
    49     51    0.0174306092    0.0378324430     6788.7215851392    0.0677420417        4.0815503599     0.0600   2026-09-08 10:31:14
    50     52    0.0104902801    0.0186269233     6788.6946072128    0.0269779264        1.7806353459     0.0610   2026-09-08 10:31:14
    51     53    0.0036840925    0.0069143044     6788.6847069211    0.0099002917        1.3909193169     0.0594   2026-09-08 10:31:14
    52     54    0.0036977532    0.0065796725     6788.6733764348    0.0113304863        1.9248115548     0.0604   2026-09-08 10:31:14
    53     55    0.0078266506    0.0126851075     6788.6514461085    0.0219303264        3.1337276868     0.0603   2026-09-08 10:31:14
    54     56    0.0119517663    0.0211930298     6788.6227931896    0.0286529189        3.2820210994     0.0603   2026-09-08 10:31:15
    55     57    0.0101733005    0.0225724079     6788.6017698577    0.0210233319        1.8467814769     0.0598   2026-09-08 10:31:15
    56     58    0.0049526355    0.0114405925     6788.5943287206    0.0074411371        0.9725305128     0.0608   2026-09-08 10:31:15
    57     59    0.0023597240    0.0040340474     6788.5915160721    0.0028126485        0.9841295156     0.0584   2026-09-08 10:31:15
    58     60    0.0023138711    0.0042001570     6788.5877249940    0.0037910780        1.0306225211     0.0598   2026-09-08 10:31:15
    59     61    0.0031326730    0.0073364251     6788.5810957082    0.0066292859        1.5063463415     0.0604   2026-09-08 10:31:15
    60     62    0.0057654354    0.0102246192     6788.5737654964    0.0073302117        1.3402169873     0.0599   2026-09-08 10:31:15
    61     63    0.0051608183    0.0081604646     6788.5697373599    0.0040281365        0.5714174629     0.0612   2026-09-08 10:31:15
    62     64    0.0017223208    0.0031107646     6788.5686970201    0.0010403398        0.4274638000     0.0593   2026-09-08 10:31:15
    63     65    0.0007298791    0.0011737702     6788.5683073082    0.0003897119        0.3914799164     0.0593   2026-09-08 10:31:15
    64     66    0.0007636302    0.0016432700     6788.5676506904    0.0006566178        0.3852513697     0.0594   2026-09-08 10:31:15
    65     67    0.0011909690    0.0027262613     6788.5666145338    0.0010361566        0.5057293339     0.0592   2026-09-08 10:31:15
    66     68    0.0015981285    0.0035990057     6788.5656024749    0.0010120589        0.3954954722     0.0596   2026-09-08 10:31:15
    67     69    0.0011876248    0.0025117242     6788.5651644561    0.0004380188        0.1442586083     0.0597   2026-09-08 10:31:15
    68     70    0.0005198403    0.0008552727     6788.5650784653    0.0000859908        0.1094441630     0.0610   2026-09-08 10:31:15
    69     71    0.0001747760    0.0003053071     6788.5650489558    0.0000295096        0.0974816118     0.0606   2026-09-08 10:31:15
    70     72    0.0002208158    0.0005092413     6788.5649893933    0.0000595625        0.0846760689     0.0562   2026-09-08 10:31:15
    71     73    0.0003659837    0.0008587549     6788.5648918195    0.0000975738        0.1211040896     0.0594   2026-09-08 10:31:16
    72     74    0.0006345391    0.0012222553     6788.5647832745    0.0001085450        0.1074349018     0.0590   2026-09-08 10:31:16
    73     75    0.0005215042    0.0009263090     6788.5647277934    0.0000554810        0.0533438006     0.0602   2026-09-08 10:31:16
    74     76    0.0001644314    0.0003470755     6788.5647143902    0.0000134032        0.0353315876     0.0611   2026-09-08 10:31:16
    75     77    0.0000716167    0.0001284129     6788.5647096573    0.0000047330        0.0325180618     0.0596   2026-09-08 10:31:16
    76     78    0.0000903275    0.0001864833     6788.5647013162    0.0000083410        0.0296994981     0.0601   2026-09-08 10:31:16
    77     79    0.0001085809    0.0003106644     6788.5646878323    0.0000134839        0.0348915779     0.0588   2026-09-08 10:31:16
    78     80    0.0001914391    0.0004240757     6788.5646739357    0.0000138967        0.0302503281     0.0622   2026-09-08 10:31:16
    79     81    0.0001477818    0.0003094387     6788.5646675617    0.0000063740        0.0192368763     0.0607   2026-09-08 10:31:16
    80     82    0.0000497068    0.0001079650     6788.5646663371    0.0000012246        0.0119379885     0.0581   2026-09-08 10:31:16
    81     83    0.0000202366    0.0000332348     6788.5646660440    0.0000002931        0.0116997365     0.0612   2026-09-08 10:31:16
    82     84    0.0000251748    0.0000421721     6788.5646655848    0.0000004592        0.0096094621     0.0594   2026-09-08 10:31:16
    83     85    0.0000299227    0.0000659548     6788.5646648529    0.0000007318        0.0069461296     0.0588   2026-09-08 10:31:16
    84     86    0.0000402256    0.0000851719     6788.5646641358    0.0000007171        0.0071833904     0.0593   2026-09-08 10:31:16
    85     87    0.0000293640    0.0000658447     6788.5646637851    0.0000003507        0.0060695009     0.0599   2026-09-08 10:31:16
    86     88    0.0000132838    0.0000306015     6788.5646636647    0.0000001204        0.0064943474     0.0592   2026-09-08 10:31:16
    87     89    0.0000108610    0.0000219530     6788.5646635602    0.0000001045        0.0059030199     0.0594   2026-09-08 10:31:17
    88     90    0.0000197975    0.0000388657     6788.5646633517    0.0000002085        0.0052393490     0.0595   2026-09-08 10:31:17
    89     91    0.0000333887    0.0000606361     6788.5646630545    0.0000002972        0.0046675369     0.0603   2026-09-08 10:31:17
    90     92    0.0000348287    0.0000659723     6788.5646628039    0.0000002506        0.0033672283     0.0589   2026-09-08 10:31:17
    91     93    0.0000137943    0.0000345925     6788.5646627134    0.0000000905        0.0031693114     0.0596   2026-09-08 10:31:17
    92     94    0.0000064819    0.0000111039     6788.5646626946    0.0000000188        0.0029407015     0.0600   2026-09-08 10:31:17
    93     95    0.0000032446    0.0000061287     6788.5646626834    0.0000000112        0.0025553197     0.0619   2026-09-08 10:31:17

<a href = "matlab: helpview('optim','local_min_unconstrained','CSHelpWindow');">Local minimum found</a>.

Optimization completed because the <a href = "matlab: helpview('optim','grad_size','CSHelpWindow');">size of the gradient</a> is less than
the value of the <a href = "matlab: helpview('optim','optimality_tolerance_unc','CSHelpWindow');">optimality tolerance</a>.

<<a href = "matlab: createExitMsg({'optim:fminusub:Exit1basic'},{'optim:fminusub:Exit1detailed','9.337718e-07','1.000000e-06'},true,true);;">stopping criteria details</a>>

__________________________________________________________________________________________________________________

<strong>MNL </strong><strong>in preference-space, weighted by choice task
</strong>                                                     
var.                    coef.    st.err.  p-value   
Tatrzanski             1.3463***  0.1272   0.0000   
Babiogorski           -1.2352***  0.1927   0.0000   
Bialowieski           -0.2493     0.1541   0.1058   
Biebrzanski           -0.8619***  0.1671   0.0000   
Bieszczadzki           1.0994***  0.1396   0.0000   
BoryTucholskie         0.0548     0.1310   0.6757   
Drawienski            -1.6450***  0.2010   0.0000   
Gorczanski            -1.7100***  0.2435   0.0000   
GorStolowych          -0.0356     0.1427   0.8031   
Kampinoski            -0.7150***  0.1420   0.0000   
Karkonoski             0.3907***  0.1329   0.0033   
Magurski              -1.0980***  0.1975   0.0000   
Narwianski            -1.3908***  0.1918   0.0000   
Ojcowski              -0.1105     0.1365   0.4179   
Pieninski             -0.0315     0.1488   0.8323   
Poleski               -1.6341***  0.2096   0.0000   
Roztoczanski          -0.5787***  0.1587   0.0003   
Slowinski             -0.2342     0.1495   0.1172   
Swietokrzyski         -0.1592     0.1359   0.2413   
UjscieWarty           -1.0387***  0.1754   0.0000   
Wielkopolski          -0.6708***  0.1402   0.0000   
Wigierski             -0.8794***  0.1831   0.0000   
-TC/100                1.1424***  0.0252   0.0000   
 
<strong>Model diagnostics: 
</strong>LL at convergence:             -6788.5647
LL at constant(s) only:        -8153.6184
McFadden's pseudo-R²:              0.1674
Ben-Akiva-Lerman's pseudo-R²:      0.0192
AIC/n:                             0.2096
BIC/n:                             0.2128
n (observations):              64998
r (respondents):                2826
k (parameters):                   23
 
Estimation method      weighted maximum likelihood (choice-task weights)
Optimization method    quasi-newton
Gradient               user-supplied, analytical
Hessian                retained from optimization
 
 
Estimation completed on Tuesday, 2026-09-08 at 10:31:22
Estimation took 3.5007 seconds (0 hours 0 minutes 3.5007 seconds).
 
__________________________________________________________________________________________________________________
 
Estimating Negative Binomial (NB2) regression model ...
without truncation
without censoring.
Using linear regression estimates as starting values
Initial values: [-0.4 0.0013 0.4 0.091 0.16 0.0028 0.4 0.64 0.51 0]

