DCE screen output is being saved to: C:\Users\Katarzyna\Desktop\TPN_substitutes\coding\replication package (2)\replication package\linked_results\linked_mt_20260908_102807.txt
 
__________________________________________________________________________________________________________________
 
Estimating <strong>choice-task weighted </strong>MNL model ...
in preference-space ...
total weight:                    1922.0000
choice tasks:                        17298
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     4241.2735054048             NaN      486.8108408710     0.0005   2026-09-08 10:28:08
     1      2    1.0000000000    1.4133148166     3590.8817268229  650.3917785819      189.1955071666     0.0068   2026-09-08 10:28:08
     2      3    0.8040966977    1.2526722122     3397.6695253004  193.2122015225       95.7232042618     0.0051   2026-09-08 10:28:08
     3      4    0.3560060285    0.5300103581     3353.1270931109   44.5424321895       28.3381554678     0.0055   2026-09-08 10:28:08
     4      5    0.1926850479    0.3190705496     3343.7042595457    9.4228335652       16.2483553161     0.0095   2026-09-08 10:28:08
     5      6    0.0910831047    0.1425249004     3341.0121095165    2.6921500291       15.5957478546     0.0053   2026-09-08 10:28:08
     6      7    0.1179259175    0.1688753718     3339.3413861750    1.6707233415        6.5766254690     0.0050   2026-09-08 10:28:08
     7      8    0.0405162759    0.0473593365     3339.0184956666    0.3228905084        6.4510671097     0.0048   2026-09-08 10:28:08
     8      9    0.1192841823    0.1400214464     3338.3335902977    0.6849053690        4.5796914883     0.0049   2026-09-08 10:28:08
     9     10    0.0739627038    0.0915905293     3338.0168994430    0.3166908546        5.3581988298     0.0048   2026-09-08 10:28:08
    10     11    0.0603322964    0.0836577893     3337.7949916305    0.2219078125        3.5633787655     0.0051   2026-09-08 10:28:08
    11     12    0.0209840820    0.0374603665     3337.7117477571    0.0832438734        1.9013925981     0.0050   2026-09-08 10:28:08
    12     13    0.0143925890    0.0235818334     3337.6685847633    0.0431629938        1.6576011827     0.0048   2026-09-08 10:28:08
    13     14    0.0111873017    0.0178852459     3337.6441720552    0.0244127080        1.2157711648     0.0049   2026-09-08 10:28:08
    14     15    0.0135819236    0.0189004462     3337.6245011279    0.0196709273        1.0415815996     0.0049   2026-09-08 10:28:08
    15     16    0.0127568120    0.0179527488     3337.6107357953    0.0137653326        0.9136177267     0.0047   2026-09-08 10:28:08
    16     17    0.0062121092    0.0106482877     3337.6050630578    0.0056727375        0.3908263287     0.0042   2026-09-08 10:28:08
    17     18    0.0024912527    0.0033561062     3337.6038858011    0.0011772568        0.1628464738     0.0040   2026-09-08 10:28:08
    18     19    0.0007956887    0.0013272475     3337.6036531772    0.0002326239        0.1351532689     0.0050   2026-09-08 10:28:08
    19     20    0.0007664305    0.0011921584     3337.6035151602    0.0001380170        0.0978075722     0.0049   2026-09-08 10:28:08
    20     21    0.0011677210    0.0014578166     3337.6033995741    0.0001155861        0.0617778532     0.0054   2026-09-08 10:28:08
    21     22    0.0008247523    0.0009440796     3337.6033538644    0.0000457098        0.0408891329     0.0051   2026-09-08 10:28:08
    22     23    0.0002005437    0.0003006358     3337.6033463535    0.0000075108        0.0107776552     0.0046   2026-09-08 10:28:08
    23     24    0.0000404970    0.0000713586     3337.6033459318    0.0000004217        0.0012548112     0.0055   2026-09-08 10:28:08
    24     25    0.0000103247    0.0000145326     3337.6033459200    0.0000000118        0.0003094309     0.0053   2026-09-08 10:28:08

<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','6.343256e-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           1.4678***  0.0838   0.0000   
Babiogorski         -1.1297***  0.1490   0.0000   
Bieszczadzki         1.1153***  0.0993   0.0000   
Gorczanski          -1.6331***  0.1973   0.0000   
GorStolowych         0.0036     0.1004   0.9713   
Karkonoski           0.4332***  0.0915   0.0000   
Magurski            -1.1266***  0.1601   0.0000   
Pieninski            0.0940     0.1053   0.3724   
-TC/100              1.3304***  0.0579   0.0000   
 
<strong>Model diagnostics: 
</strong>LL at convergence:             -3337.6033
LL at constant(s) only:        -3664.0177
McFadden's pseudo-R²:              0.0891
Ben-Akiva-Lerman's pseudo-R²:      0.0648
AIC/n:                             0.3869
BIC/n:                             0.3910
n (observations):              17298
r (respondents):                1922
k (parameters):                    9
 
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 10:28:09
Estimation took 0.15046 seconds (0 hours 0 minutes 0.15046 seconds).
 
__________________________________________________________________________________________________________________
 
Estimating Negative Binomial (NB2) regression model ...
without truncation
without censoring.
Using linear regression estimates as starting values
Initial values: [-0.56 0.0028 0.14 0.045 0.086 -0.016 0.34 0.57 0.36 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     7873.7048133749             NaN    81022.0545907329     0.0001   2026-09-08 10:28:09
     1      5    0.0048843931    0.0048849590     7679.1135562481  194.5912571268      934.5633245912     0.0036   2026-09-08 10:28:09
     2      9    0.0461783056    0.0548141721     7628.0144964211   51.0990598270    15341.2414124721     0.0039   2026-09-08 10:28:09
     3     10    0.2071773697    0.2458785840     7450.0920713543  177.9224250668    35267.9157530190     0.0008   2026-09-08 10:28:09
     4     11    0.3444150102    0.4087256074     7251.3754807139  198.7165906404    33184.6050516811     0.0008   2026-09-08 10:28:09
     5     12    0.2219054856    0.2633168457     7178.6410019961   72.7344787178    19564.3730483178     0.0008   2026-09-08 10:28:09
     6     13    0.0710185857    0.0842489861     7161.4583605727   17.1826414233     8970.1965773113     0.0008   2026-09-08 10:28:09
     7     14    0.0037553064    0.0044819891     7157.1454727270    4.3128878457     2138.7195992636     0.0008   2026-09-08 10:28:09
     8     15    0.0123866512    0.0147386815     7156.6504595330    0.4950131940      382.4903761362     0.0008   2026-09-08 10:28:09
     9     16    0.0052459626    0.0062565786     7156.5869817764    0.0634777566      377.5186353798     0.0011   2026-09-08 10:28:09
    10     17    0.0068842317    0.0082580131     7156.4775176478    0.1094641286      382.2562674022     0.0010   2026-09-08 10:28:09
    11     18    0.0095477320    0.0115802653     7156.2290857958    0.2484318520      492.0659826545     0.0012   2026-09-08 10:28:09
    12     19    0.0154442785    0.0191038516     7155.5557834188    0.6733023770      652.3290528401     0.0011   2026-09-08 10:28:09
    13     20    0.0227457407    0.0292199113     7153.8319091313    1.7238742876      893.0022588630     0.0010   2026-09-08 10:28:09
    14     21    0.0315533762    0.0439686495     7149.3893336167    4.4425755145     1256.0379232083     0.0011   2026-09-08 10:28:09
    15     22    0.0349367143    0.0608648948     7138.4379246515   10.9514089652     1734.8098423983     0.0011   2026-09-08 10:28:09
    16     23    0.0471632013    0.0775739753     7113.5084021128   24.9295225387     2144.2940848368     0.0010   2026-09-08 10:28:09
    17     24    0.0706759148    0.1237094751     7065.8448928517   47.6635092611     2015.4038865257     0.0009   2026-09-08 10:28:09
    18     25    0.2123104554    0.2374433470     7007.4348774468   58.4100154048     1330.3990746564     0.0011   2026-09-08 10:28:09
    19     26    0.1858312170    0.1975395801     6986.8318925234   20.6029849235      859.9851693694     0.0010   2026-09-08 10:28:09
    20     27    0.0351191936    0.0436875015     6985.0324284361    1.7994640873      506.7516109763     0.0011   2026-09-08 10:28:09
    21     28    0.0100595147    0.0165370906     6984.7107541998    0.3216742363      163.3480752594     0.0011   2026-09-08 10:28:09
    22     29    0.0026112445    0.0038023454     6984.6986968747    0.0120573251       46.7304243132     0.0010   2026-09-08 10:28:09
    23     30    0.0005694920    0.0006045937     6984.6980850240    0.0006118507       46.8434536737     0.0014   2026-09-08 10:28:09
    24     31    0.0004422146    0.0004692988     6984.6973346067    0.0007504173       46.9296031540     0.0012   2026-09-08 10:28:09
    25     32    0.0005792101    0.0006144119     6984.6955746628    0.0017599439       87.2941833378     0.0011   2026-09-08 10:28:09
    26     33    0.0008785848    0.0009244595     6984.6910230415    0.0045516213      184.1124536541     0.0011   2026-09-08 10:28:09
    27     34    0.0013914015    0.0014461777     6984.6791614533    0.0118615882      341.8948607879     0.0012   2026-09-08 10:28:09
    28     35    0.0022610305    0.0023371075     6984.6481196231    0.0310418302      598.4262124052     0.0009   2026-09-08 10:28:09
    29     36    0.0037213158    0.0039651118     6984.5670898262    0.0810297969     1013.1295069144     0.0008   2026-09-08 10:28:09
    30     37    0.0061802139    0.0074231742     6984.3567505389    0.2103392874     1677.2401037935     0.0007   2026-09-08 10:28:09
    31     38    0.0102443717    0.0157916125     6983.8199697121    0.5367808268     2711.6289018643     0.0007   2026-09-08 10:28:09
    32     39    0.0218546497    0.0362062435     6982.5116547093    1.3083150029     4196.7641176909     0.0008   2026-09-08 10:28:09
    33     40    0.0517716384    0.0791580621     6979.6808800776    2.8307746317     5848.6690836385     0.0008   2026-09-08 10:28:09
    34     41    0.0933796741    0.1374932806     6975.0267666645    4.6541134131     6357.5670487244     0.0009   2026-09-08 10:28:09
    35     42    0.1003174692    0.1453322686     6970.4549801250    4.5717865395     4233.3521642118     0.0011   2026-09-08 10:28:09
    36     43    0.0434892882    0.0668946150     6968.4976361908    1.9573439342     1289.4599101274     0.0010   2026-09-08 10:28:09
    37     44    0.0136602594    0.0140517044     6968.2748865006    0.2227496903      146.8291063549     0.0008   2026-09-08 10:28:09
    38     45    0.0036860508    0.0056734294     6968.2687506043    0.0061358963       13.2580489858     0.0009   2026-09-08 10:28:09
    39     46    0.0009065336    0.0012926952     6968.2685491400    0.0002014643       13.2793290029     0.0008   2026-09-08 10:28:09
    40     47    0.0002374670    0.0003430167     6968.2684906717    0.0000584683       13.2861867795     0.0008   2026-09-08 10:28:09
    41     48    0.0004423539    0.0006462400     6968.2683110805    0.0001795911       13.2993740702     0.0008   2026-09-08 10:28:09
    42     49    0.0005956640    0.0008717766     6968.2679054314    0.0004056492       13.3171322185     0.0007   2026-09-08 10:28:09
    43     50    0.0010050823    0.0014646383     6968.2667893330    0.0011160983       17.9683906386     0.0008   2026-09-08 10:28:09
    44     51    0.0015852736    0.0022898594     6968.2639264703    0.0028628627       32.0033662555     0.0007   2026-09-08 10:28:09
    45     52    0.0025758429    0.0036756298     6968.2563892590    0.0075372114       54.9806352120     0.0008   2026-09-08 10:28:09
    46     53    0.0041205002    0.0058126926     6968.2368218621    0.0195673969       91.8313820024     0.0008   2026-09-08 10:28:09
    47     54    0.0065181240    0.0092506780     6968.1863202780    0.0505015841      150.1580409718     0.0007   2026-09-08 10:28:09
    48     55    0.0098552026    0.0151099481     6968.0595473967    0.1267728813      238.2123928331     0.0010   2026-09-08 10:28:09
    49     56    0.0151196759    0.0265935065     6967.7620424289    0.2975049678      354.9617243808     0.0010   2026-09-08 10:28:09
    50     57    0.0253967391    0.0490561454     6967.1709977253    0.5910447036      455.8057836255     0.0007   2026-09-08 10:28:09
    51     58    0.0448559630    0.0761979943     6966.3515468516    0.8194508737      422.7054783787     0.0009   2026-09-08 10:28:09
    52     59    0.0410594359    0.0718419547     6965.7561644646    0.5953823870      222.2480789466     0.0008   2026-09-08 10:28:09
    53     60    0.0190280190    0.0314174845     6965.5963118945    0.1598525701       55.3275300591     0.0008   2026-09-08 10:28:09
    54     61    0.0051550265    0.0084830274     6965.5844535901    0.0118583044       10.9425225862     0.0008   2026-09-08 10:28:09
    55     62    0.0010640240    0.0019664760     6965.5841345425    0.0003190475       10.6786697104     0.0008   2026-09-08 10:28:09
    56     63    0.0001624822    0.0002774684     6965.5841081272    0.0000264154       10.6555844676     0.0008   2026-09-08 10:28:09
    57     64    0.0003889428    0.0006677592     6965.5840086804    0.0000994468       10.6022904288     0.0008   2026-09-08 10:28:09
    58     65    0.0005197619    0.0009017671     6965.5837871665    0.0002215139       10.5291777622     0.0008   2026-09-08 10:28:09
    59     66    0.0008742422    0.0015428782     6965.5831684956    0.0006186709       10.5170998984     0.0008   2026-09-08 10:28:09
    60     67    0.0013109289    0.0023839805     6965.5815885674    0.0015799282       10.5546409883     0.0008   2026-09-08 10:28:09
    61     68    0.0019617704    0.0037691390     6965.5774209372    0.0041676302       10.6140715637     0.0008   2026-09-08 10:28:09
    62     69    0.0028788649    0.0057583351     6965.5666026938    0.0108182435       10.7045302531     0.0010   2026-09-08 10:28:09
    63     70    0.0040487995    0.0085853132     6965.5386208144    0.0279818794       14.6628352426     0.0009   2026-09-08 10:28:09
    64     71    0.0066724699    0.0125139941     6965.4679795995    0.0706412149       23.1240922045     0.0008   2026-09-08 10:28:09
    65     72    0.0116224140    0.0199854986     6965.2995600752    0.1684195243       34.9656546851     0.0008   2026-09-08 10:28:09
    66     73    0.0270774589    0.0403879390     6964.9518856617    0.3476744135       47.5943926577     0.0008   2026-09-08 10:28:09
    67     74    0.0618401201    0.0774082360     6964.4314566663    0.5204289954       50.0528454074     0.0011   2026-09-08 10:28:09
    68     75    0.0738950627    0.0918319563     6964.0008880225    0.4305686439       28.6794624463     0.0011   2026-09-08 10:28:09
    69     76    0.0347535606    0.0491651869     6963.8551097821    0.1457782404        9.4477716176     0.0008   2026-09-08 10:28:09
    70     77    0.0056030722    0.0103220651     6963.8402233909    0.0148863912        9.9601548712     0.0007   2026-09-08 10:28:09
    71     78    0.0020182318    0.0027525308     6963.8397654900    0.0004579009        9.8670514869     0.0007   2026-09-08 10:28:09
    72     79    0.0003778965    0.0004645102     6963.8397451870    0.0000203029        9.8382885090     0.0011   2026-09-08 10:28:09
    73     80    0.0004678386    0.0005763552     6963.8397059075    0.0000392795        9.8009295832     0.0008   2026-09-08 10:28:09
    74     81    0.0007887351    0.0009755022     6963.8395981252    0.0001077823        9.7368080793     0.0009   2026-09-08 10:28:09
    75     82    0.0012322900    0.0015341739     6963.8393210407    0.0002770845        9.6343461283     0.0008   2026-09-08 10:28:09
    76     83    0.0019564303    0.0024631825     6963.8385906820    0.0007303587        9.6286299561     0.0008   2026-09-08 10:28:09
    77     84    0.0030183077    0.0038759308     6963.8366848526    0.0019058294       16.6773332725     0.0007   2026-09-08 10:28:09
    78     85    0.0045200835    0.0060216267     6963.8316994677    0.0049853849       28.0661559550     0.0007   2026-09-08 10:28:09
    79     86    0.0063217229    0.0090813364     6963.8187201575    0.0129793101       46.3395734646     0.0008   2026-09-08 10:28:09
    80     87    0.0082123947    0.0130959826     6963.7852128675    0.0335072901       75.2448598776     0.0008   2026-09-08 10:28:09
    81     88    0.0137574289    0.0180332594     6963.7007574875    0.0844553800      119.1617064799     0.0008   2026-09-08 10:28:09
    82     89    0.0220289120    0.0281321272     6963.5004334610    0.2003240264      178.9819642744     0.0008   2026-09-08 10:28:09
    83     90    0.0525223543    0.0628593240     6963.0892045773    0.4112288837      238.1676295203     0.0007   2026-09-08 10:28:09
    84     91    0.1267322301    0.1305765433     6962.4623431804    0.6268613969      245.0994262876     0.0008   2026-09-08 10:28:09
    85     92    0.1664893549    0.1690802038     6961.9076607529    0.5546824275      154.8085595308     0.0007   2026-09-08 10:28:09
    86     93    0.0905916555    0.0965795644     6961.7240626340    0.1835981189       42.4375634103     0.0008   2026-09-08 10:28:09
    87     94    0.0102269501    0.0152501114     6961.7083152586    0.0157473754        4.9014827953     0.0010   2026-09-08 10:28:09
    88     95    0.0045062158    0.0050762378     6961.7075512452    0.0007640134        4.7483445551     0.0010   2026-09-08 10:28:09
    89     96    0.0014280719    0.0014430375     6961.7075264859    0.0000247593        4.7115313260     0.0008   2026-09-08 10:28:09
    90     97    0.0002124885    0.0002155549     6961.7075226392    0.0000038467        4.7058555578     0.0008   2026-09-08 10:28:09
    91     98    0.0008341426    0.0008479829     6961.7074991366    0.0000235027        4.6826971489     0.0007   2026-09-08 10:28:09
    92     99    0.0010099413    0.0010278791     6961.7074519166    0.0000472200        4.9301434754     0.0008   2026-09-08 10:28:09
    93    100    0.0018153147    0.0018501517     6961.7073140661    0.0001378505        9.9100971420     0.0007   2026-09-08 10:28:09
    94    101    0.0027646053    0.0028244141     6961.7069680452    0.0003460208       17.6364485228     0.0007   2026-09-08 10:28:09
    95    102    0.0044037618    0.0045188281     6961.7060522919    0.0009157534       30.2696957723     0.0007   2026-09-08 10:28:09
    96    103    0.0066460405    0.0068808515     6961.7037003930    0.0023518989       50.1685163867     0.0008   2026-09-08 10:28:09
    97    104    0.0094214446    0.0099623704     6961.6977440459    0.0059563471       80.5993737486     0.0007   2026-09-08 10:28:09
    98    105    0.0110219012    0.0124754306     6961.6835527800    0.0141912659      122.2892272159     0.0008   2026-09-08 10:28:09
    99    106    0.0060925627    0.0114184497     6961.6542736938    0.0292790862      163.4819554707     0.0007   2026-09-08 10:28:09
   100    107    0.0132356142    0.0177805144     6961.6108818343    0.0433918596      164.9553922942     0.0009   2026-09-08 10:28:09
   101    108    0.0357601105    0.0365075242     6961.5758597557    0.0350220786       98.0214425393     0.0010   2026-09-08 10:28:09
   102    109    0.0297755267    0.0299928725     6961.5639227520    0.0119370037       24.9622836639     0.0008   2026-09-08 10:28:09
   103    110    0.0081442081    0.0085836024     6961.5626243966    0.0012983554        1.2124364785     0.0007   2026-09-08 10:28:09
   104    111    0.0003678827    0.0005999808     6961.5625873848    0.0000370118        1.0734271223     0.0008   2026-09-08 10:28:09
   105    112    0.0001418524    0.0001491265     6961.5625868181    0.0000005668        1.0711244404     0.0007   2026-09-08 10:28:09
   106    113    0.0000367761    0.0000374541     6961.5625866540    0.0000001641        1.0705187085     0.0007   2026-09-08 10:28:09
   107    114    0.0001600211    0.0001627796     6961.5625855594    0.0000010946        1.0677970046     0.0007   2026-09-08 10:28:09
   108    115    0.0001964608    0.0001997824     6961.5625833502    0.0000022092        1.0642354839     0.0007   2026-09-08 10:28:09
   109    116    0.0003555025    0.0003614126     6961.5625769132    0.0000064370        1.0571559092     0.0007   2026-09-08 10:28:09
   110    117    0.0005475591    0.0005565302     6961.5625607757    0.0000161375        1.8362683899     0.0007   2026-09-08 10:28:09
   111    118    0.0008850113    0.0008996435     6961.5625182609    0.0000425149        3.1060931784     0.0007   2026-09-08 10:28:09
   112    119    0.0013613204    0.0013862488     6961.5624102337    0.0001080272        5.0687428944     0.0007   2026-09-08 10:28:09
   113    120    0.0019672182    0.0020191554     6961.5621438741    0.0002663595        7.9299990448     0.0007   2026-09-08 10:28:09
   114    121    0.0023182356    0.0024715384     6961.5615489386    0.0005949355       11.3654830872     0.0007   2026-09-08 10:28:09
   115    122    0.0012720262    0.0020096218     6961.5604864943    0.0010624444       13.4123352823     0.0007   2026-09-08 10:28:09
   116    123    0.0021394883    0.0029674159     6961.5592954094    0.0011910849       10.6010158197     0.0007   2026-09-08 10:28:09
   117    124    0.0045296702    0.0047444921     6961.5586840638    0.0006113456        4.1994548143     0.0007   2026-09-08 10:28:09
   118    125    0.0025197924    0.0025618272     6961.5585730778    0.0001109859        0.5618853485     0.0007   2026-09-08 10:28:09
   119    126    0.0003983336    0.0004275214     6961.5585669495    0.0000061283        0.0770669467     0.0007   2026-09-08 10:28:09

