Results Main Full

you will have the following survey rounds included:


Main_1 Main_2 Main_3 Main_4 Main_5 Main_6 Main_7 
   563    591    549    410   3885   6841   3508 

Note: Estimation results may be based on different results. Information about the samples used for estimation is found in the respective sections of this document.

Meta data

[1] "Overview duration whole survey"
   Min. 1st Qu.  Median    Mean 3rd Qu.    Max. 
  3.483  16.713  24.474  34.660  36.934 720.803 
[1] "Overview duration mobiles"
   Min. 1st Qu.  Median    Mean 3rd Qu.    Max. 
  4.202  16.796  24.486  36.968  38.653 620.045 


Call:
lm(formula = DURATION/60 ~ is_mobile + birthyear_mean + gender_male + 
    as.factor(uhh), data = complete_data)

Residuals:
   Min     1Q Median     3Q    Max 
-32.72 -17.70 -10.29   1.94 685.66 

Coefficients:
                Estimate Std. Error t value Pr(>|t|)    
(Intercept)     35.86712    0.62249  57.619  < 2e-16 ***
is_mobiletrue    2.36440    1.17246   2.017   0.0438 *  
birthyear_mean  -0.12389    0.01927  -6.429 1.32e-10 ***
gender_male     -3.12028    0.62188  -5.017 5.29e-07 ***
as.factor(uhh)2  0.66767    0.75531   0.884   0.3767    
as.factor(uhh)3  0.25015    0.75515   0.331   0.7404    
---
Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1

Residual standard error: 38.96 on 15958 degrees of freedom
  (383 observations deleted due to missingness)
Multiple R-squared:  0.003979,  Adjusted R-squared:  0.003667 
F-statistic: 12.75 on 5 and 15958 DF,  p-value: 2.161e-12
False ZIP codes
 1654  1700  1995  1999  2005  2721  3223  5109  5509  6222  8288  9480  9567 
    1     1     1     2     1     1     1     1     1     1     1     1     1 
 9766 10116 10151 10231 11018 11362 12128 12306 12345 12469 15383 17380 18443 
    1     1     1     1     1     1     1     1     1     1     1     1     1 
19426 19824 20012 20453 20525 21148 22114 22377 22703 22871 24608 25398 29953 
    1     1     1     1     1     1     1     1     1     1     1     1     1 
30301 30688 33140 33250 34118 35966 36071 36111 37981 38309 40437 40475 40651 
    1     1     1     1     1     1     1     1     1     1     1     1     1 
41523 42729 44220 44878 45001 45345 45689 46468 47100 48137 48238 49495 50339 
    1     1     1     1     1     1     1     1     2     1     1     1     1 
50352 50796 51140 52034 53384 53521 53959 54279 57634 57908 58098 60032 60179 
    1     1     1     1     1     3     1     1     1     1     1     1     1 
60312 63527 63751 63841 65230 65292 66315 67463 67853 69116 70104 70113 70315 
    1     1     1     1     1     1     1     1     1     1     1     1     1 
70345 71643 71722 74580 74993 75178 76186 81248 81378 83027 83456 84025 86258 
    1     1     1     1     1     1     1     1     1     1     1     1     1 
86268 88807 88935 90502 91075 93763 96502 96633 97272 97895 98085 98468 99048 
    1     1     1     1     1     1     1     1     1     1     1     1     1 

Device types/Mobile device

Quality checks

Randomizations

                   uhh dce_version    equity        arm      block    radius
uhh                 NA  0.97755014 0.5084954 0.05776982 0.00502793 0.8052479
dce_version 0.97755014          NA 0.9867538 0.73638302 0.07930036 0.7317077
equity      0.50849536  0.98675375        NA 0.47910744 0.55691980 0.2059371
arm         0.05776982  0.73638302 0.4791074         NA 0.49672826 0.6262058
block       0.00502793  0.07930036 0.5569198 0.49672826         NA 0.7955760
radius      0.80524791  0.73170769 0.2059371 0.62620583 0.79557604        NA
order       0.33910944  0.15965055 0.9786268 0.45488137 0.41484898 0.7358837
                order
uhh         0.3391094
dce_version 0.1596505
equity      0.9786268
arm         0.4548814
block       0.4148490
radius      0.7358837
order              NA