Opmization algorithm: <strong>quasi-newton
</strong>Gradient: <strong>user-supplied, analytical 
</strong>Hessian: <strong>off, </strong><strong>retained from optimization 
</strong>
 Iter.  Eval.         max|dB|            Step                f(x)         df prev          Opt. Cond.   Iter sec             Date/time
     0      1             NaN             NaN    12028.5469143593             NaN   159886.1044611636     0.0000   2026-09-08 10:31:23
     1      4    0.0100000000    0.0100030847    11822.1892398737  206.3576744856   101550.3721064882     0.0027   2026-09-08 10:31:23
     2      5    0.0038831034    0.0038834591    11594.7893097917  227.3999300820    12611.9868158178     0.0011   2026-09-08 10:31:23
     3      6    0.0005511468    0.0005568782    11591.5235525107    3.2657572810     1778.1848642035     0.0014   2026-09-08 10:31:23
     4      7    0.0000640994    0.0000867166    11591.3299077927    0.1936447180     1778.0245392712     0.0012   2026-09-08 10:31:23
     5      8    0.0005374857    0.0006469359    11590.2679275005    1.0619802923     3581.4065178964     0.0008   2026-09-08 10:31:23
     6      9    0.0014321535    0.0016879350    11587.9922593031    2.2756681974     8615.7061718212     0.0008   2026-09-08 10:31:23
     7     10    0.0045091641    0.0052891809    11581.5847975311    6.4074617720    17310.8045994163     0.0007   2026-09-08 10:31:23
     8     11    0.0120624812    0.0141284819    11565.5696010501   16.0151964810    30340.4972217609     0.0007   2026-09-08 10:31:23
     9     12    0.0321728893    0.0376644056    11524.8303038336   40.7392972165    49438.8723737924     0.0007   2026-09-08 10:31:23
    10     13    0.0796806483    0.0932623747    11428.6459158147   96.1843880190    72624.9699588738     0.0008   2026-09-08 10:31:23
    11     14    0.1754268893    0.2053083069    11233.2414371157  195.4044786990    89485.6596521334     0.0010   2026-09-08 10:31:23
    12     15    0.2914644591    0.3410890437    10960.0695172946  273.1719198211    84678.9711005956     0.0010   2026-09-08 10:31:23
    13     16    0.2978390663    0.3485306164    10749.9517103722  210.1178069224    64960.8301707345     0.0008   2026-09-08 10:31:23
    14     17    0.1780048685    0.2082898139    10635.9307309286  114.0209794435    45275.3352298637     0.0008   2026-09-08 10:31:23
    15     18    0.0687246393    0.0804290794    10555.6057058608   80.3250250678    22213.7470601312     0.0008   2026-09-08 10:31:23
    16     19    0.0414983544    0.0486496050    10525.3969630358   30.2087428250      951.4912169362     0.0030   2026-09-08 10:31:23
    17     20    0.0374244844    0.0438032513    10523.0550110483    2.3419519875     1111.5123129381     0.0010   2026-09-08 10:31:23
    18     21    0.0258680275    0.0302852578    10522.5345816913    0.5204293570      221.0443705749     0.0009   2026-09-08 10:31:23
    19     22    0.0003371145    0.0003858493    10522.5256389197    0.0089427717      220.1173253063     0.0010   2026-09-08 10:31:23
    20     23    0.0012222647    0.0013718716    10522.4834324205    0.0422064992      495.4715062200     0.0010   2026-09-08 10:31:23
    21     24    0.0018793228    0.0020370842    10522.3792640207    0.1041683999     1214.2401667369     0.0011   2026-09-08 10:31:23
    22     25    0.0032580085    0.0034048506    10522.1009717507    0.2782922700     2400.4286266366     0.0013   2026-09-08 10:31:23
    23     26    0.0055489305    0.0057077655    10521.3842818247    0.7166899260     4277.2159856645     0.0012   2026-09-08 10:31:23
    24     27    0.0097282633    0.0105773426    10519.5393054414    1.8449763832     7216.7743943006     0.0011   2026-09-08 10:31:23
    25     28    0.0169750221    0.0218990788    10514.9646725033    4.5746329381    11522.0813707335     0.0015   2026-09-08 10:31:23
    26     29    0.0281534292    0.0477196592    10504.5340019144   10.4306705889    16830.2657805682     0.0012   2026-09-08 10:31:23
    27     30    0.0461039868    0.0922461334    10485.3792161565   19.1547857579    20439.5055131797     0.0012   2026-09-08 10:31:23
    28     31    0.0619729347    0.1195524199    10463.2602461783   22.1189699782    17383.5023751906     0.0011   2026-09-08 10:31:23
    29     32    0.0372142911    0.0713429209    10450.2454431890   13.0148029894     8512.7710385189     0.0012   2026-09-08 10:31:23
    30     33    0.0136688582    0.0168086020    10446.6811439385    3.5642992505     1595.9156540952     0.0011   2026-09-08 10:31:23
    31     34    0.0090753973    0.0115858054    10446.4283159218    0.2528280167       50.5337686112     0.0009   2026-09-08 10:31:23
    32     35    0.0015694749    0.0027345273    10446.4222274824    0.0060884394       50.3088535596     0.0008   2026-09-08 10:31:23
    33     36    0.0002294083    0.0003822863    10446.4219208223    0.0003066600       50.3437100153     0.0008   2026-09-08 10:31:23
    34     37    0.0001084933    0.0002219119    10446.4216175184    0.0003033039       50.3612210027     0.0009   2026-09-08 10:31:23
    35     38    0.0002766953    0.0005338170    10446.4204306470    0.0011868714       69.0858315136     0.0008   2026-09-08 10:31:23
    36     39    0.0003620203    0.0007568783    10446.4176980893    0.0027325577      140.9372105644     0.0010   2026-09-08 10:31:23
    37     40    0.0006528868    0.0012853341    10446.4101579860    0.0075401033      264.6783823438     0.0007   2026-09-08 10:31:23
    38     41    0.0010221743    0.0020564439    10446.3908197444    0.0193382417      459.8328832120     0.0008   2026-09-08 10:31:23
    39     42    0.0017177493    0.0034604065    10446.3400050336    0.0508147108      777.1560730071     0.0010   2026-09-08 10:31:23
    40     43    0.0030321794    0.0061628241    10446.2088276107    0.1311774229     1279.8772274217     0.0011   2026-09-08 10:31:23
    41     44    0.0079892252    0.0122244618    10445.8754810194    0.3333465913     2055.1856297240     0.0012   2026-09-08 10:31:23
    42     45    0.0198618996    0.0263510466    10445.0720733140    0.8034077055     3141.3475227582     0.0008   2026-09-08 10:31:23
    43     46    0.0437626065    0.0551747182    10443.3687533740    1.7033199400     4288.7750547295     0.0007   2026-09-08 10:31:23
    44     47    0.0734975269    0.0922492047    10440.6765145103    2.6922388637     4524.5504221488     0.0007   2026-09-08 10:31:23
    45     48    0.0705173447    0.0916159013    10438.2637757333    2.4127387770     2881.5740072809     0.0007   2026-09-08 10:31:23
    46     49    0.0214489301    0.0357155989    10437.3838081159    0.8799676174      825.9248118643     0.0008   2026-09-08 10:31:23
    47     50    0.0062409607    0.0107733800    10437.2829416936    0.1008664223       72.7913408658     0.0007   2026-09-08 10:31:23
    48     51    0.0037635316    0.0047137660    10437.2791089464    0.0038327472        7.9987311901     0.0009   2026-09-08 10:31:23
    49     52    0.0005496228    0.0006911026    10437.2790468456    0.0000621008        6.9800671985     0.0010   2026-09-08 10:31:23
    50     53    0.0000437824    0.0000603072    10437.2790419856    0.0000048600        6.9754387311     0.0008   2026-09-08 10:31:23
    51     54    0.0001404670    0.0001918364    10437.2790171588    0.0000248268        6.9642630630     0.0008   2026-09-08 10:31:23
    52     55    0.0001804288    0.0002503427    10437.2789633590    0.0000537998       12.7906192978     0.0007   2026-09-08 10:31:23
    53     56    0.0003160644    0.0004413680    10437.2788102423    0.0001531167       25.5603593338     0.0008   2026-09-08 10:31:23
    54     57    0.0004813465    0.0006864122    10437.2784217528    0.0003884894       45.3549851849     0.0007   2026-09-08 10:31:23
    55     58    0.0007539941    0.0011137445    10437.2773970390    0.0010247138       77.6928958194     0.0007   2026-09-08 10:31:23
    56     59    0.0011126128    0.0017697458    10437.2747561030    0.0026409360      128.7433058694     0.0008   2026-09-08 10:31:23
    57     60    0.0018374517    0.0028342612    10437.2680318317    0.0067242713      207.5794671228     0.0007   2026-09-08 10:31:23
    58     61    0.0034238993    0.0045982874    10437.2517335622    0.0162982695      319.0665520403     0.0007   2026-09-08 10:31:23
    59     62    0.0059514891    0.0076940229    10437.2165418237    0.0351917385      442.6091751508     0.0008   2026-09-08 10:31:23
    60     63    0.0081023065    0.0123331552    10437.1584272606    0.0581145631      487.7913185262     0.0008   2026-09-08 10:31:23
    61     64    0.0087909089    0.0148049782    10437.1018732580    0.0565540026      340.2235956024     0.0008   2026-09-08 10:31:23
    62     65    0.0076578096    0.0099346809    10437.0781099808    0.0237632772      111.1084747063     0.0008   2026-09-08 10:31:23
    63     66    0.0021340610    0.0035785448    10437.0747338158    0.0033761650       10.4033920206     0.0008   2026-09-08 10:31:23
    64     67    0.0006685126    0.0008786675    10437.0745905029    0.0001433129        4.1346663654     0.0007   2026-09-08 10:31:23
    65     68    0.0000601099    0.0001192879    10437.0745875981    0.0000029048        4.1369035281     0.0007   2026-09-08 10:31:23
    66     69    0.0000242689    0.0000427579    10437.0745859915    0.0000016066        4.1377700558     0.0007   2026-09-08 10:31:23
    67     70    0.0000777223    0.0001358169    10437.0745779666    0.0000080249        4.1405216375     0.0007   2026-09-08 10:31:23
    68     71    0.0001017481    0.0001769334    10437.0745607254    0.0000172413        4.1440852945     0.0007   2026-09-08 10:31:23
    69     72    0.0001785510    0.0003085246    10437.0745117991    0.0000489263        5.7574947644     0.0007   2026-09-08 10:31:23
    70     73    0.0002778374    0.0004755677    10437.0743875563    0.0001242428       10.1473780735     0.0007   2026-09-08 10:31:23
    71     74    0.0004493115    0.0007597840    10437.0740589433    0.0003286130       17.3220076547     0.0007   2026-09-08 10:31:23
    72     75    0.0007303127    0.0011828404    10437.0732055008    0.0008534425       28.8105098695     0.0007   2026-09-08 10:31:23
    73     76    0.0012413526    0.0018553698    10437.0709886788    0.0022168220       47.1422267310     0.0008   2026-09-08 10:31:23
    74     77    0.0021231360    0.0030428479    10437.0653323713    0.0056563075       75.5611911506     0.0007   2026-09-08 10:31:23
    75     78    0.0035869170    0.0057289113    10437.0514542859    0.0138780854      116.6204169955     0.0007   2026-09-08 10:31:23
    76     79    0.0098819317    0.0122189874    10437.0206639368    0.0307903492      165.0116557243     0.0007   2026-09-08 10:31:23
    77     80    0.0215949527    0.0238532127    10436.9665982497    0.0540656871      191.2866794975     0.0015   2026-09-08 10:31:23
    78     81    0.0292357656    0.0316452543    10436.9075024078    0.0590958419      147.3985871365     0.0009   2026-09-08 10:31:23
    79     82    0.0173821519    0.0202431503    10436.8780056761    0.0294967317       56.1157166748     0.0008   2026-09-08 10:31:23
    80     83    0.0032024048    0.0050499406    10436.8729304476    0.0050752285        6.7739911204     0.0009   2026-09-08 10:31:23
    81     84    0.0016761083    0.0020352797    10436.8726658532    0.0002645944        3.8497197839     0.0008   2026-09-08 10:31:23
    82     85    0.0003629497    0.0003929403    10436.8726592564    0.0000065967        3.8269530981     0.0007   2026-09-08 10:31:23
    83     86    0.0001186285    0.0001283926    10436.8726560532    0.0000032033        3.8203009573     0.0007   2026-09-08 10:31:23
    84     87    0.0003858144    0.0004182455    10436.8726396348    0.0000164184        3.7985428280     0.0008   2026-09-08 10:31:23
    85     88    0.0004954745    0.0005386123    10436.8726046073    0.0000350275        3.7700616149     0.0008   2026-09-08 10:31:23
    86     89    0.0008569696    0.0009358405    10436.8725049092    0.0000996981        3.7191576445     0.0007   2026-09-08 10:31:23
    87     90    0.0012921491    0.0014226458    10436.8722520591    0.0002528501        5.0088453955     0.0009   2026-09-08 10:31:23
    88     91    0.0019843916    0.0022184029    10436.8715833245    0.0006687345        8.5879614347     0.0009   2026-09-08 10:31:23
    89     92    0.0028385868    0.0032761707    10436.8698491844    0.0017341402       14.3055362320     0.0007   2026-09-08 10:31:23
    90     93    0.0036356432    0.0045503129    10436.8653610908    0.0044880935       23.3710980961     0.0011   2026-09-08 10:31:23
    91     94    0.0032809962    0.0056225431    10436.8540236886    0.0113374022       37.1802649862     0.0008   2026-09-08 10:31:23
    92     95    0.0044673064    0.0075306089    10436.8269316649    0.0270920237       56.1839905224     0.0008   2026-09-08 10:31:23
    93     96    0.0167761544    0.0198961735    10436.7706258573    0.0563058077       75.5169834935     0.0016   2026-09-08 10:31:23
    94     97    0.0455584629    0.0469537567    10436.6842114264    0.0864144309       78.7725010156     0.0009   2026-09-08 10:31:23
    95     98    0.0629967101    0.0635121894    10436.6071229473    0.0770884791       50.7463998031     0.0009   2026-09-08 10:31:23
    96     99    0.0375782599    0.0384813948    10436.5780114230    0.0291115243       13.8949357475     0.0008   2026-09-08 10:31:23
    97    100    0.0044788656    0.0061544390    10436.5748775749    0.0031338481        1.8441425211     0.0008   2026-09-08 10:31:23
    98    101    0.0016671308    0.0018442388    10436.5747594515    0.0001181234        1.8310152077     0.0007   2026-09-08 10:31:23
    99    102    0.0004613164    0.0004662278    10436.5747569557    0.0000024958        1.8269731545     0.0011   2026-09-08 10:31:23
   100    103    0.0000596114    0.0000600118    10436.5747566147    0.0000003410        1.8263571860     0.0008   2026-09-08 10:31:23
   101    104    0.0002963230    0.0002983684    10436.5747540024    0.0000026123        1.8232042649     0.0007   2026-09-08 10:31:23
   102    105    0.0003509010    0.0003533798    10436.5747488865    0.0000051159        1.8190740559     0.0008   2026-09-08 10:31:23
   103    106    0.0006420965    0.0006468107    10436.5747337658    0.0000151208        1.8105482623     0.0008   2026-09-08 10:31:23
   104    107    0.0009788946    0.0009866292    10436.5746960091    0.0000377567        2.1202874401     0.0010   2026-09-08 10:31:23
   105    108    0.0015745649    0.0015888872    10436.5745961199    0.0000998893        3.6132958540     0.0010   2026-09-08 10:31:23
   106    109    0.0024001819    0.0024288493    10436.5743410344    0.0002550855        5.9431123661     0.0008   2026-09-08 10:31:23
   107    110    0.0034471387    0.0035155800    10436.5737027420    0.0006382924        9.4299068746     0.0008   2026-09-08 10:31:23
   108    111    0.0040842351    0.0042896605    10436.5722258833    0.0014768587       13.9381062576     0.0008   2026-09-08 10:31:23
   109    112    0.0023601686    0.0033043444    10436.5693691991    0.0028566841       17.6007143549     0.0008   2026-09-08 10:31:23
   110    113    0.0040811064    0.0050787747    10436.5656395219    0.0037296773       15.8510664174     0.0007   2026-09-08 10:31:23
   111    114    0.0101418639    0.0103537145    10436.5632297263    0.0024097956        7.7435073750     0.0007   2026-09-08 10:31:23
   112    115    0.0068401570    0.0068844280    10436.5626425351    0.0005871912        1.4669898716     0.0007   2026-09-08 10:31:23
   113    116    0.0013953611    0.0014479497    10436.5625968583    0.0000456767        0.4339439867     0.0008   2026-09-08 10:31:23
   114    117    0.0000496137    0.0000750262    10436.5625958835    0.0000009748        0.4294465224     0.0008   2026-09-08 10:31:23
   115    118    0.0000188503    0.0000196159    10436.5625958598    0.0000000237        0.4289385434     0.0007   2026-09-08 10:31:23
   116    119    0.0000254253    0.0000263095    10436.5625958117    0.0000000481        0.4282896724     0.0008   2026-09-08 10:31:23
   117    120    0.0000432502    0.0000447510    10436.5625956800    0.0000001317        0.4271842860     0.0007   2026-09-08 10:31:23
   118    121    0.0000685925    0.0000709963    10436.5625953411    0.0000003389        0.4254229037     0.0007   2026-09-08 10:31:23
   119    122    0.0001114326    0.0001154104    10436.5625944481    0.0000008930        0.4225365563     0.0007   2026-09-08 10:31:23
   120    123    0.0001788468    0.0001854551    10436.5625921178    0.0000023303        0.4178404868     0.0008   2026-09-08 10:31:23
   121    124    0.0002867960    0.0002981251    10436.5625860222    0.0000060955        0.5999593435     0.0008   2026-09-08 10:31:23
   122    125    0.0004549049    0.0004754222    10436.5625701468    0.0000158754        0.9882959497     0.0008   2026-09-08 10:31:23
   123    126    0.0007069715    0.0007483056    10436.5625291019    0.0000410450        1.6036630854     0.0007   2026-09-08 10:31:23
   124    127    0.0010453917    0.0011438253    10436.5624251376    0.0001039643        2.5450953363     0.0008   2026-09-08 10:31:23
   125    128    0.0013605205    0.0016460957    10436.5621751153    0.0002500223        3.8550339755     0.0007   2026-09-08 10:31:23
   126    129    0.0011907656    0.0021536932    10436.5616461173    0.0005289981        5.2323371737     0.0007   2026-09-08 10:31:23
   127    130    0.0019856949    0.0028643209    10436.5608089867    0.0008371306        5.5425084514     0.0007   2026-09-08 10:31:23
   128    131    0.0030715575    0.0040800399    10436.5600543556    0.0007546311        3.6070266945     0.0008   2026-09-08 10:31:23
   129    132    0.0032760832    0.0034366408    10436.5597703904    0.0002839652        1.0568260079     0.0008   2026-09-08 10:31:23
   130    133    0.0010979251    0.0011967387    10436.5597349018    0.0000354886        0.4299432511     0.0009   2026-09-08 10:31:23
   131    134    0.0001073832    0.0001768886    10436.5597335929    0.0000013088        0.4206664677     0.0009   2026-09-08 10:31:23
   132    135    0.0000135444    0.0000222539    10436.5597335663    0.0000000267        0.4194515431     0.0010   2026-09-08 10:31:23
   133    136    0.0000083835    0.0000121744    10436.5597335441    0.0000000221        0.4188260807     0.0010   2026-09-08 10:31:23
   134    137    0.0000220347    0.0000317819    10436.5597334528    0.0000000914        0.4171783419     0.0008   2026-09-08 10:31:23
   135    138    0.0000303689    0.0000436953    10436.5597332467    0.0000002061        0.4148635534     0.0007   2026-09-08 10:31:23
   136    139    0.0000520517    0.0000746484    10436.5597326742    0.0000005725        0.4107716646     0.0007   2026-09-08 10:31:23
   137    140    0.0000814184    0.0001161668    10436.5597312107    0.0000014635        0.4040490170     0.0007   2026-09-08 10:31:23
   138    141    0.0001304263    0.0001846511    10436.5597273610    0.0000038496        0.3924247674     0.0008   2026-09-08 10:31:23
   139    142    0.0002024152    0.0002834214    10436.5597174170    0.0000099440        0.3721240302     0.0009   2026-09-08 10:31:23
   140    143    0.0003021921    0.0004179155    10436.5596920303    0.0000253867        0.5571694068     0.0010   2026-09-08 10:31:23
   141    144    0.0004038137    0.0005617001    10436.5596299814    0.0000620489        0.8596384497     0.0010   2026-09-08 10:31:23
   142    145    0.0004154409    0.0006656075    10436.5594932424    0.0001367390        1.2109146440     0.0010   2026-09-08 10:31:23
   143    146    0.0007661651    0.0010248852    10436.5592568221    0.0002364203        1.3870636444     0.0008   2026-09-08 10:31:23
   144    147    0.0013671966    0.0019471486    10436.5590064927    0.0002503295        1.0426012328     0.0008   2026-09-08 10:31:23
   145    148    0.0011769419    0.0019065956    10436.5588878535    0.0001186391        0.3814717212     0.0007   2026-09-08 10:31:23
   146    149    0.0005035986    0.0007052762    10436.5588683706    0.0000194830        0.0427237350     0.0007   2026-09-08 10:31:23

<a href = "matlab: helpview('optim','local_min_unconstrained','CSHelpWindow');">Local minimum found</a>.

Optimization completed because the <a href = "matlab: helpview('optim','grad_size','CSHelpWindow');">size of the gradient</a> is less than
the value of the <a href = "matlab: helpview('optim','optimality_tolerance_unc','CSHelpWindow');">optimality tolerance</a>.

<<a href = "matlab: createExitMsg({'optim:fminusub:Exit1basic'},{'optim:fminusub:Exit1detailed','2.672119e-07','1.000000e-06'},true,true);;">stopping criteria details</a>>

__________________________________________________________________________________________________________________

<strong>Negative Binomial </strong><strong>
</strong>                                                                       
var.                                      coef.      st.err.  p-value   
Constant                                -0.1660       0.1077   0.1232   
Consumer surplus per trip                0.0026***    0.0008   0.0012   
Household income (10k PLN)               0.6540***    0.1015   0.0000   
Male                                     0.1323***    0.0510   0.0094   
Higher education                         0.2201***    0.0584   0.0002   
City                                    -0.0428       0.0522   0.4118   
Winter                                   0.8617***    0.0730   0.0000   
Hiking                                   0.5248***    0.0557   0.0000   
Skiing                                   0.8505***    0.2493   0.0006   
 
                                                                       
                                      Overdispersion parameters        
var.                                      coef.      st.err.            
ln alpha                                 1.1392       0.0269            
 
                                                                       
                                      Consumer Surplus                 
var.                                      coef.      st.err.  p-value   
-1/(Consumer surplus per trip)        -383.1450***  118.4351   0.0012   
 
<strong>Model diagnostics: 
</strong>LL at convergence:             -10436.5589
LL at constant(s) only:        -10645.7640
McFadden's pseudo-R²:               0.0197
AIC/n:                              3.5684
BIC/n:                              3.5798
n (observations):                5855
r (respondents):                 5855
k (parameters):                    10
 
Estimation method      maximum likelihood
Optimization method    quasi-newton
Gradient               user-supplied, analytical
Hessian                off, retained from optimization
                       
Descriptive statistics 
var                                   Y Consumer surplus per trip
mean                             2.3286         70.4272
median                           0.0000         71.9008
std                              9.9300         40.9943
min                              0.0000       -149.4769
max                            324.0000        171.7335
quantile 0.025                   0.0000        -15.2766
quantile 0.975                  13.0000        142.4975
 
 
Estimation completed on Tuesday, 2026-09-08 at 10:31:23
Estimation took 0.22404 seconds (0 hours 0 minutes 0.22404 seconds).

====================================================
all_TC_MNL  (4 of 6)
====================================================
 