<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','9.511731e-07','1.000000e-06'},true,true);;">stopping criteria details</a>>

__________________________________________________________________________________________________________________

<strong>Negative Binomial </strong><strong>
</strong>                                                                     
var.                                      coef.    st.err.  p-value   
Constant                                -1.1139***  0.0718   0.0000   
Consumer surplus per trip                0.0098***  0.0005   0.0000   
Household income (10k PLN)               0.3708***  0.0829   0.0000   
Male                                     0.0013     0.0579   0.9816   
Higher education                         0.1539**   0.0663   0.0202   
City                                    -0.0995*    0.0594   0.0937   
Winter                                   0.8745***  0.0799   0.0000   
Hiking                                   0.8086***  0.0613   0.0000   
Skiing                                   1.3848***  0.2635   0.0000   
 
                                                                     
                                      Overdispersion parameters      
var.                                      coef.    st.err.            
ln alpha                                 1.1970     0.0358            
 
                                                                     
                                      Consumer Surplus               
var.                                      coef.    st.err.  p-value   
-1/(Consumer surplus per trip)        -102.1113***  5.1545   0.0000   
 
<strong>Model diagnostics: 
</strong>LL at convergence:             -6961.5586
LL at constant(s) only:        -7371.3737
McFadden's pseudo-R²:              0.0556
AIC/n:                             2.3814
BIC/n:                             2.3928
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                             1.1008         32.9989
median                           0.0000         37.7704
std                              6.6818         59.9538
min                              0.0000       -124.7069
max                            324.0000        142.0453
quantile 0.025                   0.0000        -91.7754
quantile 0.975                   7.0000        119.5650
 
 
Estimation completed on Tuesday, 2026-09-08 at 10:28:10
Estimation took 0.21455 seconds (0 hours 0 minutes 0.21455 seconds).

====================================================
mt_TC_33  (2 of 6)
====================================================
 
__________________________________________________________________________________________________________________
 
Estimating <strong>choice-task weighted </strong>MNL model ...
in preference-space ...
total weight:                    1922.0000
choice tasks:                        17298
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     4241.0524332434             NaN      559.1846853759     0.0001   2026-09-08 10:28:13
     1      2    1.0000000000    1.3251310355     3621.8673446011  619.1850886423      226.5121953213     0.0041   2026-09-08 10:28:13
     2      3    0.7515724563    1.0774577771     3416.0647442929  205.8026003082      113.6568626306     0.0042   2026-09-08 10:28:13
     3      4    0.3470750125    0.4928277634     3367.3820595216   48.6826847713       62.0608168874     0.0042   2026-09-08 10:28:13
     4      5    0.4044456641    0.5743309650     3343.6439602047   23.7380993169       23.9150677446     0.0040   2026-09-08 10:28:13
     5      6    0.0418784963    0.0761351399     3341.2382524043    2.4057078004       16.0506037273     0.0041   2026-09-08 10:28:13
     6      7    0.1652526625    0.2600511333     3337.8806066894    3.3576457149        7.1865558277     0.0043   2026-09-08 10:28:13
     7      8    0.0247637459    0.0275816601     3337.6537431444    0.2268635451        6.3749260506     0.0041   2026-09-08 10:28:13
     8      9    0.1667283027    0.1910619085     3336.6994076181    0.9543355262        7.1792971931     0.0038   2026-09-08 10:28:13
     9     10    0.0460036556    0.0570348388     3336.5056274512    0.1937801670        7.0108894009     0.0041   2026-09-08 10:28:13
    10     11    0.0756307208    0.1040421811     3336.2273943624    0.2782330888        3.2765243809     0.0042   2026-09-08 10:28:13
    11     12    0.0205466927    0.0309398207     3336.1549879145    0.0724064479        2.2188261216     0.0040   2026-09-08 10:28:13
    12     13    0.0131223680    0.0212874058     3336.1127688616    0.0422190529        1.9078100016     0.0040   2026-09-08 10:28:13
    13     14    0.0104640796    0.0160076175     3336.0879651535    0.0248037081        1.4382005144     0.0041   2026-09-08 10:28:13
    14     15    0.0148464138    0.0205248405     3336.0629980551    0.0249670983        1.2585010196     0.0042   2026-09-08 10:28:13
    15     16    0.0132474266    0.0191330802     3336.0451314126    0.0178666426        1.3354593741     0.0041   2026-09-08 10:28:13
    16     17    0.0092318688    0.0154875029     3336.0339127424    0.0112186702        1.0022097763     0.0041   2026-09-08 10:28:13
    17     18    0.0046884955    0.0078061889     3336.0294269030    0.0044858393        0.4587132592     0.0044   2026-09-08 10:28:13
    18     19    0.0017816607    0.0029055710     3336.0283070377    0.0011198653        0.2006765415     0.0043   2026-09-08 10:28:13
    19     20    0.0006132793    0.0013456165     3336.0280698913    0.0002371464        0.1694209787     0.0041   2026-09-08 10:28:13
    20     21    0.0007659880    0.0011559135     3336.0279179121    0.0001519792        0.1266194389     0.0045   2026-09-08 10:28:13
    21     22    0.0013994258    0.0016341868     3336.0277522619    0.0001656501        0.1190174083     0.0041   2026-09-08 10:28:13
    22     23    0.0011987893    0.0013599105     3336.0276600225    0.0000922394        0.0695892997     0.0042   2026-09-08 10:28:13
    23     24    0.0003452472    0.0005542188     3336.0276389096    0.0000211129        0.0153726624     0.0044   2026-09-08 10:28:13
    24     25    0.0000589319    0.0001385298     3336.0276374027    0.0000015069        0.0018225914     0.0046   2026-09-08 10:28:13
    25     26    0.0000281215    0.0000308316     3336.0276373665    0.0000000363        0.0002314506     0.0042   2026-09-08 10:28:13

<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','4.131684e-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           1.4608***  0.0837   0.0000   
Babiogorski         -1.1127***  0.1491   0.0000   
Bieszczadzki         1.1512***  0.1000   0.0000   
Gorczanski          -1.6093***  0.1974   0.0000   
GorStolowych         0.0251     0.1006   0.8028   
Karkonoski           0.4339***  0.0916   0.0000   
Magurski            -1.1027***  0.1603   0.0000   
Pieninski            0.0995     0.1054   0.3451   
-TC/100              1.1832***  0.0513   0.0000   
 
<strong>Model diagnostics: 
</strong>LL at convergence:             -3336.0276
LL at constant(s) only:        -3664.0177
McFadden's pseudo-R²:              0.0895
Ben-Akiva-Lerman's pseudo-R²:      0.0648
AIC/n:                             0.3868
BIC/n:                             0.3908
n (observations):              17298
r (respondents):                1922
k (parameters):                    9
 
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 10:28:13
Estimation took 0.11667 seconds (0 hours 0 minutes 0.11667 seconds).
 
__________________________________________________________________________________________________________________
 
Estimating Negative Binomial (NB2) regression model ...
without truncation
without censoring.
Using linear regression estimates as starting values
Initial values: [-0.6 0.0025 0.24 0.045 0.087 -0.016 0.33 0.57 0.35 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     7869.7720268565             NaN    88760.0996027446     0.0001   2026-09-08 10:28:14
     1      5    0.0042512514    0.0042516593     7683.8137895844  185.9582372721      936.5522211683     0.0042   2026-09-08 10:28:14
     2      7    0.0004498507    0.0005250253     7683.2759745785    0.5378150059     1059.4852236549     0.0020   2026-09-08 10:28:14
     3      8    0.0066323100    0.0077019665     7677.1609974148    6.1149771636     9279.8203102847     0.0010   2026-09-08 10:28:14
     4      9    0.0155682177    0.0180586030     7665.0916340694   12.0693633454    18832.3252866069     0.0009   2026-09-08 10:28:14
     5     10    0.0476847216    0.0552963816     7631.6259934095   33.4656406600    33950.0873309927     0.0011   2026-09-08 10:28:14
     6     11    0.1141713148    0.1323808568     7558.2843680827   73.3416253268    49992.9068445354     0.0010   2026-09-08 10:28:14
     7     12    0.2353555866    0.2728766211     7426.5282527773  131.7561153054    57849.3758699405     0.0009   2026-09-08 10:28:14
     8     13    0.2962558545    0.3434677035     7296.6060488389  129.9222039384    50511.0703237367     0.0008   2026-09-08 10:28:14
     9     14    0.1877442902    0.2176466407     7219.1260448614   77.4800039775    37099.5007305581     0.0010   2026-09-08 10:28:14
    10     15    0.0878023059    0.1017763202     7161.1176134603   58.0084314011    18070.0612277758     0.0012   2026-09-08 10:28:14
    11     16    0.0187467356    0.0218582714     7142.5806000546   18.5370134058      434.3068104727     0.0012   2026-09-08 10:28:14
    12     17    0.0214116889    0.0248406984     7142.0642397250    0.5163603295      386.5141007315     0.0010   2026-09-08 10:28:14
    13     18    0.0123165893    0.0143033987     7141.9503339484    0.1139057767      378.2858594345     0.0010   2026-09-08 10:28:14
    14     19    0.0022266165    0.0026063358     7141.9103707353    0.0399632131      376.5961248027     0.0010   2026-09-08 10:28:14
    15     20    0.0140085078    0.0165595930     7141.5163082545    0.3940624808      436.0248498444     0.0010   2026-09-08 10:28:14
    16     21    0.0154480071    0.0186413164     7140.7677873721    0.7485208824      936.3438210549     0.0008   2026-09-08 10:28:14
    17     22    0.0265606319    0.0333066067     7138.5455950212    2.2221923509     1858.0405816691     0.0008   2026-09-08 10:28:14
    18     23    0.0339770345    0.0465654279     7133.1786490707    5.3669459506     3196.9007281669     0.0009   2026-09-08 10:28:14
    19     24    0.0358211970    0.0641256963     7119.9431708839   13.2354781868     5054.7373904287     0.0009   2026-09-08 10:28:14
    20     25    0.0469166370    0.0797635010     7091.5381919510   28.4049789329     6776.6194671619     0.0011   2026-09-08 10:28:14
    21     26    0.0966195150    0.1405879306     7042.8652732866   48.6729186644     6779.9773041197     0.0011   2026-09-08 10:28:14
    22     27    0.2132192818    0.2341335596     6998.7564246654   44.1088486212     4496.4339292591     0.0010   2026-09-08 10:28:14
    23     28    0.1194637429    0.1278364146     6989.5960097845    9.1604148809     2030.7653723060     0.0009   2026-09-08 10:28:14
    24     29    0.0177480219    0.0249565841     6988.6657380884    0.9302716961      627.6470930023     0.0010   2026-09-08 10:28:14
    25     30    0.0058587198    0.0103621776     6988.5206286473    0.1451094411       44.5623188638     0.0011   2026-09-08 10:28:14
    26     31    0.0014012932    0.0017707034     6988.5183240648    0.0023045824       44.9179424289     0.0010   2026-09-08 10:28:14
    27     32    0.0003387597    0.0003828966     6988.5179147559    0.0004093089       44.9559376756     0.0012   2026-09-08 10:28:14
    28     33    0.0006844120    0.0007681145     6988.5165888510    0.0013259049       45.0220714555     0.0011   2026-09-08 10:28:14
    29     34    0.0009679204    0.0010781561     6988.5135111266    0.0030777244       90.3545429425     0.0010   2026-09-08 10:28:14
    30     35    0.0016496381    0.0018154982     6988.5050717691    0.0084393576      183.6670433060     0.0008   2026-09-08 10:28:14
    31     36    0.0026423023    0.0028621904     6988.4833697657    0.0217020034      332.0929651171     0.0009   2026-09-08 10:28:14
    32     37    0.0043630882    0.0046615526     6988.4262576698    0.0571120959      573.7002065561     0.0012   2026-09-08 10:28:14
    33     38    0.0071644803    0.0077190373     6988.2778482537    0.1484094161      961.0776088073     0.0008   2026-09-08 10:28:14
    34     39    0.0118098726    0.0137582909     6987.8944219448    0.3834263089     1575.1327557486     0.0010   2026-09-08 10:28:14
    35     40    0.0191124938    0.0274273513     6986.9301534023    0.9642685425     2504.7097117122     0.0010   2026-09-08 10:28:14
    36     41    0.0319646044    0.0591228757     6984.6645029484    2.2656504539     3734.8444556601     0.0009   2026-09-08 10:28:14
    37     42    0.0685574994    0.1188693068     6980.1865891700    4.4779137784     4746.5877558124     0.0008   2026-09-08 10:28:14
    38     43    0.1096473140    0.1762918023     6974.0432213985    6.1433677715     4230.4950224803     0.0008   2026-09-08 10:28:14
    39     44    0.0950710712    0.1491773034     6969.3171020737    4.7261193248     2085.2835118113     0.0011   2026-09-08 10:28:14
    40     45    0.0388683596    0.0577939256     6967.8781210438    1.4389810298      485.7798186049     0.0012   2026-09-08 10:28:14
    41     46    0.0104256956    0.0135622088     6967.7949072931    0.0832137507       82.2022653000     0.0009   2026-09-08 10:28:14
    42     47    0.0026079485    0.0042848730     6967.7926161744    0.0022911187       15.3947455147     0.0010   2026-09-08 10:28:14
    43     48    0.0005824018    0.0009189272     6967.7924898620    0.0001263123       15.3001904695     0.0012   2026-09-08 10:28:14
    44     49    0.0002001451    0.0003172422     6967.7924173547    0.0000725074       15.2649542608     0.0011   2026-09-08 10:28:14
    45     50    0.0005996962    0.0009483987     6967.7920719375    0.0003454172       20.5238719226     0.0010   2026-09-08 10:28:14
    46     51    0.0007911906    0.0012424393     6967.7913246662    0.0007472713       40.6960675957     0.0011   2026-09-08 10:28:14
    47     52    0.0013931812    0.0021632191     6967.7892105961    0.0021140701       76.1973387543     0.0011   2026-09-08 10:28:14
    48     53    0.0021956287    0.0033503622     6967.7838373874    0.0053732087      131.9067520080     0.0011   2026-09-08 10:28:14
    49     54    0.0036127054    0.0053782143     6967.7696471045    0.0141902829      222.8698755472     0.0012   2026-09-08 10:28:14
    50     55    0.0058325192    0.0084237896     6967.7329275893    0.0367195152      367.8823945699     0.0012   2026-09-08 10:28:14
    51     56    0.0093476760    0.0132334741     6967.6386345351    0.0942930542      595.4880824882     0.0011   2026-09-08 10:28:14
    52     57    0.0142725989    0.0212573051     6967.4056222702    0.2330122648      930.3677962270     0.0010   2026-09-08 10:28:14
    53     58    0.0200508636    0.0369820965     6966.8804407098    0.5251815604     1340.8780201412     0.0010   2026-09-08 10:28:14
    54     59    0.0322737940    0.0662316006     6965.9317893471    0.9486513628     1593.8798153128     0.0008   2026-09-08 10:28:14
    55     60    0.0527541028    0.0925455835     6964.8420240838    1.0897652632     1261.1905884905     0.0012   2026-09-08 10:28:14
    56     61    0.0400751616    0.0712581304     6964.2642141462    0.5778099376      493.9649291841     0.0009   2026-09-08 10:28:14
    57     62    0.0161176332    0.0246392818     6964.1662984597    0.0979156866       68.8986589347     0.0008   2026-09-08 10:28:14
    58     63    0.0033342722    0.0058097509     6964.1617206193    0.0045778403       11.0327468618     0.0008   2026-09-08 10:28:14
    59     64    0.0005439711    0.0010590415     6964.1616207849    0.0000998345       10.9058719963     0.0008   2026-09-08 10:28:14
    60     65    0.0001163705    0.0002084167     6964.1615982876    0.0000224973       10.8896656825     0.0008   2026-09-08 10:28:14
    61     66    0.0004306320    0.0007692813     6964.1614690180    0.0001292696       10.8317369437     0.0009   2026-09-08 10:28:14
    62     67    0.0005355483    0.0009581486     6964.1612025108    0.0002665072       10.7584174258     0.0010   2026-09-08 10:28:14
    63     68    0.0009480329    0.0017012025     6964.1604324811    0.0007700297       19.2165972570     0.0008   2026-09-08 10:28:14
    64     69    0.0014391673    0.0025976094     6964.1584904851    0.0019419960       34.3714627391     0.0010   2026-09-08 10:28:14
    65     70    0.0022631841    0.0041346408     6964.1533466815    0.0051438036       59.1760187516     0.0009   2026-09-08 10:28:14
    66     71    0.0033632982    0.0063209422     6964.1400427908    0.0133038907       98.6729128362     0.0008   2026-09-08 10:28:14
    67     72    0.0046835938    0.0094743183     6964.1057705255    0.0342722654      160.8934348707     0.0008   2026-09-08 10:28:14
    68     73    0.0076499254    0.0139298619     6964.0203293205    0.0854412050      253.7719575783     0.0008   2026-09-08 10:28:14
    69     74    0.0131029727    0.0224137338     6963.8228180392    0.1975112813      374.0787982527     0.0008   2026-09-08 10:28:14
    70     75    0.0280414059    0.0434839087     6963.4437503968    0.3790676424      471.1425709975     0.0007   2026-09-08 10:28:14
    71     76    0.0540338472    0.0742741144     6962.9543376127    0.4894127841      420.8845765219     0.0008   2026-09-08 10:28:14
    72     77    0.0507923913    0.0730274449     6962.6371980247    0.3171395880      197.9223621557     0.0008   2026-09-08 10:28:14
    73     78    0.0173863692    0.0307558990     6962.5608817069    0.0763163178       30.9932206096     0.0008   2026-09-08 10:28:14
    74     79    0.0037494976    0.0062258738     6962.5555910190    0.0052906880        9.5379481993     0.0008   2026-09-08 10:28:14
    75     80    0.0010288527    0.0014583232     6962.5554669280    0.0001240910        9.5447122206     0.0008   2026-09-08 10:28:14
    76     81    0.0001617389    0.0002221253     6962.5554548496    0.0000120785        9.5466148527     0.0008   2026-09-08 10:28:14
    77     82    0.0004941569    0.0006823048     6962.5553974652    0.0000573843        9.5525608626     0.0009   2026-09-08 10:28:14
    78     83    0.0006307227    0.0008773058     6962.5552757019    0.0001217633        9.5600867518     0.0009   2026-09-08 10:28:14
    79     84    0.0010933943    0.0015388219     6962.5549282808    0.0003474211       10.6819072311     0.0008   2026-09-08 10:28:14
    80     85    0.0016475458    0.0023665618     6962.5540474881    0.0008807927       19.1112175327     0.0008   2026-09-08 10:28:14
    81     86    0.0025336916    0.0037741086     6962.5517146005    0.0023328876       32.9180076140     0.0008   2026-09-08 10:28:14
    82     87    0.0036372948    0.0058091051     6962.5456483337    0.0060662668       55.0805962548     0.0008   2026-09-08 10:28:14
    83     88    0.0052759069    0.0087635818     6962.5298307375    0.0158175962       90.6875323808     0.0008   2026-09-08 10:28:14
    84     89    0.0087615912    0.0127596831     6962.4890993067    0.0407314308      146.8164754568     0.0008   2026-09-08 10:28:14
    85     90    0.0143790079    0.0188942465     6962.3868313026    0.1022680041      231.5415388693     0.0008   2026-09-08 10:28:14
    86     91    0.0221682938    0.0348494234     6962.1465664912    0.2402648114      344.8021570810     0.0008   2026-09-08 10:28:14
    87     92    0.0718448672    0.0792056020     6961.6621988709    0.4843676203      450.3461006857     0.0008   2026-09-08 10:28:14
    88     93    0.1476515850    0.1502992132     6960.9481032121    0.7140956589      445.0141842630     0.0011   2026-09-08 10:28:14
    89     94    0.1687256184    0.1725474343     6960.3685652683    0.5795379437      255.8013589719     0.0009   2026-09-08 10:28:14
    90     95    0.0720614019    0.0801593487     6960.2084485608    0.1601167075       59.6127770138     0.0008   2026-09-08 10:28:14
    91     96    0.0087816270    0.0115462367     6960.1954964901    0.0129520707        5.9037669749     0.0009   2026-09-08 10:28:14
    92     97    0.0055871208    0.0059355025     6960.1947570827    0.0007394074        5.7393612478     0.0009   2026-09-08 10:28:14
    93     98    0.0012802920    0.0012920610     6960.1947367617    0.0000203210        5.7056936582     0.0008   2026-09-08 10:28:14
    94     99    0.0002219359    0.0002262927     6960.1947322292    0.0000045326        5.6996869066     0.0008   2026-09-08 10:28:14
    95    100    0.0008837851    0.0009027256     6960.1947040186    0.0000282106        5.6752537968     0.0010   2026-09-08 10:28:14
    96    101    0.0010851642    0.0011094556     6960.1946466848    0.0000573338        5.6443467751     0.0011   2026-09-08 10:28:14
    97    102    0.0019432337    0.0019893621     6960.1944799764    0.0001667084        8.9057014474     0.0011   2026-09-08 10:28:14
    98    103    0.0029645487    0.0030420369     6960.1940607373    0.0004192391       15.6827775520     0.0011   2026-09-08 10:28:14
    99    104    0.0047199280    0.0048641595     6960.1929510402    0.0011096971       26.7585171593     0.0009   2026-09-08 10:28:14
   100    105    0.0071345421    0.0074163982     6960.1900947684    0.0028562718       44.2572455999     0.0009   2026-09-08 10:28:14
   101    106    0.0101706367    0.0107866437     6960.1828249109    0.0072698575       71.2404239631     0.0008   2026-09-08 10:28:14
   102    107    0.0121537158    0.0137197232     6960.1652789774    0.0175459335      109.0968961303     0.0008   2026-09-08 10:28:14
   103    108    0.0076030416    0.0129970894     6960.1279319854    0.0373469920      149.5256419766     0.0008   2026-09-08 10:28:14
   104    109    0.0127888341    0.0187043429     6960.0687654119    0.0591665735      159.4480842537     0.0009   2026-09-08 10:28:14
   105    110    0.0406234239    0.0418393729     6960.0153672868    0.0533981250      104.6403192390     0.0009   2026-09-08 10:28:14
   106    111    0.0384088505    0.0387643446     6959.9942338952    0.0211333916       31.3547296255     0.0008   2026-09-08 10:28:14
   107    112    0.0124896611    0.0130370954     6959.9914459632    0.0027879320        2.2660303181     0.0009   2026-09-08 10:28:14
   108    113    0.0005728827    0.0010525428     6959.9913512670    0.0000946962        1.2406625925     0.0009   2026-09-08 10:28:14
   109    114    0.0002157892    0.0002314541     6959.9913498543    0.0000014127        1.2347558538     0.0008   2026-09-08 10:28:14
   110    115    0.0000391492    0.0000396208     6959.9913496961    0.0000001582        1.2339262853     0.0008   2026-09-08 10:28:14
   111    116    0.0001704146    0.0001722624     6959.9913486491    0.0000010470        1.2302826033     0.0008   2026-09-08 10:28:14
   112    117    0.0002076099    0.0002098181     6959.9913465507    0.0000020984        1.2256682954     0.0008   2026-09-08 10:28:14
   113    118    0.0003771379    0.0003810921     6959.9913404140    0.0000061368        1.2167754326     0.0008   2026-09-08 10:28:14
   114    119    0.0005811092    0.0005871318     6959.9913250302    0.0000153837        2.0295153090     0.0009   2026-09-08 10:28:14
   115    120    0.0009439180    0.0009538226     6959.9912843690    0.0000406612        3.4620581902     0.0008   2026-09-08 10:28:14
   116    121    0.0014694995    0.0014865652     6959.9911803150    0.0001040540        5.7035214846     0.0008   2026-09-08 10:28:14
   117    122    0.0021957559    0.0022315771     6959.9909189194    0.0002613956        9.0820765879     0.0009   2026-09-08 10:28:14
   118    123    0.0028535257    0.0029568626     6959.9903075701    0.0006113493       13.5475390376     0.0007   2026-09-08 10:28:14
   119    124    0.0024045957    0.0028393151     6959.9890941416    0.0012134285       17.4987248833     0.0008   2026-09-08 10:28:14
   120    125    0.0016226374    0.0024922932     6959.9874187052    0.0016754363       16.5490022647     0.0008   2026-09-08 10:28:14
   121    126    0.0053001837    0.0056708728     6959.9862274151    0.0011912901        8.7821830715     0.0008   2026-09-08 10:28:14
   122    127    0.0045420086    0.0046025757     6959.9859025533    0.0003248618        1.8852766493     0.0008   2026-09-08 10:28:14
   123    128    0.0011891522    0.0012186585     6959.9858741642    0.0000283892        0.1393390443     0.0008   2026-09-08 10:28:14
   124    129    0.0000499755    0.0000805886     6959.9858734674    0.0000006968        0.1326608284     0.0008   2026-09-08 10:28:14
   125    130    0.0000116140    0.0000129573     6959.9858734611    0.0000000062        0.1320647361     0.0008   2026-09-08 10:28:14
   126    131    0.0000028387    0.0000030231     6959.9858734593    0.0000000018        0.1319566385     0.0007   2026-09-08 10:28:14
   127    132    0.0000140106    0.0000149051     6959.9858734452    0.0000000140        0.1314187840     0.0008   2026-09-08 10:28:14
   128    133    0.0000168185    0.0000178958     6959.9858734175    0.0000000278        0.1307512918     0.0010   2026-09-08 10:28:14
   129    134    0.0000306986    0.0000326818     6959.9858733359    0.0000000816        0.1294699476     0.0012   2026-09-08 10:28:14
   130    135    0.0000470965    0.0000501952     6959.9858731318    0.0000002041        0.1801984659     0.0011   2026-09-08 10:28:14
   131    136    0.0000762668    0.0000814916     6959.9858725923    0.0000005395        0.3057775672     0.0011   2026-09-08 10:28:14
   132    137    0.0001178188    0.0001266813     6959.9858712141    0.0000013781        0.5016388582     0.0011   2026-09-08 10:28:14
   133    138    0.0001733997    0.0001896628     6959.9858677648    0.0000034493        0.7948105674     0.0008   2026-09-08 10:28:14
   134    139    0.0002172163    0.0002516950     6959.9858597715    0.0000079933        1.1750557378     0.0007   2026-09-08 10:28:14
   135    140    0.0001782246    0.0002583281     6959.9858442340    0.0000155375        1.4903498835     0.0007   2026-09-08 10:28:14
   136    141    0.0001761984    0.0002980015     6959.9858236264    0.0000206077        1.3619066478     0.0008   2026-09-08 10:28:14
   137    142    0.0004501199    0.0005082786     6959.9858098151    0.0000138112        0.6844720202     0.0007   2026-09-08 10:28:14
   138    143    0.0003406788    0.0003621996     6959.9858063233    0.0000034919        0.1346751523     0.0007   2026-09-08 10:28:14
   139    144    0.0000767016    0.0000868845     6959.9858060469    0.0000002764        0.0022042558     0.0007   2026-09-08 10:28:14

