Table A1.

Results of the Full Specification of Model III

Full Model III, Explanatory FactorModel III
A. Alternative Specific Constants
Bres) Breskens- 9.235(3.584)
Braa) Braakman- 9.235***(3.717)
Saef) Saeftinghe- 5.890** (2.323)
B. Price and Income (Pijt and HjYi in Equation [1])
p) Price- 0.0179***(19.408)
y) Income (natural log)1.341***(3.948)
C. Site Attributes (Xijt in Equation [1])
(Embedded Image Walking: moderate0.381***(5.080)
(Embedded Image Walking: good1.010***(15.259)
(Embedded Image) Bathing: moderate0.524***(3.954)
Embedded Image Bathing at Breskens: good0.597***(6.650)
Embedded Image Swimming at Braakman: good1.415***(11.611)
Embedded Image Nature: moderate0.394***(5.275)
Embedded Image Nature at Breskens and Braakman: good0.878***(11.381)
Embedded Image Nature at Saeftinghe: good1.153***(10.136)
D. Distance Effects and User Effects (Components of f(Distij, Zij, Userij) in Equation [1])
Embedded Image User of Breskens0.922** (2.132)
Embedded Image (Distance to Breskens)2/1,000- 0.274***(5.292)
Embedded Image User of Braakman1.911***(6.485)
Embedded Image User of Braakman × Distance to Braakman- 0.023** (2.468)
Embedded Image log(Distance to Saeftinghe+1)- 0.824***(3.426)
Embedded Image User of Saeftinghe × log(Disti,Saef+1)- 0.019 (0.199)
Standard deviation of random parameter on user dummy (μu Userij)1.223***(10.990)
E. Substitutes (Components of f(Distij, Zij, Userij) in Equation [1])
Embedded Image Distance to substitutes of Breskens0.028 (1.253)
Embedded Image User of Breskens × Distance to substitutes of Breskens0.046 (1.562)
F. Directional Effects (Components of f(Distij, Zij, Userij) in Equation [1])
Embedded Imagea0.349 (0.863)
Embedded Imagea- 0.605 (1.215)
Embedded Image0.000 (0.004)
Embedded Image0.028 (1.054)
Embedded Image0.566 (1.098)
Embedded Image0.084 (0.153)
Embedded Imagea- 0.081** (2.178)
Embedded Image- 0.006 (0.240)
Embedded Image0.378 (1.007)
Embedded Image0.521 (1.223)
Embedded Image- 0.003 (0.158)
Embedded Image0.035 (1.365)
Embedded Image0.276 (0.629)
Embedded Image0.719 (1.241)
Embedded Image- 0.043** (- 1.977)
Embedded Image- 0.042 (1.184)
Embedded Image0.253 (0.701)
Embedded Image- 0.139 (0.360)
Embedded Image0.006 (0.423)
Embedded Image- 0.016 (0.829)
Embedded Imagea- 0.554 (1.169)
Embedded Image0.424 (0.918)
Embedded Image- 0.012 (1.037)
Embedded Image0.007 (0.305)
G. Error Component (λijHj in Equation [1])
Standard deviation of error component for the three sites ijHj- 2.840***(- 13.446)
Model Statistics
Number of observations3,150
LL- 3,306
AIC2.36
BIC2.42
  • Note: AIC, Akaike information criterion; BIC, Bayesian information criterion; LL, log-likelihood.

  • a The spatial expansion variables that are significant in the reduced model (Model III in Table 3).

  • ** Significance at the 5%

  • *** significance at the 1% level.