__________________________________________________________________________________________________________________
 
Estimating <strong>choice-task weighted </strong>MNL model ...
in preference-space ...
total weight:                    2826.0000
choice tasks:                        64998
Using linear regression estimates as starting values
 Iter.  Eval.         max|dB|            Step                f(x)         df prev          Opt. Cond.   Iter sec             Date/time
     0      1             NaN             NaN     8871.1601567959             NaN     2546.7752519441     0.0000   2026-09-08 10:32:21
     1      2    1.0000000000    1.0152995423     7494.7349924445 1376.4251643513      322.7684894622     0.0607   2026-09-08 10:32:21
     2      3    0.1537349350    0.2309982482     7399.6893726547   95.0456197898      306.6088611301     0.0612   2026-09-08 10:32:21
     3      4    0.8823663464    1.2164164890     7078.9913845068  320.6979881479      427.7882128854     0.0603   2026-09-08 10:32:21
     4      5    0.6505469755    0.8901942034     6948.1574051986  130.8339793082      412.6142905025     0.0600   2026-09-08 10:32:21
     5      6    0.2222734365    0.3822195833     6888.1807484154   59.9766567831      216.1500835284     0.0618   2026-09-08 10:32:21
     6      7    0.1667618469    0.2429355247     6850.2686192141   37.9121292013      119.7237047140     0.0611   2026-09-08 10:32:21
     7      8    0.0816678374    0.1317403630     6835.9805651071   14.2880541071      116.4542077255     0.0601   2026-09-08 10:32:21
     8      9    0.2087907046    0.3546194966     6807.9686905583   28.0118745488      164.1063446928     0.0608   2026-09-08 10:32:21
     9     10    0.2136619547    0.3580375047     6790.0521277253   17.9165628330      105.2863807496     0.0613   2026-09-08 10:32:21
    10     11    0.0958605337    0.1929781179     6783.8559703452    6.1961573801       22.4879450257     0.0604   2026-09-08 10:32:21
    11     12    0.0403473421    0.0801400656     6782.1801203639    1.6758499813       20.6655113876     0.0593   2026-09-08 10:32:21
    12     13    0.0377708735    0.0780931639     6780.6471163829    1.5330039809       30.9689689841     0.0609   2026-09-08 10:32:21
    13     14    0.0557942378    0.1360560677     6778.0794138218    2.5677025611       43.6883830273     0.0602   2026-09-08 10:32:21
    14     15    0.0704382652    0.1722141953     6775.2806976961    2.7987161257       38.5224397998     0.0592   2026-09-08 10:32:21
    15     16    0.0419881047    0.1162510006     6773.7884190584    1.4922786377       16.8472144657     0.0597   2026-09-08 10:32:22
    16     17    0.0274086718    0.0378887958     6773.4253686431    0.3630504153        6.0890292555     0.0594   2026-09-08 10:32:22
    17     18    0.0141022971    0.0207643226     6773.2908509132    0.1345177299        5.9425247077     0.0614   2026-09-08 10:32:22
    18     19    0.0165615586    0.0295947879     6773.0752772820    0.2155736311        9.3016228440     0.0601   2026-09-08 10:32:22
    19     20    0.0212654253    0.0559656365     6772.6812414178    0.3940358642       13.6508528307     0.0611   2026-09-08 10:32:22
    20     21    0.0431893466    0.0884663957     6772.1866588618    0.4945825561       13.0182013193     0.0606   2026-09-08 10:32:22
    21     22    0.0469638261    0.0868411261     6771.8299348336    0.3567240282        7.9770671357     0.0598   2026-09-08 10:32:22
    22     23    0.0269648712    0.0496951503     6771.6642904429    0.1656443907        7.8162740513     0.0594   2026-09-08 10:32:22
    23     24    0.0165704407    0.0311981983     6771.5429094074    0.1213810355        6.7626215141     0.0598   2026-09-08 10:32:22
    24     25    0.0281074922    0.0522063512     6771.3111624801    0.2317469273        8.5274881882     0.0603   2026-09-08 10:32:22
    25     26    0.0506524100    0.0972700777     6770.8933054746    0.4178570055       12.5489509514     0.0608   2026-09-08 10:32:22
    26     27    0.0705855715    0.1469413507     6770.3418977505    0.5514077241       12.3072644893     0.0612   2026-09-08 10:32:22
    27     28    0.0532322075    0.1290598144     6769.9294588186    0.4124389318        6.7673335077     0.0607   2026-09-08 10:32:22
    28     29    0.0278199215    0.0626279676     6769.7175280845    0.2119307341        6.5153519894     0.0605   2026-09-08 10:32:22
    29     30    0.0200551647    0.0402064832     6769.5357697342    0.1817583503        5.7412652935     0.0620   2026-09-08 10:32:22
    30     31    0.0277494616    0.0680511572     6769.2066451603    0.3291245739       10.5416381699     0.0607   2026-09-08 10:32:22
    31     32    0.0485170125    0.1454215286     6768.6013398192    0.6053053412       15.1583701473     0.0592   2026-09-08 10:32:23
    32     33    0.0897312336    0.2467421486     6767.7804518590    0.8208879602       14.7680992012     0.0606   2026-09-08 10:32:23
    33     34    0.0982335252    0.2424902199     6767.1357751061    0.6446767529        7.5656690285     0.0581   2026-09-08 10:32:23
    34     35    0.0528306418    0.1217812413     6766.8277748502    0.3080002559        5.9176948357     0.0593   2026-09-08 10:32:23
    35     36    0.0228983761    0.0569861287     6766.6288282945    0.1989465557        5.2283640791     0.0597   2026-09-08 10:32:23
    36     37    0.0280282226    0.0867829575     6766.2807673653    0.3480609292       10.1811669063     0.0600   2026-09-08 10:32:23
    37     38    0.0556184398    0.1731360809     6765.6432035368    0.6375638285       14.6927023758     0.0603   2026-09-08 10:32:23
    38     39    0.0847772469    0.2693711587     6764.8071242879    0.8360792489       14.3071265898     0.0594   2026-09-08 10:32:23
    39     40    0.0680105300    0.2260176124     6764.2177889382    0.5893353497        7.2550052470     0.0587   2026-09-08 10:32:23
    40     41    0.0324635365    0.0778707117     6763.9953166304    0.2224723079        6.1662317653     0.0591   2026-09-08 10:32:23
    41     42    0.0104696703    0.0236219116     6763.8924013821    0.1029152483        5.5580433882     0.0598   2026-09-08 10:32:23
    42     43    0.0108538739    0.0270731179     6763.7496545483    0.1427468338        5.3281554072     0.0600   2026-09-08 10:32:23
    43     44    0.0216132702    0.0540092290     6763.5333535736    0.2163009747        6.5218919839     0.0604   2026-09-08 10:32:23
    44     45    0.0288704541    0.0824791431     6763.3378076517    0.1955459218        4.6581945371     0.0614   2026-09-08 10:32:23
    45     46    0.0231070818    0.0623655929     6763.2499984457    0.0878092060        3.5006675451     0.0601   2026-09-08 10:32:23
    46     47    0.0090943250    0.0238206082     6763.2211044955    0.0288939502        2.8705687296     0.0609   2026-09-08 10:32:23
    47     48    0.0063588840    0.0154714583     6763.1947760091    0.0263284864        2.4279460686     0.0666   2026-09-08 10:32:24
    48     49    0.0108948104    0.0250028291     6763.1441651502    0.0506108589        2.7204111926     0.0768   2026-09-08 10:32:24
    49     50    0.0140691000    0.0333961171     6763.0788613319    0.0653038183        2.9595118798     0.0615   2026-09-08 10:32:24
    50     51    0.0177254213    0.0302708221     6763.0299658286    0.0488955033        2.0966160918     0.0606   2026-09-08 10:32:24
    51     52    0.0096265359    0.0148682362     6763.0113305516    0.0186352771        1.8096618281     0.0598   2026-09-08 10:32:24
    52     53    0.0038524788    0.0070576485     6763.0027948252    0.0085357264        1.3527346681     0.0599   2026-09-08 10:32:24
    53     54    0.0048722862    0.0080841023     6762.9907348510    0.0120599742        1.2987007291     0.0596   2026-09-08 10:32:24
    54     55    0.0087522436    0.0137738141     6762.9706988817    0.0200359693        1.6239356790     0.0611   2026-09-08 10:32:24
    55     56    0.0106657864    0.0199554342     6762.9494770903    0.0212217914        1.3904464093     0.0608   2026-09-08 10:32:24
    56     57    0.0074305414    0.0168470038     6762.9380395344    0.0114375559        1.0162385316     0.0599   2026-09-08 10:32:24
    57     58    0.0030354590    0.0073323734     6762.9344098678    0.0036296667        0.7696954316     0.0604   2026-09-08 10:32:24
    58     59    0.0018313525    0.0036458401     6762.9321289987    0.0022808691        0.7714123093     0.0604   2026-09-08 10:32:24
    59     60    0.0024644358    0.0053534566     6762.9280490553    0.0040799435        0.6369871572     0.0591   2026-09-08 10:32:24
    60     61    0.0037229577    0.0075331468     6762.9228271740    0.0052218812        0.6825928782     0.0612   2026-09-08 10:32:24
    61     62    0.0047042957    0.0078055363     6762.9190079921    0.0038191819        0.4497855538     0.0615   2026-09-08 10:32:24
    62     63    0.0023799840    0.0041665788     6762.9177667230    0.0012412691        0.3626364039     0.0649   2026-09-08 10:32:24
    63     64    0.0008084338    0.0015122991     6762.9174101257    0.0003565973        0.3340154322     0.0642   2026-09-08 10:32:25
    64     65    0.0006565385    0.0012981478     6762.9170230190    0.0003871067        0.2803728935     0.0609   2026-09-08 10:32:25
    65     66    0.0009180450    0.0021465770     6762.9163407942    0.0006822248        0.2399405641     0.0597   2026-09-08 10:32:25
    66     67    0.0012967218    0.0028051063     6762.9156418739    0.0006989203        0.2282314161     0.0599   2026-09-08 10:32:25
    67     68    0.0009792588    0.0022941083     6762.9152892098    0.0003526641        0.1222645752     0.0587   2026-09-08 10:32:25
    68     69    0.0004994860    0.0009252441     6762.9152107484    0.0000784614        0.0879409119     0.0605   2026-09-08 10:32:25
    69     70    0.0001944646    0.0003309450     6762.9151844064    0.0000263420        0.0800481652     0.0624   2026-09-08 10:32:25
    70     71    0.0002215717    0.0004724715     6762.9151377242    0.0000466822        0.0678472433     0.0620   2026-09-08 10:32:25
    71     72    0.0003771785    0.0007923637     6762.9150606086    0.0000771156        0.0859963066     0.0626   2026-09-08 10:32:25
    72     73    0.0005552459    0.0010907389     6762.9149780059    0.0000826027        0.0882091931     0.0617   2026-09-08 10:32:25
    73     74    0.0004665900    0.0008225906     6762.9149366797    0.0000413261        0.0498728473     0.0610   2026-09-08 10:32:25
    74     75    0.0001636136    0.0003124922     6762.9149266086    0.0000100711        0.0338064925     0.0617   2026-09-08 10:32:25
    75     76    0.0000746208    0.0001229768     6762.9149226100    0.0000039986        0.0299368050     0.0616   2026-09-08 10:32:25
    76     77    0.0000931321    0.0001820263     6762.9149155466    0.0000070634        0.0240676577     0.0617   2026-09-08 10:32:25
    77     78    0.0000998451    0.0002812736     6762.9149055058    0.0000100408        0.0259620037     0.0618   2026-09-08 10:32:25
    78     79    0.0001526902    0.0003386083     6762.9148970117    0.0000084941        0.0251679402     0.0611   2026-09-08 10:32:25
    79     80    0.0000996285    0.0002067122     6762.9148940180    0.0000029937        0.0134325283     0.0602   2026-09-08 10:32:26
    80     81    0.0000378603    0.0000655949     6762.9148934901    0.0000005279        0.0090557285     0.0608   2026-09-08 10:32:26
    81     82    0.0000180971    0.0000274852     6762.9148932533    0.0000002368        0.0087696752     0.0592   2026-09-08 10:32:26
    82     83    0.0000290769    0.0000510341     6762.9148927467    0.0000005066        0.0071321574     0.0612   2026-09-08 10:32:26
    83     84    0.0000353370    0.0000733580     6762.9148920980    0.0000006487        0.0069554251     0.0594   2026-09-08 10:32:26
    84     85    0.0000445852    0.0000842179     6762.9148915639    0.0000005341        0.0077267741     0.0609   2026-09-08 10:32:26
    85     86    0.0000249224    0.0000510325     6762.9148913451    0.0000002188        0.0062974608     0.0621   2026-09-08 10:32:26
    86     87    0.0000126953    0.0000247763     6762.9148912432    0.0000001018        0.0063615388     0.0624   2026-09-08 10:32:26
    87     88    0.0000142831    0.0000277340     6762.9148911067    0.0000001365        0.0055117292     0.0613   2026-09-08 10:32:26
    88     89    0.0000241252    0.0000459521     6762.9148908839    0.0000002228        0.0048995865     0.0590   2026-09-08 10:32:26
    89     90    0.0000307289    0.0000575284     6762.9148906607    0.0000002232        0.0034870153     0.0619   2026-09-08 10:32:26
    90     91    0.0000183985    0.0000394635     6762.9148905559    0.0000001048        0.0023053204     0.0608   2026-09-08 10:32:26

<a href = "matlab: helpview('optim','local_min_unconstrained','CSHelpWindow');">Local minimum found</a>.

Optimization completed because the <a href = "matlab: helpview('optim','grad_size','CSHelpWindow');">size of the gradient</a> is less than
the value of the <a href = "matlab: helpview('optim','optimality_tolerance_unc','CSHelpWindow');">optimality tolerance</a>.

<<a href = "matlab: createExitMsg({'optim:fminusub:Exit1basic'},{'optim:fminusub:Exit1detailed','9.048366e-07','1.000000e-06'},true,true);;">stopping criteria details</a>>

__________________________________________________________________________________________________________________

<strong>MNL </strong><strong>in preference-space, weighted by choice task
</strong>                                                     
var.                    coef.    st.err.  p-value   
Tatrzanski             1.3340***  0.1277   0.0000   
Babiogorski           -1.2654***  0.1929   0.0000   
Bialowieski           -0.2928*    0.1545   0.0580   
Biebrzanski           -0.9097***  0.1675   0.0000   
Bieszczadzki           1.0892***  0.1403   0.0000   
BoryTucholskie         0.0079     0.1309   0.9522   
Drawienski            -1.6710***  0.2010   0.0000   
Gorczanski            -1.7376***  0.2437   0.0000   
GorStolowych          -0.0737     0.1428   0.6058   
Kampinoski            -0.7228***  0.1417   0.0000   
Karkonoski             0.3686***  0.1329   0.0055   
Magurski              -1.1237***  0.1978   0.0000   
Narwianski            -1.4331***  0.1922   0.0000   
Ojcowski              -0.1358     0.1367   0.3205   
Pieninski             -0.0516     0.1492   0.7294   
Poleski               -1.6603***  0.2097   0.0000   
Roztoczanski          -0.6086***  0.1590   0.0001   
Slowinski             -0.2699*    0.1493   0.0706   
Swietokrzyski         -0.1939     0.1361   0.1544   
UjscieWarty           -1.0491***  0.1754   0.0000   
Wielkopolski          -0.6687***  0.1397   0.0000   
Wigierski             -0.9203***  0.1835   0.0000   
-TC/100                1.2464***  0.0272   0.0000   
 
<strong>Model diagnostics: 
</strong>LL at convergence:             -6762.9149
LL at constant(s) only:        -8153.6184
McFadden's pseudo-R²:              0.1706
Ben-Akiva-Lerman's pseudo-R²:      0.0188
AIC/n:                             0.2088
BIC/n:                             0.2120
n (observations):              64998
r (respondents):                2826
k (parameters):                   23
 
Estimation method      weighted maximum likelihood (choice-task weights)
Optimization method    quasi-newton
Gradient               user-supplied, analytical
Hessian                retained from optimization
 
 
Estimation completed on Tuesday, 2026-09-08 at 10:32:32
Estimation took 3.4524 seconds (0 hours 0 minutes 3.4524 seconds).
 
__________________________________________________________________________________________________________________
 
Estimating Negative Binomial (NB2) regression model ...
without truncation
without censoring.
Using linear regression estimates as starting values
Initial values: [-0.35 0.0017 0.3 0.091 0.16 0.0025 0.4 0.64 0.5 0]