<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','2.483358e-08','1.000000e-06'},true,true);;">stopping criteria details</a>>

__________________________________________________________________________________________________________________

<strong>Negative Binomial </strong><strong>
</strong>                                                                     
var.                                      coef.    st.err.  p-value   
Constant                                -1.2513***  0.0744   0.0000   
Consumer surplus per trip                0.0088***  0.0004   0.0000   
Household income (10k PLN)               0.6501***  0.0855   0.0000   
Male                                     0.0053     0.0579   0.9270   
Higher education                         0.1611**   0.0663   0.0151   
City                                    -0.0977*    0.0594   0.0998   
Winter                                   0.8661***  0.0798   0.0000   
Hiking                                   0.8029***  0.0613   0.0000   
Skiing                                   1.3905***  0.2632   0.0000   
 
                                                                     
                                      Overdispersion parameters      
var.                                      coef.    st.err.            
ln alpha                                 1.1950     0.0359            
 
                                                                     
                                      Consumer Surplus               
var.                                      coef.    st.err.  p-value   
-1/(Consumer surplus per trip)        -113.7478***  5.7183   0.0000   
 
<strong>Model diagnostics: 
</strong>LL at convergence:             -6959.9858
LL at constant(s) only:        -7371.3737
McFadden's pseudo-R²:              0.0558
AIC/n:                             2.3809
BIC/n:                             2.3923
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                             1.1008         36.2282
median                           0.0000         43.1624
std                              6.6818         68.1503
min                              0.0000       -204.6277
max                            324.0000        163.0956
quantile 0.025                   0.0000       -106.9731
quantile 0.975                   7.0000        135.0942
 
 
Estimation completed on Tuesday, 2026-09-08 at 10:28:14
Estimation took 0.22854 seconds (0 hours 0 minutes 0.22854 seconds).

====================================================
mt_TC_100  (3 of 6)
====================================================
 
__________________________________________________________________________________________________________________
 
Estimating <strong>choice-task weighted </strong>MNL model ...
in preference-space ...
total weight:                    1922.0000
choice tasks:                        17298
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     4239.9881263200             NaN      703.5149490659     0.0000   2026-09-08 10:28:17
     1      2    1.0000000000    1.2155758450     3699.0560423976  540.9320839223      278.2556062392     0.0040   2026-09-08 10:28:17
     2      3    0.4763575387    0.6355434469     3509.7641488383  189.2918935593      136.8733678990     0.0040   2026-09-08 10:28:17
     3      4    0.5735204796    0.9127491370     3400.4173811573  109.3467676811      107.7741791291     0.0041   2026-09-08 10:28:17
     4      5    0.1609984473    0.2245612838     3375.3299843871   25.0873967702       74.5321289036     0.0039   2026-09-08 10:28:17
     5      6    0.3750455114    0.5541891408     3350.5579343968   24.7720499903       27.4370182537     0.0037   2026-09-08 10:28:17
     6      7    0.0278458603    0.0479613581     3348.8221595924    1.7357748043       17.8147597919     0.0040   2026-09-08 10:28:17
     7      8    0.1179754368    0.1953977793     3345.2812722622    3.5408873302       21.3461900161     0.0039   2026-09-08 10:28:17
     8      9    0.0654805753    0.0938094275     3344.5267164096    0.7545558526       11.9952337211     0.0040   2026-09-08 10:28:17
     9     10    0.0417486628    0.0509917597     3344.2282814748    0.2984349348        6.6217107284     0.0037   2026-09-08 10:28:17
    10     11    0.0392044124    0.0441133104     3343.9770773350    0.2512041397        6.7451242680     0.0042   2026-09-08 10:28:17
    11     12    0.0738343950    0.0852930120     3343.5489040168    0.4281733182       13.9396189519     0.0039   2026-09-08 10:28:17
    12     13    0.0852062654    0.1046124322     3343.1122143333    0.4366896835       13.9593267362     0.0037   2026-09-08 10:28:17
    13     14    0.0625384744    0.0846125936     3342.8165734810    0.2956408524        7.3793417920     0.0039   2026-09-08 10:28:17
    14     15    0.0237733481    0.0410164950     3342.6779138254    0.1386596555        5.9220719706     0.0046   2026-09-08 10:28:17
    15     16    0.0200421964    0.0259272936     3342.5921076808    0.0858061446        4.0918628240     0.0038   2026-09-08 10:28:17
    16     17    0.0182002924    0.0225066236     3342.5337333079    0.0583743729        4.0914286421     0.0039   2026-09-08 10:28:17
    17     18    0.0100890288    0.0170067339     3342.5022224232    0.0315108847        1.9214308576     0.0039   2026-09-08 10:28:17
    18     19    0.0090124450    0.0141243585     3342.4817110187    0.0205114044        1.6972700846     0.0040   2026-09-08 10:28:17
    19     20    0.0119372132    0.0175628614     3342.4594457207    0.0222652981        2.3680025347     0.0039   2026-09-08 10:28:17
    20     21    0.0142658454    0.0208410082     3342.4364550146    0.0229907061        2.7823059950     0.0037   2026-09-08 10:28:17
    21     22    0.0105188812    0.0166273687     3342.4209600344    0.0154949802        1.4915591806     0.0042   2026-09-08 10:28:17
    22     23    0.0056515412    0.0090819018     3342.4137549323    0.0072051021        1.0652821963     0.0040   2026-09-08 10:28:17
    23     24    0.0036994757    0.0054743841     3342.4100259745    0.0037289578        0.7931323506     0.0039   2026-09-08 10:28:17
    24     25    0.0023449243    0.0040743144     3342.4077990688    0.0022269057        0.7997197626     0.0039   2026-09-08 10:28:17
    25     26    0.0015630105    0.0025984783     3342.4069755327    0.0008235361        0.3287956499     0.0044   2026-09-08 10:28:17
    26     27    0.0009980582    0.0013937451     3342.4067754001    0.0002001326        0.1818709499     0.0040   2026-09-08 10:28:17
    27     28    0.0007941762    0.0009284581     3342.4066629968    0.0001124033        0.1556741008     0.0038   2026-09-08 10:28:17
    28     29    0.0014066607    0.0015079297     3342.4064865655    0.0001764313        0.2817749066     0.0041   2026-09-08 10:28:17
    29     30    0.0014239437    0.0016855982     3342.4063272857    0.0001592799        0.2494957693     0.0042   2026-09-08 10:28:17
    30     31    0.0007004580    0.0011430125     3342.4062589600    0.0000683257        0.0988147662     0.0039   2026-09-08 10:28:17
    31     32    0.0003057672    0.0004059746     3342.4062495058    0.0000094542        0.0136277318     0.0040   2026-09-08 10:28:17
    32     33    0.0000895250    0.0001040521     3342.4062490989    0.0000004069        0.0005608880     0.0042   2026-09-08 10:28:17

<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','7.961336e-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           1.4329***  0.0833   0.0000   
Babiogorski         -1.1003***  0.1493   0.0000   
Bieszczadzki         1.1682***  0.1006   0.0000   
Gorczanski          -1.5920***  0.1976   0.0000   
GorStolowych         0.0514     0.1009   0.6104   
Karkonoski           0.4323***  0.0917   0.0000   
Magurski            -1.0865***  0.1606   0.0000   
Pieninski            0.0912     0.1054   0.3868   
-TC/100              0.9435***  0.0412   0.0000   
 
<strong>Model diagnostics: 
</strong>LL at convergence:             -3342.4062
LL at constant(s) only:        -3664.0177
McFadden's pseudo-R²:              0.0878
Ben-Akiva-Lerman's pseudo-R²:      0.0652
AIC/n:                             0.3875
BIC/n:                             0.3915
n (observations):              17298
r (respondents):                1922
k (parameters):                    9
 
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 10:28:18
Estimation took 0.11594 seconds (0 hours 0 minutes 0.11594 seconds).
 
