# A Latent Class Nested Logit Model for Rank-Ordered Data with Application to Cork Oak Reforestation

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## Abstract

We analyze stated ranking data collected from recreational visitors to the Alcornocales Natural Park (ANP) in Spain. The ANP is a large protected area which comprises mainly cork oak woodlands. The visitors ranked cork oak reforestation programs delivering different sets of environmental (reforestation technique, biodiversity, forest surface) and social (jobs and recreation sites created) outcomes. We specify a novel latent class nested logit model for rank-ordered data to estimate the distribution of willingness-to-pay for each outcome. Our modeling approach jointly exploits recent advances in discrete choice methods. The results suggest that prioritizing biodiversity would increase certainty over public support for a reforestation program. In addition, a substantial fraction of the visitor population are willing to pay more for the social outcomes than the environmental outcomes, whereas the existing reforestation subsidies are often justified by the environmental outcomes alone.

### Keywords

Discrete choice Stated preference Willingness-to-pay Forest Land use### JEL Classification

C33 C35 C51 Q23 Q51 Q57## Notes

### Acknowledgments

We thank Alejandro Caparrós and Pablo Campos for allowing us to access the data used in this study. We wish to thank Editor Christian Vossler and two anonymous referees for helpful and constructive comments. All views expressed herein are our own.

**Funding** Oviedo’s involvement in this study was funded by the Spanish Ministry of Economy and Competitiveness (VEABA ECO2013-42110-P, I + D National Plan).

### Compliance with Ethical Standards

### Conflict of interest

We declare that we have no conflict of interest.

## Supplementary material

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