Opmization algorithm: <strong>quasi-newton
</strong>Gradient: <strong>user-supplied, analytical 
</strong>Hessian: <strong>off, </strong><strong>retained from optimization 
</strong>
 Iter.  Eval.         max|dB|            Step                f(x)         df prev          Opt. Cond.   Iter sec             Date/time
     0      1             NaN             NaN    12025.3571515558             NaN   137566.6951384343     0.0000   2026-09-08 10:32:32
     1      4    0.0114596632    0.0114644289    11646.9198759576  378.4372755982    58748.4841642761     0.0029   2026-09-08 10:32:32
     2      5    0.0034276498    0.0034285559    11529.6025644124  117.3173115452     8383.0950189154     0.0011   2026-09-08 10:32:32
     3      6    0.0005725896    0.0005842619    11527.1936003127    2.4089640997     1739.5433545839     0.0012   2026-09-08 10:32:32
     4      8    0.0010150219    0.0011178731    11525.4102837756    1.7833165372     3015.8828429481     0.0022   2026-09-08 10:32:32
     5      9    0.0042116380    0.0045490037    11518.9924992993    6.4177844762     8606.2694844396     0.0007   2026-09-08 10:32:32
     6     10    0.0209722132    0.0226030902    11492.0872934441   26.9052058552    22777.1272390047     0.0013   2026-09-08 10:32:32
     7     11    0.0513222244    0.0552795651    11433.4553789338   58.6319145103    39905.5638420508     0.0011   2026-09-08 10:32:32
     8     12    0.1381749558    0.1488006774    11289.6701305403  143.7852483935    59706.4722803913     0.0010   2026-09-08 10:32:32
     9     13    0.2902001147    0.3124918371    11030.7012015797  258.9689289606    67742.3082173584     0.0012   2026-09-08 10:32:32
    10     14    0.3882555406    0.4180620560    10781.6011578947  249.1000436850    57082.2835506768     0.0007   2026-09-08 10:32:32
    11     15    0.2145452793    0.2310100998    10666.6044813955  114.9966764992    45014.8282817941     0.0009   2026-09-08 10:32:32
    12     16    0.1036540912    0.1116336896    10557.7698636210  108.8346177744    30408.8232299424     0.0011   2026-09-08 10:32:32
    13     17    0.0162032081    0.0183228404    10464.0026603463   93.7672032747      899.7689970139     0.0012   2026-09-08 10:32:32
    14     18    0.0441831518    0.0475781717    10461.0154669650    2.9871933813     1156.6298849825     0.0010   2026-09-08 10:32:32
    15     19    0.0257534747    0.0277334762    10460.4585557099    0.5569112551      106.0216395941     0.0010   2026-09-08 10:32:32
    16     20    0.0006256366    0.0006716882    10460.4559384820    0.0026172279      105.2519118141     0.0011   2026-09-08 10:32:32
    17     21    0.0004240951    0.0004521182    10460.4530253452    0.0029131369      104.7922317690     0.0009   2026-09-08 10:32:32
    18     22    0.0011841542    0.0012523173    10460.4402322676    0.0127930776      255.3998986262     0.0010   2026-09-08 10:32:32
    19     23    0.0016241937    0.0017030844    10460.4118686899    0.0283635777      503.7163009915     0.0011   2026-09-08 10:32:32
    20     24    0.0028507597    0.0029891231    10460.3328809338    0.0789877561      931.4305998376     0.0010   2026-09-08 10:32:32
    21     25    0.0045412011    0.0049155944    10460.1335133961    0.1993675377     1592.1678694257     0.0010   2026-09-08 10:32:32
    22     26    0.0074081434    0.0089606242    10459.6222047002    0.5113086960     2617.3861068382     0.0012   2026-09-08 10:32:32
    23     27    0.0113471982    0.0175651646    10458.3877181888    1.2344865114     4058.0240137736     0.0011   2026-09-08 10:32:32
    24     28    0.0216364217    0.0353089808    10455.7264942728    2.6612239160     5658.9951177182     0.0030   2026-09-08 10:32:32
    25     29    0.0396878673    0.0600433521    10451.3720647924    4.3544294805     6315.5240988018     0.0010   2026-09-08 10:32:32
    26     30    0.0433628161    0.0646978530    10447.1194146984    4.2526500940     4618.9611188805     0.0008   2026-09-08 10:32:32
    27     31    0.0184782008    0.0313923386    10445.1623881935    1.9570265049     1616.3510263285     0.0008   2026-09-08 10:32:32
    28     32    0.0094435243    0.0104386274    10444.8572231897    0.3051650038      123.5905986676     0.0007   2026-09-08 10:32:32
    29     33    0.0026282282    0.0044444262    10444.8445775757    0.0126456140       44.8325599464     0.0008   2026-09-08 10:32:32
    30     34    0.0004909391    0.0007529234    10444.8440868084    0.0004907672       44.8544208811     0.0008   2026-09-08 10:32:32
    31     35    0.0002350867    0.0003575225    10444.8437073516    0.0003794569       44.8711012295     0.0007   2026-09-08 10:32:32
    32     36    0.0006101880    0.0009297633    10444.8421338467    0.0015735048       44.9125367041     0.0009   2026-09-08 10:32:32
    33     37    0.0008268165    0.0012667699    10444.8385913110    0.0035425358       69.7533451971     0.0008   2026-09-08 10:32:32
    34     38    0.0013862156    0.0021491625    10444.8287445595    0.0098467514      135.3018020806     0.0008   2026-09-08 10:32:32
    35     39    0.0020817649    0.0033209472    10444.8036041304    0.0251404292      238.5412013503     0.0007   2026-09-08 10:32:32
    36     40    0.0031000821    0.0053215806    10444.7376581107    0.0659460197      405.5255165236     0.0008   2026-09-08 10:32:32
    37     41    0.0045370195    0.0087187542    10444.5687819934    0.1688761172      667.1207383417     0.0010   2026-09-08 10:32:32
    38     42    0.0089370113    0.0159000012    10444.1476931516    0.4210888418     1057.6034100807     0.0009   2026-09-08 10:32:32
    39     43    0.0231292984    0.0326365913    10443.1795351435    0.9681580081     1557.3822084816     0.0008   2026-09-08 10:32:32
    40     44    0.0506834668    0.0650360103    10441.3347539411    1.8447812024     1940.8461678977     0.0008   2026-09-08 10:32:32
    41     45    0.0749037377    0.0960982482    10438.9838825173    2.3508714238     1687.8821314459     0.0008   2026-09-08 10:32:32
    42     46    0.0530609194    0.0744566112    10437.5492244485    1.4346580688      759.2924033009     0.0008   2026-09-08 10:32:32
    43     47    0.0141966783    0.0216022638    10437.2501775037    0.2990469449      125.1672962627     0.0008   2026-09-08 10:32:32
    44     48    0.0051268839    0.0076632999    10437.2295872440    0.0205902596        6.0479415808     0.0008   2026-09-08 10:32:32
    45     49    0.0016114613    0.0020425221    10437.2290570825    0.0005301615        5.9412923221     0.0008   2026-09-08 10:32:32
    46     50    0.0001479358    0.0001950643    10437.2290460095    0.0000110730        5.9332106228     0.0008   2026-09-08 10:32:32
    47     51    0.0001061226    0.0001417441    10437.2290327972    0.0000132123        5.9275179735     0.0008   2026-09-08 10:32:32
    48     52    0.0002254976    0.0003016035    10437.2289878021    0.0000449951        5.9148538856     0.0008   2026-09-08 10:32:32
    49     53    0.0003293463    0.0004410583    10437.2288804012    0.0001074009       10.9866427327     0.0008   2026-09-08 10:32:32
    50     54    0.0005493834    0.0007376862    10437.2285890836    0.0002913176       20.4136158592     0.0008   2026-09-08 10:32:32
    51     55    0.0008633035    0.0011664771    10437.2278386139    0.0007504697       35.3923712097     0.0022   2026-09-08 10:32:32
    52     56    0.0013651425    0.0018732917    10437.2258763089    0.0019623050       59.5158136021     0.0008   2026-09-08 10:32:32
    53     57    0.0020775056    0.0029680192    10437.2208368071    0.0050395018       97.3871858638     0.0008   2026-09-08 10:32:32
    54     58    0.0029468564    0.0046997464    10437.2082149452    0.0126218620      154.2128010884     0.0008   2026-09-08 10:32:32
    55     59    0.0046654101    0.0074964676    10437.1787957384    0.0294192068      228.7083716405     0.0008   2026-09-08 10:32:32
    56     60    0.0075507579    0.0121089314    10437.1210064709    0.0577892675      292.4179975560     0.0007   2026-09-08 10:32:32
    57     61    0.0083813426    0.0176520992    10437.0428411718    0.0781652991      271.2579271442     0.0008   2026-09-08 10:32:32
    58     62    0.0097060398    0.0173927829    10436.9888582265    0.0539829453      139.5700106280     0.0008   2026-09-08 10:32:32
    59     63    0.0067411778    0.0090369998    10436.9746446904    0.0142135362       28.4426447574     0.0008   2026-09-08 10:32:32
    60     64    0.0015519379    0.0026081128    10436.9734679318    0.0011767586        4.0438027758     0.0008   2026-09-08 10:32:32
    61     65    0.0002772190    0.0004828212    10436.9734367801    0.0000311517        4.0478524908     0.0008   2026-09-08 10:32:32
    62     66    0.0000316127    0.0000674623    10436.9734335295    0.0000032506        4.0488857463     0.0008   2026-09-08 10:32:32
    63     67    0.0001038520    0.0002195682    10436.9734171552    0.0000163743        4.0523177295     0.0011   2026-09-08 10:32:32
    64     68    0.0001337684    0.0002784471    10436.9733828005    0.0000343547        4.0566607570     0.0010   2026-09-08 10:32:32
    65     69    0.0002407090    0.0004893051    10436.9732843212    0.0000984793        4.1550790819     0.0010   2026-09-08 10:32:32
    66     70    0.0003816755    0.0007470438    10436.9730352833    0.0002490379        7.4870192159     0.0008   2026-09-08 10:32:32
    67     71    0.0006405056    0.0011831806    10436.9723764602    0.0006588231       12.9314313239     0.0007   2026-09-08 10:32:32
    68     72    0.0010636263    0.0018061169    10436.9706719433    0.0017045169       21.5990450707     0.0008   2026-09-08 10:32:32
    69     73    0.0017890372    0.0027390184    10436.9662811872    0.0043907561       35.2412347794     0.0008   2026-09-08 10:32:32
    70     74    0.0029700774    0.0042970792    10436.9553238075    0.0109573797       55.6025212020     0.0007   2026-09-08 10:32:32
    71     75    0.0046412810    0.0079401497    10436.9298971698    0.0254266377       82.0618841403     0.0008   2026-09-08 10:32:32
    72     76    0.0116584361    0.0164566558    10436.8805196674    0.0493775024      103.9822674897     0.0008   2026-09-08 10:32:32
    73     77    0.0208799114    0.0274104428    10436.8151797247    0.0653399427       94.8685864786     0.0008   2026-09-08 10:32:32
    74     78    0.0186858558    0.0254283819    10436.7716390718    0.0435406529       47.2423854921     0.0008   2026-09-08 10:32:32
    75     79    0.0050218759    0.0095510947    10436.7607238283    0.0109152435        8.7796600187     0.0008   2026-09-08 10:32:32
    76     80    0.0015039072    0.0023819455    10436.7598739880    0.0008498403        3.4800067877     0.0007   2026-09-08 10:32:32
    77     81    0.0004748136    0.0006344941    10436.7598531373    0.0000208507        3.4387090617     0.0014   2026-09-08 10:32:32
    78     82    0.0000708977    0.0000933092    10436.7598507251    0.0000024122        3.4338634435     0.0008   2026-09-08 10:32:32
    79     83    0.0002586675    0.0003419384    10436.7598370498    0.0000136753        3.4161255569     0.0012   2026-09-08 10:32:32
    80     84    0.0003184872    0.0004238654    10436.7598089541    0.0000280956        3.3935296770     0.0008   2026-09-08 10:32:32
    81     85    0.0005586429    0.0007516283    10436.7597276663    0.0000812878        3.3516683164     0.0008   2026-09-08 10:32:32
    82     86    0.0008316413    0.0011408186    10436.7595228374    0.0002048289        3.6211410922     0.0008   2026-09-08 10:32:32
    83     87    0.0012645919    0.0017975917    10436.7589805719    0.0005422655        6.2196365141     0.0007   2026-09-08 10:32:32
    84     88    0.0017600033    0.0026902473    10436.7575803458    0.0014002261       10.3435007250     0.0008   2026-09-08 10:32:32
    85     89    0.0021061737    0.0038465756    10436.7539860723    0.0035942735       16.7924950520     0.0008   2026-09-08 10:32:32
    86     90    0.0027057700    0.0050924393    10436.7451011762    0.0088848961       26.2523652343     0.0007   2026-09-08 10:32:32
    87     91    0.0043724648    0.0073553139    10436.7249583541    0.0201428221       37.9763596238     0.0008   2026-09-08 10:32:32
    88     92    0.0135093454    0.0159084612    10436.6878379815    0.0371203727       46.1170990462     0.0008   2026-09-08 10:32:32
    89     93    0.0276288255    0.0295549522    10436.6431843818    0.0446535997       38.9384222373     0.0008   2026-09-08 10:32:32
    90     94    0.0259477432    0.0287058949    10436.6172364392    0.0259479426       17.0509047425     0.0010   2026-09-08 10:32:32
    91     95    0.0079444716    0.0106208185    10436.6118759552    0.0053604840        2.8257062459     0.0009   2026-09-08 10:32:32
    92     96    0.0009796150    0.0016375853    10436.6115392680    0.0003366871        2.7717988189     0.0008   2026-09-08 10:32:32
    93     97    0.0004370527    0.0004740973    10436.6115305323    0.0000087358        2.7686402896     0.0008   2026-09-08 10:32:32
    94     98    0.0001020297    0.0001091046    10436.6115283570    0.0000021752        2.7670306331     0.0008   2026-09-08 10:32:32
    95     99    0.0004019848    0.0004304951    10436.6115150853    0.0000132717        2.7603768093     0.0008   2026-09-08 10:32:32
    96    100    0.0004944801    0.0005310122    10436.6114879315    0.0000271538        2.7518461758     0.0007   2026-09-08 10:32:32
    97    101    0.0008734207    0.0009422081    10436.6114092052    0.0000787263        2.7358418620     0.0008   2026-09-08 10:32:32
    98    102    0.0013105219    0.0014253283    10436.6112109176    0.0001982876        2.7093937136     0.0007   2026-09-08 10:32:32
    99    103    0.0020248653    0.0022362620    10436.6106855259    0.0005253917        3.9299365762     0.0007   2026-09-08 10:32:32
   100    104    0.0029079716    0.0033167632    10436.6093272512    0.0013582747        6.5293957750     0.0007   2026-09-08 10:32:32
   101    105    0.0037555147    0.0046501149    10436.6058298419    0.0034974094       10.6135173210     0.0008   2026-09-08 10:32:32
   102    106    0.0034553324    0.0058490440    10436.5971217404    0.0087081015       16.6699689848     0.0007   2026-09-08 10:32:32
   103    107    0.0049153594    0.0079084963    10436.5770518870    0.0200698533       24.3891625340     0.0008   2026-09-08 10:32:32
   104    108    0.0154287655    0.0190232942    10436.5388022450    0.0382496421       30.3549721151     0.0007   2026-09-08 10:32:32
   105    109    0.0375587784    0.0389868022    10436.4899421037    0.0488601412       27.0293658818     0.0013   2026-09-08 10:32:32
   106    110    0.0413003184    0.0416798867    10436.4582328002    0.0317093035       13.3676727021     0.0009   2026-09-08 10:32:32
   107    111    0.0170464077    0.0179280907    10436.4503894226    0.0078433776        2.4964806447     0.0013   2026-09-08 10:32:32
   108    112    0.0014040925    0.0023392944    10436.4498318465    0.0005575761        2.3744132655     0.0009   2026-09-08 10:32:32
   109    113    0.0007179310    0.0007830205    10436.4498178587    0.0000139878        2.3511878269     0.0007   2026-09-08 10:32:32
   110    114    0.0001294100    0.0001311766    10436.4498169777    0.0000008809        2.3491868119     0.0008   2026-09-08 10:32:32
   111    115    0.0002736297    0.0002769546    10436.4498140989    0.0000028788        2.3450591896     0.0008   2026-09-08 10:32:32
   112    116    0.0003892144    0.0003940270    10436.4498073995    0.0000066994        2.3389075835     0.0009   2026-09-08 10:32:32
   113    117    0.0006560377    0.0006645156    10436.4497890357    0.0000183639        2.3277130468     0.0010   2026-09-08 10:32:32
   114    118    0.0010263099    0.0010406332    10436.4497418753    0.0000471603        2.3080412875     0.0010   2026-09-08 10:32:32
   115    119    0.0016261806    0.0016521092    10436.4496181566    0.0001237187        2.2711241903     0.0010   2026-09-08 10:32:32
   116    120    0.0024827549    0.0025328266    10436.4492991007    0.0003190559        3.4066599727     0.0011   2026-09-08 10:32:32
   117    121    0.0035753729    0.0036849763    10436.4484900215    0.0008090792        5.4766006811     0.0010   2026-09-08 10:32:32
   118    122    0.0043786593    0.0046685191    10436.4465458172    0.0019442043        8.3545173111     0.0012   2026-09-08 10:32:32
   119    123    0.0030462631    0.0041520467    10436.4424426512    0.0041031660       11.3627918508     0.0010   2026-09-08 10:32:32
   120    124    0.0036346591    0.0054035412    10436.4360150968    0.0064275544       11.9801303485     0.0010   2026-09-08 10:32:32
   121    125    0.0130488504    0.0134990261    10436.4303336109    0.0056814860        7.7296496478     0.0011   2026-09-08 10:32:32
   122    126    0.0122559752    0.0123645793    10436.4282133693    0.0021202416        2.2478363411     0.0010   2026-09-08 10:32:32
   123    127    0.0037305956    0.0038363568    10436.4279501926    0.0002631767        0.1922751891     0.0008   2026-09-08 10:32:32
   124    128    0.0001597290    0.0002643278    10436.4279411706    0.0000090220        0.1670749173     0.0008   2026-09-08 10:32:32
   125    129    0.0000610840    0.0000647917    10436.4279410659    0.0000001047        0.1673088368     0.0008   2026-09-08 10:32:32
   126    130    0.0000084068    0.0000085283    10436.4279410571    0.0000000089        0.1672407818     0.0008   2026-09-08 10:32:32
   127    131    0.0000447220    0.0000453406    10436.4279409852    0.0000000719        0.1668499048     0.0012   2026-09-08 10:32:32
   128    132    0.0000526229    0.0000533623    10436.4279408457    0.0000001395        0.1667303936     0.0011   2026-09-08 10:32:32
   129    133    0.0000969290    0.0000983369    10436.4279404317    0.0000004139        0.1675894598     0.0010   2026-09-08 10:32:32
   130    134    0.0001481383    0.0001504330    10436.4279394003    0.0000010315        0.1743079669     0.0009   2026-09-08 10:32:32
   131    135    0.0002397414    0.0002439466    10436.4279366743    0.0000027260        0.2957238466     0.0010   2026-09-08 10:32:32
   132    136    0.0003680611    0.0003762896    10436.4279297416    0.0000069327        0.4837793684     0.0009   2026-09-08 10:32:32
   133    137    0.0005328503    0.0005516765    10436.4279125597    0.0000171819        0.7603632220     0.0010   2026-09-08 10:32:32
   134    138    0.0006343572    0.0006867381    10436.4278737281    0.0000388316        1.1009910334     0.0010   2026-09-08 10:32:32
   135    139    0.0003689201    0.0005725265    10436.4278024654    0.0000712627        1.3300643338     0.0010   2026-09-08 10:32:32
   136    140    0.0005674890    0.0007690393    10436.4277181410    0.0000843244        1.1020616804     0.0009   2026-09-08 10:32:32
   137    141    0.0013200922    0.0013585022    10436.4276709295    0.0000472115        0.4716797827     0.0010   2026-09-08 10:32:32
   138    142    0.0007960806    0.0008076459    10436.4276614040    0.0000095254        0.0716700139     0.0016   2026-09-08 10:32:32

<a href = "matlab: helpview('optim','local_min_unconstrained','CSHelpWindow');">Local minimum found</a>.

Optimization completed because the <a href = "matlab: helpview('optim','grad_size','CSHelpWindow');">size of the gradient</a> is less than
the value of the <a href = "matlab: helpview('optim','optimality_tolerance_unc','CSHelpWindow');">optimality tolerance</a>.

<<a href = "matlab: createExitMsg({'optim:fminusub:Exit1basic'},{'optim:fminusub:Exit1detailed','5.209800e-07','1.000000e-06'},true,true);;">stopping criteria details</a>>

__________________________________________________________________________________________________________________

<strong>Negative Binomial </strong><strong>
</strong>                                                                       
var.                                      coef.      st.err.  p-value   
Constant                                -0.0436       0.0786   0.5793   
Consumer surplus per trip                0.0028***    0.0009   0.0011   
Household income (10k PLN)               0.4587***    0.0785   0.0000   
Male                                     0.1311**     0.0510   0.0101   
Higher education                         0.2183***    0.0584   0.0002   
City                                    -0.0454       0.0521   0.3836   
Winter                                   0.8612***    0.0730   0.0000   
Hiking                                   0.5225***    0.0558   0.0000   
Skiing                                   0.8519***    0.2493   0.0006   
 
                                                                       
                                      Overdispersion parameters        
var.                                      coef.      st.err.            
ln alpha                                 1.1392       0.0269            
 
                                                                       
                                      Consumer Surplus                 
var.                                      coef.      st.err.  p-value   
-1/(Consumer surplus per trip)        -353.1450***  107.7986   0.0011   
 
<strong>Model diagnostics: 
</strong>LL at convergence:             -10436.4277
LL at constant(s) only:        -10645.7640
McFadden's pseudo-R²:               0.0197
AIC/n:                              3.5684
BIC/n:                              3.5798
n (observations):                5855
r (respondents):                 5855
k (parameters):                    10
 
Estimation method      maximum likelihood
Optimization method    quasi-newton
Gradient               user-supplied, analytical
Hessian                off, retained from optimization
                       
Descriptive statistics 
var                                   Y Consumer surplus per trip
mean                             2.3286         57.1442
median                           0.0000         53.8296
std                              9.9300         29.3892
min                              0.0000        -15.0750
max                            324.0000        151.9561
quantile 0.025                   0.0000          5.0034
quantile 0.975                  13.0000        116.1724
 
 
Estimation completed on Tuesday, 2026-09-08 at 10:32:33
Estimation took 0.22492 seconds (0 hours 0 minutes 0.22492 seconds).

====================================================
all_TC_MXL  (5 of 6)
====================================================
 