__________________________________________________________________________________________________________________
 
Estimating Negative Binomial (NB2) regression model ...
without truncation
without censoring.
Using linear regression estimates as starting values
Initial values: [-0.67 0.002 0.36 0.045 0.089 -0.016 0.33 0.56 0.35 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     7871.6028355578             NaN   106856.1914147856     0.0000   2026-09-08 10:28:18
     1      5    0.0029992908    0.0029994898     7712.4329336305  159.1699019273      950.7010421849     0.0044   2026-09-08 10:28:18
     2      6    0.0000270706    0.0000372045     7712.3923198432    0.0406137873      950.5819087055     0.0009   2026-09-08 10:28:18
     3      7    0.0001347331    0.0001571411     7712.2650278529    0.1272919902     1479.3402818378     0.0008   2026-09-08 10:28:18
     4      8    0.0003721489    0.0004205153     7711.9790729730    0.2859548799     3552.0357274094     0.0007   2026-09-08 10:28:18
     5      9    0.0011500198    0.0012897723     7711.1846722847    0.7944006883     7112.4422951081     0.0010   2026-09-08 10:28:18
     6     10    0.0031207945    0.0034920790     7709.1586489745    2.0260233102    12678.7903224698     0.0010   2026-09-08 10:28:18
     7     11    0.0084953616    0.0094988797     7703.8490902868    5.3095586878    21555.3140719608     0.0009   2026-09-08 10:28:18
     8     12    0.0223564556    0.0249905053     7690.2431355242   13.6059547626    35066.5851832202     0.0007   2026-09-08 10:28:18
     9     13    0.0574488321    0.0642106764     7656.1659548155   34.0771807087    53972.1314072467     0.0007   2026-09-08 10:28:18
    10     14    0.1386989712    0.1550168815     7577.4597855785   78.7061692370    74490.4196237430     0.0009   2026-09-08 10:28:18
    11     15    0.2809567610    0.3140031483     7436.0053720129  141.4544135656    83139.2019692861     0.0014   2026-09-08 10:28:18
    12     16    0.3432239270    0.3835860693     7300.4591099625  135.5462620505    72367.2555490393     0.0008   2026-09-08 10:28:18
    13     17    0.1939482022    0.2167496667     7216.8409043206   83.6182056419    55961.7829650555     0.0007   2026-09-08 10:28:18
    14     18    0.1029247376    0.1150290144     7129.5448813661   87.2960229545    28046.3118555389     0.0008   2026-09-08 10:28:18
    15     19    0.0317539626    0.0355646210     7100.3515283010   29.1933530651     1598.4329566653     0.0007   2026-09-08 10:28:18
    16     20    0.0171423328    0.0191624278     7099.9512691539    0.4002591472      321.4591486268     0.0007   2026-09-08 10:28:18
    17     21    0.0122183043    0.0136631134     7099.8719374975    0.0793316563      316.5815362073     0.0010   2026-09-08 10:28:18
    18     23    0.0083179994    0.0093629449     7099.7668050530    0.1051324445      448.1072288212     0.0022   2026-09-08 10:28:18
    19     24    0.0070018086    0.0080096967     7099.4843519833    0.2824530697      805.9499672331     0.0011   2026-09-08 10:28:18
    20     25    0.0297120037    0.0348337909     7097.5541774661    1.9301745172     2410.7333385864     0.0010   2026-09-08 10:28:18
    21     26    0.0312732586    0.0390313879     7093.8497826163    3.7043948498     4243.6487440260     0.0009   2026-09-08 10:28:18
    22     27    0.0408836289    0.0606752617     7083.9704412606    9.8793413557     7046.1979695113     0.0010   2026-09-08 10:28:18
    23     28    0.0397649220    0.0694447970     7064.4678244404   19.5026168202     9434.7107483348     0.0011   2026-09-08 10:28:18
    24     29    0.0598240972    0.1072086433     7033.3199102773   31.1479141631     9102.7525733487     0.0008   2026-09-08 10:28:18
    25     30    0.1500592478    0.1704945645     7007.7190668179   25.6008434594     5433.4238099882     0.0009   2026-09-08 10:28:18
    26     31    0.0887216501    0.0954659341     7002.5017992697    5.2172675482     1943.3893096993     0.0009   2026-09-08 10:28:18
    27     32    0.0129806929    0.0166238771     7002.1152764352    0.3865228345      400.7935922368     0.0008   2026-09-08 10:28:18
    28     33    0.0028257341    0.0051595011     7002.0763756162    0.0389008190       50.3753006596     0.0007   2026-09-08 10:28:18
    29     34    0.0006531208    0.0009724777     7002.0754358958    0.0009397204       49.7233577018     0.0008   2026-09-08 10:28:18
    30     35    0.0002156206    0.0002720315     7002.0751407331    0.0002951627       49.6436892243     0.0007   2026-09-08 10:28:18
    31     36    0.0005886015    0.0007310189     7002.0738924786    0.0012482545       49.4518560306     0.0007   2026-09-08 10:28:18
    32     37    0.0008016859    0.0009855395     7002.0711262066    0.0027662720       96.3680328109     0.0007   2026-09-08 10:28:18
    33     38    0.0014018172    0.0017004424     7002.0633778575    0.0077483491      191.3515214562     0.0007   2026-09-08 10:28:18
    34     39    0.0022300684    0.0026565018     7002.0435964254    0.0197814321      341.1085798912     0.0008   2026-09-08 10:28:18
    35     40    0.0036990496    0.0043211989     7001.9913326807    0.0522637446      585.9657503133     0.0010   2026-09-08 10:28:18
    36     41    0.0060862762    0.0070677751     7001.8553517955    0.1359808853      979.6315278250     0.0009   2026-09-08 10:28:18
    37     42    0.0101223926    0.0123429221     7001.5017667463    0.3535850491     1610.3697560081     0.0009   2026-09-08 10:28:18
    38     43    0.0167492936    0.0241171730     7000.5989827435    0.9027840028     2591.4738428978     0.0008   2026-09-08 10:28:18
    39     44    0.0318929840    0.0525258018     6998.3939466068    2.2050361368     3995.5005948350     0.0009   2026-09-08 10:28:18
    40     45    0.0671093830    0.1133171031     6993.6193580808    4.7745885260     5520.4169767150     0.0008   2026-09-08 10:28:18
    41     46    0.1098276147    0.1973604076     6985.8196958239    7.7996622569     5847.0432271217     0.0008   2026-09-08 10:28:18
    42     47    0.1209932586    0.2132825089     6978.0357677013    7.7839281226     3791.1677888524     0.0009   2026-09-08 10:28:18
    43     48    0.0648448917    0.1164079782     6974.2356325375    3.8001351638     1257.4894446296     0.0008   2026-09-08 10:28:18
    44     49    0.0232585280    0.0264062302     6973.7623457562    0.4732867813      232.4698491851     0.0008   2026-09-08 10:28:18
    45     50    0.0049404732    0.0076544439     6973.7504945018    0.0118512544       29.8680112585     0.0008   2026-09-08 10:28:18
    46     51    0.0011932228    0.0021386490     6973.7500855119    0.0004089899       20.0694144862     0.0009   2026-09-08 10:28:18
    47     52    0.0002211063    0.0003866980     6973.7500225515    0.0000629604       20.0337799475     0.0010   2026-09-08 10:28:18
    48     53    0.0005563142    0.0009683554     6973.7497746509    0.0002479006       19.9407246662     0.0013   2026-09-08 10:28:18
    49     54    0.0007539059    0.0013042711     6973.7492261245    0.0005485264       19.8132720421     0.0009   2026-09-08 10:28:18
    50     55    0.0013153069    0.0022543767     6973.7476891692    0.0015369553       33.5472080335     0.0009   2026-09-08 10:28:18
    51     56    0.0020837487    0.0035186047     6973.7437660865    0.0039230826       57.4440098559     0.0007   2026-09-08 10:28:18
    52     57    0.0034348345    0.0056672397     6973.7334007708    0.0103653158       96.5104933856     0.0008   2026-09-08 10:28:18
    53     58    0.0055961426    0.0089145149     6973.7064296977    0.0269710731      159.3237485563     0.0008   2026-09-08 10:28:18
    54     59    0.0091693256    0.0138970797     6973.6362539881    0.0701757095      260.0972215606     0.0008   2026-09-08 10:28:18
    55     60    0.0148470731    0.0212213344     6973.4566447376    0.1796092506      417.7869121074     0.0007   2026-09-08 10:28:18
    56     61    0.0230800823    0.0322705309     6973.0141328764    0.4425118612      648.8583460950     0.0007   2026-09-08 10:28:18
    57     62    0.0313409927    0.0523878865     6972.0279980254    0.9861348510      925.7429488775     0.0008   2026-09-08 10:28:18
    58     63    0.0483056676    0.0927543905     6970.2944943126    1.7335037128     1071.9612718484     0.0007   2026-09-08 10:28:18
    59     64    0.0857809611    0.1329045452     6968.4169115234    1.8775827893      793.2443091673     0.0008   2026-09-08 10:28:18
    60     65    0.0656870483    0.1029996447     6967.5224294665    0.8944820568      271.3408663514     0.0008   2026-09-08 10:28:18
    61     66    0.0215707126    0.0342069140     6967.3907510918    0.1316783747       28.5844724087     0.0008   2026-09-08 10:28:18
    62     67    0.0042842076    0.0066055310     6967.3853072844    0.0054438074       13.2733858143     0.0010   2026-09-08 10:28:18
    63     68    0.0006458832    0.0011312971     6967.3852046668    0.0001026177       13.1572401317     0.0012   2026-09-08 10:28:18
    64     69    0.0001297963    0.0002017323     6967.3851870405    0.0000176262       13.1475560053     0.0008   2026-09-08 10:28:18
    65     70    0.0004656937    0.0007210705     6967.3850895465    0.0000974940       13.1155731079     0.0007   2026-09-08 10:28:18
    66     71    0.0005832979    0.0009042583     6967.3848878793    0.0002016672       13.0749401748     0.0008   2026-09-08 10:28:18
    67     72    0.0010359128    0.0016102488     6967.3843059876    0.0005818917       15.4384196417     0.0007   2026-09-08 10:28:18
    68     73    0.0015863104    0.0024779856     6967.3828372196    0.0014687680       27.3863773395     0.0009   2026-09-08 10:28:18
    69     74    0.0025298999    0.0039885840     6967.3789444792    0.0038927404       46.9631160830     0.0008   2026-09-08 10:28:18
    70     75    0.0038622592    0.0062045867     6967.3688541782    0.0100903010       78.2486593429     0.0007   2026-09-08 10:28:18
    71     76    0.0056675008    0.0095021333     6967.3427186213    0.0261355569      127.9966397202     0.0007   2026-09-08 10:28:18
    72     77    0.0074375426    0.0139921768     6967.2766383771    0.0660802442      204.1564935149     0.0007   2026-09-08 10:28:18
    73     78    0.0099588356    0.0200616441     6967.1183880909    0.1582502861      310.0882450530     0.0008   2026-09-08 10:28:18
    74     79    0.0209814297    0.0315843127     6966.7883096291    0.3300784619      419.7662301475     0.0008   2026-09-08 10:28:18
    75     80    0.0332277445    0.0567711715     6966.2836965895    0.5046130396      435.7017897648     0.0008   2026-09-08 10:28:18
    76     81    0.0444990254    0.0748837733     6965.8535010632    0.4301955263      263.4327768816     0.0009   2026-09-08 10:28:18
    77     82    0.0318602334    0.0482949042     6965.7030642867    0.1504367765       61.3297476923     0.0008   2026-09-08 10:28:18
    78     83    0.0066820301    0.0124654252     6965.6869418021    0.0161224847       10.0288700501     0.0008   2026-09-08 10:28:18
    79     84    0.0014042966    0.0022075185     6965.6864381179    0.0005036842       10.0175000625     0.0010   2026-09-08 10:28:18
    80     85    0.0002023365    0.0003518801     6965.6864277156    0.0000104022       10.0188225841     0.0009   2026-09-08 10:28:18
    81     86    0.0000928712    0.0001610678     6965.6864204560    0.0000072596       10.0195967454     0.0008   2026-09-08 10:28:18
    82     87    0.0002628369    0.0004529241     6965.6863882738    0.0000321823       10.0217635406     0.0008   2026-09-08 10:28:18
    83     88    0.0003564813    0.0006104202     6965.6863170551    0.0000712187       10.0245889135     0.0008   2026-09-08 10:28:18
    84     89    0.0006215013    0.0010541040     6965.6861174792    0.0001995759       10.0291968926     0.0010   2026-09-08 10:28:18
    85     90    0.0009830512    0.0016418655     6965.6856081258    0.0005093534       14.3716501694     0.0009   2026-09-08 10:28:18
    86     91    0.0016174573    0.0026369358     6965.6842620061    0.0013461197       24.4148618515     0.0008   2026-09-08 10:28:18
    87     92    0.0026312342    0.0041325294     6965.6807549304    0.0035070757       40.5761693651     0.0008   2026-09-08 10:28:18
    88     93    0.0043175033    0.0064204586     6965.6715902946    0.0091646358       66.6375158399     0.0008   2026-09-08 10:28:18
    89     94    0.0070774891    0.0098222395     6965.6478259787    0.0237643160      108.1886669516     0.0010   2026-09-08 10:28:18
    90     95    0.0115144975    0.0152779819     6965.5870892687    0.0607367100      172.8481289007     0.0011   2026-09-08 10:28:18
    91     96    0.0180187999    0.0267395100     6965.4378541462    0.1492351224      266.9035773447     0.0011   2026-09-08 10:28:18
    92     97    0.0469199795    0.0560388070     6965.1044253549    0.3334287913      380.7047381193     0.0009   2026-09-08 10:28:18
    93     98    0.1104479277    0.1146371093     6964.5014987038    0.6029266511      454.0865518243     0.0008   2026-09-08 10:28:18
    94     99    0.1661559088    0.1692040761     6963.7926799921    0.7088187117      372.3061643455     0.0008   2026-09-08 10:28:18
    95    100    0.1173864749    0.1260681178     6963.4285344951    0.3641454969      148.5959552981     0.0008   2026-09-08 10:28:18
    96    101    0.0178815967    0.0303961457     6963.3726690065    0.0558654887       17.4964225361     0.0008   2026-09-08 10:28:18
    97    102    0.0082803480    0.0101367794     6963.3686248790    0.0040441275        7.0483468852     0.0009   2026-09-08 10:28:18
    98    103    0.0035155536    0.0035775575     6963.3684608277    0.0001640513        6.9758076282     0.0008   2026-09-08 10:28:18
    99    104    0.0003636257    0.0003756317     6963.3684553796    0.0000054481        6.9672155759     0.0008   2026-09-08 10:28:18
   100    105    0.0004171127    0.0004342285     6963.3684452609    0.0000101187        6.9570568144     0.0008   2026-09-08 10:28:18
   101    106    0.0007057379    0.0007355663     6963.3684174547    0.0000278062        6.9395878819     0.0010   2026-09-08 10:28:18
   102    107    0.0011119704    0.0011602202     6963.3683460070    0.0000714476        7.5562064453     0.0008   2026-09-08 10:28:18
   103    108    0.0017931453    0.0018742286     6963.3681576526    0.0001883544       13.7706797190     0.0007   2026-09-08 10:28:18
   104    109    0.0028393037    0.0029766764     6963.3676662889    0.0004913638       23.7869045928     0.0008   2026-09-08 10:28:18
   105    110    0.0044502867    0.0046910745     6963.3663817277    0.0012845612       39.9535459384     0.0007   2026-09-08 10:28:18
   106    111    0.0067748701    0.0072170549     6963.3630435493    0.0033381784       65.8147664527     0.0007   2026-09-08 10:28:18
   107    112    0.0097328878    0.0106103583     6963.3544688984    0.0085746508      106.3635066490     0.0008   2026-09-08 10:28:18
   108    113    0.0121271888    0.0141031553     6963.3331466236    0.0213222748      166.4001878858     0.0007   2026-09-08 10:28:18
   109    114    0.0094212704    0.0151236122     6963.2843617741    0.0487848495      241.8938698146     0.0008   2026-09-08 10:28:18
   110    115    0.0096909655    0.0187796062     6963.1932725102    0.0910892639      295.7405734555     0.0007   2026-09-08 10:28:18
   111    116    0.0439470239    0.0468849546     6963.0822577937    0.1110147165      251.1625919038     0.0011   2026-09-08 10:28:18
   112    117    0.0591711285    0.0601604970     6963.0149353073    0.0673224865      113.8818624531     0.0008   2026-09-08 10:28:18
   113    118    0.0302411046    0.0313048729     6962.9994618989    0.0154734083       18.8848977183     0.0008   2026-09-08 10:28:18
   114    119    0.0037791699    0.0047163724     6962.9985052298    0.0009566691        1.4479059069     0.0008   2026-09-08 10:28:18
   115    120    0.0005025864    0.0006263285     6962.9984858795    0.0000193503        1.4247239087     0.0007   2026-09-08 10:28:18
   116    121    0.0001311315    0.0001328520     6962.9984855776    0.0000003019        1.4216311304     0.0007   2026-09-08 10:28:18
   117    122    0.0000472838    0.0000476697     6962.9984854146    0.0000001629        1.4205984417     0.0007   2026-09-08 10:28:18
   118    123    0.0001623884    0.0001636723     6962.9984845424    0.0000008722        1.4170163623     0.0009   2026-09-08 10:28:18
   119    124    0.0002094377    0.0002110790     6962.9984826971    0.0000018453        1.4122708887     0.0008   2026-09-08 10:28:18
   120    125    0.0003710480    0.0003739351     6962.9984774271    0.0000052700        1.4090890776     0.0007   2026-09-08 10:28:18
   121    126    0.0005778147    0.0005822975     6962.9984640890    0.0000133381        2.4553761329     0.0007   2026-09-08 10:28:18
   122    127    0.0009390013    0.0009464170     6962.9984288627    0.0000352263        4.1608569394     0.0007   2026-09-08 10:28:18
   123    128    0.0014800340    0.0014927747     6962.9983379934    0.0000908694        6.8625076364     0.0007   2026-09-08 10:28:18
   124    129    0.0022775222    0.0023030398     6962.9981058486    0.0002321448       11.0552041453     0.0007   2026-09-08 10:28:18
   125    130    0.0032216045    0.0032879853     6962.9975385765    0.0005672721       17.0770274289     0.0007   2026-09-08 10:28:18
   126    131    0.0036137354    0.0038499856     6962.9962888783    0.0012496983       24.0628761309     0.0007   2026-09-08 10:28:18
   127    132    0.0016808311    0.0027866720     6962.9941328633    0.0021560150       27.4924296865     0.0007   2026-09-08 10:28:18
   128    133    0.0043130405    0.0051585381     6962.9918708103    0.0022620530       20.4578046154     0.0007   2026-09-08 10:28:18
   129    134    0.0073377954    0.0075041590     6962.9908216355    0.0010491748        7.3779254504     0.0007   2026-09-08 10:28:18
   130    135    0.0035611773    0.0035923028     6962.9906520991    0.0001695364        0.8365207678     0.0010   2026-09-08 10:28:18
   131    136    0.0004692381    0.0005087483     6962.9906438745    0.0000082246        0.1902998221     0.0008   2026-09-08 10:28:18
   132    137    0.0000208924    0.0000355619     6962.9906437641    0.0000001104        0.1871351978     0.0007   2026-09-08 10:28:18
   133    138    0.0000057462    0.0000059910     6962.9906437610    0.0000000032        0.1869432233     0.0007   2026-09-08 10:28:18
   134    139    0.0000146818    0.0000152561     6962.9906437487    0.0000000122        0.1864707152     0.0007   2026-09-08 10:28:18
   135    140    0.0000200801    0.0000208644     6962.9906437214    0.0000000273        0.1858156262     0.0007   2026-09-08 10:28:19
   136    141    0.0000347065    0.0000360686     6962.9906436451    0.0000000763        0.1846552830     0.0007   2026-09-08 10:28:19
   137    142    0.0000545715    0.0000567339     6962.9906434503    0.0000001948        0.2282960400     0.0007   2026-09-08 10:28:19
   138    143    0.0000885578    0.0000921368     6962.9906429368    0.0000005135        0.3921501217     0.0007   2026-09-08 10:28:19
   139    144    0.0001406570    0.0001465904     6962.9906416048    0.0000013320        0.6538290341     0.0007   2026-09-08 10:28:19
   140    145    0.0002202747    0.0002305057     6962.9906381653    0.0000034395        1.0673833150     0.0007   2026-09-08 10:28:19
   141    146    0.0003279953    0.0003469873     6962.9906295118    0.0000086536        1.6930520793     0.0007   2026-09-08 10:28:19
   142    147    0.0004294011    0.0004705038     6962.9906090228    0.0000204890        2.5382427840     0.0007   2026-09-08 10:28:19
   143    148    0.0003737649    0.0004921045     6962.9905672707    0.0000417521        3.3442607192     0.0007   2026-09-08 10:28:19
   144    149    0.0002500757    0.0004675140     6962.9905062205    0.0000610503        3.3167288269     0.0008   2026-09-08 10:28:19
   145    150    0.0008436170    0.0009445965     6962.9904581829    0.0000480376        1.9195145118     0.0007   2026-09-08 10:28:19
   146    151    0.0008041112    0.0008363839     6962.9904431717    0.0000150112        0.4700218389     0.0008   2026-09-08 10:28:19
   147    152    0.0002332761    0.0002489803     6962.9904416611    0.0000015105        0.0216829176     0.0008   2026-09-08 10:28:19

<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','2.029149e-07','1.000000e-06'},true,true);;">stopping criteria details</a>>

__________________________________________________________________________________________________________________

<strong>Negative Binomial </strong><strong>
</strong>                                                                     
var.                                      coef.    st.err.  p-value   
Constant                                -1.4759***  0.0804   0.0000   
Consumer surplus per trip                0.0071***  0.0004   0.0000   
Household income (10k PLN)               1.0508***  0.0938   0.0000   
Male                                     0.0128     0.0579   0.8257   
Higher education                         0.1699**   0.0664   0.0105   
City                                    -0.0974     0.0594   0.1011   
Winter                                   0.8605***  0.0799   0.0000   
Hiking                                   0.7993***  0.0614   0.0000   
Skiing                                   1.4033***  0.2632   0.0000   
 
                                                                     
                                      Overdispersion parameters      
var.                                      coef.    st.err.            
ln alpha                                 1.1975     0.0358            
 
                                                                     
                                      Consumer Surplus               
var.                                      coef.    st.err.  p-value   
-1/(Consumer surplus per trip)        -140.7843***  7.1461   0.0000   
 
<strong>Model diagnostics: 
</strong>LL at convergence:             -6962.9904
LL at constant(s) only:        -7371.3737
McFadden's pseudo-R²:              0.0554
AIC/n:                             2.3819
BIC/n:                             2.3933
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                             1.1008         48.2013
median                           0.0000         62.5604
std                              6.6818         89.5536
min                              0.0000       -419.3898
max                            324.0000        210.9790
quantile 0.025                   0.0000       -152.5278
quantile 0.975                   7.0000        175.6466
 
 
Estimation completed on Tuesday, 2026-09-08 at 10:28:19
Estimation took 0.21359 seconds (0 hours 0 minutes 0.21359 seconds).