Socio-demografics

Variable Mean/Share Median SD Min Max Germany
Age 50.82 51.00 16.15 19.00 93.00 44.70
Share of Females 0.5 - - - - 0.51
Higher Education 0.35 - - - - 0.33
Net Household Monthly Income 3187 3250 1463 250 5500 3650
Share with children 0.56 - - - - -
Life Satisfaction 6.65 7 2.13 0 10 -
N 15964 - - - - -

Quotas

Variable abs_actual abs_target rel_actual rel_target
Share of female 7976 8301.28 0.50 0.52
18–29 1976 2713.88 0.12 0.17
30–39 2538 2234.96 0.16 0.14
40–49 3043 3192.80 0.19 0.20
50–59 2865 2713.88 0.18 0.17
60–69 3230 2075.32 0.20 0.13
70+ 2312 2873.52 0.14 0.18

# A tibble: 8 × 3
   educ     n percentage
  <dbl> <int>      <dbl>
1     6  5637     34.5  
2     4  5157     31.5  
3     5  3517     21.5  
4     3  1648     10.1  
5     8   163      0.997
6     2    96      0.587
7     7    68      0.416
8     1    61      0.373

Federal States

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     Baden-Württemberg                 Bayern                 Berlin 
                  1915                   2496                   1181 
           Brandenburg                 Bremen                Hamburg 
                   562                    138                    567 
                Hessen Mecklenburg-Vorpommern          Niedersachsen 
                  1293                    387                   1526 
   Nordrhein-Westfalen        Rheinland-Pfalz               Saarland 
                  3412                   1147                    222 
               Sachsen         Sachsen-Anhalt     Schleswig-Holstein 
                  1206                    570                    707 
             Thüringen 
                   509 

“Sonntagsfrage”

Attention questions

Access of Additional Information

Accessed Infos on Costs
   1 
2019 
Accessed Infos on Property
   1 
2425 

NSG and HNV Distribution

Forest Use

Private Forest Owner?
    1     2     3     4 
 1091 16611    57    79 
Forest Yes and Size
FALSE  TRUE 
17105   733 
Forest Yes and Use
FALSE  TRUE 
17124   714 
Forest Size in ha
    0  0.08     1     2     3     4     5     6     7     8     9    10    11 
   39     1   197    98    44    26    60    10     2    13     1    46     2 
   12    13    14    15    16    18    19    20    21    25    26    30    32 
    9     1     1     8     2     3     1    25     2     9     2    10     1 
   34    35    40    50    55    60    68    72    80    89    90   100   101 
    1     4     7    14     2     5     1     1     3     1     3    24     1 
  110   120   122   123   150   181   197   200   230   250   300   312   344 
    1     5     1     1     2     3     1     8     1     1     1     1     2 
  400   500   600   900  1000  1111  1200  1500  2000  3000  4000  4157  4584 
    1     6     1     1     1     1     1     2     2     1     1     1     1 
 5000  7000 10000 25000 30459 80939 
    1     1     1     1     1     1 
Forest Use in m3
    0     1     2     3     4     5     6     7     8     9    10    11    12 
  275    75    58    29    18    45     8     1    13     1    26     1     8 
   15    18    20    21    22    23    25    26    29    30    33    34    35 
    8     3    25     1     4     2     7     3     1    10     1     2     1 
   38    40    45    50    55    59    60    65    75    76    80    90   100 
    1     2     2    17     1     1     1     1     1     1     2     2    14 
  120   124   125   150   180   190   200   213   244   250   300   344   400 
    2     2     2     4     1     1     7     1     1     1     2     2     1 
  450   500   600   604  1000  1234  1500  2500  4582  5000  7500 10115 20539 
    1     2     1     1     4     1     1     1     1     1     1     1     1 

NR-index

   Min. 1st Qu.  Median    Mean 3rd Qu.    Max. 
  1.000   3.167   3.833   3.683   4.333   5.000 