__________________________________________________________________________________________________________________
 
Estimating <strong>choice-task weighted </strong>MNL model ...
in preference-space ...
total weight:                    2826.0000
choice tasks:                        64998
Using linear regression estimates as starting values
 Iter.  Eval.         max|dB|            Step                f(x)         df prev          Opt. Cond.   Iter sec             Date/time
     0      1             NaN             NaN     8870.5573598236             NaN     2436.8373686904     0.0001   2026-09-08 10:33:34
     1      2    1.0000000000    1.0166995417     7516.2455540542 1354.3118057694      321.3846190777     0.0602   2026-09-08 10:33:34
     2      3    0.1677626495    0.2615346738     7407.9932797320  108.2522743222      303.9141013201     0.0603   2026-09-08 10:33:34
     3      4    0.7461951583    1.0385963017     7129.9832842176  278.0099955144      388.9420324649     0.0603   2026-09-08 10:33:34
     4      5    0.6824169652    0.9310770198     6984.3141147667  145.6691694510      420.0733258267     0.0601   2026-09-08 10:33:34
     5      6    0.2880742645    0.4593203189     6917.0005442570   67.3135705096      246.3337412450     0.0599   2026-09-08 10:33:34
     6      7    0.1719916428    0.2675538503     6873.9965820504   43.0039622066      123.6882668392     0.0608   2026-09-08 10:33:34
     7      8    0.0972568642    0.1541562541     6857.7126621544   16.2839198959      105.6264547016     0.0614   2026-09-08 10:33:34
     8      9    0.1426826605    0.2529774015     6836.9597075584   20.7529545960      151.9474980157     0.0615   2026-09-08 10:33:34
     9     10    0.2285462806    0.3874465658     6816.0815232464   20.8781843120      114.9398711971     0.0600   2026-09-08 10:33:34
    10     11    0.1123831862    0.2185476759     6808.5613720500    7.5201511964       34.1598887540     0.0618   2026-09-08 10:33:34
    11     12    0.0415575366    0.0962966285     6806.4037640195    2.1576080306       21.7048556840     0.0615   2026-09-08 10:33:34
    12     13    0.0350504584    0.0724927792     6804.9810181286    1.4227458909       27.5491527716     0.0624   2026-09-08 10:33:34
    13     14    0.0528509501    0.1283811693     6802.5697793813    2.4112387473       41.8405208453     0.0601   2026-09-08 10:33:34
    14     15    0.0695960805    0.1676119871     6799.8373749879    2.7324043934       39.3901411143     0.0603   2026-09-08 10:33:34
    15     16    0.0482109453    0.1272450877     6798.1963138256    1.6410611623       18.9715072065     0.0622   2026-09-08 10:33:34
    16     17    0.0280136615    0.0426678656     6797.7707763484    0.4255374772        6.0950233982     0.0618   2026-09-08 10:33:35
    17     18    0.0148800119    0.0213762971     6797.6293295311    0.1414468173        6.1561968458     0.0602   2026-09-08 10:33:35
    18     19    0.0160004061    0.0280421401     6797.4287661779    0.2005633531        8.8570295757     0.0622   2026-09-08 10:33:35
    19     20    0.0212634919    0.0548046847     6797.0477052701    0.3810609079       13.5400163392     0.0617   2026-09-08 10:33:35
    20     21    0.0440615026    0.0890276597     6796.5480241121    0.4996811580       13.5995024823     0.0604   2026-09-08 10:33:35
    21     22    0.0512369814    0.0926168654     6796.1595520503    0.3884720618        7.6400823925     0.0619   2026-09-08 10:33:35
    22     23    0.0311538891    0.0553944520     6795.9717496244    0.1878024258        7.6266252033     0.0615   2026-09-08 10:33:35
    23     24    0.0182811745    0.0334151610     6795.8430958934    0.1286537310        6.6229439045     0.0609   2026-09-08 10:33:35
    24     25    0.0287288379    0.0524036673     6795.6128663981    0.2302294953        8.4336965245     0.0619   2026-09-08 10:33:35
    25     26    0.0521304180    0.0985491567     6795.1928180450    0.4200483532       12.6628532826     0.0628   2026-09-08 10:33:35
    26     27    0.0739697174    0.1512022325     6794.6279428893    0.5648751556       12.7284561837     0.0623   2026-09-08 10:33:35
    27     28    0.0588878292    0.1385085028     6794.1861021599    0.4418407294        7.1326689948     0.0608   2026-09-08 10:33:35
    28     29    0.0300531235    0.0707331658     6793.9494037340    0.2366984259        7.0744469012     0.0616   2026-09-08 10:33:35
    29     30    0.0220727351    0.0456769688     6793.7465286227    0.2028751114        5.7827413601     0.0605   2026-09-08 10:33:35
    30     31    0.0298658449    0.0751643111     6793.3904265693    0.3561020533       10.9940914374     0.0607   2026-09-08 10:33:35
    31     32    0.0500067938    0.1552703866     6792.7568664200    0.6335601493       15.5098026623     0.0638   2026-09-08 10:33:35
    32     33    0.0911155906    0.2510147092     6791.9387950955    0.8180713245       14.4635607294     0.0618   2026-09-08 10:33:36
    33     34    0.0937386814    0.2322184934     6791.3295861308    0.6092089646        7.5695677539     0.0629   2026-09-08 10:33:36
    34     35    0.0485391687    0.1132532775     6791.0364502336    0.2931358973        6.2040626446     0.0635   2026-09-08 10:33:36
    35     36    0.0233566328    0.0606035911     6790.8219698253    0.2144804083        5.7449047855     0.0612   2026-09-08 10:33:36
    36     37    0.0323178662    0.1008918866     6790.4277243183    0.3942455070       11.1552176860     0.0637   2026-09-08 10:33:36
    37     38    0.0617941391    0.1916421292     6789.7473213452    0.6804029731       15.1695934091     0.0617   2026-09-08 10:33:36
    38     39    0.0842678812    0.2684567489     6788.9444765774    0.8028447678       13.3269354537     0.0644   2026-09-08 10:33:36
    39     40    0.0584528146    0.1877904370     6788.4602709426    0.4842056348        5.6186246979     0.0632   2026-09-08 10:33:36
    40     41    0.0244606720    0.0533803558     6788.2926419067    0.1676290360        5.4745684679     0.0622   2026-09-08 10:33:36
    41     42    0.0099468894    0.0208700778     6788.2012860543    0.0913558523        4.8143534285     0.0620   2026-09-08 10:33:36
    42     43    0.0119019551    0.0289226374     6788.0562549652    0.1450310891        5.5729141175     0.0611   2026-09-08 10:33:36
    43     44    0.0222220458    0.0560033520     6787.8579869703    0.1982679949        6.1577987672     0.0653   2026-09-08 10:33:36
    44     45    0.0288527855    0.0772417384     6787.6993903134    0.1585966569        3.7928688938     0.0632   2026-09-08 10:33:36
    45     46    0.0196190431    0.0509214383     6787.6353816230    0.0640086904        3.2347075217     0.0610   2026-09-08 10:33:36
    46     47    0.0080117383    0.0204399627     6787.6096495867    0.0257320364        2.6463267930     0.0599   2026-09-08 10:33:36
    47     48    0.0077250757    0.0185253676     6787.5776963907    0.0319531960        2.2886314810     0.0628   2026-09-08 10:33:36
    48     49    0.0119954528    0.0281923867     6787.5224729917    0.0552233990        2.9640809762     0.0608   2026-09-08 10:33:37
    49     50    0.0168832477    0.0336582494     6787.4610862511    0.0613867405        2.7070325725     0.0609   2026-09-08 10:33:37
    50     51    0.0162511121    0.0248501277     6787.4247436352    0.0363426159        2.0513825093     0.0624   2026-09-08 10:33:37
    51     52    0.0071614282    0.0113683668     6787.4117600584    0.0129835767        1.7110426939     0.0598   2026-09-08 10:33:37
    52     53    0.0038014476    0.0068548753     6787.4031741500    0.0085859084        1.3581131381     0.0601   2026-09-08 10:33:37
    53     54    0.0062872158    0.0100259882     6787.3883460266    0.0148281234        1.3821115769     0.0798   2026-09-08 10:33:37
    54     55    0.0094944477    0.0159492812     6787.3680239254    0.0203221012        1.6164683774     0.0712   2026-09-08 10:33:37
    55     56    0.0087034239    0.0193450706     6787.3515332772    0.0164906482        1.0645315410     0.0628   2026-09-08 10:33:37
    56     57    0.0053690771    0.0122214837     6787.3450471763    0.0064861010        0.8591987968     0.0613   2026-09-08 10:33:37
    57     58    0.0019552359    0.0047692058     6787.3427646983    0.0022824780        0.6554348969     0.0618   2026-09-08 10:33:37
    58     59    0.0019379758    0.0038848644     6787.3402662958    0.0024984025        0.6183028998     0.0628   2026-09-08 10:33:37
    59     60    0.0028365745    0.0058765420     6787.3361527274    0.0041135684        0.6399382585     0.0616   2026-09-08 10:33:37
    60     61    0.0038090486    0.0072042428     6787.3321544284    0.0039982990        0.5300243473     0.0601   2026-09-08 10:33:37
    61     62    0.0031912553    0.0055638278     6787.3302240386    0.0019303898        0.3127060899     0.0621   2026-09-08 10:33:37
    62     63    0.0010641563    0.0023228367     6787.3297221831    0.0005018555        0.2850660699     0.0640   2026-09-08 10:33:37
    63     64    0.0005943039    0.0011279075     6787.3294494772    0.0002727059        0.2512653314     0.0682   2026-09-08 10:33:37
    64     65    0.0007110950    0.0016795440     6787.3289647854    0.0004846918        0.2047669686     0.0737   2026-09-08 10:33:38
    65     66    0.0010259157    0.0022858060     6787.3283825168    0.0005822686        0.2135165325     0.0687   2026-09-08 10:33:38
    66     67    0.0009686146    0.0023237298     6787.3279952531    0.0003872637        0.1413805749     0.0615   2026-09-08 10:33:38
    67     68    0.0005328146    0.0012017361     6787.3278864263    0.0001088268        0.0768878796     0.0628   2026-09-08 10:33:38
    68     69    0.0002417193    0.0004112187     6787.3278583936    0.0000280327        0.0712095316     0.0618   2026-09-08 10:33:38
    69     70    0.0001950780    0.0003770198     6787.3278256752    0.0000327184        0.0643927550     0.0605   2026-09-08 10:33:38
    70     71    0.0003330331    0.0006803005     6787.3277632161    0.0000624591        0.0721071604     0.0615   2026-09-08 10:33:38
    71     72    0.0004621293    0.0009636501     6787.3276908479    0.0000723682        0.0847885612     0.0630   2026-09-08 10:33:38
    72     73    0.0004783707    0.0008576351     6787.3276470294    0.0000438185        0.0538902395     0.0627   2026-09-08 10:33:38
    73     74    0.0001847935    0.0003689372     6787.3276353446    0.0000116848        0.0314194356     0.0618   2026-09-08 10:33:38
    74     75    0.0000805808    0.0001285034     6787.3276318215    0.0000035231        0.0275030468     0.0618   2026-09-08 10:33:38
    75     76    0.0000784372    0.0001430855     6787.3276270335    0.0000047880        0.0233499231     0.0619   2026-09-08 10:33:38
    76     77    0.0000903494    0.0002313320     6787.3276194928    0.0000075407        0.0218346741     0.0623   2026-09-08 10:33:38
    77     78    0.0001244051    0.0002879921     6787.3276127115    0.0000067813        0.0226524019     0.0619   2026-09-08 10:33:38
    78     79    0.0000988858    0.0001997057     6787.3276099866    0.0000027249        0.0122775740     0.0628   2026-09-08 10:33:38
    79     80    0.0000380690    0.0000684443     6787.3276094890    0.0000004976        0.0073495485     0.0601   2026-09-08 10:33:39
    80     81    0.0000164782    0.0000252668     6787.3276093067    0.0000001823        0.0071992640     0.0607   2026-09-08 10:33:39
    81     82    0.0000242843    0.0000432696     6787.3276089408    0.0000003659        0.0066459063     0.0606   2026-09-08 10:33:39
    82     83    0.0000330640    0.0000661953     6787.3276084250    0.0000005158        0.0064439046     0.0600   2026-09-08 10:33:39
    83     84    0.0000462044    0.0000817378     6787.3276079498    0.0000004753        0.0074568646     0.0615   2026-09-08 10:33:39
    84     85    0.0000293839    0.0000543626     6787.3276077318    0.0000002180        0.0054468765     0.0597   2026-09-08 10:33:39
    85     86    0.0000128321    0.0000252579     6787.3276076410    0.0000000908        0.0057315256     0.0617   2026-09-08 10:33:39
    86     87    0.0000125614    0.0000227715     6787.3276075428    0.0000000982        0.0050729427     0.0595   2026-09-08 10:33:39
    87     88    0.0000191915    0.0000368193     6787.3276073839    0.0000001589        0.0041299133     0.0598   2026-09-08 10:33:39
    88     89    0.0000237256    0.0000456809     6787.3276072281    0.0000001558        0.0029192804     0.0664   2026-09-08 10:33:39
    89     90    0.0000153831    0.0000325199     6787.3276071548    0.0000000733        0.0017468394     0.0716   2026-09-08 10:33:39

<a href = "matlab: helpview('optim','local_min_unconstrained','CSHelpWindow');">Local minimum found</a>.

Optimization completed because the <a href = "matlab: helpview('optim','grad_size','CSHelpWindow');">size of the gradient</a> is less than
the value of the <a href = "matlab: helpview('optim','optimality_tolerance_unc','CSHelpWindow');">optimality tolerance</a>.

<<a href = "matlab: createExitMsg({'optim:fminusub:Exit1basic'},{'optim:fminusub:Exit1detailed','7.165529e-07','1.000000e-06'},true,true);;">stopping criteria details</a>>

__________________________________________________________________________________________________________________

<strong>MNL </strong><strong>in preference-space, weighted by choice task
</strong>                                                     
var.                    coef.    st.err.  p-value   
Tatrzanski             1.3321***  0.1273   0.0000   
Babiogorski           -1.2712***  0.1927   0.0000   
Bialowieski           -0.2921*    0.1541   0.0580   
Biebrzanski           -0.8980***  0.1672   0.0000   
Bieszczadzki           1.0612***  0.1397   0.0000   
BoryTucholskie         0.0057     0.1309   0.9654   
Drawienski            -1.6682***  0.2010   0.0000   
Gorczanski            -1.7510***  0.2435   0.0000   
GorStolowych          -0.0814     0.1426   0.5684   
Kampinoski            -0.7009***  0.1414   0.0000   
Karkonoski             0.3661***  0.1328   0.0058   
Magurski              -1.1332***  0.1975   0.0000   
Narwianski            -1.4196***  0.1920   0.0000   
Ojcowski              -0.1239     0.1364   0.3637   
Pieninski             -0.0572     0.1489   0.7009   
Poleski               -1.6442***  0.2095   0.0000   
Roztoczanski          -0.5993***  0.1586   0.0002   
Slowinski             -0.2772*    0.1493   0.0634   
Swietokrzyski         -0.1801     0.1358   0.1848   
UjscieWarty           -1.0432***  0.1754   0.0000   
Wielkopolski          -0.6599***  0.1397   0.0000   
Wigierski             -0.9082***  0.1831   0.0000   
-TC/100                1.2806***  0.0282   0.0000   
 
<strong>Model diagnostics: 
</strong>LL at convergence:             -6787.3276
LL at constant(s) only:        -8153.6184
McFadden's pseudo-R²:              0.1676
Ben-Akiva-Lerman's pseudo-R²:      0.0190
AIC/n:                             0.2096
BIC/n:                             0.2128
n (observations):              64998
r (respondents):                2826
k (parameters):                   23
 
Estimation method      weighted maximum likelihood (choice-task weights)
Optimization method    quasi-newton
Gradient               user-supplied, analytical
Hessian                retained from optimization
 
 
Estimation completed on Tuesday, 2026-09-08 at 10:33:45
Estimation took 3.486 seconds (0 hours 0 minutes 3.486 seconds).
 
__________________________________________________________________________________________________________________
 
Estimating Negative Binomial (NB2) regression model ...
without truncation
without censoring.
Using linear regression estimates as starting values
Initial values: [-0.26 5.3e-05 0.3 0.09 0.15 0.0017 0.4 0.66 0.52 0]