====================================================
mt_TC_MNL  (4 of 6)
====================================================
 
__________________________________________________________________________________________________________________
 
Estimating <strong>choice-task weighted </strong>MNL model ...
in preference-space ...
total weight:                    1922.0000
choice tasks:                        17298
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     4241.5275408350             NaN      653.6590533169     0.0001   2026-09-08 10:28:22
     1      2    1.0000000000    1.2462851414     3657.6551403682  583.8724004668      261.6625446275     0.0043   2026-09-08 10:28:22
     2      3    0.5951042819    0.8137735042     3453.9367429885  203.7183973798      131.9791530242     0.0038   2026-09-08 10:28:22
     3      4    0.4025319288    0.7195317642     3374.9156380185   79.0211049700       84.9522047410     0.0039   2026-09-08 10:28:22
     4      5    0.2777724197    0.3807065736     3345.8430942150   29.0725438035       63.7524967496     0.0042   2026-09-08 10:28:22
     5      6    0.2454923696    0.3753549720     3332.4074247202   13.4356694948       21.9528726192     0.0039   2026-09-08 10:28:22
     6      7    0.0355777640    0.0645830604     3330.5052292524    1.9021954677       17.6726719206     0.0038   2026-09-08 10:28:22
     7      8    0.1091208926    0.1867924770     3327.6654449488    2.8397843036       13.8019475216     0.0046   2026-09-08 10:28:22
     8      9    0.0460004745    0.0626207908     3327.1491159627    0.5163289861        7.8189826002     0.0048   2026-09-08 10:28:22
     9     10    0.0486778847    0.0572893995     3326.8210045722    0.3281113906        5.8226466934     0.0042   2026-09-08 10:28:22
    10     11    0.0372138574    0.0407379305     3326.6193277894    0.2016767827        6.6374826205     0.0041   2026-09-08 10:28:22
    11     12    0.0823784581    0.0924909113     3326.2356508088    0.3836769806        8.9619716668     0.0042   2026-09-08 10:28:22
    12     13    0.0689825067    0.0836931168     3325.9580280590    0.2776227498        6.4289962501     0.0038   2026-09-08 10:28:22
    13     14    0.0408238728    0.0582933536     3325.7947501506    0.1632779084        5.2825355604     0.0039   2026-09-08 10:28:22
    14     15    0.0169113435    0.0294544092     3325.7142790913    0.0804710593        3.7525502578     0.0059   2026-09-08 10:28:22
    15     16    0.0176797657    0.0224500117     3325.6603166867    0.0539624046        2.1464129207     0.0040   2026-09-08 10:28:22
    16     17    0.0123714873    0.0177147460     3325.6282302201    0.0320864666        1.8699228256     0.0042   2026-09-08 10:28:22
    17     18    0.0095719578    0.0152865635     3325.6078526379    0.0203775822        1.4367042966     0.0041   2026-09-08 10:28:22
    18     19    0.0108508024    0.0158288115     3325.5905640771    0.0172885608        1.4731291141     0.0041   2026-09-08 10:28:22
    19     20    0.0128036616    0.0185869877     3325.5729513277    0.0176127494        1.6987483676     0.0037   2026-09-08 10:28:22
    20     21    0.0105185247    0.0164596299     3325.5596209027    0.0133304251        1.1276454615     0.0041   2026-09-08 10:28:22
    21     22    0.0048389840    0.0102061067     3325.5527673746    0.0068535281        0.8799188233     0.0045   2026-09-08 10:28:22
    22     23    0.0035132319    0.0054076947     3325.5498894409    0.0028779336        0.4644131398     0.0042   2026-09-08 10:28:22
    23     24    0.0017667017    0.0029359738     3325.5486783853    0.0012110556        0.3219178908     0.0039   2026-09-08 10:28:22
    24     25    0.0010621603    0.0016986214     3325.5482578748    0.0004205106        0.1888174352     0.0044   2026-09-08 10:28:22
    25     26    0.0009138525    0.0011447025     3325.5481208860    0.0001369888        0.1439189465     0.0040   2026-09-08 10:28:22
    26     27    0.0009505350    0.0010402491     3325.5480187091    0.0001021769        0.1009499842     0.0040   2026-09-08 10:28:22
    27     28    0.0013212804    0.0014032152     3325.5478931947    0.0001255144        0.1476258401     0.0036   2026-09-08 10:28:22
    28     29    0.0009544865    0.0012527183     3325.5478079476    0.0000852471        0.1015125113     0.0044   2026-09-08 10:28:22
    29     30    0.0004602041    0.0006683656     3325.5477838502    0.0000240974        0.0285358417     0.0041   2026-09-08 10:28:22
    30     31    0.0001536443    0.0002260894     3325.5477817049    0.0000021454        0.0022418483     0.0039   2026-09-08 10:28:22
    31     32    0.0000407081    0.0000444168     3325.5477816470    0.0000000579        0.0002492918     0.0044   2026-09-08 10:28:22

<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','3.807965e-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           1.4723***  0.0838   0.0000   
Babiogorski         -1.0831***  0.1494   0.0000   
Bieszczadzki         1.2139***  0.1013   0.0000   
Gorczanski          -1.5682***  0.1978   0.0000   
GorStolowych         0.0566     0.1010   0.5749   
Karkonoski           0.4495***  0.0919   0.0000   
Magurski            -1.0659***  0.1607   0.0000   
Pieninski            0.1214     0.1057   0.2510   
-TC/100              1.0634***  0.0455   0.0000   
 
<strong>Model diagnostics: 
</strong>LL at convergence:             -3325.5478
LL at constant(s) only:        -3664.0177
McFadden's pseudo-R²:              0.0924
Ben-Akiva-Lerman's pseudo-R²:      0.0645
AIC/n:                             0.3855
BIC/n:                             0.3896
n (observations):              17298
r (respondents):                1922
k (parameters):                    9
 
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 10:28:23
Estimation took 0.11768 seconds (0 hours 0 minutes 0.11768 seconds).
 
__________________________________________________________________________________________________________________
 
Estimating Negative Binomial (NB2) regression model ...
without truncation
without censoring.
Using linear regression estimates as starting values
Initial values: [-0.53 0.0022 0.14 0.045 0.086 -0.016 0.33 0.56 0.35 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     7868.5955695512             NaN   102092.2950029962     0.0001   2026-09-08 10:28:23
     1      5    0.0042500591    0.0042503672     7655.5966579854  212.9989115658      924.5017003721     0.0036   2026-09-08 10:28:23
     2      7    0.0003857620    0.0004528401     7655.1324193195    0.4642386659      979.6705038443     0.0015   2026-09-08 10:28:23
     3      8    0.0064595896    0.0075492609     7649.1805833754    5.9518359441     9752.0352580761     0.0009   2026-09-08 10:28:23
     4      9    0.0145644037    0.0170035131     7637.9092091689   11.2713742065    19509.7762150123     0.0008   2026-09-08 10:28:23
     5     10    0.0452095798    0.0527665374     7606.2447353574   31.6644738115    35185.8932164761     0.0008   2026-09-08 10:28:23
     6     11    0.1066990888    0.1245209244     7537.9401256080   68.3046097494    51645.4757174523     0.0007   2026-09-08 10:28:23
     7     12    0.2165861448    0.2527473446     7416.9025057533  121.0376198547    59863.3853093603     0.0008   2026-09-08 10:28:23
     8     13    0.2689963573    0.3138911900     7296.5043103996  120.3981953537    52489.1371555595     0.0009   2026-09-08 10:28:23
     9     14    0.1781626071    0.2078808355     7220.8281746968   75.6761357028    37547.8402235504     0.0007   2026-09-08 10:28:23
    10     15    0.0806042679    0.0940370317     7169.6775899914   51.1505847054    16685.2144392566     0.0008   2026-09-08 10:28:23
    11     16    0.0169990561    0.0199251281     7156.6868500941   12.9907398973      447.5634535617     0.0009   2026-09-08 10:28:23
    12     17    0.0190028616    0.0221918002     7156.2540079093    0.4328421849      436.3005230000     0.0011   2026-09-08 10:28:23
    13     18    0.0109094550    0.0127551818     7156.1541257062    0.0998822030      428.3283133665     0.0009   2026-09-08 10:28:23
    14     19    0.0024616773    0.0028999944     7156.1113490231    0.0427766831      426.2823302453     0.0010   2026-09-08 10:28:23
    15     20    0.0126959227    0.0151011669     7155.7634660319    0.3478829912      415.0906691649     0.0009   2026-09-08 10:28:23
    16     21    0.0144175481    0.0174903561     7155.0835145860    0.6799514460      901.5161985774     0.0008   2026-09-08 10:28:23
    17     22    0.0245023612    0.0308280339     7153.0843795346    1.9991350514     1802.1573043897     0.0008   2026-09-08 10:28:23
    18     23    0.0318168767    0.0434641280     7148.1943296183    4.8900499163     3134.9115001667     0.0007   2026-09-08 10:28:23
    19     24    0.0348769254    0.0603990776     7135.9193018601   12.2750277582     5054.3708147463     0.0012   2026-09-08 10:28:23
    20     25    0.0466436383    0.0755215336     7108.3942290175   27.5250728427     7069.5006608003     0.0012   2026-09-08 10:28:23
    21     26    0.0841380680    0.1306132040     7056.8886459892   51.5055830283     7626.7879770660     0.0010   2026-09-08 10:28:23
    22     27    0.2240402879    0.2463954154     6999.6607531016   57.2278928876     5594.6721094460     0.0009   2026-09-08 10:28:23
    23     28    0.1646485259    0.1745222307     6983.0031214041   16.6576316975     2929.9991826673     0.0012   2026-09-08 10:28:23
    24     29    0.0283311113    0.0359315712     6981.2500395088    1.7530818953     1156.8061487489     0.0010   2026-09-08 10:28:23
    25     30    0.0093157129    0.0151627556     6980.8971383513    0.3529011574       45.0722051137     0.0008   2026-09-08 10:28:23
    26     31    0.0024220521    0.0031245021     6980.8902003084    0.0069380429       45.8533740677     0.0008   2026-09-08 10:28:23
    27     32    0.0004521473    0.0004870127     6980.8898697405    0.0003305679       45.8963582865     0.0009   2026-09-08 10:28:23
    28     33    0.0004509397    0.0004817595     6980.8893489701    0.0005207704       45.9277233155     0.0008   2026-09-08 10:28:23
    29     34    0.0007694442    0.0008180137     6980.8878993479    0.0014496222       56.3670863748     0.0012   2026-09-08 10:28:23
    30     35    0.0012068755    0.0012724177     6980.8842088386    0.0036905094      119.8744608934     0.0012   2026-09-08 10:28:23
    31     36    0.0019826040    0.0020655781     6980.8744497025    0.0097591360      224.1884147045     0.0012   2026-09-08 10:28:23
    32     37    0.0032208704    0.0033102005     6980.8490283801    0.0254213224      392.2940792336     0.0012   2026-09-08 10:28:23
    33     38    0.0052802621    0.0053908043     6980.7825873220    0.0664410581      663.6540612400     0.0008   2026-09-08 10:28:23
    34     39    0.0086427483    0.0090665256     6980.6103286381    0.1722586839     1096.4357223550     0.0008   2026-09-08 10:28:23
    35     40    0.0140201928    0.0165201727     6980.1705214660    0.4398071720     1768.4750592262     0.0009   2026-09-08 10:28:23
    36     41    0.0217587345    0.0333837277     6979.0954566706    1.0750647954     2731.5318535581     0.0010   2026-09-08 10:28:23
    37     42    0.0424759654    0.0693757642     6976.7451835134    2.3502731571     3806.6012012436     0.0008   2026-09-08 10:28:23
    38     43    0.0834736692    0.1225449141     6972.7775223980    3.9676611155     4155.7000879547     0.0008   2026-09-08 10:28:23
    39     44    0.1011653196    0.1423855898     6968.5808994454    4.1966229526     2838.4939615742     0.0008   2026-09-08 10:28:23
    40     45    0.0572747895    0.0866651144     6966.4126781922    2.1682212532      967.1280469210     0.0007   2026-09-08 10:28:23
    41     46    0.0222717286    0.0228947698     6966.1091404488    0.3035377434      175.9981514065     0.0007   2026-09-08 10:28:23
    42     47    0.0043248042    0.0069253378     6966.0996358794    0.0095045694       30.0929656027     0.0007   2026-09-08 10:28:23
    43     48    0.0012850026    0.0018161030     6966.0992807200    0.0003551594       13.5129500383     0.0008   2026-09-08 10:28:23
    44     49    0.0001469225    0.0002145784     6966.0992479842    0.0000327358       13.5180981932     0.0008   2026-09-08 10:28:23
    45     50    0.0003180549    0.0004721920     6966.0991311142    0.0001168701       13.5297242074     0.0008   2026-09-08 10:28:23
    46     51    0.0004175439    0.0006207621     6966.0988751095    0.0002560047       24.5201425024     0.0008   2026-09-08 10:28:23
    47     52    0.0007226396    0.0010704708     6966.0981566827    0.0007184267       48.2748536350     0.0008   2026-09-08 10:28:23
    48     53    0.0011331795    0.0016677271     6966.0963249363    0.0018317464       85.7375104609     0.0013   2026-09-08 10:28:23
    49     54    0.0018436990    0.0026909042     6966.0914866619    0.0048382744      146.9571175685     0.0010   2026-09-08 10:28:23
    50     55    0.0029396027    0.0042630529     6966.0789139870    0.0125726750      245.1357094901     0.0010   2026-09-08 10:28:23
    51     56    0.0046477096    0.0068093568     6966.0462867421    0.0326272449      401.7936886502     0.0008   2026-09-08 10:28:23
    52     57    0.0070752807    0.0111469970     6965.9632864581    0.0830002840      643.9266498802     0.0008   2026-09-08 10:28:23
    53     58    0.0110383953    0.0196933661     6965.7616930316    0.2015934265      988.4482969984     0.0007   2026-09-08 10:28:23
    54     59    0.0193055493    0.0375554666     6965.3269951312    0.4346979004     1369.8931249721     0.0008   2026-09-08 10:28:23
    55     60    0.0396746598    0.0652724215     6964.6121134323    0.7148816989     1499.2654427153     0.0007   2026-09-08 10:28:23
    56     61    0.0477707125    0.0764923958     6963.9127239122    0.6993895201     1025.8659359366     0.0007   2026-09-08 10:28:23
    57     62    0.0234055179    0.0443437381     6963.6194948174    0.2932290947      321.7441470646     0.0007   2026-09-08 10:28:23
    58     63    0.0085284990    0.0126218555     6963.5836266290    0.0358681885       31.3860982144     0.0008   2026-09-08 10:28:23
    59     64    0.0018286715    0.0035663751     6963.5823301640    0.0012964649       10.6519642598     0.0008   2026-09-08 10:28:23
    60     65    0.0003569131    0.0005768537     6963.5822955573    0.0000346067       10.5954202896     0.0010   2026-09-08 10:28:23
    61     66    0.0001593602    0.0002564995     6963.5822718068    0.0000237505       10.5741937527     0.0011   2026-09-08 10:28:23
    62     67    0.0004353024    0.0007040930     6963.5821686471    0.0001031597       10.5162830742     0.0009   2026-09-08 10:28:23
    63     68    0.0005818986    0.0009500331     6963.5819393433    0.0002293038       10.4369718069     0.0008   2026-09-08 10:28:23
    64     69    0.0009817267    0.0016278075     6963.5812981204    0.0006412229       16.5312718792     0.0007   2026-09-08 10:28:23
    65     70    0.0014745509    0.0025127406     6963.5796613037    0.0016368167       29.2747798090     0.0007   2026-09-08 10:28:23
    66     71    0.0022150471    0.0039688293     6963.5753427248    0.0043185789       50.0509522379     0.0008   2026-09-08 10:28:23
    67     72    0.0030507234    0.0060494574     6963.5641322643    0.0112104605       83.2906362232     0.0008   2026-09-08 10:28:23
    68     73    0.0041243928    0.0089803924     6963.5351270654    0.0290051989      136.0349296518     0.0008   2026-09-08 10:28:23
    69     74    0.0070609749    0.0129859312     6963.4618481454    0.0732789200      216.5323066031     0.0008   2026-09-08 10:28:23
    70     75    0.0121124421    0.0206218268     6963.2868037406    0.1750444048      327.5299679935     0.0008   2026-09-08 10:28:23
    71     76    0.0288105894    0.0422067931     6962.9238094781    0.3629942625      439.6460359960     0.0007   2026-09-08 10:28:23
    72     77    0.0674317639    0.0823841854     6962.3752458117    0.5485636664      450.5313030571     0.0008   2026-09-08 10:28:23
    73     78    0.0826300630    0.0996144261     6961.9132316574    0.4620141543      271.9430743388     0.0008   2026-09-08 10:28:23
    74     79    0.0405295970    0.0545423055     6961.7521850946    0.1610465628       65.7348580952     0.0008   2026-09-08 10:28:23
    75     80    0.0061402419    0.0112976877     6961.7352223698    0.0169627248       10.6091123339     0.0008   2026-09-08 10:28:23
    76     81    0.0022865651    0.0030543896     6961.7346948848    0.0005274850       10.5126728405     0.0007   2026-09-08 10:28:23
    77     82    0.0004332817    0.0005178661     6961.7346780609    0.0000168238       10.4822050767     0.0008   2026-09-08 10:28:23
    78     83    0.0003465013    0.0004148055     6961.7346569257    0.0000211352       10.4565324087     0.0009   2026-09-08 10:28:23
    79     84    0.0007119160    0.0008544840     6961.7345871416    0.0000697841       10.4030446574     0.0009   2026-09-08 10:28:23
    80     85    0.0010434947    0.0012580086     6961.7344188973    0.0001682443       10.3232941478     0.0009   2026-09-08 10:28:23
    81     86    0.0017148076    0.0020825318     6961.7339639730    0.0004549243       11.6578447505     0.0009   2026-09-08 10:28:23
    82     87    0.0026535732    0.0032637716     6961.7327878725    0.0011761006       20.2814011667     0.0008   2026-09-08 10:28:23
    83     88    0.0040872016    0.0051427590     6961.7296977885    0.0030900840       34.2828225521     0.0007   2026-09-08 10:28:23
    84     89    0.0059907599    0.0078762330     6961.7216485229    0.0080492656       56.7849568451     0.0007   2026-09-08 10:28:23
    85     90    0.0080523014    0.0116550808     6961.7007500865    0.0208984365       92.7061334416     0.0008   2026-09-08 10:28:23
    86     91    0.0111298254    0.0162658024     6961.6473727132    0.0533773733      148.5388177677     0.0007   2026-09-08 10:28:23
    87     92    0.0184268237    0.0221715467     6961.5163949144    0.1309777988      229.4614291504     0.0007   2026-09-08 10:28:23
    88     93    0.0277819994    0.0400887887     6961.2258698582    0.2905250562      325.5679511497     0.0008   2026-09-08 10:28:23
    89     94    0.0853743464    0.0924908402     6960.7108572316    0.5150126266      381.1937819043     0.0014   2026-09-08 10:28:23
    90     95    0.1535786706    0.1559030912     6960.1122959183    0.5985613132      303.1148990891     0.0008   2026-09-08 10:28:23
    91     96    0.1340582898    0.1381073842     6959.7833281533    0.3289677650      118.1474796967     0.0008   2026-09-08 10:28:23
    92     97    0.0359428165    0.0422198599     6959.7316927108    0.0516354425       14.4249618003     0.0011   2026-09-08 10:28:23
    93     98    0.0044510154    0.0058443564     6959.7290924288    0.0026002820        4.8865815181     0.0010   2026-09-08 10:28:23
    94     99    0.0025263977    0.0026138771     6959.7289883869    0.0001040419        4.8124308529     0.0009   2026-09-08 10:28:23
    95    100    0.0003631934    0.0003674384     6959.7289848553    0.0000035316        4.8032645113     0.0008   2026-09-08 10:28:23
    96    101    0.0003485175    0.0003536095     6959.7289794651    0.0000053902        4.7943586221     0.0008   2026-09-08 10:28:23
    97    102    0.0006477742    0.0006576593     6959.7289633166    0.0000161486        4.7774947626     0.0008   2026-09-08 10:28:23
    98    103    0.0009890831    0.0010048747     6959.7289230998    0.0000402168        4.7510332420     0.0008   2026-09-08 10:28:23
    99    104    0.0016197881    0.0016475150     6959.7288157942    0.0001073056        4.7058302746     0.0008   2026-09-08 10:28:23
   100    105    0.0025621608    0.0026111868     6959.7285372773    0.0002785169        7.8837565222     0.0008   2026-09-08 10:28:23
   101    106    0.0040466135    0.0041390127     6959.7278087330    0.0007285443       13.2269280219     0.0010   2026-09-08 10:28:23
   102    107    0.0062051131    0.0063924112     6959.7259227224    0.0018860106       21.7229818522     0.0011   2026-09-08 10:28:23
   103    108    0.0090031095    0.0094255459     6959.7211169222    0.0048058002       34.8582089941     0.0010   2026-09-08 10:28:23
   104    109    0.0113078320    0.0124043149     6959.7094203850    0.0116965372       53.5490159032     0.0010   2026-09-08 10:28:23
   105    110    0.0088010608    0.0124216527     6959.6840469744    0.0253734106       74.4074729666     0.0010   2026-09-08 10:28:23
   106    111    0.0076587513    0.0138541677     6959.6421089846    0.0419379898       82.1301649706     0.0010   2026-09-08 10:28:23
   107    112    0.0327109204    0.0339299242     6959.6014677093    0.0406412753       57.5175530504     0.0010   2026-09-08 10:28:23
   108    113    0.0355126282    0.0356513510     6959.5837594581    0.0177082512       19.1312237170     0.0010   2026-09-08 10:28:23
   109    114    0.0134162735    0.0138164196     6959.5810780918    0.0026813663        1.6687000994     0.0010   2026-09-08 10:28:23
   110    115    0.0009192388    0.0013415118     6959.5809732421    0.0001048497        1.0873044632     0.0009   2026-09-08 10:28:23
   111    116    0.0002019661    0.0002244065     6959.5809716328    0.0000016093        1.0848888713     0.0012   2026-09-08 10:28:23
   112    117    0.0000369600    0.0000373231     6959.5809715221    0.0000001107        1.0843670124     0.0008   2026-09-08 10:28:23
   113    118    0.0001258707    0.0001269348     6959.5809709487    0.0000005734        1.0825352848     0.0011   2026-09-08 10:28:23
   114    119    0.0001604779    0.0001618015     6959.5809697498    0.0000011989        1.0800823244     0.0010   2026-09-08 10:28:23
   115    120    0.0002859269    0.0002882362     6959.5809663087    0.0000034411        1.0753821281     0.0009   2026-09-08 10:28:23
   116    121    0.0004444654    0.0004479706     6959.5809576183    0.0000086904        1.2099063428     0.0009   2026-09-08 10:28:23
   117    122    0.0007226549    0.0007282917     6959.5809346699    0.0000229484        2.0724202588     0.0010   2026-09-08 10:28:23
   118    123    0.0011366409    0.0011460355     6959.5808756183    0.0000590516        3.4335556507     0.0010   2026-09-08 10:28:23
   119    124    0.0017377587    0.0017565745     6959.5807255910    0.0001500273        5.5262002590     0.0011   2026-09-08 10:28:23
   120    125    0.0024066963    0.0024589234     6959.5803641826    0.0003614084        8.4541367000     0.0010   2026-09-08 10:28:23
   121    126    0.0025157795    0.0027227877     6959.5795949295    0.0007692531       11.5884583608     0.0009   2026-09-08 10:28:23
   122    127    0.0013399326    0.0018974357     6959.5783639213    0.0012310082       12.4334527032     0.0007   2026-09-08 10:28:23
   123    128    0.0036690754    0.0041756205     6959.5772365891    0.0011273322        8.2322243415     0.0007   2026-09-08 10:28:23
   124    129    0.0048344801    0.0049258868     6959.5768052432    0.0004313460        2.4782929679     0.0008   2026-09-08 10:28:23
   125    130    0.0018930316    0.0019125114     6959.5767497535    0.0000554896        0.1931552163     0.0010   2026-09-08 10:28:23
   126    131    0.0001781866    0.0002056837     6959.5767476680    0.0000020856        0.0608630577     0.0008   2026-09-08 10:28:23