Choice Experiment

Choices scope low
    1     2 
47004 34736 
Choices scope_high
    1     2 
45579 36151 
       DCE Version
Choices     1     2     3     4
      1 23162 23842 22222 23357
      2 17698 17038 18628 17523
              DCE Version
HNV Attributes    1    2    3    4
          100  8166 8179    0    0
          200  8157 8174 8174 8188
          300  8171 8159    0    0
          400     0    0 8170 8162
          500  8179 8175    0    0
          600     0    0 8162 8188
          800  8187 8193    0    0
          1000    0    0 8177 8180
          1600    0    0 8167 8162
             DCE Version
PA Attributes    1    2    3    4
         100  8159 8180    0    0
         200  8175 8194 8159 8159
         300  8174 8170    0    0
         400     0    0 8166 8196
         500  8169 8170    0    0
         600     0    0 8173 8176
         800  8183 8166    0    0
         1000    0    0 8183 8161
         1600    0    0 8169 8188
               DCE Version
Cost Attributes    1    2    3    4
            5   4096 4081 4072 4083
            10  4079 4075 4081 4095
            20  4088 4083 4081 4094
            40  4091 4078 4086 4092
            60  4082 4089 4092 4074
            80  4069 4096 4082 4085
            120 4078 4086 4093 4091
            150 4102 4096 4093 4082
            200 4075 4099 4083 4094
            250 4100 4097 4087 4090
                 DCE Version
HNV Visible Dummy     1     2     3     4
                0 20441 20464 20419 20422
                1 20419 20416 20431 20458
             DCE Version
Pa Full Dummy     1     2     3     4
            0 27251 27259 27247 27271
            1 13609 13621 13603 13609
             DCE Version
Pa Full Dummy     1     2     3     4
            0 27222 27243 27214 27241
            1 13638 13637 13636 13639

Choice Pattern Plots

     
       200  300  400  500  600  700  800  900 1000 1100 1200 1300 1400 1600
  5    325  656 1318  658 1634  651 1621  650 1633  655  980  656  656  975
  10   323  652 1314  650 1630  653 1633  657 1631  653  981  649  655  983
  20   329  653 1305  653 1628  655 1626  650 1653  649  989  655  652  979
  40   328  650 1305  654 1639  658 1636  653 1634  655  979  652  654  980
  60   324  648 1309  651 1629  657 1632  657 1632  654  980  657  652  977
  80   328  662 1297  651 1634  652 1635  651 1632  654  981  652  653  986
  120  328  654 1306  652 1637  653 1636  654 1633  648  981  658  657  983
  150  328  657 1308  653 1633  658 1646  653 1641  657  974  661  652  987
  200  327  652 1313  653 1629  658 1639  649 1630  655  985  651  650  987
  250  327  659 1306  659 1627  660 1628  653 1651  653  983  654  655  985
     
      1800 2000 2200 2600 3200
  5    654  975  650  660  325
  10   654  983  652  648  329
  20   657  978  656  656  323
  40   649  981  659  653  328
  60   654  991  658  649  326
  80   653  978  651  656  326
  120  654  982  650  650  332
  150  647  983  653  655  327
  200  654  981  656  658  324
  250  651  987  655  655  326

            arm
equity               5        10        20 Indefinitely
  All same   0.4476559 0.4336403 0.4261845    0.4241176
  Income tax 0.4375496 0.4314413 0.4355427    0.4326491

Protester

Utility Functions

Quadratic

\[ \begin{equation} U = \beta_{NC} \cdot \text{NC} + \beta_{NC_{sq}} \cdot \text{NC}^2 +\beta_{C} \cdot C + \beta_{Y} \cdot Y + \epsilon \label{mxl_base2} \end{equation} \]

with: \(NC = \{\text{PA}_{a}, \text{HNV}_{v}\}\) and \(a=\{1, 2, 3\}\) and \(v=\{1, 2\}\)

Linear Terms

\[ \begin{equation} U = \beta_{NC} \cdot \text{NC} + \beta_{C} \cdot C + \beta_{Y} \cdot Y + \epsilon \label{linear_model} \end{equation} \]

