Table 3

Demand Estimation Results Using Upstream HUC12s Instruments by Quarters

Q1Q2Q3Q4
First stage
 Travel costs−0.005***−0.006***−0.007***−0.005***
(0.000)(0.000)(0.000)(0.000)
 Observations411,401411,401411,401411,401
Second stage
 Predicted advisory−0.353***−0.509***−0.574***−0.375***
(0.108)(0.191)(0.206)(0.140)
 Observations1445144514451445
ASC-by-quarter fixed effectsYesYesYesYes
IVsYesYesYesYes
Kleibergen-Paap rk Wald F29.7629.7629.7629.76
Stock-Yogo16.3816.3816.3816.38
MWTP−73.178−73.552−87.494−69.462
  • Note: The Kleibergen-Paap rk Wald F-statistic is used in instrumental variable (IV) regressions to test for weak instruments. The Stock-Yogo threshold provides critical values to assess weak instrument bias. MWTP are derived as the ratio of the advisory coefficient to the marginal utility of travel cost (i.e., − Embedded Image). We generated 1,000 bootstrapped values of MWTP for each data sample and constructed 95% confidence intervals by deleting the top 5% and the lowest 5% of the distribution of bootstrapped values. MWTP = marginal willingness to pay.

  • ↵* p < 0.1; ** p < 0.05; *** p < 0.01.