<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','5.961514e-07','1.000000e-06'},true,true);;">stopping criteria details</a>>

__________________________________________________________________________________________________________________

<strong>Negative Binomial </strong><strong>
</strong>                                                                     
var.                                      coef.    st.err.  p-value   
Constant                                -1.0232***  0.0703   0.0000   
Consumer surplus per trip                0.0076***  0.0004   0.0000   
Household income (10k PLN)               0.3547***  0.0831   0.0000   
Male                                    -0.0004     0.0579   0.9939   
Higher education                         0.1581**   0.0662   0.0170   
City                                    -0.0996*    0.0594   0.0933   
Winter                                   0.8629***  0.0799   0.0000   
Hiking                                   0.7930***  0.0613   0.0000   
Skiing                                   1.3781***  0.2633   0.0000   
 
                                                                     
                                      Overdispersion parameters      
var.                                      coef.    st.err.            
ln alpha                                 1.1950     0.0359            
 
                                                                     
                                      Consumer Surplus               
var.                                      coef.    st.err.  p-value   
-1/(Consumer surplus per trip)        -131.0258***  6.5871   0.0000   
 
<strong>Model diagnostics: 
</strong>LL at convergence:             -6959.5767
LL at constant(s) only:        -7371.3737
McFadden's pseudo-R²:              0.0559
AIC/n:                             2.3807
BIC/n:                             2.3921
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                             1.1008         32.0895
median                           0.0000         39.3377
std                              6.6818         77.0938
min                              0.0000       -171.4994
max                            324.0000        185.6881
quantile 0.025                   0.0000       -126.8681
quantile 0.975                   7.0000        144.4444
 
 
Estimation completed on Tuesday, 2026-09-08 at 10:28:24
Estimation took 0.1984 seconds (0 hours 0 minutes 0.1984 seconds).

====================================================
mt_TC_MXL  (5 of 6)
====================================================
 
__________________________________________________________________________________________________________________
 
Estimating <strong>choice-task weighted </strong>MNL model ...
in preference-space ...
total weight:                    1922.0000
choice tasks:                        17298
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     4240.8812288200             NaN      622.1152361514     0.0000   2026-09-08 10:28:26
     1      2    1.0000000000    1.2691605248     3648.8121313055  592.0690975146      251.5363480649     0.0042   2026-09-08 10:28:27
     2      3    0.6434141085    0.8891216717     3443.3583658191  205.4537654864      126.3544366990     0.0041   2026-09-08 10:28:27
     3      4    0.3768737934    0.6266619417     3377.6697580975   65.6886077216       79.0486494758     0.0051   2026-09-08 10:28:27
     4      5    0.3368297761    0.4665602104     3347.8013100796   29.8684480179       49.7810341373     0.0040   2026-09-08 10:28:27
     5      6    0.1443948686    0.2504106045     3340.2156395181    7.5856705615       19.5037546089     0.0041   2026-09-08 10:28:27
     6      7    0.0521762208    0.0925207491     3338.0321677581    2.1834717600       18.5730796628     0.0050   2026-09-08 10:28:27
     7      8    0.0978166537    0.1604674808     3335.7974030296    2.2347647285       12.4491697078     0.0055   2026-09-08 10:28:27
     8      9    0.0499158558    0.0681669873     3335.2000144825    0.5973885471        7.0770922472     0.0044   2026-09-08 10:28:27
     9     10    0.0482745918    0.0574155748     3334.8347353749    0.3652791076        6.5030768097     0.0041   2026-09-08 10:28:27
    10     11    0.0429494649    0.0486068203     3334.5793616037    0.2553737711        7.9220399616     0.0041   2026-09-08 10:28:27
    11     12    0.0862794001    0.1000698950     3334.1472051959    0.4321564078       11.0232000854     0.0042   2026-09-08 10:28:27
    12     13    0.0798301291    0.0985024073     3333.8109442070    0.3362609889        8.1072162844     0.0043   2026-09-08 10:28:27
    13     14    0.0443253589    0.0632501827     3333.6316519989    0.1792922081        4.5244273592     0.0042   2026-09-08 10:28:27
    14     15    0.0160112285    0.0270801618     3333.5549131816    0.0767388173        3.0993793393     0.0042   2026-09-08 10:28:27
    15     16    0.0153958279    0.0200093417     3333.5069398977    0.0479732839        2.0667459625     0.0038   2026-09-08 10:28:27
    16     17    0.0115170626    0.0173391547     3333.4760745341    0.0308653636        1.7568516285     0.0041   2026-09-08 10:28:27
    17     18    0.0105841461    0.0162003353     3333.4546597939    0.0214147402        1.4551213663     0.0045   2026-09-08 10:28:27
    18     19    0.0116064209    0.0165531444     3333.4372782051    0.0173815888        1.4304833237     0.0040   2026-09-08 10:28:27
    19     20    0.0124275738    0.0178222604     3333.4214533351    0.0158248700        1.6537691643     0.0039   2026-09-08 10:28:27
    20     21    0.0089332128    0.0140475861     3333.4109296211    0.0105237140        1.0563732736     0.0045   2026-09-08 10:28:27
    21     22    0.0040832369    0.0073576150     3333.4065425580    0.0043870631        0.5728563729     0.0041   2026-09-08 10:28:27
    22     23    0.0025538004    0.0035258207     3333.4051574419    0.0013851161        0.3189097631     0.0039   2026-09-08 10:28:27
    23     24    0.0011006758    0.0018079441     3333.4046710062    0.0004864357        0.2114776492     0.0040   2026-09-08 10:28:27
    24     25    0.0007999583    0.0011373081     3333.4044721925    0.0001988137        0.1523777344     0.0042   2026-09-08 10:28:27
    25     26    0.0009035736    0.0010053244     3333.4043663065    0.0001058860        0.1101237547     0.0040   2026-09-08 10:28:27
    26     27    0.0011120656    0.0011706459     3333.4042665953    0.0000997112        0.1139369023     0.0039   2026-09-08 10:28:27
    27     28    0.0010792642    0.0012099665     3333.4041813420    0.0000852533        0.1185648542     0.0042   2026-09-08 10:28:27
    28     29    0.0004518888    0.0007397888     3333.4041457504    0.0000355916        0.0536965006     0.0041   2026-09-08 10:28:27
    29     30    0.0002071401    0.0003020707     3333.4041403678    0.0000053825        0.0087851183     0.0040   2026-09-08 10:28:27
    30     31    0.0000708778    0.0000868223     3333.4041401104    0.0000002574        0.0007543397     0.0039   2026-09-08 10:28:27
    31     32    0.0000098068    0.0000108819     3333.4041401064    0.0000000040        0.0001215294     0.0043   2026-09-08 10:28:27

<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','1.950351e-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           1.4551***  0.0835   0.0000   
Babiogorski         -1.1026***  0.1492   0.0000   
Bieszczadzki         1.1733***  0.1005   0.0000   
Gorczanski          -1.5943***  0.1976   0.0000   
GorStolowych         0.0350     0.1007   0.7282   
Karkonoski           0.4319***  0.0917   0.0000   
Magurski            -1.0890***  0.1605   0.0000   
Pieninski            0.1016     0.1054   0.3353   
-TC/100              1.0852***  0.0470   0.0000   
 
<strong>Model diagnostics: 
</strong>LL at convergence:             -3333.4041
LL at constant(s) only:        -3664.0177
McFadden's pseudo-R²:              0.0902
Ben-Akiva-Lerman's pseudo-R²:      0.0648
AIC/n:                             0.3864
BIC/n:                             0.3905
n (observations):              17298
r (respondents):                1922
k (parameters):                    9
 
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 10:28:27
Estimation took 0.1139 seconds (0 hours 0 minutes 0.1139 seconds).
 