Logarithmic Terms

\[ \begin{equation} U = \beta_{NC} \cdot \log(\text{NC}) + \beta_{C} \cdot C + \beta_{Y} \cdot Y + \epsilon \label{log_nc_model} \end{equation} \]

Box-cox

\[ \begin{equation} U = \beta_{NC} \cdot \frac{\text{NC}^\lambda - 1}{\lambda} + \beta_{C} \cdot C + \beta_{Y} \cdot Y + \epsilon \quad \text{for } \lambda \neq 0 \label{box_cox_model} \end{equation} \]

Log-Linear

\[ \begin{equation} U = \beta_{NC} \cdot \text{NC} + \beta_{NC_{log}} \cdot \log(\text{NC}) + \beta_{C} \cdot C + \beta_{Y} \cdot Y + \epsilon \label{log_linear_model} \end{equation} \]

Conditional Logit Models

**************WARNING**************

You are seeing the model results based on: Main_1 + Main_2 + Main_3 + Main_4 + Main_5
Quadratic Utility Function
Estimate s.e. t.rat.(0) Rob.s.e. Rob.t.rat.(0)
beta_pa 3.58 0.55 6.48 0.70 5.08
beta_hnv 2.78 0.43 6.43 0.58 4.83
beta_pa_sq -0.01 0.002 -5.06 0.002 -3.80
beta_hnv_sq -0.01 0.001 -3.90 0.002 -2.62
pa_half_access 3.61 0.56 6.47 0.73 4.97
pa_full_access 4.65 0.55 8.47 0.71 6.56
pa_half_access_sq -0.004 0.002 -1.92 0.002 -1.44
pa_full_access_sq -0.01 0.002 -4.53 0.002 -3.30
hnv_visible 3.58 0.43 8.25 0.59 6.04
hnv_visible_sq -0.01 0.001 -4.64 0.002 -3.09
beta_cost -0.01 0.0001 -65.78 0.0002 -45.45
ASC_sq -32.60 2.33 -13.96 3.75 -8.69
Log Utility Function
Estimate s.e. t.rat.(0) Rob.s.e. Rob.t.rat.(0)
beta_pa 52.29 14.83 3.53 21.04 2.49
beta_hnv 57.02 13.64 4.18 22.79 2.50
pa_half_access 95.97 15.30 6.27 22.38 4.29
pa_full_access 108.79 14.92 7.29 22.16 4.91
hnv_visible 85.54 13.79 6.20 23.44 3.65
beta_cost -0.01 0.0001 -65.70 0.0002 -45.44
ASC_sq -43.10 1.79 -24.09 3.40 -12.69
Linear Utility Function
Estimate s.e. t.rat.(0) Rob.s.e. Rob.t.rat.(0)
beta_pa 1.37 0.34 3.98 0.40 3.46
beta_hnv 1.59 0.31 5.18 0.36 4.39
pa_half_access 2.75 0.34 7.99 0.40 6.93
pa_full_access 2.70 0.35 7.83 0.40 6.75
hnv_visible 2.16 0.31 7.06 0.36 6.03
beta_cost -0.01 0.0001 -65.72 0.0002 -45.44
ASC_sq -32.98 2.34 -14.12 3.76 -8.78
Box Cox Utility Function
Estimate s.e. t.rat.(0) Rob.s.e. Rob.t.rat.(0)
beta_pa 17.54 11.49 1.53 13.40 1.31
beta_hnv 9.34 4.97 1.88 5.61 1.67
pa_half_access 8.85 5.05 1.75 7.73 1.14
pa_full_access 18.55 7.50 2.47 9.28 2.00
hnv_visible 12.36 5.80 2.13 7.63 1.62
beta_cost -0.01 0.0001 -65.72 0.0002 -45.40
ASC_sq -31.25 2.30 -13.56 3.71 -8.43
lambda_pa 0.45 0.17 2.65 0.19 2.38
lambda_hnv 0.61 0.13 4.75 0.13 4.58
lambda_pa_half 0.75 0.13 5.57 0.20 3.71
lambda_pa_full 0.58 0.10 5.76 0.12 4.84
lambda_hnv_vis 0.61 0.11 5.34 0.14 4.36
Log-Linear Utility Function
Estimate s.e. t.rat.(0) Rob.s.e. Rob.t.rat.(0)
beta_pa 0.72 0.44 1.62 0.55 1.31
beta_hnv 1.28 0.42 3.08 0.59 2.19
beta_pa_sq 48.51 19.70 2.46 27.23 1.78
beta_hnv_sq 21.33 19.13 1.11 31.72 0.67
pa_half_access 2.38 0.45 5.30 0.56 4.29
pa_full_access 1.77 0.44 4.00 0.56 3.15
pa_half_access_sq 28.52 20.53 1.39 29.06 0.98
pa_full_access_sq 67.53 19.63 3.44 28.42 2.38
hnv_visible 1.70 0.42 4.08 0.57 2.97
hnv_visible_sq 32.29 19.31 1.67 32.13 1.00
beta_cost -0.01 0.0001 -65.73 0.0002 -45.44
ASC_sq -32.45 2.34 -13.87 3.77 -8.61