Opmization algorithm: <strong>quasi-newton
</strong>Gradient: <strong>user-supplied, analytical 
</strong>Hessian: <strong>off, </strong><strong>retained from optimization 
</strong>
 Iter.  Eval.         max|dB|            Step                f(x)         df prev          Opt. Cond.   Iter sec             Date/time
     0      1             NaN             NaN    12046.4517126595             NaN   136221.3561276222     0.0000   2026-09-08 10:33:45
     1      4    0.0105343824    0.0105389061    11714.0636701665  332.3880424929    62201.4737214589     0.0034   2026-09-08 10:33:45
     2      5    0.0033005619    0.0033012523    11596.9327327806  117.1309373860     7461.4652952113     0.0009   2026-09-08 10:33:45
     3      6    0.0004517514    0.0004649745    11595.1606848507    1.7720479299     1784.5067558611     0.0014   2026-09-08 10:33:45
     4      9    0.0090467741    0.0101047482    11577.7034958514   17.4571889994     9456.1995760930     0.0031   2026-09-08 10:33:45
     5     10    0.0527361733    0.0588253288    11492.2005739380   85.5029219134    31018.7145040872     0.0012   2026-09-08 10:33:45
     6     11    0.1752275602    0.1954199283    11260.1267168246  232.0738571134    57071.8568785829     0.0011   2026-09-08 10:33:45
     7     12    0.3382812231    0.3772366484    10916.6093363867  343.5173804379    62602.8997235967     0.0010   2026-09-08 10:33:45
     8     13    0.3662588081    0.4084214865    10677.4165302164  239.1928061703    49279.4156333316     0.0008   2026-09-08 10:33:45
     9     14    0.1763737393    0.1966745596    10586.5145100747   90.9020201416    36440.4975951635     0.0008   2026-09-08 10:33:45
    10     15    0.0754519755    0.0841637409    10516.2761147059   70.2383953689    20303.8336292643     0.0011   2026-09-08 10:33:45
    11     16    0.0296312050    0.0331950420    10481.4290729330   34.8470417729      150.1284777532     0.0011   2026-09-08 10:33:45
    12     17    0.0345042290    0.0384808678    10479.5948677181    1.8342052149      724.5822878006     0.0013   2026-09-08 10:33:45
    13     18    0.0198487971    0.0221401815    10479.2789755296    0.3158921886      144.8727543594     0.0012   2026-09-08 10:33:45
    14     19    0.0003010409    0.0003317084    10479.2757122579    0.0032632716      144.2919430679     0.0013   2026-09-08 10:33:45
    15     20    0.0007943165    0.0008632642    10479.2631585733    0.0125536847      212.3529161910     0.0012   2026-09-08 10:33:45
    16     21    0.0012235096    0.0013038448    10479.2321095346    0.0310490387      523.8027849537     0.0011   2026-09-08 10:33:45
    17     22    0.0020767731    0.0021761961    10479.1492405738    0.0828689607     1037.3986071464     0.0009   2026-09-08 10:33:45
    18     23    0.0034451268    0.0036375201    10478.9355676663    0.2136729075     1851.7612602355     0.0014   2026-09-08 10:33:45
    19     24    0.0058250212    0.0066527978    10478.3843861182    0.5511815481     3133.8735963657     0.0012   2026-09-08 10:33:45
    20     25    0.0097233099    0.0135201021    10477.0091371018    1.3752490164     5041.7771314653     0.0014   2026-09-08 10:33:45
    21     26    0.0170837700    0.0292268325    10473.8189898795    3.1901472223     7508.9038155572     0.0011   2026-09-08 10:33:45
    22     27    0.0367394792    0.0577928641    10467.6693112570    6.1496786225     9543.3291689461     0.0015   2026-09-08 10:33:45
    23     28    0.0539032853    0.0820719692    10459.6801767696    7.9891344874     8829.9638963009     0.0012   2026-09-08 10:33:45
    24     29    0.0394792312    0.0604283207    10454.1592533287    5.5209234408     4750.5029957928     0.0012   2026-09-08 10:33:45
    25     30    0.0112167405    0.0163245438    10452.5265240659    1.6327292628      984.2138813682     0.0011   2026-09-08 10:33:45
    26     31    0.0060085585    0.0086818367    10452.3981297805    0.1283942855       47.8960345620     0.0010   2026-09-08 10:33:45
    27     32    0.0014677022    0.0024079594    10452.3944937920    0.0036359885       47.7096011819     0.0009   2026-09-08 10:33:45
    28     33    0.0002357598    0.0003698752    10452.3941698286    0.0003239634       47.7130062527     0.0009   2026-09-08 10:33:45
    29     34    0.0003618879    0.0005689849    10452.3933617717    0.0008080569       47.7222937592     0.0009   2026-09-08 10:33:45
    30     35    0.0005596511    0.0008875161    10452.3913018813    0.0020598904       59.8819153056     0.0008   2026-09-08 10:33:45
    31     36    0.0008912907    0.0014370250    10452.3858558356    0.0054460457      123.7801489874     0.0009   2026-09-08 10:33:45
    32     37    0.0013732235    0.0022871909    10452.3716640342    0.0141918014      226.6897948212     0.0009   2026-09-08 10:33:45
    33     38    0.0020553156    0.0036675470    10452.3345542397    0.0371097945      392.9220969759     0.0008   2026-09-08 10:33:45
    34     39    0.0029639867    0.0059845908    10452.2382056307    0.0963486091      658.7709246207     0.0008   2026-09-08 10:33:45
    35     40    0.0058631759    0.0104248580    10451.9912840975    0.2469215331     1074.8681580325     0.0008   2026-09-08 10:33:45
    36     41    0.0127311138    0.0203836933    10451.3811580568    0.6101260408     1686.2402322609     0.0008   2026-09-08 10:33:45
    37     42    0.0310961565    0.0429512769    10450.0055880265    1.3755700302     2434.6442123784     0.0008   2026-09-08 10:33:45
    38     43    0.0613189943    0.0818490392    10447.5096727281    2.4959152984     2901.7603352783     0.0008   2026-09-08 10:33:45
    39     44    0.0784308599    0.1076389041    10444.6370035461    2.8726691821     2305.6044813066     0.0008   2026-09-08 10:33:45
    40     45    0.0430530414    0.0679127083    10443.1441544076    1.4928491385      904.3425598919     0.0008   2026-09-08 10:33:45
    41     46    0.0101667965    0.0170132712    10442.8830658577    0.2610885499      125.8718145432     0.0008   2026-09-08 10:33:45
    42     47    0.0054176336    0.0075739000    10442.8679451991    0.0151206586        6.4206185218     0.0007   2026-09-08 10:33:45
    43     48    0.0012534031    0.0016671936    10442.8676170410    0.0003281581        6.2671298519     0.0007   2026-09-08 10:33:45
    44     49    0.0001029821    0.0001457397    10442.8676063808    0.0000106603        6.2518300377     0.0007   2026-09-08 10:33:45
    45     50    0.0001382436    0.0001980254    10442.8675829803    0.0000234005        6.2313409875     0.0008   2026-09-08 10:33:45
    46     51    0.0002238327    0.0003208250    10442.8675213742    0.0000616060        9.0674782746     0.0008   2026-09-08 10:33:45
    47     52    0.0003597216    0.0005159211    10442.8673605177    0.0001608566       18.3374515483     0.0007   2026-09-08 10:33:45
    48     53    0.0005782947    0.0008308196    10442.8669393626    0.0004211551       33.3363071807     0.0007   2026-09-08 10:33:45
    49     54    0.0009226592    0.0013324019    10442.8658397010    0.0010996616       57.5118291539     0.0008   2026-09-08 10:33:45
    50     55    0.0014537891    0.0021308190    10442.8629782939    0.0028614071       96.2534139240     0.0008   2026-09-08 10:33:45
    51     56    0.0022250342    0.0034022692    10442.8556106571    0.0073676368      157.2673154086     0.0008   2026-09-08 10:33:45
    52     57    0.0031778005    0.0054783270    10442.8371434167    0.0184672404      248.9972862310     0.0007   2026-09-08 10:33:45
    53     58    0.0048573569    0.0090897073    10442.7939306519    0.0432127649      370.1760685405     0.0008   2026-09-08 10:33:45
    54     59    0.0080089980    0.0154127673    10442.7083604418    0.0855702101      476.4355962340     0.0008   2026-09-08 10:33:45
    55     60    0.0110712168    0.0228760536    10442.5906777675    0.1176826743      448.0535149392     0.0009   2026-09-08 10:33:45
    56     61    0.0112013891    0.0219720828    10442.5070931151    0.0835846524      235.8022818100     0.0007   2026-09-08 10:33:45
    57     62    0.0074823733    0.0108855382    10442.4843401514    0.0227529638       49.7667020554     0.0008   2026-09-08 10:33:45
    58     63    0.0017063358    0.0032732495    10442.4824097149    0.0019304365        5.1855586573     0.0007   2026-09-08 10:33:45
    59     64    0.0003364368    0.0006636722    10442.4823577708    0.0000519441        5.0897927769     0.0007   2026-09-08 10:33:45
    60     65    0.0000451894    0.0000887287    10442.4823531241    0.0000046467        5.0784883671     0.0007   2026-09-08 10:33:45
    61     66    0.0001333844    0.0002613034    10442.4823318848    0.0000212393        5.0453554129     0.0007   2026-09-08 10:33:45
    62     67    0.0001719270    0.0003381133    10442.4822864809    0.0000454039        5.0017106326     0.0007   2026-09-08 10:33:45
    63     68    0.0002974844    0.0005892104    10442.4821574060    0.0001290749        6.2725630511     0.0008   2026-09-08 10:33:45
    64     69    0.0004497894    0.0009026887    10442.4818300638    0.0003273421       11.3371394987     0.0009   2026-09-08 10:33:45
    65     70    0.0007369436    0.0014271173    10442.4809653579    0.0008647059       19.5986874914     0.0008   2026-09-08 10:33:45
    66     71    0.0012358977    0.0021703137    10442.4787289899    0.0022363681       32.7407288813     0.0010   2026-09-08 10:33:45
    67     72    0.0021045996    0.0032345898    10442.4729811779    0.0057478119       53.3511152788     0.0009   2026-09-08 10:33:45
    68     73    0.0035459707    0.0048166553    10442.4587126962    0.0142684817       83.8297509967     0.0009   2026-09-08 10:33:45
    69     74    0.0056160245    0.0082529019    10442.4260392042    0.0326734920      122.3875074695     0.0009   2026-09-08 10:33:45
    70     75    0.0101842161    0.0167368645    10442.3645018168    0.0615373874      151.1449521098     0.0010   2026-09-08 10:33:45
    71     76    0.0184038580    0.0277500394    10442.2879484154    0.0765534014      130.7532834371     0.0016   2026-09-08 10:33:45
    72     77    0.0158547051    0.0250624294    10442.2418070624    0.0461413530       59.4456337772     0.0007   2026-09-08 10:33:45
    73     78    0.0046749515    0.0091356034    10442.2316172400    0.0101898224        9.5039508490     0.0009   2026-09-08 10:33:45
    74     79    0.0014391720    0.0020588455    10442.2309266947    0.0006905453        3.4836118948     0.0008   2026-09-08 10:33:45
    75     80    0.0003175349    0.0004863839    10442.2309120229    0.0000146718        3.4878344286     0.0008   2026-09-08 10:33:45
    76     81    0.0000486947    0.0000737447    10442.2309100366    0.0000019863        3.4886947484     0.0008   2026-09-08 10:33:45
    77     82    0.0002011601    0.0003064440    10442.2308973024    0.0000127342        3.4922919979     0.0008   2026-09-08 10:33:45
    78     83    0.0002422908    0.0003726811    10442.2308716402    0.0000256622        3.4966206697     0.0008   2026-09-08 10:33:45
    79     84    0.0004279448    0.0006685660    10442.2307967376    0.0000749026        3.5042417218     0.0008   2026-09-08 10:33:45
    80     85    0.0006324073    0.0010155980    10442.2306085610    0.0001881766        4.8636065003     0.0017   2026-09-08 10:33:45
    81     86    0.0009560113    0.0016143483    10442.2301096188    0.0004989422        8.3448790847     0.0009   2026-09-08 10:33:45
    82     87    0.0014269854    0.0024497580    10442.2288207713    0.0012888475       13.8748354290     0.0009   2026-09-08 10:33:45
    83     88    0.0022295594    0.0036076636    10442.2255044479    0.0033163235       22.5576926749     0.0009   2026-09-08 10:33:45
    84     89    0.0032755032    0.0050584342    10442.2172596045    0.0082448434       35.4272461661     0.0009   2026-09-08 10:33:45
    85     90    0.0041023460    0.0075307713    10442.1982951007    0.0189645038       51.8547632240     0.0008   2026-09-08 10:33:45
    86     91    0.0117966126    0.0147293787    10442.1621822705    0.0361128302       64.6320430567     0.0008   2026-09-08 10:33:45
    87     92    0.0243350741    0.0267686048    10442.1159811678    0.0462011028       57.2668853690     0.0008   2026-09-08 10:33:45
    88     93    0.0239962673    0.0275639815    10442.0864759994    0.0295051684       27.2067573423     0.0008   2026-09-08 10:33:45
    89     94    0.0079568037    0.0116180203    10442.0795307166    0.0069452827        4.5941518629     0.0007   2026-09-08 10:33:45
    90     95    0.0012336482    0.0021056283    10442.0790320588    0.0004986579        3.1204964924     0.0008   2026-09-08 10:33:45
    91     96    0.0004817961    0.0005417977    10442.0790190657    0.0000129931        3.0702444557     0.0007   2026-09-08 10:33:45
    92     97    0.0000917550    0.0001009167    10442.0790169322    0.0000021335        3.0640197759     0.0007   2026-09-08 10:33:45
    93     98    0.0003582300    0.0003949510    10442.0790040657    0.0000128665        3.0401650873     0.0010   2026-09-08 10:33:45
    94     99    0.0004391019    0.0004857965    10442.0789778176    0.0000262481        3.0104751811     0.0008   2026-09-08 10:33:45
    95    100    0.0007762625    0.0008636288    10442.0789016128    0.0000762047        2.9565150721     0.0007   2026-09-08 10:33:45
    96    101    0.0011633534    0.0013072941    10442.0787097181    0.0001918947        2.8717855221     0.0007   2026-09-08 10:33:45
    97    102    0.0017963978    0.0020564034    10442.0782008370    0.0005088811        4.6655431372     0.0007   2026-09-08 10:33:45
    98    103    0.0025788739    0.0030668726    10442.0768829454    0.0013178916        7.7755991576     0.0007   2026-09-08 10:33:45
    99    104    0.0033385235    0.0043597228    10442.0734729717    0.0034099737       12.7042396826     0.0007   2026-09-08 10:33:45
   100    105    0.0031199718    0.0056711288    10442.0648741532    0.0085988185       20.1884852367     0.0007   2026-09-08 10:33:45
   101    106    0.0043114620    0.0078340990    10442.0444042649    0.0204698883       30.3960514313     0.0007   2026-09-08 10:33:45
   102    107    0.0141128655    0.0181366343    10442.0022607761    0.0421434888       40.4254232365     0.0007   2026-09-08 10:33:45
   103    108    0.0386734563    0.0404946847    10441.9391642191    0.0630965570       41.0229815164     0.0007   2026-09-08 10:33:45
   104    109    0.0518642023    0.0523960284    10441.8861025117    0.0530617073       25.0567294438     0.0007   2026-09-08 10:33:45
   105    110    0.0288406557    0.0298218116    10441.8675636515    0.0185388602        6.4886781550     0.0007   2026-09-08 10:33:45
   106    111    0.0029464417    0.0050180376    10441.8656187614    0.0019448901        2.0406001525     0.0007   2026-09-08 10:33:45
   107    112    0.0012867497    0.0014797517    10441.8655522862    0.0000664752        2.0175111753     0.0007   2026-09-08 10:33:45
   108    113    0.0002998503    0.0003041454    10441.8655507136    0.0000015726        2.0145545726     0.0011   2026-09-08 10:33:45
   109    114    0.0001175430    0.0001187115    10441.8655497776    0.0000009360        2.0134597684     0.0009   2026-09-08 10:33:45
   110    115    0.0003643203    0.0003679699    10441.8655452201    0.0000045576        2.0099110809     0.0007   2026-09-08 10:33:45
   111    116    0.0004781045    0.0004831232    10441.8655353716    0.0000098484        2.0048346774     0.0007   2026-09-08 10:33:45
   112    117    0.0008315900    0.0008410144    10441.8655075209    0.0000278507        1.9948405128     0.0007   2026-09-08 10:33:45
   113    118    0.0012800590    0.0012965389    10441.8654368925    0.0000706285        1.9764365609     0.0007   2026-09-08 10:33:45
   114    119    0.0020208580    0.0020529170    10441.8652512890    0.0001856035        2.6466054626     0.0007   2026-09-08 10:33:45
   115    120    0.0030201804    0.0030877716    10441.8647769212    0.0004743678        4.3234477798     0.0007   2026-09-08 10:33:45
   116    121    0.0041421090    0.0043064716    10441.8635957099    0.0011812113        6.8115057466     0.0008   2026-09-08 10:33:45
   117    122    0.0043655422    0.0048553712    10441.8608902482    0.0027054616        9.9583253065     0.0007   2026-09-08 10:33:45
   118    123    0.0020744110    0.0035079456    10441.8557917103    0.0050985380       12.3012156629     0.0007   2026-09-08 10:33:45
   119    124    0.0081611022    0.0089554395    10441.8494666603    0.0063250500       10.6361040087     0.0007   2026-09-08 10:33:45
   120    125    0.0143175914    0.0144473873    10441.8456296037    0.0038370565        4.8849689899     0.0007   2026-09-08 10:33:45
   121    126    0.0081942635    0.0082698635    10441.8447534686    0.0008761352        0.8064688051     0.0007   2026-09-08 10:33:45
   122    127    0.0012741523    0.0013845080    10441.8446938905    0.0000595781        0.3464334689     0.0007   2026-09-08 10:33:45
   123    128    0.0000768466    0.0001119086    10441.8446927253    0.0000011652        0.3421243538     0.0009   2026-09-08 10:33:45
   124    129    0.0000245564    0.0000249601    10441.8446926994    0.0000000259        0.3418633703     0.0010   2026-09-08 10:33:45
   125    130    0.0000290001    0.0000293972    10441.8446926523    0.0000000470        0.3415739605     0.0008   2026-09-08 10:33:45
   126    131    0.0000519513    0.0000526617    10441.8446925168    0.0000001355        0.3410312038     0.0008   2026-09-08 10:33:45
   127    132    0.0000807848    0.0000819056    10441.8446921745    0.0000003423        0.3401181240     0.0007   2026-09-08 10:33:45
   128    133    0.0001320558    0.0001339410    10441.8446912670    0.0000009075        0.3384423336     0.0007   2026-09-08 10:33:45
   129    134    0.0002105809    0.0002137645    10441.8446889109    0.0000023561        0.3352908853     0.0007   2026-09-08 10:33:45
   130    135    0.0003346891    0.0003403814    10441.8446827802    0.0000061307        0.3961819736     0.0007   2026-09-08 10:33:45
   131    136    0.0005163792    0.0005275563    10441.8446670791    0.0000157011        0.6438940452     0.0007   2026-09-08 10:33:45
   132    137    0.0007448124    0.0007706408    10441.8446281628    0.0000389164        1.0086896748     0.0007   2026-09-08 10:33:45
   133    138    0.0008882497    0.0009626932    10441.8445396094    0.0000885534        1.4635339219     0.0007   2026-09-08 10:33:45
   134    139    0.0005207529    0.0008232598    10441.8443749758    0.0001646336        1.7846114247     0.0007   2026-09-08 10:33:45
   135    140    0.0008038802    0.0011289381    10441.8441750999    0.0001998758        1.5095127998     0.0007   2026-09-08 10:33:45
   136    141    0.0019216622    0.0019895479    10441.8440587352    0.0001163647        0.6681753497     0.0007   2026-09-08 10:33:45
   137    142    0.0011984216    0.0012150453    10441.8440340497    0.0000246855        0.1068036835     0.0007   2026-09-08 10:33:45

<a href = "matlab: helpview('optim','local_min_unconstrained','CSHelpWindow');">Local minimum found</a>.

Optimization completed because the <a href = "matlab: helpview('optim','grad_size','CSHelpWindow');">size of the gradient</a> is less than
the value of the <a href = "matlab: helpview('optim','optimality_tolerance_unc','CSHelpWindow');">optimality tolerance</a>.

<<a href = "matlab: createExitMsg({'optim:fminusub:Exit1basic'},{'optim:fminusub:Exit1detailed','7.840393e-07','1.000000e-06'},true,true);;">stopping criteria details</a>>

__________________________________________________________________________________________________________________

<strong>Negative Binomial </strong><strong>
</strong>                                                                          
var.                                       coef.         st.err.  p-value   
Constant                                  0.1281          0.0805   0.1118   
Consumer surplus per trip                -0.0001          0.0008   0.9257   
Household income (10k PLN)                0.4492***       0.0786   0.0000   
Male                                      0.1288**        0.0510   0.0116   
Higher education                          0.2148***       0.0586   0.0002   
City                                     -0.0556          0.0522   0.2865   
Winter                                    0.8779***       0.0730   0.0000   
Hiking                                    0.5522***       0.0557   0.0000   
Skiing                                    0.8881***       0.2496   0.0004   
 
                                                                          
                                      Overdispersion parameters           
var.                                       coef.         st.err.            
ln alpha                                  1.1427          0.0269            
 
                                                                          
                                      Consumer Surplus                    
var.                                       coef.         st.err.  p-value   
-1/(Consumer surplus per trip)        13242.2532     142001.2022   0.9257   
 
<strong>Model diagnostics: 
</strong>LL at convergence:             -10441.8440
LL at constant(s) only:        -10645.7640
McFadden's pseudo-R²:               0.0192
AIC/n:                              3.5702
BIC/n:                              3.5816
n (observations):                5855
r (respondents):                 5855
k (parameters):                    10
 
Estimation method      maximum likelihood
Optimization method    quasi-newton
Gradient               user-supplied, analytical
Hessian                off, retained from optimization
                       
Descriptive statistics 
var                                   Y Consumer surplus per trip
mean                             2.3286         61.1467
median                           0.0000         59.2309
std                              9.9300         31.5047
min                              0.0000        -33.8922
max                            324.0000        146.4264
quantile 0.025                   0.0000          3.4719
quantile 0.975                  13.0000        122.4754
 
 
Estimation completed on Tuesday, 2026-09-08 at 10:33:46
Estimation took 0.20677 seconds (0 hours 0 minutes 0.20677 seconds).