__________________________________________________________________________________________________________________
 
Estimating Negative Binomial (NB2) regression model ...
without truncation
without censoring.
Using linear regression estimates as starting values
Initial values: [-0.55 0.002 0.16 0.041 0.087 -0.014 0.34 0.58 0.37 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     7912.1403719904             NaN    93694.3434506410     0.0000   2026-09-08 10:28:28
     1      5    0.0038250165    0.0038253649     7735.1162482302  177.0241237602      964.6400795080     0.0042   2026-09-08 10:28:28
     2      7    0.0003961823    0.0004597890     7734.7546413913    0.3616068388     2374.6964451640     0.0024   2026-09-08 10:28:28
     3      8    0.0009058500    0.0010211961     7733.9123551816    0.8422862098     4195.1080894866     0.0013   2026-09-08 10:28:28
     4      9    0.0087382592    0.0098300458     7727.0545918892    6.8577632923    13629.5351121635     0.0010   2026-09-08 10:28:28
     5     10    0.0189754549    0.0213325144     7713.7653399717   13.2892519176    24336.8899931422     0.0008   2026-09-08 10:28:28
     6     11    0.0570220223    0.0640927921     7676.5425186683   37.2228213034    41279.5469527043     0.0014   2026-09-08 10:28:28
     7     12    0.1349870188    0.1517136929     7594.6889864347   81.8535322336    58849.2600497269     0.0012   2026-09-08 10:28:28
     8     13    0.2767734967    0.3110565343     7448.7308762533  145.9581101814    66458.9911413355     0.0013   2026-09-08 10:28:28
     9     14    0.3311073101    0.3721075632     7313.5890662529  135.1418100004    57734.0043357074     0.0014   2026-09-08 10:28:28
    10     15    0.1901204941    0.2136521797     7232.0580027177   81.5310635352    43832.6641354426     0.0010   2026-09-08 10:28:28
    11     16    0.0970142938    0.1090239863     7155.3708777009   76.6871250167    21061.9273413593     0.0010   2026-09-08 10:28:28
    12     17    0.0273573835    0.0308461811     7132.1869194576   23.1839582433      746.0176237283     0.0010   2026-09-08 10:28:28
    13     18    0.0181884134    0.0204489304     7131.8060081067    0.3809113509      365.6182829700     0.0012   2026-09-08 10:28:28
    14     19    0.0119936672    0.0134942699     7131.7163219619    0.0896861448      359.7562193778     0.0011   2026-09-08 10:28:28
    15     20    0.0016129757    0.0018266160     7131.6916493345    0.0246726274      358.8600554857     0.0015   2026-09-08 10:28:28
    16     21    0.0139905018    0.0159672380     7131.3606289059    0.3310204286      384.4330982498     0.0011   2026-09-08 10:28:28
    17     22    0.0150124354    0.0174204379     7130.7539322411    0.6066966648      767.0574650333     0.0008   2026-09-08 10:28:28
    18     23    0.0266890949    0.0319344587     7128.9280301646    1.8259020766     1480.6010496091     0.0007   2026-09-08 10:28:28
    19     24    0.0349840903    0.0448921565     7124.5705330296    4.3574971350     2501.8626808787     0.0007   2026-09-08 10:28:28
    20     25    0.0398756092    0.0624936775     7113.9615531285   10.6089799011     3886.9794990807     0.0007   2026-09-08 10:28:28
    21     26    0.0448739427    0.0744677745     7091.9527747503   22.0087783782     5056.9067894950     0.0010   2026-09-08 10:28:28
    22     27    0.0711822866    0.1166279185     7056.1202970678   35.8324776824     4809.8015726116     0.0010   2026-09-08 10:28:28
    23     28    0.1736141731    0.1925811232     7024.6994239113   31.4208731565     2992.7503912795     0.0010   2026-09-08 10:28:28
    24     29    0.1034890640    0.1102847208     7018.2908613061    6.4085626052     1153.8916991894     0.0010   2026-09-08 10:28:28
    25     30    0.0146589233    0.0195582731     7017.8440038392    0.4468574670      270.0378625834     0.0008   2026-09-08 10:28:28
    26     31    0.0039038733    0.0065885946     7017.7911648050    0.0528390341       45.6035555233     0.0008   2026-09-08 10:28:28
    27     32    0.0008145577    0.0010850531     7017.7901769198    0.0009878852       45.8382780413     0.0007   2026-09-08 10:28:28
    28     33    0.0002434114    0.0002795962     7017.7899040459    0.0002728739       45.8783751422     0.0007   2026-09-08 10:28:28
    29     34    0.0007396432    0.0008389699     7017.7886267185    0.0012773274       45.9928058012     0.0007   2026-09-08 10:28:28
    30     35    0.0009806162    0.0011018331     7017.7858672340    0.0027594845       59.2397876258     0.0007   2026-09-08 10:28:28
    31     36    0.0017339386    0.0019245067     7017.7780551158    0.0078121182      117.5217243990     0.0007   2026-09-08 10:28:28
    32     37    0.0027441482    0.0029981847     7017.7582029967    0.0198521191      208.9180584658     0.0007   2026-09-08 10:28:28
    33     38    0.0045481006    0.0049009017     7017.7057552175    0.0524477792      358.1800318954     0.0007   2026-09-08 10:28:28
    34     39    0.0074328406    0.0080676729     7017.5699169203    0.1358382972      596.3412313034     0.0007   2026-09-08 10:28:28
    35     40    0.0121722225    0.0142493858     7017.2201975198    0.3497194005      971.1786363251     0.0007   2026-09-08 10:28:28
    36     41    0.0193345350    0.0279086516     7016.3505939318    0.8696035880     1526.0466493363     0.0007   2026-09-08 10:28:28
    37     42    0.0337610820    0.0584520262     7014.3652356852    1.9853582466     2211.6289168976     0.0007   2026-09-08 10:28:28
    38     43    0.0741481632    0.1109526084     7010.6916305678    3.6736051174     2628.7422447927     0.0007   2026-09-08 10:28:28
    39     44    0.1064619672    0.1490703963     7006.1521130355    4.5395175323     2089.7616609340     0.0007   2026-09-08 10:28:28
    40     45    0.0804392003    0.1138413620     7003.0839729313    3.0681401042      917.8123688032     0.0010   2026-09-08 10:28:28
    41     46    0.0303311968    0.0384065285     7002.3838806543    0.7000922770      216.0143805770     0.0009   2026-09-08 10:28:28
    42     47    0.0056153864    0.0091202098     7002.3554541534    0.0284265009       31.0314225017     0.0008   2026-09-08 10:28:28
    43     48    0.0019060931    0.0027356523     7002.3546579109    0.0007962424       13.9846993990     0.0009   2026-09-08 10:28:28
    44     49    0.0003137261    0.0004350976     7002.3546160403    0.0000418706       13.9941366023     0.0009   2026-09-08 10:28:28
    45     50    0.0002783174    0.0003851015     7002.3545558204    0.0000602199       14.0027218054     0.0008   2026-09-08 10:28:28
    46     51    0.0005451562    0.0007521361     7002.3543666800    0.0001891403       14.0194970459     0.0008   2026-09-08 10:28:28
    47     52    0.0008227166    0.0011297918     7002.3539031038    0.0004635762       14.0446161712     0.0008   2026-09-08 10:28:28
    48     53    0.0013686291    0.0018660564     7002.3526578626    0.0012452412       17.8246846100     0.0010   2026-09-08 10:28:28
    49     54    0.0021919230    0.0029565074     7002.3494311923    0.0032266704       30.1250847715     0.0010   2026-09-08 10:28:28
    50     55    0.0035554225    0.0047237689     7002.3409676649    0.0084635274       50.0621721278     0.0009   2026-09-08 10:28:28
    51     56    0.0057053510    0.0074467987     7002.3189652567    0.0220024082       82.0153117040     0.0008   2026-09-08 10:28:28
    52     57    0.0090321508    0.0116845904     7002.2622374119    0.0567278448      132.4905805445     0.0008   2026-09-08 10:28:28
    53     58    0.0136662277    0.0184847047     7002.1200372397    0.1422001722      208.5397508238     0.0008   2026-09-08 10:28:28
    54     59    0.0182299786    0.0309321080     7001.7879128920    0.3321243477      308.9367722941     0.0008   2026-09-08 10:28:28
    55     60    0.0307438362    0.0552422457     7001.1361167756    0.6517961164      395.0975482586     0.0008   2026-09-08 10:28:28
    56     61    0.0555342546    0.0858742059     7000.2602544897    0.8758622859      364.5960596826     0.0008   2026-09-08 10:28:28
    57     62    0.0502924969    0.0816643928     6999.6655107199    0.5947437698      181.8031278037     0.0008   2026-09-08 10:28:28
    58     63    0.0247048254    0.0364327498     6999.5181787331    0.1473319868       31.7728179285     0.0008   2026-09-08 10:28:28
    59     64    0.0063613071    0.0092052296     6999.5076105345    0.0105681986       12.0021652405     0.0008   2026-09-08 10:28:28
    60     65    0.0011333480    0.0019019142     6999.5073541960    0.0002563385       11.7648122137     0.0007   2026-09-08 10:28:28
    61     66    0.0001765802    0.0002726724     6999.5073337788    0.0000204172       11.7494490524     0.0007   2026-09-08 10:28:28
    62     67    0.0004249063    0.0006590690     6999.5072572309    0.0000765479       11.7159169624     0.0007   2026-09-08 10:28:28
    63     68    0.0005711294    0.0008918043     6999.5070869065    0.0001703245       11.6702326399     0.0008   2026-09-08 10:28:28
    64     69    0.0009701721    0.0015312141     6999.5066109023    0.0004760042       11.5896374765     0.0007   2026-09-08 10:28:28
    65     70    0.0014773620    0.0023753712     6999.5053952100    0.0012156923       17.5178253626     0.0008   2026-09-08 10:28:28
    66     71    0.0022745534    0.0037797648     6999.5021859472    0.0032092628       30.1751311036     0.0008   2026-09-08 10:28:28
    67     72    0.0032934822    0.0058289297     6999.4938407033    0.0083452439       50.4836169924     0.0008   2026-09-08 10:28:28
    68     73    0.0044093844    0.0087823991     6999.4721541907    0.0216865127       82.9482363339     0.0008   2026-09-08 10:28:28
    69     74    0.0059597908    0.0126967799     6999.4167397694    0.0554144213      133.4830425133     0.0009   2026-09-08 10:28:28
    70     75    0.0098437012    0.0183046942     6999.2804879597    0.1362518097      207.0537697104     0.0008   2026-09-08 10:28:28
    71     76    0.0188070929    0.0321444141     6998.9774126210    0.3030753387      295.0860478590     0.0008   2026-09-08 10:28:28
    72     77    0.0531944182    0.0675513459     6998.4451378929    0.5322747281      344.7009680356     0.0008   2026-09-08 10:28:28
    73     78    0.0887077916    0.1050655921     6997.8639508154    0.5811870774      264.4661974647     0.0008   2026-09-08 10:28:28
    74     79    0.0672259016    0.0834824012     6997.5684796236    0.2954711918       94.7983856587     0.0008   2026-09-08 10:28:28
    75     80    0.0145492100    0.0257358007     6997.5174199576    0.0510596660       10.8391545860     0.0008   2026-09-08 10:28:28
    76     81    0.0027536177    0.0048560118     6997.5150324377    0.0023875199       10.8855494397     0.0008   2026-09-08 10:28:28
    77     82    0.0009580225    0.0011479765     6997.5149800289    0.0000524088       10.8315219102     0.0007   2026-09-08 10:28:28
    78     83    0.0002195401    0.0002598406     6997.5149662348    0.0000137941       10.8162994904     0.0007   2026-09-08 10:28:28
    79     84    0.0008230684    0.0009762991     6997.5148857415    0.0000804933       10.7579313217     0.0007   2026-09-08 10:28:28
    80     85    0.0010230235    0.0012185022     6997.5147196135    0.0001661279       10.6840741629     0.0008   2026-09-08 10:28:28
    81     86    0.0018046032    0.0021638296     6997.5142397021    0.0004799115       10.5503675351     0.0009   2026-09-08 10:28:28
    82     87    0.0027257393    0.0033066783     6997.5130285407    0.0012111614       16.6725192731     0.0008   2026-09-08 10:28:28
    83     88    0.0042514559    0.0052658915     6997.5098161022    0.0032124385       28.5333671893     0.0007   2026-09-08 10:28:28
    84     89    0.0062387647    0.0080426826     6997.5014761712    0.0083399310       47.5309973982     0.0007   2026-09-08 10:28:28
    85     90    0.0084896878    0.0119371058     6997.4797821646    0.0216940066       77.9309712611     0.0008   2026-09-08 10:28:28
    86     91    0.0107898092    0.0166644984     6997.4243281531    0.0554540115      125.2687248263     0.0007   2026-09-08 10:28:28
    87     92    0.0180505434    0.0224995813     6997.2877778914    0.1365502617      194.3042864686     0.0007   2026-09-08 10:28:28
    88     93    0.0277574519    0.0396089939     6996.9826034703    0.3051744210      277.5585474565     0.0007   2026-09-08 10:28:28
    89     94    0.0840876172    0.0922348200     6996.4331715677    0.5494319026      328.8464329254     0.0007   2026-09-08 10:28:28
    90     95    0.1575960775    0.1602957180     6995.7752372895    0.6579342782      267.2523174179     0.0007   2026-09-08 10:28:28
    91     96    0.1458974964    0.1496818858     6995.3910003733    0.3842369163      110.3194218493     0.0009   2026-09-08 10:28:28
    92     97    0.0437913072    0.0498990420     6995.3254927634    0.0655076099       15.9258040634     0.0008   2026-09-08 10:28:28
    93     98    0.0048707280    0.0061835311     6995.3221771170    0.0033156463        5.3963215084     0.0007   2026-09-08 10:28:28
    94     99    0.0028004056    0.0029163416     6995.3220390900    0.0001380271        5.3036989342     0.0007   2026-09-08 10:28:28
    95    100    0.0004508221    0.0004554802     6995.3220347936    0.0000042964        5.2922601750     0.0008   2026-09-08 10:28:28
    96    101    0.0003085857    0.0003125813     6995.3220301078    0.0000046858        5.2844977275     0.0010   2026-09-08 10:28:28
    97    102    0.0006750998    0.0006842292     6995.3220137225    0.0000163852        5.2672373307     0.0010   2026-09-08 10:28:28
    98    103    0.0009767874    0.0009906200     6995.3219749406    0.0000387819        5.2415649318     0.0013   2026-09-08 10:28:28
    99    104    0.0016353012    0.0016601557     6995.3218693181    0.0001056226        5.4992828253     0.0008   2026-09-08 10:28:28
   100    105    0.0025673254    0.0026110203     6995.3215972379    0.0002720802        9.5534950805     0.0009   2026-09-08 10:28:28
   101    106    0.0040723190    0.0041551671     6995.3208832521    0.0007139858       16.1205843801     0.0009   2026-09-08 10:28:28
   102    107    0.0062522247    0.0064205067     6995.3190358693    0.0018473828       26.5631694732     0.0009   2026-09-08 10:28:28
   103    108    0.0091256574    0.0095063417     6995.3143189877    0.0047168816       42.7660090868     0.0008   2026-09-08 10:28:28
   104    109    0.0116260716    0.0126137607     6995.3027946427    0.0115243450       66.0128141179     0.0007   2026-09-08 10:28:28
   105    110    0.0095871721    0.0128127262     6995.2775479338    0.0252467089       92.6172441227     0.0008   2026-09-08 10:28:28
   106    111    0.0080479402    0.0131331878     6995.2349171058    0.0426308280      104.2088937989     0.0007   2026-09-08 10:28:28
   107    112    0.0323203967    0.0336283694     6995.1919984908    0.0429186150       75.2064327357     0.0008   2026-09-08 10:28:28
   108    113    0.0374268216    0.0375350561     6995.1722534811    0.0197450097       26.0604880282     0.0007   2026-09-08 10:28:28
   109    114    0.0152041535    0.0155669079     6995.1690443796    0.0032091015        2.5911992437     0.0008   2026-09-08 10:28:28
   110    115    0.0012457216    0.0016468360     6995.1689097987    0.0001345809        1.2814884537     0.0010   2026-09-08 10:28:28
   111    116    0.0002156471    0.0002443328     6995.1689076179    0.0000021808        1.2762978989     0.0007   2026-09-08 10:28:28
   112    117    0.0000439609    0.0000444305     6995.1689074695    0.0000001484        1.2755266883     0.0007   2026-09-08 10:28:28
   113    118    0.0001372468    0.0001384950     6995.1689067653    0.0000007041        1.2730961150     0.0006   2026-09-08 10:28:28
   114    119    0.0001784385    0.0001800215     6995.1689052659    0.0000014994        1.2698167425     0.0006   2026-09-08 10:28:28
   115    120    0.0003152339    0.0003179736     6995.1689009965    0.0000042694        1.2636848758     0.0006   2026-09-08 10:28:28
   116    121    0.0004915845    0.0004957545     6995.1688901802    0.0000108163        1.2532529942     0.0007   2026-09-08 10:28:28
   117    122    0.0007987831    0.0008054567     6995.1688616320    0.0000285481        1.9872381254     0.0007   2026-09-08 10:28:28
   118    123    0.0012594882    0.0012704658     6995.1687880186    0.0000736134        3.2972549892     0.0007   2026-09-08 10:28:28
   119    124    0.0019370062    0.0019582776     6995.1686002331    0.0001877855        5.3256240577     0.0007   2026-09-08 10:28:28
   120    125    0.0027314795    0.0027879506     6995.1681429713    0.0004572618        8.2211060173     0.0006   2026-09-08 10:28:28
   121    126    0.0030269728    0.0032422618     6995.1671442376    0.0009987338       11.5184175288     0.0007   2026-09-08 10:28:28
   122    127    0.0015595848    0.0024027112     6995.1654533890    0.0016908486       12.9682594562     0.0007   2026-09-08 10:28:28
   123    128    0.0037261974    0.0045132256     6995.1637397491    0.0017136399        9.3792743463     0.0008   2026-09-08 10:28:28
   124    129    0.0059804432    0.0061395268     6995.1629836111    0.0007561380        3.2289587338     0.0007   2026-09-08 10:28:28
   125    130    0.0027602977    0.0027856466     6995.1628684953    0.0001151158        0.3315657973     0.0010   2026-09-08 10:28:28
   126    131    0.0003386888    0.0003729135     6995.1628632701    0.0000052252        0.0696738743     0.0007   2026-09-08 10:28:28

<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','7.436215e-07','1.000000e-06'},true,true);;">stopping criteria details</a>>

__________________________________________________________________________________________________________________

<strong>Negative Binomial </strong><strong>
</strong>                                                                     
var.                                      coef.    st.err.  p-value   
Constant                                -1.0426***  0.0716   0.0000   
Consumer surplus per trip                0.0070***  0.0004   0.0000   
Household income (10k PLN)               0.3866***  0.0841   0.0000   
Male                                    -0.0043     0.0583   0.9413   
Higher education                         0.1680**   0.0668   0.0119   
City                                    -0.0918     0.0598   0.1249   
Winter                                   0.8969***  0.0806   0.0000   
Hiking                                   0.8051***  0.0617   0.0000   
Skiing                                   1.4761***  0.2665   0.0000   
 
                                                                     
                                      Overdispersion parameters      
var.                                      coef.    st.err.            
ln alpha                                 1.2256     0.0356            
 
                                                                     
                                      Consumer Surplus               
var.                                      coef.    st.err.  p-value   
-1/(Consumer surplus per trip)        -142.7529***  7.9485   0.0000   
 
<strong>Model diagnostics: 
</strong>LL at convergence:             -6995.1629
LL at constant(s) only:        -7371.3737
McFadden's pseudo-R²:              0.0510
AIC/n:                             2.3929
BIC/n:                             2.4043
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                             1.1008         37.6740
median                           0.0000         48.0872
std                              6.6818         76.2072
min                              0.0000       -228.8414
max                            324.0000        179.2893
quantile 0.025                   0.0000       -134.2815
quantile 0.975                   7.0000        149.7151
 
 
Estimation completed on Tuesday, 2026-09-08 at 10:28:28
Estimation took 0.18651 seconds (0 hours 0 minutes 0.18651 seconds).

====================================================
mt_TC_MXL_d  (6 of 6)
====================================================
 
__________________________________________________________________________________________________________________
 
Estimating <strong>choice-task weighted </strong>MNL model ...
in preference-space ...
total weight:                    1922.0000
choice tasks:                        17298
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     4240.9153289858             NaN      620.8856138225     0.0000   2026-09-08 10:28:31
     1      2    1.0000000000    1.2701141974     3646.2444355815  594.6708934043      251.0166977334     0.0038   2026-09-08 10:28:31
     2      3    0.6502994375    0.9000795970     3439.7535939525  206.4908416290      126.0062068819     0.0050   2026-09-08 10:28:31
     3      4    0.3754886497    0.6193076322     3375.0770283437   64.6765656088       78.7792663651     0.0039   2026-09-08 10:28:31
     4      5    0.3447065295    0.4769189611     3345.0835706972   29.9934576465       47.8588298637     0.0039   2026-09-08 10:28:31
     5      6    0.1346930703    0.2377793024     3338.0147303997    7.0688402975       19.1859777955     0.0041   2026-09-08 10:28:31
     6      7    0.0543225644    0.0960992960     3335.8011423934    2.2135880063       18.4947402753     0.0043   2026-09-08 10:28:31
     7      8    0.0958921549    0.1569242346     3333.6518247035    2.1493176900       12.4392214828     0.0038   2026-09-08 10:28:31
     8      9    0.0497575645    0.0679504800     3333.0596152343    0.5922094691        6.9963766674     0.0039   2026-09-08 10:28:31
     9     10    0.0473125676    0.0562542549     3332.7027944050    0.3568208293        6.4485419000     0.0042   2026-09-08 10:28:31
    10     11    0.0432010337    0.0489375484     3332.4478003295    0.2549940756        7.9508758960     0.0042   2026-09-08 10:28:31
    11     12    0.0852215866    0.0988480079     3332.0260264235    0.4217739060       10.9276140007     0.0042   2026-09-08 10:28:31
    12     13    0.0786513924    0.0969008566     3331.6997812017    0.3262452218        7.9375368659     0.0036   2026-09-08 10:28:31
    13     14    0.0433051952    0.0616145042     3331.5272477199    0.1725334818        4.4361425156     0.0046   2026-09-08 10:28:31
    14     15    0.0158827953    0.0267493695     3331.4525605560    0.0746871640        3.0014042458     0.0040   2026-09-08 10:28:31
    15     16    0.0152721582    0.0199803825     3331.4055841389    0.0469764171        2.0370353386     0.0041   2026-09-08 10:28:31
    16     17    0.0113398179    0.0173027188     3331.3753663261    0.0302178128        1.7261200888     0.0046   2026-09-08 10:28:31
    17     18    0.0105105702    0.0160940828     3331.3544026704    0.0209636557        1.4381803562     0.0042   2026-09-08 10:28:31
    18     19    0.0115298228    0.0164600808     3331.3373222808    0.0170803896        1.3846604961     0.0037   2026-09-08 10:28:31
    19     20    0.0123018405    0.0176765899     3331.3218490840    0.0154731968        1.6424602979     0.0039   2026-09-08 10:28:31
    20     21    0.0087323359    0.0137845002     3331.3117043757    0.0101447083        1.0281012996     0.0044   2026-09-08 10:28:31
    21     22    0.0039153111    0.0070920713     3331.3075557857    0.0041485900        0.5450354951     0.0041   2026-09-08 10:28:31
    22     23    0.0024006283    0.0033579043     3331.3062733681    0.0012824175        0.3039818347     0.0038   2026-09-08 10:28:31
    23     24    0.0010372256    0.0017196263     3331.3058285668    0.0004448013        0.2021165683     0.0040   2026-09-08 10:28:31
    24     25    0.0007867829    0.0010999720     3331.3056432866    0.0001852803        0.1485025294     0.0039   2026-09-08 10:28:31
    25     26    0.0009059993    0.0009996883     3331.3055394097    0.0001038769        0.1061497678     0.0041   2026-09-08 10:28:31
    26     27    0.0011224744    0.0011812056     3331.3054405674    0.0000988423        0.1149947539     0.0038   2026-09-08 10:28:31
    27     28    0.0010372466    0.0011754332     3331.3053602971    0.0000802703        0.1136367654     0.0048   2026-09-08 10:28:31
    28     29    0.0004181731    0.0006792610     3331.3053291081    0.0000311890        0.0483854244     0.0051   2026-09-08 10:28:31
    29     30    0.0001819749    0.0002700680     3331.3053247747    0.0000043334        0.0073021883     0.0051   2026-09-08 10:28:31
    30     31    0.0000627233    0.0000753365     3331.3053245835    0.0000001912        0.0006890159     0.0048   2026-09-08 10:28:31
    31     32    0.0000079363    0.0000089119     3331.3053245807    0.0000000028        0.0001084406     0.0045   2026-09-08 10:28:31

<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','1.743738e-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           1.4589***  0.0836   0.0000   
Babiogorski         -1.1007***  0.1492   0.0000   
Bieszczadzki         1.1768***  0.1005   0.0000   
Gorczanski          -1.5919***  0.1976   0.0000   
GorStolowych         0.0351     0.1007   0.7275   
Karkonoski           0.4320***  0.0917   0.0000   
Magurski            -1.0869***  0.1605   0.0000   
Pieninski            0.1046     0.1055   0.3215   
-TC/100              1.0946***  0.0473   0.0000   
 
<strong>Model diagnostics: 
</strong>LL at convergence:             -3331.3053
LL at constant(s) only:        -3664.0177
McFadden's pseudo-R²:              0.0908
Ben-Akiva-Lerman's pseudo-R²:      0.0647
AIC/n:                             0.3862
BIC/n:                             0.3902
n (observations):              17298
r (respondents):                1922
k (parameters):                    9
 
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 10:28:32
Estimation took 0.11717 seconds (0 hours 0 minutes 0.11717 seconds).
 