Mixed Logit Models

**************WARNING**************

You are seeing the model results based on: Main_1 + Main_2 + Main_3 + Main_4 + Main_5 + Main_6 + Main_7 + pilot_2.1 + pilot_3 + pilot_4
Basic MXL in WTP Space (quadratic)
Estimate s.e. t.rat.(0) Rob.s.e. Rob.t.rat.(0)
beta_pa 31.929 3.377 9.454 1.537 20.774
beta_hnv 24.244 3.445 7.037 1.640 14.787
beta_pa_sq -0.399 0.110 -3.640 0.052 -7.625
beta_hnv_sq -0.056 0.106 -0.525 0.037 -1.510
pa_half_access 6.864 3.127 2.195 1.532 4.480
pa_full_access 1.063 0.322 3.301 0.178 5.977
hnv_visible 1.163 2.100 0.554 0.859 1.355
beta_cost -3.395 0.168 -20.172 0.171 -19.810
ASC_sq -27.274 1.995 -13.668 1.010 -26.999
sig_pa -11.753 1.457 -8.064 0.586 -20.071
sig_hnv 6.739 0.924 7.297 0.272 24.755
sig_pa_sq -1.139 0.053 -21.566 0.014 -79.033
sig_hnv_sq 1.131 0.060 18.753 0.016 69.024
sig_pa_half_access 26.670 3.071 8.685 1.173 22.746
sig_pa_full_access 1.949 0.211 9.259 0.083 23.493
sig_hnv_visible -1.906 2.520 -0.756 0.557 -3.419
sig_cost -2.236 0.285 -7.847 0.287 -7.780
sig_ASC_sq 145.214 2.490 58.309 1.116 130.113
MXL with Radius in WTP Space (quadratic)
Estimate s.e. t.rat.(0) Rob.s.e. Rob.t.rat.(0)
beta_pa 10.489 1.330 7.888 1.332 7.875
beta_hnv 11.306 0.871 12.974 0.789 14.335
beta_pa_sq -0.095 0.040 -2.389 0.039 -2.448
beta_hnv_sq -0.047 0.020 -2.341 0.014 -3.330
pa_half_access 18.726 0.914 20.498 0.616 30.418
pa_full_access 22.326 0.714 31.251 0.414 53.953
hnv_visible 15.153 0.762 19.885 0.620 24.425
pa_half_access_sq -0.069 0.032 -2.163 0.021 -3.217
pa_full_access_sq -0.151 0.025 -6.023 0.018 -8.315
hnv_visible_sq -0.066 0.018 -3.686 0.009 -7.075
beta_cost -3.358 0.024 -141.069 0.025 -136.786
ASC_sq -54.914 0.513 -107.084 0.323 -170.234
beta_radius -1.227 0.040 -30.722 0.020 -61.197
beta_scope_high 3.424 0.678 5.048 0.576 5.943
sig_pa -9.539 0.412 -23.142 0.241 -39.644
sig_hnv 0.963 0.571 1.687 0.329 2.924
sig_pa_sq 0.062 0.015 4.293 0.006 10.641
sig_hnv_sq -0.050 0.016 -3.127 0.006 -8.377
sig_pa_half_access 0.025 0.574 0.044 0.276 0.092
sig_pa_full_access 8.801 0.495 17.762 0.269 32.736
sig_hnv_visible 8.719 0.394 22.115 0.210 41.532
sig_pa_half_access_sq 0.121 0.016 7.502 0.007 17.257
sig_pa_full_access_sq 0.087 0.018 4.895 0.006 13.980
sig_hnv_visible_sq 0.002 0.010 0.216 0.004 0.480
sig_cost -2.033 0.037 -55.487 0.038 -52.971
sig_ASC_sq 118.330 0.486 243.397 0.293 404.383
sig_radius -6.447 0.040 -159.613 0.029 -224.437
sig_scope_high 78.762 0.583 135.161 0.487 161.573
Model AIC BIC LLout
Quadratic Utility Function 77188.62 77296.64 -38582.31
Log Utility Function 77308.98 77371.99 -38647.49
Linear Utility Function 77268.21 77331.22 -38627.11
Box Cox Utility Function 77231.68 77339.7 -38603.84
Log-Linear Utility Function 77254.71 77362.73 -38615.35