====================================================
all_TC_MXL_d  (6 of 6)
====================================================
 
__________________________________________________________________________________________________________________
 
Estimating <strong>choice-task weighted </strong>MNL model ...
in preference-space ...
total weight:                    2826.0000
choice tasks:                        64998
Using linear regression estimates as starting values
 Iter.  Eval.         max|dB|            Step                f(x)         df prev          Opt. Cond.   Iter sec             Date/time
     0      1             NaN             NaN     8870.5784962448             NaN     2430.9547649338     0.0001   2026-09-08 10:34:46
     1      2    1.0000000000    1.0167797933     7512.6481696478 1357.9303265969      321.3070426831     0.0600   2026-09-08 10:34:46
     2      3    0.1697320621    0.2669593189     7401.7347140798  110.9134555680      303.7395024058     0.0587   2026-09-08 10:34:46
     3      4    0.7196251575    1.0040569446     7131.6267806565  270.1079334234      381.8531451669     0.0583   2026-09-08 10:34:46
     4      5    0.6882380104    0.9386868625     6982.4578879223  149.1688927341      423.0063594648     0.0584   2026-09-08 10:34:46
     5      6    0.3050507568    0.4792563665     6913.1173108017   69.3405771206      253.7095429163     0.0597   2026-09-08 10:34:46
     6      7    0.1712707771    0.2714231012     6869.0531233459   44.0641874557      124.5587579568     0.0591   2026-09-08 10:34:46
     7      8    0.1004951629    0.1605860419     6852.0451476293   17.0079757166      103.9665979979     0.0591   2026-09-08 10:34:46
     8      9    0.1316480043    0.2347183523     6832.5195564980   19.5255911313      149.5902211762     0.0591   2026-09-08 10:34:46
     9     10    0.2336374574    0.3956852490     6810.7776964646   21.7418600334      117.1136845762     0.0587   2026-09-08 10:34:46
    10     11    0.1158056949    0.2231157917     6802.9711501404    7.8065463241       37.0067856138     0.0656   2026-09-08 10:34:46
    11     12    0.0414669873    0.0997652235     6800.7029451855    2.2682049550       21.7899609513     0.0589   2026-09-08 10:34:47
    12     13    0.0345713065    0.0716162081     6799.2973954460    1.4055497395       26.8493932735     0.0594   2026-09-08 10:34:47
    13     14    0.0524671862    0.1271795050     6796.9095116681    2.3878837779       41.5232785398     0.0602   2026-09-08 10:34:47
    14     15    0.0695388040    0.1667373261     6794.1844823363    2.7250293319       39.6572542522     0.0588   2026-09-08 10:34:47
    15     16    0.0495546591    0.1295825863     6792.5060222009    1.6784601354       19.5172617932     0.0574   2026-09-08 10:34:47
    16     17    0.0281546784    0.0440369112     6792.0637472261    0.4422749748        6.0939284717     0.0593   2026-09-08 10:34:47
    17     18    0.0150869066    0.0216272766     6791.9203606489    0.1433865772        6.1752785758     0.0590   2026-09-08 10:34:47
    18     19    0.0158306674    0.0276365476     6791.7234279294    0.1969327195        8.7325329736     0.0585   2026-09-08 10:34:47
    19     20    0.0211697116    0.0542348506     6791.3461490733    0.3772788562       13.4789354637     0.0583   2026-09-08 10:34:47
    20     21    0.0435550129    0.0884823717     6790.8478433147    0.4983057585       13.6804319337     0.0603   2026-09-08 10:34:47
    21     22    0.0514217681    0.0931979334     6790.4553090177    0.3925342970        7.5577746229     0.0591   2026-09-08 10:34:47
    22     23    0.0316149675    0.0562347528     6790.2647061919    0.1906028258        7.5854920538     0.0589   2026-09-08 10:34:47
    23     24    0.0183478614    0.0335597520     6790.1363356938    0.1283704981        6.6032935712     0.0592   2026-09-08 10:34:47
    24     25    0.0283618675    0.0517950760     6789.9096884832    0.2266472106        8.3398669740     0.0594   2026-09-08 10:34:47
    25     26    0.0515944378    0.0976131301     6789.4943268298    0.4153616535       12.6052314212     0.0604   2026-09-08 10:34:47
    26     27    0.0736159835    0.1505450295     6788.9320662185    0.5622606112       12.7761052240     0.0601   2026-09-08 10:34:47
    27     28    0.0593852420    0.1395393225     6788.4871815529    0.4448846656        7.1041001878     0.0604   2026-09-08 10:34:47
    28     29    0.0303474011    0.0719710450     6788.2478455697    0.2393359832        7.0959070791     0.0597   2026-09-08 10:34:48
    29     30    0.0221908865    0.0460260270     6788.0448893102    0.2029562595        5.7465321050     0.0582   2026-09-08 10:34:48
    30     31    0.0298334794    0.0749571034     6787.6910369913    0.3538523189       10.9400684258     0.0585   2026-09-08 10:34:48
    31     32    0.0496021611    0.1545258505     6787.0613954314    0.6296415599       15.4849765403     0.0580   2026-09-08 10:34:48
    32     33    0.0904934458    0.2502809242     6786.2462284793    0.8151669521       14.4917412663     0.0577   2026-09-08 10:34:48
    33     34    0.0935656958    0.2326002816     6785.6362859588    0.6099425205        7.5809750205     0.0588   2026-09-08 10:34:48
    34     35    0.0488148334    0.1142701470     6785.3410905705    0.2951953882        6.2566859530     0.0724   2026-09-08 10:34:48
    35     36    0.0235841914    0.0613145883     6785.1251395345    0.2159510360        5.7679015345     0.0607   2026-09-08 10:34:48
    36     37    0.0325554600    0.1015802516     6784.7299933966    0.3951461380       11.1945861741     0.0611   2026-09-08 10:34:48
    37     38    0.0620918622    0.1924811833     6784.0491876246    0.6808057719       15.2021844840     0.0594   2026-09-08 10:34:48
    38     39    0.0842936801    0.2684165809     6783.2490536967    0.8001339279       13.3143321537     0.0589   2026-09-08 10:34:48
    39     40    0.0582007653    0.1865401894     6782.7690210320    0.4800326647        5.5810981802     0.0584   2026-09-08 10:34:48
    40     41    0.0241990355    0.0526034144     6782.6035698747    0.1654511573        5.4042309493     0.0601   2026-09-08 10:34:48
    41     42    0.0099475491    0.0207545005     6782.5132007439    0.0903691308        4.7470153334     0.0583   2026-09-08 10:34:48
    42     43    0.0119240276    0.0288102941     6782.3695291412    0.1436716027        5.5623427855     0.0593   2026-09-08 10:34:48
    43     44    0.0220785238    0.0556738018     6782.1739377170    0.1955914243        6.1208447338     0.0587   2026-09-08 10:34:48
    44     45    0.0287605739    0.0765926427     6782.0182831855    0.1556545314        3.7459811097     0.0581   2026-09-08 10:34:48
    45     46    0.0194630098    0.0503658192     6781.9556136303    0.0626695553        3.1990235180     0.0588   2026-09-08 10:34:49
    46     47    0.0079951792    0.0203650268     6781.9301206984    0.0254929318        2.6191162070     0.0579   2026-09-08 10:34:49
    47     48    0.0077940912    0.0186803206     6781.8981332616    0.0319874368        2.2698144088     0.0587   2026-09-08 10:34:49
    48     49    0.0119843543    0.0282043993     6781.8433270430    0.0548062186        2.9582581676     0.0586   2026-09-08 10:34:49
    49     50    0.0168836842    0.0333186765     6781.7831036905    0.0602233525        2.6686507423     0.0587   2026-09-08 10:34:49
    50     51    0.0160035911    0.0243000246     6781.7479824899    0.0351212006        2.0297585152     0.0596   2026-09-08 10:34:49
    51     52    0.0070046052    0.0111497471     6781.7354160465    0.0125664434        1.6937095026     0.0607   2026-09-08 10:34:49
    52     53    0.0038322763    0.0068667597     6781.7268620208    0.0085540257        1.3393731873     0.0593   2026-09-08 10:34:49
    53     54    0.0063944080    0.0101398077     6781.7120070415    0.0148549793        1.3921472673     0.0594   2026-09-08 10:34:49
    54     55    0.0095154512    0.0160261708     6781.6919309541    0.0200760874        1.6054711203     0.0593   2026-09-08 10:34:49
    55     56    0.0085116968    0.0191511375     6781.6759624611    0.0159684929        1.0546708579     0.0582   2026-09-08 10:34:49
    56     57    0.0052118670    0.0118797373     6781.6697886533    0.0061738079        0.8483046512     0.0587   2026-09-08 10:34:49
    57     58    0.0019128683    0.0046509223     6781.6675669376    0.0022217156        0.6426574407     0.0589   2026-09-08 10:34:49
    58     59    0.0019532990    0.0039318022     6781.6650454436    0.0025214941        0.6061214965     0.0578   2026-09-08 10:34:49
    59     60    0.0028444506    0.0058912761     6781.6609711657    0.0040742778        0.6381400203     0.0585   2026-09-08 10:34:49
    60     61    0.0038086284    0.0071343232     6781.6571053270    0.0038658388        0.5145193376     0.0614   2026-09-08 10:34:49
    61     62    0.0030814861    0.0053777757     6781.6553027580    0.0018025690        0.3064938400     0.0604   2026-09-08 10:34:50
    62     63    0.0010016943    0.0022168020     6781.6548349516    0.0004678064        0.2780788327     0.0595   2026-09-08 10:34:50
    63     64    0.0005871291    0.0011234646     6781.6545638471    0.0002711045        0.2435773275     0.0581   2026-09-08 10:34:50
    64     65    0.0007235923    0.0017034558     6781.6540775323    0.0004863147        0.2063746253     0.0587   2026-09-08 10:34:50
    65     66    0.0010251144    0.0022859611     6781.6535100572    0.0005674751        0.2095229364     0.0587   2026-09-08 10:34:50
    66     67    0.0009301295    0.0022630561     6781.6531472172    0.0003628400        0.1343906878     0.0603   2026-09-08 10:34:50
    67     68    0.0005127148    0.0011341017     6781.6530487244    0.0000984928        0.0755620949     0.0593   2026-09-08 10:34:50
    68     69    0.0002297899    0.0003927793     6781.6530218351    0.0000268893        0.0700818559     0.0603   2026-09-08 10:34:50
    69     70    0.0001997613    0.0003934515     6781.6529875852    0.0000342499        0.0628306943     0.0593   2026-09-08 10:34:50
    70     71    0.0003403191    0.0006950188     6781.6529245722    0.0000630130        0.0732683657     0.0587   2026-09-08 10:34:50
    71     72    0.0004703071    0.0009701327     6781.6528536438    0.0000709284        0.0831286715     0.0592   2026-09-08 10:34:50
    72     73    0.0004590493    0.0008238976     6781.6528131310    0.0000405128        0.0507672158     0.0585   2026-09-08 10:34:50
    73     74    0.0001733417    0.0003417058     6781.6528027187    0.0000104123        0.0311664053     0.0583   2026-09-08 10:34:50
    74     75    0.0000766050    0.0001226259     6781.6527993397    0.0000033790        0.0269997813     0.0590   2026-09-08 10:34:50
    75     76    0.0000800800    0.0001492240     6781.6527943547    0.0000049850        0.0225329391     0.0581   2026-09-08 10:34:50
    76     77    0.0000908814    0.0002348457     6781.6527868869    0.0000074678        0.0222014974     0.0594   2026-09-08 10:34:50
    77     78    0.0001247297    0.0002849265     6781.6527804702    0.0000064167        0.0218509044     0.0582   2026-09-08 10:34:50
    78     79    0.0000918142    0.0001861814     6781.6527780779    0.0000023922        0.0113866895     0.0583   2026-09-08 10:34:51
    79     80    0.0000353872    0.0000617698     6781.6527776468    0.0000004312        0.0073976956     0.0589   2026-09-08 10:34:51
    80     81    0.0000162844    0.0000251116     6781.6527774614    0.0000001853        0.0072300331     0.0583   2026-09-08 10:34:51
    81     82    0.0000251534    0.0000461665     6781.6527770691    0.0000003923        0.0066063916     0.0586   2026-09-08 10:34:51
    82     83    0.0000354749    0.0000689016     6781.6527765423    0.0000005269        0.0067631137     0.0588   2026-09-08 10:34:51
    83     84    0.0000468748    0.0000819285     6781.6527760806    0.0000004617        0.0073968240     0.0587   2026-09-08 10:34:51
    84     85    0.0000277370    0.0000514417     6781.6527758793    0.0000002013        0.0055668219     0.0589   2026-09-08 10:34:51
    85     86    0.0000126653    0.0000241455     6781.6527757908    0.0000000885        0.0057494038     0.0590   2026-09-08 10:34:51
    86     87    0.0000130068    0.0000238740     6781.6527756864    0.0000001044        0.0049931308     0.0583   2026-09-08 10:34:51
    87     88    0.0000199183    0.0000380397     6781.6527755240    0.0000001623        0.0039837557     0.0584   2026-09-08 10:34:51
    88     89    0.0000233555    0.0000452264     6781.6527753750    0.0000001490        0.0028523110     0.0583   2026-09-08 10:34:51
    89     90    0.0000136951    0.0000297827     6781.6527753115    0.0000000635        0.0017162448     0.0588   2026-09-08 10:34:51

<a href = "matlab: helpview('optim','local_min_unconstrained','CSHelpWindow');">Local minimum found</a>.

Optimization completed because the <a href = "matlab: helpview('optim','grad_size','CSHelpWindow');">size of the gradient</a> is less than
the value of the <a href = "matlab: helpview('optim','optimality_tolerance_unc','CSHelpWindow');">optimality tolerance</a>.

<<a href = "matlab: createExitMsg({'optim:fminusub:Exit1basic'},{'optim:fminusub:Exit1detailed','7.057059e-07','1.000000e-06'},true,true);;">stopping criteria details</a>>

__________________________________________________________________________________________________________________

<strong>MNL </strong><strong>in preference-space, weighted by choice task
</strong>                                                     
var.                    coef.    st.err.  p-value   
Tatrzanski             1.3348***  0.1275   0.0000   
Babiogorski           -1.2702***  0.1928   0.0000   
Bialowieski           -0.2911*    0.1542   0.0591   
Biebrzanski           -0.8959***  0.1673   0.0000   
Bieszczadzki           1.0637***  0.1398   0.0000   
BoryTucholskie         0.0030     0.1310   0.9817   
Drawienski            -1.6698***  0.2011   0.0000   
Gorczanski            -1.7497***  0.2436   0.0000   
GorStolowych          -0.0813     0.1427   0.5690   
Kampinoski            -0.7025***  0.1416   0.0000   
Karkonoski             0.3662***  0.1329   0.0058   
Magurski              -1.1320***  0.1976   0.0000   
Narwianski            -1.4180***  0.1921   0.0000   
Ojcowski              -0.1235     0.1365   0.3657   
Pieninski             -0.0552     0.1490   0.7110   
Poleski               -1.6452***  0.2096   0.0000   
Roztoczanski          -0.5991***  0.1587   0.0002   
Slowinski             -0.2786*    0.1494   0.0622   
Swietokrzyski         -0.1806     0.1360   0.1840   
UjscieWarty           -1.0427***  0.1754   0.0000   
Wielkopolski          -0.6613***  0.1398   0.0000   
Wigierski             -0.9050***  0.1832   0.0000   
-TC/100                1.2897***  0.0284   0.0000   
 
<strong>Model diagnostics: 
</strong>LL at convergence:             -6781.6528
LL at constant(s) only:        -8153.6184
McFadden's pseudo-R²:              0.1683
Ben-Akiva-Lerman's pseudo-R²:      0.0190
AIC/n:                             0.2094
BIC/n:                             0.2126
n (observations):              64998
r (respondents):                2826
k (parameters):                   23
 
Estimation method      weighted maximum likelihood (choice-task weights)
Optimization method    quasi-newton
Gradient               user-supplied, analytical
Hessian                retained from optimization
 
 
Estimation completed on Tuesday, 2026-09-08 at 10:34:57
Estimation took 3.5727 seconds (0 hours 0 minutes 3.5727 seconds).
 
__________________________________________________________________________________________________________________
 
Estimating Negative Binomial (NB2) regression model ...
without truncation
without censoring.
Using linear regression estimates as starting values
Initial values: [-0.28 0.00029 0.3 0.09 0.15 0.0021 0.4 0.66 0.51 0]