__________________________________________________________________________________________________________________
 
Estimating Negative Binomial (NB2) regression model ...
without truncation
without censoring.
Using linear regression estimates as starting values
Initial values: [-0.55 0.002 0.16 0.04 0.088 -0.013 0.34 0.58 0.36 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     7906.6501251949             NaN    93732.8872212773     0.0000   2026-09-08 10:28:32
     1      5    0.0039001841    0.0039005365     7726.2186148090  180.4315103859      960.4862004291     0.0036   2026-09-08 10:28:32
     2      7    0.0004017850    0.0004646281     7725.8246057135    0.3940090956     2098.0517795598     0.0021   2026-09-08 10:28:32
     3      8    0.0012604839    0.0014259677     7724.6858673252    1.1387383882     4724.3753091581     0.0010   2026-09-08 10:28:32
     4      9    0.0073667787    0.0083141675     7719.0173571684    5.6685101569    12931.3398026249     0.0010   2026-09-08 10:28:32
     5     10    0.0173581402    0.0195767075     7706.9630173246   12.0543398438    23246.7862625399     0.0008   2026-09-08 10:28:32
     6     11    0.0500748181    0.0564626998     7674.3814163699   32.5816009547    39113.5767620503     0.0008   2026-09-08 10:28:32
     7     12    0.1208915028    0.1363013316     7600.7666624429   73.6147539270    56552.5991462586     0.0010   2026-09-08 10:28:32
     8     13    0.2539966935    0.2863601433     7464.0145463438  136.7521160991    65777.6260119100     0.0009   2026-09-08 10:28:32
     9     14    0.3305272392    0.3726282933     7324.3116109275  139.7029354163    58565.3317422000     0.0008   2026-09-08 10:28:32
    10     15    0.2057932686    0.2319946390     7239.0785621249   85.2330488026    45010.0164217044     0.0012   2026-09-08 10:28:32
    11     16    0.1078206404    0.1215450235     7162.6971412081   76.3814209167    23934.1429909792     0.0015   2026-09-08 10:28:32
    12     17    0.0169950734    0.0193338213     7132.8665016823   29.8306395258      379.0546309336     0.0011   2026-09-08 10:28:32
    13     18    0.0223590660    0.0252172618     7132.3538064859    0.5126951964      376.1647247892     0.0011   2026-09-08 10:28:32
    14     19    0.0130460418    0.0147230344     7132.2480116484    0.1057948375      369.0063241393     0.0010   2026-09-08 10:28:32
    15     21    0.0149925546    0.0170436371     7132.0948045615    0.1532070869      361.1790286776     0.0016   2026-09-08 10:28:32
    16     23    0.0238477072    0.0289289296     7129.5151929754    2.5796115861      668.0626202120     0.0015   2026-09-08 10:28:32
    17     24    0.0549576841    0.0777546180     7115.7999537663   13.7152392091     1850.2650186853     0.0010   2026-09-08 10:28:32
    18     25    0.0539311338    0.0901609507     7088.5172166729   27.2827370934     2817.6629398247     0.0011   2026-09-08 10:28:32
    19     26    0.0684390469    0.1200095457     7049.3323728785   39.1848437944     2498.1889136981     0.0011   2026-09-08 10:28:32
    20     27    0.1769702980    0.1964988585     7018.1198927532   31.2124801252     1387.9595210923     0.0012   2026-09-08 10:28:32
    21     28    0.0945083109    0.1006742470     7013.3538066647    4.7660860885      569.0632426989     0.0011   2026-09-08 10:28:32
    22     29    0.0102173258    0.0132190036     7013.1814942058    0.1723124588      168.9569730369     0.0008   2026-09-08 10:28:32
    23     30    0.0022578876    0.0037590687     7013.1641908211    0.0173033848       45.5304561191     0.0007   2026-09-08 10:28:32
    24     31    0.0004604436    0.0005976011     7013.1637525855    0.0004382356       45.6747022720     0.0010   2026-09-08 10:28:32
    25     32    0.0003097895    0.0003720099     7013.1633670986    0.0003854868       45.7522141735     0.0007   2026-09-08 10:28:32
    26     33    0.0007115754    0.0008458976     7013.1619767620    0.0013903366       45.9249835066     0.0007   2026-09-08 10:28:32
    27     34    0.0010278581    0.0012102581     7013.1587211871    0.0032555750       46.1688632624     0.0007   2026-09-08 10:28:32
    28     35    0.0017545153    0.0020392921     7013.1498124173    0.0089087698       46.5710124536     0.0007   2026-09-08 10:28:32
    29     36    0.0028166550    0.0032213370     7013.1268890138    0.0229234035       47.6970430817     0.0007   2026-09-08 10:28:32
    30     37    0.0046514596    0.0052516531     7013.0666254320    0.0602635818       77.9759903762     0.0008   2026-09-08 10:28:32
    31     38    0.0076294600    0.0087225759     7012.9103519343    0.1562734977      126.3094105130     0.0007   2026-09-08 10:28:32
    32     39    0.0124946154    0.0156133179     7012.5091893560    0.4011625783      202.0767589127     0.0010   2026-09-08 10:28:32
    33     40    0.0197727668    0.0310455675     7011.5183270282    0.9908623278      313.8898030818     0.0012   2026-09-08 10:28:32
    34     41    0.0380612584    0.0648548786     7009.3011077485    2.2172192798      454.5001996741     0.0013   2026-09-08 10:28:32
    35     42    0.0795651453    0.1186326100     7005.3858074815    3.9153002669      560.1418320483     0.0013   2026-09-08 10:28:32
    36     43    0.1052134346    0.1477247125     7000.8905484854    4.4952589962      491.9936431292     0.0011   2026-09-08 10:28:32
    37     44    0.0710822269    0.1025177528     6998.1530586974    2.7374897880      218.1127441724     0.0009   2026-09-08 10:28:32
    38     45    0.0252247607    0.0307835463     6997.6504292003    0.5026294970       14.3485233202     0.0008   2026-09-08 10:28:32
    39     46    0.0039212831    0.0072720981     6997.6345002631    0.0159289373       14.2746435846     0.0008   2026-09-08 10:28:32
    40     47    0.0013746774    0.0019929127     6997.6340835711    0.0004166920       14.3048207503     0.0008   2026-09-08 10:28:32
    41     48    0.0002459512    0.0003445413     6997.6340452767    0.0000382944       14.3123064746     0.0008   2026-09-08 10:28:32
    42     49    0.0003686378    0.0005147564     6997.6339536783    0.0000915984       14.3238693126     0.0008   2026-09-08 10:28:32
    43     50    0.0005809846    0.0008085839     6997.6337193392    0.0002343390       14.3420612562     0.0008   2026-09-08 10:28:32
    44     51    0.0009482533    0.0013130650     6997.6331007104    0.0006186289       27.6759354570     0.0008   2026-09-08 10:28:32
    45     52    0.0015291452    0.0021009793     6997.6314865182    0.0016141922       50.0284924213     0.0008   2026-09-08 10:28:32
    46     53    0.0024755485    0.0033622086     6997.6272585478    0.0042279704       86.2243283832     0.0008   2026-09-08 10:28:32
    47     54    0.0039903648    0.0053350032     6997.6162220433    0.0110365044      144.5832405052     0.0008   2026-09-08 10:28:32
    48     55    0.0063879102    0.0083981454     6997.5875331448    0.0286888985      238.0380611760     0.0008   2026-09-08 10:28:32
    49     56    0.0100070610    0.0131405298     6997.5139473684    0.0735857764      384.4981349387     0.0008   2026-09-08 10:28:32
    50     57    0.0147731496    0.0209150084     6997.3316398334    0.1823075349      600.6782556272     0.0007   2026-09-08 10:28:32
    51     58    0.0198306003    0.0357034796     6996.9185719900    0.4130678435      868.7025767344     0.0008   2026-09-08 10:28:32
    52     59    0.0376788050    0.0635849802     6996.1629205369    0.7556514531     1045.5434149897     0.0008   2026-09-08 10:28:32
    53     60    0.0592271221    0.0908867018     6995.2785294948    0.8843910421      850.2307420148     0.0008   2026-09-08 10:28:32
    54     61    0.0430033945    0.0731357965     6994.7960740335    0.4824554613      345.9070138147     0.0008   2026-09-08 10:28:32
    55     62    0.0197590052    0.0269776006     6994.7067782493    0.0892957842       47.1191038200     0.0008   2026-09-08 10:28:32
    56     63    0.0036893666    0.0064491715     6994.7020802072    0.0046980421       11.8621239968     0.0009   2026-09-08 10:28:32
    57     64    0.0007517498    0.0011960866     6994.7019779680    0.0001022392       11.7374863033     0.0008   2026-09-08 10:28:32
    58     65    0.0001519392    0.0002343611     6994.7019562312    0.0000217369       11.7237321654     0.0008   2026-09-08 10:28:32
    59     66    0.0005407922    0.0008377640     6994.7018353419    0.0001208893       11.6771278932     0.0008   2026-09-08 10:28:32
    60     67    0.0006717596    0.0010490684     6994.7015848207    0.0002505212       11.6180068541     0.0007   2026-09-08 10:28:32
    61     68    0.0011738550    0.0018573296     6994.7008625554    0.0007222652       19.0738901636     0.0008   2026-09-08 10:28:32
    62     69    0.0017515449    0.0028361537     6994.6990389297    0.0018236257       34.0032529399     0.0007   2026-09-08 10:28:32
    63     70    0.0026682132    0.0045055871     6994.6942062032    0.0048327265       58.4624326732     0.0008   2026-09-08 10:28:32
    64     71    0.0037393335    0.0068644065     6994.6816785617    0.0125276415       97.5482556960     0.0009   2026-09-08 10:28:32
    65     72    0.0049181030    0.0101897413     6994.6492289018    0.0324496599      159.6769424911     0.0008   2026-09-08 10:28:32
    66     73    0.0065751236    0.0145475145     6994.5671779134    0.0820509884      254.6895243686     0.0009   2026-09-08 10:28:33
    67     74    0.0125630260    0.0220695206     6994.3706903686    0.1964875447      386.4037939389     0.0008   2026-09-08 10:28:33
    68     75    0.0288995337    0.0437748964     6993.9612106538    0.4094797149      521.3483407000     0.0007   2026-09-08 10:28:33
    69     76    0.0719293683    0.0872975997     6993.3366746818    0.6245359719      538.9141538361     0.0007   2026-09-08 10:28:33
    70     77    0.0920079959    0.1094433919     6992.8023886471    0.5342860347      329.7084490877     0.0008   2026-09-08 10:28:33
    71     78    0.0480049179    0.0629585647     6992.6116515555    0.1907370916       81.5316601944     0.0007   2026-09-08 10:28:33
    72     79    0.0060637351    0.0133097674     6992.5911797337    0.0204718218       11.1204544719     0.0007   2026-09-08 10:28:33
    73     80    0.0023544317    0.0032243269     6992.5905408323    0.0006389014       11.0512676717     0.0008   2026-09-08 10:28:33
    74     81    0.0004930552    0.0005829803     6992.5905206601    0.0000201723       11.0181536311     0.0007   2026-09-08 10:28:33
    75     82    0.0003620313    0.0004283178     6992.5904975817    0.0000230783       10.9920660549     0.0014   2026-09-08 10:28:33
    76     83    0.0007739563    0.0009178867     6992.5904184626    0.0000791192       10.9354044328     0.0008   2026-09-08 10:28:33
    77     84    0.0011200301    0.0013338635     6992.5902300219    0.0001884407       10.8519914991     0.0007   2026-09-08 10:28:33
    78     85    0.0018510330    0.0022196858     6992.5897179554    0.0005120665       14.7308232859     0.0007   2026-09-08 10:28:33
    79     86    0.0028609082    0.0034719473     6992.5883965418    0.0013214136       25.6972545284     0.0007   2026-09-08 10:28:33
    80     87    0.0044157273    0.0054748997     6992.5849220930    0.0034744488       43.5183956684     0.0007   2026-09-08 10:28:33
    81     88    0.0064864514    0.0083817738     6992.5758737029    0.0090483901       72.1557401794     0.0008   2026-09-08 10:28:33
    82     89    0.0087653441    0.0123992707     6992.5523777580    0.0234959449      117.8861032360     0.0007   2026-09-08 10:28:33
    83     90    0.0113341815    0.0172718142     6992.4923685041    0.0600092539      188.9759429533     0.0007   2026-09-08 10:28:33
    84     91    0.0188985453    0.0233823400     6992.3451525010    0.1472160030      291.9556092242     0.0007   2026-09-08 10:28:33
    85     92    0.0287682988    0.0419801900     6992.0189894954    0.3261630056      413.5999104971     0.0007   2026-09-08 10:28:33
    86     93    0.0892482401    0.0971747022     6991.4425390210    0.5764504745      480.9614919794     0.0008   2026-09-08 10:28:33
    87     94    0.1615360146    0.1641618600     6990.7744868714    0.6680521495      376.4316653645     0.0008   2026-09-08 10:28:33
    88     95    0.1423356537    0.1463639542     6990.4064821537    0.3680047178      145.1449959002     0.0008   2026-09-08 10:28:33
    89     96    0.0391774601    0.0453640357     6990.3490392692    0.0574428845       19.7745753735     0.0008   2026-09-08 10:28:33
    90     97    0.0044664711    0.0058812208     6990.3462592439    0.0027800253        5.5749508875     0.0008   2026-09-08 10:28:33
    91     98    0.0026071054    0.0027043272     6990.3461458137    0.0001134302        5.4900678203     0.0008   2026-09-08 10:28:33
    92     99    0.0003951706    0.0003994476     6990.3461418090    0.0000040046        5.4798869600     0.0007   2026-09-08 10:28:33
    93    100    0.0003650929    0.0003699138     6990.3461359272    0.0000058818        5.4704964641     0.0007   2026-09-08 10:28:33
    94    101    0.0006917564    0.0007012865     6990.3461179836    0.0000179436        5.4523837554     0.0008   2026-09-08 10:28:33
    95    102    0.0010493056    0.0010644603     6990.3460735714    0.0000444123        5.4241064869     0.0008   2026-09-08 10:28:33
    96    103    0.0017226521    0.0017494235     6990.3459547820    0.0001187894        5.8438097922     0.0007   2026-09-08 10:28:33
    97    104    0.0027214252    0.0027689686     6990.3456467584    0.0003080236       10.1362007601     0.0008   2026-09-08 10:28:33
    98    105    0.0042971743    0.0043874805     6990.3448408697    0.0008058887       17.0656585227     0.0007   2026-09-08 10:28:33
    99    106    0.0065793152    0.0067640985     6990.3427558611    0.0020850086       28.0766759276     0.0008   2026-09-08 10:28:33
   100    107    0.0095140987    0.0099355296     6990.3374493803    0.0053064808       45.0716936802     0.0008   2026-09-08 10:28:33
   101    108    0.0118340364    0.0129416845     6990.3245782407    0.0128711395       69.1269510256     0.0008   2026-09-08 10:28:33
   102    109    0.0088293281    0.0125764079     6990.2968994445    0.0276787962       95.4944353032     0.0007   2026-09-08 10:28:33
   103    110    0.0083681539    0.0145867176     6990.2520465389    0.0448529056      103.8244597158     0.0007   2026-09-08 10:28:33
   104    111    0.0347911678    0.0358163677     6990.2099946523    0.0420518866       70.4365923818     0.0011   2026-09-08 10:28:33
   105    112    0.0361155164    0.0362300197     6990.1924071765    0.0175874758       22.0435321393     0.0008   2026-09-08 10:28:33
   106    113    0.0129615433    0.0133489250     6990.1899015384    0.0025056381        1.6598661557     0.0008   2026-09-08 10:28:33
   107    114    0.0007775543    0.0011823666     6990.1898102509    0.0000912875        1.3263162718     0.0007   2026-09-08 10:28:33
   108    115    0.0001981858    0.0002159904     6990.1898088124    0.0000014385        1.3206351980     0.0011   2026-09-08 10:28:33
   109    116    0.0000394651    0.0000399297     6990.1898086521    0.0000001603        1.3198226966     0.0007   2026-09-08 10:28:33
   110    117    0.0001639932    0.0001656986     6990.1898076407    0.0000010114        1.3164247821     0.0007   2026-09-08 10:28:33
   111    118    0.0002015724    0.0002036213     6990.1898055969    0.0000020438        1.3120946906     0.0008   2026-09-08 10:28:33
   112    119    0.0003648356    0.0003684726     6990.1897996407    0.0000059562        1.3038119754     0.0007   2026-09-08 10:28:33
   113    120    0.0005633551    0.0005688540     6990.1897846827    0.0000149580        1.4996034186     0.0007   2026-09-08 10:28:33
   114    121    0.0009164331    0.0009253304     6990.1897451166    0.0000395661        2.5612625861     0.0007   2026-09-08 10:28:33
   115    122    0.0014348761    0.0014498095     6990.1896435072    0.0001016094        4.2319411236     0.0007   2026-09-08 10:28:33
   116    123    0.0021761481    0.0022064811     6990.1893860775    0.0002574297        6.7876887071     0.0007   2026-09-08 10:28:33
   117    124    0.0029510859    0.0030367153     6990.1887709052    0.0006151722       10.3100888301     0.0008   2026-09-08 10:28:33
   118    125    0.0028909645    0.0032387476     6990.1874862295    0.0012846757       13.9038294000     0.0008   2026-09-08 10:28:33
   119    126    0.0017592337    0.0024722802     6990.1855138815    0.0019723479       14.4031858983     0.0007   2026-09-08 10:28:33
   120    127    0.0049744987    0.0055821689     6990.1838369281    0.0016769534        8.9490683664     0.0008   2026-09-08 10:28:33
   121    128    0.0056298022    0.0057365960     6990.1832577913    0.0005791368        2.4405483635     0.0007   2026-09-08 10:28:33
   122    129    0.0019438605    0.0019731559     6990.1831913761    0.0000664152        0.1446552154     0.0007   2026-09-08 10:28:33
   123    130    0.0001446149    0.0001846256     6990.1831891855    0.0000021906        0.0794423963     0.0010   2026-09-08 10:28:33

<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','8.475312e-07','1.000000e-06'},true,true);;">stopping criteria details</a>>

__________________________________________________________________________________________________________________

<strong>Negative Binomial </strong><strong>
</strong>                                                                     
var.                                      coef.    st.err.  p-value   
Constant                                -1.0432***  0.0714   0.0000   
Consumer surplus per trip                0.0071***  0.0004   0.0000   
Household income (10k PLN)               0.3936***  0.0841   0.0000   
Male                                    -0.0096     0.0582   0.8692   
Higher education                         0.1697**   0.0667   0.0110   
City                                    -0.0960     0.0598   0.1082   
Winter                                   0.8896***  0.0805   0.0000   
Hiking                                   0.8087***  0.0617   0.0000   
Skiing                                   1.4874***  0.2662   0.0000   
 
                                                                     
                                      Overdispersion parameters      
var.                                      coef.    st.err.            
ln alpha                                 1.2215     0.0357            
 
                                                                     
                                      Consumer Surplus               
var.                                      coef.    st.err.  p-value   
-1/(Consumer surplus per trip)        -139.9609***  7.6725   0.0000   
 
<strong>Model diagnostics: 
</strong>LL at convergence:             -6990.1832
LL at constant(s) only:        -7371.3737
McFadden's pseudo-R²:              0.0517
AIC/n:                             2.3912
BIC/n:                             2.4026
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                             1.1008         36.5782
median                           0.0000         47.1428
std                              6.6818         75.9375
min                              0.0000       -240.9042
max                            324.0000        177.7100
quantile 0.025                   0.0000       -133.9236
quantile 0.975                   7.0000        148.7129
 
 
Estimation completed on Tuesday, 2026-09-08 at 10:28:33
Estimation took 0.18182 seconds (0 hours 0 minutes 0.18182 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>
    {'mt_TC_0'    }      102.11           5.1545        -6961.6 
    {'mt_TC_33'   }      113.75           5.7183          -6960 
    {'mt_TC_100'  }      140.78           7.1461          -6963 
    {'mt_TC_MNL'  }      131.03           6.5871        -6959.6 
    {'mt_TC_MXL'  }      142.75           7.9485        -6995.2 
    {'mt_TC_MXL_d'}      139.96           7.6725        -6990.2 
Saved C:\Users\Katarzyna\Desktop\TPN_substitutes\coding\replication package (2)\replication package\linked_results\Summary_mt.csv

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3 of 4: run_linked_models (all)
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all_TC_0  (1 of 6)
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