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Land Use Dynamics and the Environment

Author

Listed:
  • Carmen Camacho

    (CES - Centre d'économie de la Sorbonne - UP1 - Université Paris 1 Panthéon-Sorbonne - CNRS - Centre National de la Recherche Scientifique)

  • Agustin Perez Barahona

    (CES - Centre d'économie de la Sorbonne - UP1 - Université Paris 1 Panthéon-Sorbonne - CNRS - Centre National de la Recherche Scientifique, X - École polytechnique - IP Paris - Institut Polytechnique de Paris, ECO-PUB - Economie Publique - INRA - Institut National de la Recherche Agronomique - AgroParisTech)

Abstract
This paper builds a benchmark framework to study optimal land use, encompassing land use activities and environmental degradation. We focus on the spatial externalities of land use as drivers of spatial patterns: land is immobile by nature, but local actions affect the whole space since pollution flows across locations resulting in both local and global damages. We prove that the decision maker problem has a solution, and characterize the corresponding social optimum trajectories by means of the Pontryagin conditions. We also show that the existence and uniqueness of time-invariant solutions are not in general guaranteed. Finally, a global dynamic algorithm is proposed in order to illustrate the spatial-dynamic richness of the model. We find that our simple set-up already reproduces a great variety of spatial patterns related to the interaction between land use activities and the environment. In particular, abatement technology turns out to play a central role as pollution stabilizer, allowing the economy to reach a time-invariant equilibrium that can be spatially heterogeneous.

Suggested Citation

  • Carmen Camacho & Agustin Perez Barahona, 2015. "Land Use Dynamics and the Environment," Université Paris1 Panthéon-Sorbonne (Post-Print and Working Papers) hal-01161661, HAL.
    • Handle: RePEc:hal:cesptp:hal-01161661
    DOI: 10.1016/j.jedc.2014.11.013
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    Cited by:

    1. La Torre, Davide & Liuzzi, Danilo & Marsiglio, Simone, 2015. "Pollution diffusion and abatement activities across space and over time," Mathematical Social Sciences, Elsevier, vol. 78(C), pages 48-63.
    2. Raouf Boucekkine & Giorgio Fabbri & Salvatore Federico & Fausto Gozzi, 2018. "Geographic Environmental Kuznets Curves: The Optimal Growth Linear-Quadratic Case," AMSE Working Papers 1813, Aix-Marseille School of Economics, France.
    3. Boucekkine, Raouf & Fabbri, Giorgio & Federico, Salvatore & Gozzi, Fausto, 2021. "From firm to global-level pollution control: The case of transboundary pollution," European Journal of Operational Research, Elsevier, vol. 290(1), pages 331-345.
    4. Simon Levin & Anastasios Xepapadeas, 2021. "On the Coevolution of Economic and Ecological Systems," Annual Review of Resource Economics, Annual Reviews, vol. 13(1), pages 355-377, October.
    5. Boucekkine, Raouf & Fabbri, Giorgio & Federico, Salvatore & Gozzi, Fausto, 2022. "A dynamic theory of spatial externalities," Games and Economic Behavior, Elsevier, vol. 132(C), pages 133-165.
    6. Anastasios Xepapadeas & Athanasios Yannacopoulos, 2015. "Spatial Resource Management under Pollution Externalities," CEEES Paper Series CE3S-05/15, European University at St. Petersburg, Department of Economics.
    7. de Frutos, Javier & Martín-Herrán, Guiomar, 2019. "Spatial vs. non-spatial transboundary pollution control in a class of cooperative and non-cooperative dynamic games," European Journal of Operational Research, Elsevier, vol. 276(1), pages 379-394.
    8. Emmanuelle Augeraud-Véron & Raouf Boucekkine & Vladimir Veliov, 2019. "Distributed Optimal Control Models in Environmental Economics: A Review," AMSE Working Papers 1902, Aix-Marseille School of Economics, France.
    9. Boucekkine, Raouf & Fabbri, Giorgio & Federico, Salvatore & Gozzi, Fausto, 2022. "Managing spatial linkages and geographic heterogeneity in dynamic models with transboundary pollution," Journal of Mathematical Economics, Elsevier, vol. 98(C).
    10. Javier de Frutos & Guiomar Martín-Herrán, 2016. "Pollution control in a multiregional setting: a differential game with spatially distributed controls," Gecomplexity Discussion Paper Series 201601, Action IS1104 "The EU in the new complex geography of economic systems: models, tools and policy evaluation", revised Jan 2016.
    11. Camacho, Carmen, 2013. "Migration modelling in the New Economic Geography," Mathematical Social Sciences, Elsevier, vol. 66(3), pages 233-244.
    12. Boucekkine, Raouf & Ruan, Weihua & Zou, Benteng, 2023. "The irreversible pollution game," Journal of Environmental Economics and Management, Elsevier, vol. 120(C).
    13. Kyriakopoulou, Efthymia & Xepapadeas, Anastasios, 2013. "Environmental policy, first nature advantage and the emergence of economic clusters," Regional Science and Urban Economics, Elsevier, vol. 43(1), pages 101-116.
    14. Raouf Boucekkine & Giorgio Fabbri & Salvatore Federico & Fausto Gozzi, 2019. "A spatiotemporal framework for the analytical study of optimal growth under transboundary pollution," LIDAM Discussion Papers IRES 2019016, Université catholique de Louvain, Institut de Recherches Economiques et Sociales (IRES).
    15. Emmanuelle Augeraud-Véron & Catherine Choquet & Éloïse Comte, 2017. "Optimal Control for a Groundwater Pollution Ruled by a Convection–Diffusion–Reaction Problem," Journal of Optimization Theory and Applications, Springer, vol. 173(3), pages 941-966, June.
    16. Torre, Davide La & Liuzzi, Danilo & Marsiglio, Simone, 2021. "Transboundary pollution externalities: Think globally, act locally?," Journal of Mathematical Economics, Elsevier, vol. 96(C).
    17. Ballestra, Luca Vincenzo, 2016. "The spatial AK model and the Pontryagin maximum principle," Journal of Mathematical Economics, Elsevier, vol. 67(C), pages 87-94.
    18. Boucekkine, Raouf & Fabbri, Giorgio & Federico, Salvatore & Gozzi, Fausto, 2021. "From firm to global-level pollution control: The case of transboundary pollution," European Journal of Operational Research, Elsevier, vol. 290(1), pages 331-345.
    19. Zhang, Ling & Zhang, Lei & Xu, Yan & Zhou, Peng & Yeh, Chung-Hsing, 2020. "Evaluating urban land use efficiency with interacting criteria: An empirical study of cities in Jiangsu China," Land Use Policy, Elsevier, vol. 90(C).
    20. Rintaro Yamaguchi, 2021. "Genuine Savings and Sustainability with Resource Diffusion," Environmental & Resource Economics, Springer;European Association of Environmental and Resource Economists, vol. 80(2), pages 451-471, October.
    21. Seema Mehra Parihar & Vijendra Kumar Pandey & Anshu & Karuna Shree & Khusro Moin & Mohammed Baber Ali & Kanchana Narasimhan & Jeetesh Rai & Azka Kamil, 2022. "Land Use Dynamics and Impact on Regional Climate Post-Tehri Dam in the Bhilangana Basin, Garhwal Himalaya," Sustainability, MDPI, vol. 14(16), pages 1-16, August.
    22. Davide La Torre & Danilo Liuzzi & Simone Marsiglio, 2022. "Geographical heterogeneities and externalities in an epidemiological‐macroeconomic framework," Journal of Public Economic Theory, Association for Public Economic Theory, vol. 24(5), pages 1154-1181, October.
    23. Bahlali, Mohamed & Petit, Quentin, 2024. "An equilibrium model of city with atmospheric pollution dispersion," Journal of Mathematical Economics, Elsevier, vol. 111(C).

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    More about this item

    Keywords

    Land use; Spatial dynamics; Pollution;
    All these keywords.

    JEL classification:

    • Q5 - Agricultural and Natural Resource Economics; Environmental and Ecological Economics - - Environmental Economics
    • C6 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling
    • R1 - Urban, Rural, Regional, Real Estate, and Transportation Economics - - General Regional Economics
    • R14 - Urban, Rural, Regional, Real Estate, and Transportation Economics - - General Regional Economics - - - Land Use Patterns

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