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Optimal pricing of protected areas under multiple sites demand models

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  • Vásquez-Lavín, Felipe
  • Leiva, Mauricio
  • Campos-Requena, Nelyda

Abstract

This study extends Alpízar's (2006) price discrimination model for protected areas in nature-based tourism from a continuous demand to a discrete choice model. The original model provided a discrimination price solution for national and foreign visitors to a single site choice, limiting the model's application. Meanwhile, our extended model recognizes multiple recreational site options, each with a probability of being selected, including the likelihood of not choosing any site. We illustrate our theoretical model to evaluate the optimal pricing for national and foreign visitors using Peru's two National Protected Areas. The results indicate a significant revenue increase when both sites' entrance fees are optimized. The discrete choice approach, with its flexibility, captures substitution patterns among recreational sites, increasing the realism of the tool for policymakers and park managers. Our model can enhance sustainable nature-based tourism management by aligning discriminatory entrance fees with economic theory to ensure protected areas' long-term viability.

Suggested Citation

  • Vásquez-Lavín, Felipe & Leiva, Mauricio & Campos-Requena, Nelyda, 2025. "Optimal pricing of protected areas under multiple sites demand models," Ecological Economics, Elsevier, vol. 233(C).
    • Handle: RePEc:eee:ecolec:v:233:y:2025:i:c:s0921800925000874
    DOI: 10.1016/j.ecolecon.2025.108604
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    1. von Haefen R.H. & Phaneuf D.J. & Parsons G.R., 2004. "Estimation and Welfare Analysis With Large Demand Systems," Journal of Business & Economic Statistics, American Statistical Association, vol. 22, pages 194-205, April.
    2. Vasquez Lavin, Felipe & Hanemann, W. Michael, 2008. "Functional Forms in Discrete/Continuous Choice Models With General Corner Solution," Department of Agricultural & Resource Economics, UC Berkeley, Working Paper Series qt7z25t659, Department of Agricultural & Resource Economics, UC Berkeley.
    3. Kelsi G. Hobbs & Albert N. Link & Christopher A. Swann, 2022. "The overcrowding of Zion National Park: is it a pricing problem?," Journal of Environmental Economics and Policy, Taylor & Francis Journals, vol. 11(4), pages 351-360, October.
    4. Train,Kenneth E., 2009. "Discrete Choice Methods with Simulation," Cambridge Books, Cambridge University Press, number 9780521766555, June.
    5. Hanemann, Michael & Labandeira, Xavier & Labeaga, José M. & Vásquez-Lavín, Felipe, 2024. "Discrete-continuous models of residential energy demand: A comprehensive review," Resource and Energy Economics, Elsevier, vol. 77(C).
    6. Palma, David & Hess, Stephane, 2022. "Extending the Multiple Discrete Continuous (MDC) modelling framework to consider complementarity, substitution, and an unobserved budget," Transportation Research Part B: Methodological, Elsevier, vol. 161(C), pages 13-35.
    7. Lin Song & Yi Xue & Yaqiong Jing & Jincan Zhang, 2021. "Visitor’s Willingness to Pay for National Park Entrance Fees in China: Evidence from a Contingent Valuation Method," IJERPH, MDPI, vol. 18(24), pages 1-14, December.
    8. Pandit, Ram & Dhakal, Maheshwar & Polyakov, Maksym, 2015. "Valuing access to protected areas in Nepal: The case of Chitwan National Park," Tourism Management, Elsevier, vol. 50(C), pages 1-12.
    9. Yongjie Ji & David A. Keiser & Catherine L. Kling & Daniel J. Phaneuf, 2022. "Revenue and Distributional Consequences of Alternative Outdoor Recreation Pricing Mechanisms: Evidence from a Micropanel Data Set," Land Economics, University of Wisconsin Press, vol. 98(3), pages 478-494.
    10. Viteri Mejía, César & Brandt, Sylvia, 2015. "Managing tourism in the Galapagos Islands through price incentives: A choice experiment approach," Ecological Economics, Elsevier, vol. 117(C), pages 1-11.
    11. Sinclair, Michael & Ghermandi, Andrea & Signorello, Giovanni & Giuffrida, Laura & De Salvo, Maria, 2022. "Valuing Recreation in Italy's Protected Areas Using Spatial Big Data," Ecological Economics, Elsevier, vol. 200(C).
    12. Mayer, Marius & Woltering, Manuel, 2018. "Assessing and valuing the recreational ecosystem services of Germany’s national parks using travel cost models," Ecosystem Services, Elsevier, vol. 31(PC), pages 371-386.
    13. Johane Dikgang & Edwin Muchapondwa, 2017. "The determination of park fees in support of benefit sharing in Southern Africa," Tourism Economics, , vol. 23(6), pages 1165-1183, September.
    14. McConnell K. E., 1995. "Consumer Surplus from Discrete Choice Models," Journal of Environmental Economics and Management, Elsevier, vol. 29(3), pages 263-270, November.
    15. Weaver, David B. & Lawton, Laura J., 2017. "A new visitation paradigm for protected areas," Tourism Management, Elsevier, vol. 60(C), pages 140-146.
    16. F Ollier D Andrianambinina & Derek Schuurman & Mamy A Rakotoarijaona & Chantal N Razanajovy & Honorath M Ramparany & Serge C Rafanoharana & H Andry Rasamuel & Kevin D Faragher & Patrick O Waeber & Luc, 2023. "Boost the resilience of protected areas to shocks by reducing their dependency on tourism," PLOS ONE, Public Library of Science, vol. 18(4), pages 1-17, April.
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