Plot and Map WTP

Plot WTP function for HNV.

Plot WTP function for PA.

MXL Plots

CV

     Min.   1st Qu.    Median      Mean   3rd Qu.      Max.      NA's 
0.000e+00 5.000e+00 4.000e+01 1.599e+05 1.000e+02 1.000e+09      5956 

Travel Cost

Difference all visits and favourite visits
   0    1    2    3    4    5    6    7    8    9   10   11   12   13   14   15 
4658  372  348  177  144  282   97   72   90   44  292   28  111   26   39  147 
  16   17   18   19   20   21   22   23   24   25   26   27   28   29   30   31 
  23   24   39   10  287    8   29    7   20   78   29   16   24    8  131    3 
  32   33   34   35   36   37   38   39   40   42   43   44   45   46   47   48 
  24    6    3   35   10   12   12    2  103   15    3    7   17    4    6   12 
  49   50   51   52   53   54   55   56   58   59   60   61   62   63   64   65 
   5  167    3   15    2    4   10    7    2    2   40    1    1    1    2   20 
  66   67   68   70   71   72   73   74   75   76   78   79   80   81   84   85 
   1    2    3   51    1    1    1    1    9    5    2    1   33    1    1    8 
  86   88   90   91   92   93   94   95   96   98  100  102  104  105  106  108 
   1    5   30    1    4    1    1    2    3    7   77    1   35    2    1    2 
 110  111  112  113  115  116  120  124  125  126  130  131  138  140  141  143 
  16    1    3    2    5    1   12    1    7    1    6    1    2    6    1    1 
 144  145  146  148  150  151  152  153  154  155  156  160  164  165  170  175 
   1    3    1    1   36    1    1    2    3    4    1    8    1    4    3    2 
 176  180  185  188  190  191  195  196  198  200  205  207  209  210  215  220 
   1    5    1    2    3    1    2    1    1   32    2    1    2    1    6    1 
 221  225  228  230  236  240  245  248  250  255  259  260  265  270  274  280 
   1    1    1    1    1    3    1    1    9    1    1    5    3    1    1    1 
 285  288  295  300  305  310  312  313  315  320  330  335  342  346  348  349 
   2    2    1   13    1    1    1    4    1    1    1    3    1    1    1    1 
 350  356  364  365  390  399  400  412  488  500  510  544  574  595  600  645 
   4    1    1    4    1    1    2    2    1    2    1    1    1    1    2    1 
 700  730  800  801  835  939 1004 1043 1104 1340 1685 2000 2119 2870 3995 
   3    6    1    1    1    2    1    2    1    1    1    1    1    1    1 

[1] 896

[1] 172