Opmization algorithm: <strong>quasi-newton
</strong>Gradient: <strong>user-supplied, analytical 
</strong>Hessian: <strong>off, </strong><strong>retained from optimization 
</strong>
 Iter.  Eval.         max|dB|            Step                f(x)         df prev          Opt. Cond.   Iter sec             Date/time
     0      1             NaN             NaN    12045.8900865812             NaN   135725.0462074778     0.0000   2026-09-08 10:34:57
     1      4    0.0106571365    0.0106617455    11705.7271430367  340.1629435445    60965.9140495511     0.0039   2026-09-08 10:34:57
     2      5    0.0033014870    0.0033022085    11590.7226563562  115.0044866804     7418.5520749902     0.0013   2026-09-08 10:34:57
     3      6    0.0004593481    0.0004728263    11588.9307883379    1.7918680183     1780.8044070822     0.0015   2026-09-08 10:34:57
     4      9    0.0092137698    0.0102633967    11571.2761186594   17.6546696785     9383.4124224043     0.0023   2026-09-08 10:34:57
     5     10    0.0538656926    0.0599225967    11484.6012764531   86.6748422063    30815.0474984921     0.0011   2026-09-08 10:34:57
     6     11    0.1783632599    0.1983784155    11250.3685686355  234.2327078176    56425.5125653177     0.0015   2026-09-08 10:34:57
     7     12    0.3424408602    0.3808413836    10906.9285477495  343.4400208859    61475.8508644760     0.0027   2026-09-08 10:34:57
     8     13    0.3643308751    0.4051716322    10673.1995464653  233.7290012842    48277.3499020802     0.0012   2026-09-08 10:34:57
     9     14    0.1720076409    0.1912868072    10584.5024375089   88.6971089564    35746.8859996990     0.0013   2026-09-08 10:34:57
    10     15    0.0739410069    0.0822585980    10514.0628074011   70.4396301079    19591.7645891545     0.0013   2026-09-08 10:34:57
    11     16    0.0316507498    0.0353428837    10480.5919809112   33.4708264899      184.3295309163     0.0012   2026-09-08 10:34:57
    12     17    0.0331711036    0.0368938624    10478.8856626310    1.7063182802      667.5591618973     0.0011   2026-09-08 10:34:57
    13     18    0.0192662169    0.0214324868    10478.5898382466    0.2958243843      143.9337478780     0.0010   2026-09-08 10:34:57
    14     19    0.0002318733    0.0002541276    10478.5863976783    0.0034405683      143.2226124402     0.0012   2026-09-08 10:34:57
    15     20    0.0005161387    0.0005568700    10478.5761429473    0.0102547310      189.9005227460     0.0012   2026-09-08 10:34:57
    16     21    0.0009171897    0.0009692631    10478.5470891337    0.0290538136      504.9624622594     0.0010   2026-09-08 10:34:57
    17     22    0.0014871817    0.0015550102    10478.4733890147    0.0737001190      997.5264149492     0.0009   2026-09-08 10:34:57
    18     23    0.0025508481    0.0027559600    10478.2793942561    0.1939947586     1796.5961505013     0.0008   2026-09-08 10:34:57
    19     24    0.0043645748    0.0053501412    10477.7816363654    0.4977578907     3050.0109452192     0.0010   2026-09-08 10:34:57
    20     25    0.0075389908    0.0117167969    10476.5299144206    1.2517219448     4938.8456377618     0.0012   2026-09-08 10:34:57
    21     26    0.0159675811    0.0265656347    10473.5962739013    2.9336405194     7434.1883191714     0.0012   2026-09-08 10:34:57
    22     27    0.0345966706    0.0543477806    10467.7955232205    5.8007506808     9638.1962186358     0.0013   2026-09-08 10:34:57
    23     28    0.0523816948    0.0802206362    10459.9032186699    7.8923045506     9213.8612833285     0.0011   2026-09-08 10:34:57
    24     29    0.0408874433    0.0622775614    10454.0783611387    5.8248575312     5231.2180963325     0.0010   2026-09-08 10:34:57
    25     30    0.0086461822    0.0164868736    10452.1948314289    1.8835297098     1231.3079861262     0.0010   2026-09-08 10:34:57
    26     31    0.0056941765    0.0083383434    10452.0282838924    0.1665475364       47.9810131548     0.0012   2026-09-08 10:34:57
    27     32    0.0016172122    0.0026596931    10452.0236438259    0.0046400666       47.7133980433     0.0012   2026-09-08 10:34:57
    28     33    0.0002737475    0.0004349939    10452.0232944371    0.0003493888       47.7143101298     0.0009   2026-09-08 10:34:57
    29     34    0.0003183701    0.0005064335    10452.0226314543    0.0006629828       47.7206311405     0.0009   2026-09-08 10:34:57
    30     35    0.0005428076    0.0008702290    10452.0207792927    0.0018521616       47.8907385341     0.0009   2026-09-08 10:34:57
    31     36    0.0008347547    0.0013584381    10452.0160496409    0.0047296518      101.0782136213     0.0008   2026-09-08 10:34:57
    32     37    0.0013089630    0.0021928702    10452.0035577181    0.0124919228      187.9742733733     0.0008   2026-09-08 10:34:57
    33     38    0.0019611497    0.0034919753    10451.9710493485    0.0325083696      327.6408846563     0.0007   2026-09-08 10:34:57
    34     39    0.0027736127    0.0056743990    10451.8864120508    0.0846372978      551.7518995563     0.0008   2026-09-08 10:34:57
    35     40    0.0052939406    0.0097228094    10451.6691785763    0.2172334744      903.5287009837     0.0007   2026-09-08 10:34:57
    36     41    0.0112247356    0.0186214624    10451.1290854764    0.5400930999     1425.9923604353     0.0009   2026-09-08 10:34:57
    37     42    0.0280577197    0.0389779770    10449.8935507571    1.2355347193     2086.1128433749     0.0009   2026-09-08 10:34:57
    38     43    0.0573916806    0.0759535369    10447.5750299935    2.3185207636     2562.5307253517     0.0009   2026-09-08 10:34:57
    39     44    0.0786159827    0.1060670368    10444.7216839974    2.8533459961     2164.7718891671     0.0009   2026-09-08 10:34:57
    40     45    0.0493824290    0.0747037762    10443.0681934924    1.6534905050      936.8358509737     0.0009   2026-09-08 10:34:57
    41     46    0.0126272800    0.0200585506    10442.7386583758    0.3295351166      148.9314115666     0.0008   2026-09-08 10:34:57
    42     47    0.0057731455    0.0082799980    10442.7172723663    0.0213860095        6.0123497074     0.0007   2026-09-08 10:34:57
    43     48    0.0015699431    0.0020628343    10442.7167514805    0.0005208858        5.8127018485     0.0007   2026-09-08 10:34:57
    44     49    0.0001376207    0.0001908727    10442.7167391244    0.0000123561        5.7930917584     0.0007   2026-09-08 10:34:57
    45     50    0.0001106463    0.0001557375    10442.7167225491    0.0000165754        5.7772665617     0.0007   2026-09-08 10:34:57
    46     51    0.0002214758    0.0003120302    10442.7166691848    0.0000533642        7.5269389499     0.0007   2026-09-08 10:34:57
    47     52    0.0003299385    0.0004652210    10442.7165394618    0.0001297231       15.3419481133     0.0008   2026-09-08 10:34:57
    48     53    0.0005465379    0.0007720693    10442.7161901229    0.0003493389       28.3692855745     0.0007   2026-09-08 10:34:57
    49     54    0.0008627018    0.0012248459    10442.7152873672    0.0009027557       49.1411741687     0.0008   2026-09-08 10:34:57
    50     55    0.0013670816    0.0019674929    10442.7129270852    0.0023602820       82.6104282090     0.0008   2026-09-08 10:34:57
    51     56    0.0020963472    0.0031318014    10442.7068479691    0.0060791161      135.3974816436     0.0007   2026-09-08 10:34:57
    52     57    0.0030252130    0.0050150849    10442.6915278166    0.0153201525      215.4842848706     0.0008   2026-09-08 10:34:57
    53     58    0.0044916348    0.0082029527    10442.6552492072    0.0362786094      323.8325590484     0.0008   2026-09-08 10:34:57
    54     59    0.0073050145    0.0137750654    10442.5813080734    0.0739411338      427.2347499561     0.0008   2026-09-08 10:34:57
    55     60    0.0096650720    0.0210152103    10442.4734148325    0.1078932409      422.9530828184     0.0009   2026-09-08 10:34:57
    56     61    0.0108966483    0.0218394637    10442.3888744415    0.0845403910      243.0656583488     0.0007   2026-09-08 10:34:57
    57     62    0.0082299210    0.0119582774    10442.3626286930    0.0262457485       58.7237185910     0.0008   2026-09-08 10:34:57
    58     63    0.0021144918    0.0037366040    10442.3600371478    0.0025915452        4.9755769505     0.0008   2026-09-08 10:34:57
    59     64    0.0003933127    0.0007945603    10442.3599586157    0.0000785321        4.8557462545     0.0007   2026-09-08 10:34:57
    60     65    0.0000505991    0.0001022777    10442.3599539584    0.0000046573        4.8423156054     0.0007   2026-09-08 10:34:57
    61     66    0.0001036984    0.0002087704    10442.3599391316    0.0000148268        4.8152579924     0.0008   2026-09-08 10:34:57
    62     67    0.0001468840    0.0002967132    10442.3599045488    0.0000345828        4.7762344588     0.0007   2026-09-08 10:34:57
    63     68    0.0002449011    0.0004978939    10442.3598098110    0.0000947378        5.1361775301     0.0007   2026-09-08 10:34:57
    64     69    0.0003784981    0.0007758512    10442.3595662013    0.0002436097        9.3834341762     0.0007   2026-09-08 10:34:57
    65     70    0.0006325697    0.0012249737    10442.3589255956    0.0006406057       16.2811062328     0.0008   2026-09-08 10:34:57
    66     71    0.0010582341    0.0018798052    10442.3572622926    0.0016633030       27.3111714713     0.0008   2026-09-08 10:34:57
    67     72    0.0017943117    0.0028246070    10442.3529691391    0.0042931534       44.7405833291     0.0010   2026-09-08 10:34:57
    68     73    0.0030338566    0.0042047627    10442.3421699856    0.0107991535       71.1154835121     0.0009   2026-09-08 10:34:57
    69     74    0.0049244774    0.0069322841    10442.3166328901    0.0255370955      106.7089476255     0.0008   2026-09-08 10:34:57
    70     75    0.0082170297    0.0138999501    10442.2647733314    0.0518595587      140.4552295620     0.0008   2026-09-08 10:34:57
    71     76    0.0173123870    0.0254538536    10442.1896198335    0.0751534979      138.5551022049     0.0007   2026-09-08 10:34:57
    72     77    0.0189393289    0.0281877973    10442.1315627459    0.0580570876       78.8539535494     0.0007   2026-09-08 10:34:57
    73     78    0.0074239095    0.0134831929    10442.1138865920    0.0176761539       18.2714226621     0.0007   2026-09-08 10:34:57
    74     79    0.0022211359    0.0030006511    10442.1121635591    0.0017230328        3.4455938116     0.0007   2026-09-08 10:34:57
    75     80    0.0005419197    0.0008366029    10442.1121144129    0.0000491462        3.4515158810     0.0007   2026-09-08 10:34:57
    76     81    0.0000767470    0.0001122852    10442.1121121189    0.0000022940        3.4528904402     0.0007   2026-09-08 10:34:57
    77     82    0.0001460785    0.0002148636    10442.1121052814    0.0000068375        3.4555658014     0.0007   2026-09-08 10:34:57
    78     83    0.0002113076    0.0003128798    10442.1120889897    0.0000162917        3.4594375638     0.0008   2026-09-08 10:34:57
    79     84    0.0003483653    0.0005214049    10442.1120447436    0.0000442461        3.4658094777     0.0007   2026-09-08 10:34:57
    80     85    0.0005365938    0.0008181512    10442.1119305814    0.0001141621        3.8318773119     0.0009   2026-09-08 10:34:57
    81     86    0.0008228299    0.0012964886    10442.1116306055    0.0002999760        6.6189696158     0.0008   2026-09-08 10:34:57
    82     87    0.0011935656    0.0020016539    10442.1108503185    0.0007802870       11.0868720373     0.0018   2026-09-08 10:34:57
    83     88    0.0017408906    0.0030043191    10442.1088294444    0.0020208741       18.1856061246     0.0008   2026-09-08 10:34:57
    84     89    0.0026469657    0.0042895045    10442.1036976152    0.0051318291       29.0998662727     0.0008   2026-09-08 10:34:57
    85     90    0.0036586948    0.0059426892    10442.0912686033    0.0124290119       44.5079391790     0.0008   2026-09-08 10:34:57
    86     91    0.0058945545    0.0099178341    10442.0645314160    0.0267371873       61.4685722804     0.0008   2026-09-08 10:34:57
    87     92    0.0181041511    0.0205291382    10442.0206127853    0.0439186308       67.4899255773     0.0008   2026-09-08 10:34:57
    88     93    0.0277471248    0.0305395329    10441.9779372212    0.0426755641       46.9018384429     0.0008   2026-09-08 10:34:57
    89     94    0.0181065198    0.0218522772    10441.9599611260    0.0179760952       14.9039775092     0.0007   2026-09-08 10:34:57
    90     95    0.0033781525    0.0056786952    10441.9574702589    0.0024908671        3.1741867472     0.0007   2026-09-08 10:34:57
    91     96    0.0008378488    0.0011727313    10441.9573641151    0.0001061438        3.0159272762     0.0008   2026-09-08 10:34:57
    92     97    0.0002193268    0.0002398613    10441.9573608405    0.0000032746        2.9996061810     0.0011   2026-09-08 10:34:57
    93     98    0.0001496730    0.0001639090    10441.9573574077    0.0000034328        2.9895732799     0.0008   2026-09-08 10:34:57
    94     99    0.0003378166    0.0003706901    10441.9573450209    0.0000123868        2.9668569284     0.0007   2026-09-08 10:34:57
    95    100    0.0004799552    0.0005284295    10441.9573159787    0.0000290421        2.9340267754     0.0007   2026-09-08 10:34:57
    96    101    0.0007959571    0.0008812810    10441.9572365682    0.0000794105        2.8780167263     0.0009   2026-09-08 10:34:57
    97    102    0.0012198415    0.0013641602    10441.9570322192    0.0002043490        2.8132099642     0.0010   2026-09-08 10:34:57
    98    103    0.0018639671    0.0021237494    10441.9564949677    0.0005372515        4.7683109694     0.0008   2026-09-08 10:34:57
    99    104    0.0026766991    0.0031701228    10441.9550997578    0.0013952099        7.8947179591     0.0007   2026-09-08 10:34:57
   100    105    0.0034335367    0.0044789733    10441.9514984984    0.0036012594       12.8323333038     0.0008   2026-09-08 10:34:57
   101    106    0.0031184479    0.0057903986    10441.9424416184    0.0090568800       20.2912623426     0.0007   2026-09-08 10:34:57
   102    107    0.0044411613    0.0081233844    10441.9210580585    0.0213835599       30.3005992165     0.0007   2026-09-08 10:34:57
   103    108    0.0152588425    0.0191972921    10441.8778698128    0.0431882457       39.6190170680     0.0007   2026-09-08 10:34:57
   104    109    0.0398710121    0.0416124885    10441.8157213542    0.0621484586       38.8526476317     0.0007   2026-09-08 10:34:57
   105    110    0.0504217444    0.0509244894    10441.7667655478    0.0489558064       22.3583628887     0.0007   2026-09-08 10:34:57
   106    111    0.0257210337    0.0267252551    10441.7511721546    0.0155933932        5.2188261081     0.0008   2026-09-08 10:34:57
   107    112    0.0020614107    0.0041104863    10441.7497061460    0.0014660085        2.0860091218     0.0007   2026-09-08 10:34:57
   108    113    0.0011687740    0.0013150100    10441.7496599079    0.0000462382        2.0649167349     0.0007   2026-09-08 10:34:57
   109    114    0.0002435069    0.0002466718    10441.7496586813    0.0000012265        2.0625099935     0.0007   2026-09-08 10:34:57
   110    115    0.0001394837    0.0001408787    10441.7496575825    0.0000010989        2.0611869378     0.0008   2026-09-08 10:34:57
   111    116    0.0003483615    0.0003518846    10441.7496532294    0.0000043530        2.0577183315     0.0010   2026-09-08 10:34:57
   112    117    0.0004842485    0.0004893717    10441.7496433003    0.0000099292        2.0524560390     0.0008   2026-09-08 10:34:57
   113    118    0.0008219243    0.0008312910    10441.7496158630    0.0000274373        2.0423185857     0.0007   2026-09-08 10:34:57
   114    119    0.0012764164    0.0012928845    10441.7495457002    0.0000701629        2.0234327851     0.0007   2026-09-08 10:34:57
   115    120    0.0020075118    0.0020393152    10441.7493619605    0.0001837396        2.6967118790     0.0007   2026-09-08 10:34:57
   116    121    0.0030016341    0.0030685545    10441.7488920193    0.0004699412        4.3973626365     0.0007   2026-09-08 10:34:57
   117    122    0.0041040874    0.0042666552    10441.7477239710    0.0011680483        6.9132920056     0.0007   2026-09-08 10:34:57
   118    123    0.0042887558    0.0047761604    10441.7450571178    0.0026668532       10.0737163848     0.0007   2026-09-08 10:34:57
   119    124    0.0021160267    0.0034310589    10441.7400702744    0.0049868434       12.3593946989     0.0007   2026-09-08 10:34:57
   120    125    0.0082127215    0.0089777137    10441.7339762023    0.0060940721       10.5453305948     0.0008   2026-09-08 10:34:57
   121    126    0.0140044191    0.0141359107    10441.7303646264    0.0036115759        4.7362822496     0.0007   2026-09-08 10:34:57
   122    127    0.0078009535    0.0078774147    10441.7295643597    0.0008002667        0.7512256154     0.0009   2026-09-08 10:34:57
   123    128    0.0011638530    0.0012703439    10441.7295117720    0.0000525877        0.3212327328     0.0008   2026-09-08 10:34:57
   124    129    0.0000763562    0.0001069204    10441.7295107746    0.0000009974        0.3171260058     0.0007   2026-09-08 10:34:57
   125    130    0.0000226107    0.0000229844    10441.7295107511    0.0000000235        0.3168988137     0.0009   2026-09-08 10:34:57
   126    131    0.0000297138    0.0000301306    10441.7295107037    0.0000000474        0.3166187283     0.0008   2026-09-08 10:34:57
   127    132    0.0000508389    0.0000515516    10441.7295105730    0.0000001307        0.3161158938     0.0007   2026-09-08 10:34:57
   128    133    0.0000803823    0.0000815258    10441.7295102375    0.0000003354        0.3152532988     0.0007   2026-09-08 10:34:57
   129    134    0.0001305365    0.0001324482    10441.7295093538    0.0000008838        0.3136740580     0.0007   2026-09-08 10:34:57
   130    135    0.0002086205    0.0002118590    10441.7295070543    0.0000022995        0.3106828017     0.0007   2026-09-08 10:34:57
   131    136    0.0003310350    0.0003368294    10441.7295010788    0.0000059755        0.4045285230     0.0007   2026-09-08 10:34:57
   132    137    0.0005099750    0.0005213912    10441.7294857870    0.0000152918        0.6566231264     0.0007   2026-09-08 10:34:57
   133    138    0.0007316648    0.0007581677    10441.7294479980    0.0000377890        1.0259197408     0.0007   2026-09-08 10:34:57
   134    139    0.0008589619    0.0009358837    10441.7293626090    0.0000853890        1.4795688102     0.0007   2026-09-08 10:34:57
   135    140    0.0004633047    0.0007825900    10441.7292063847    0.0001562243        1.7797437088     0.0007   2026-09-08 10:34:57
   136    141    0.0008528997    0.0011448568    10441.7290225135    0.0001838712        1.4656615649     0.0008   2026-09-08 10:34:57
   137    142    0.0018593510    0.0019197769    10441.7289204544    0.0001020591        0.6212146060     0.0007   2026-09-08 10:34:57
   138    143    0.0010921936    0.0011083102    10441.7289000556    0.0000203988        0.0923522141     0.0007   2026-09-08 10:34:57

<a href = "matlab: helpview('optim','local_min_unconstrained','CSHelpWindow');">Local minimum found</a>.

Optimization completed because the <a href = "matlab: helpview('optim','grad_size','CSHelpWindow');">size of the gradient</a> is less than
the value of the <a href = "matlab: helpview('optim','optimality_tolerance_unc','CSHelpWindow');">optimality tolerance</a>.

<<a href = "matlab: createExitMsg({'optim:fminusub:Exit1basic'},{'optim:fminusub:Exit1detailed','6.804310e-07','1.000000e-06'},true,true);;">stopping criteria details</a>>

__________________________________________________________________________________________________________________

<strong>Negative Binomial </strong><strong>
</strong>                                                                        
var.                                       coef.       st.err.  p-value   
Constant                                  0.0973        0.0803   0.2256   
Consumer surplus per trip                 0.0004        0.0008   0.6250   
Household income (10k PLN)                0.4526***     0.0786   0.0000   
Male                                      0.1291**      0.0510   0.0114   
Higher education                          0.2169***     0.0586   0.0002   
City                                     -0.0540        0.0522   0.3012   
Winter                                    0.8774***     0.0730   0.0000   
Hiking                                    0.5479***     0.0557   0.0000   
Skiing                                    0.8865***     0.2496   0.0004   
 
                                                                        
                                      Overdispersion parameters         
var.                                       coef.       st.err.            
ln alpha                                  1.1426        0.0269            
 
                                                                        
                                      Consumer Surplus                  
var.                                       coef.       st.err.  p-value   
-1/(Consumer surplus per trip)        -2509.4910     5133.5098   0.6250   
 
<strong>Model diagnostics: 
</strong>LL at convergence:             -10441.7289
LL at constant(s) only:        -10645.7640
McFadden's pseudo-R²:               0.0192
AIC/n:                              3.5702
BIC/n:                              3.5816
n (observations):                5855
r (respondents):                 5855
k (parameters):                    10
 
Estimation method      maximum likelihood
Optimization method    quasi-newton
Gradient               user-supplied, analytical
Hessian                off, retained from optimization
                       
Descriptive statistics 
var                                   Y Consumer surplus per trip
mean                             2.3286         60.2595
median                           0.0000         58.0178
std                              9.9300         31.3223
min                              0.0000        -36.6046
max                            324.0000        145.2239
quantile 0.025                   0.0000          2.0701
quantile 0.975                  13.0000        121.5202
 
 
Estimation completed on Tuesday, 2026-09-08 at 10:34:58
Estimation took 0.22151 seconds (0 hours 0 minutes 0.22151 seconds).
     <strong>Specification</strong>      <strong>CS_per_trip</strong>    <strong>CS_per_trip_se</strong>    <strong>LL_count</strong>
    <strong>________________</strong>    <strong>___________</strong>    <strong>______________</strong>    <strong>________</strong>
    {'all_TC_0'    }      350.06            140.12        -10439 
    {'all_TC_33'   }      351.65            125.46        -10438 
    {'all_TC_100'  }      383.15            118.44        -10437 
    {'all_TC_MNL'  }      353.15             107.8        -10436 
    {'all_TC_MXL'  }      -13242          1.42e+05        -10442 
    {'all_TC_MXL_d'}      2509.5            5133.5        -10442 
Saved C:\Users\Katarzyna\Desktop\TPN_substitutes\coding\replication package (2)\replication package\linked_results\Summary_all.csv

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4 of 4: run_simulation
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Replication 1 of 1000
