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Optimal short-term policies for protection of single biological species from local extinction

Author

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  • Cruz-Rivera, Erica
  • Vasilieva, Olga
  • Svinin, Mikhail

Abstract

This work introduces a finite-horizon bioeconomic growth model that links the biological evolution of a single species with the capital accumulation dynamics. The model is formulated as a problem of optimal control with non-consumptive objective regarding the biological species. The application of the Pontryagin's maximum principle allows designing a decision policy for short-term optimal planning and converts the optimal control problem to a two-point boundary value problem. The latter is then solved numerically using the MATLAB routine bvp4c. The results of numerical simulations suggest the existence of optimal policies capable to enhance even (initially) scarce species populations within a finite period of time. This supplements previous studies of various scholars where such policies were designed for infinite horizon and required initial abundance of the species.

Suggested Citation

  • Cruz-Rivera, Erica & Vasilieva, Olga & Svinin, Mikhail, 2013. "Optimal short-term policies for protection of single biological species from local extinction," Ecological Modelling, Elsevier, vol. 263(C), pages 273-280.
    • Handle: RePEc:eee:ecomod:v:263:y:2013:i:c:p:273-280
    DOI: 10.1016/j.ecolmodel.2013.05.013
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    References listed on IDEAS

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    1. Eppink, Florian V. & van den Bergh, Jeroen C.J.M., 2007. "Ecological theories and indicators in economic models of biodiversity loss and conservation: A critical review," Ecological Economics, Elsevier, vol. 61(2-3), pages 284-293, March.
    2. Cruz-Rivera, Erica & Vasilieva, Olga, 2013. "Optimal policies aimed at stabilization of populations with logistic growth under human intervention," Theoretical Population Biology, Elsevier, vol. 83(C), pages 123-135.
    3. Alexander, Robert R., 2000. "Modelling species extinction: the case for non-consumptive values," Ecological Economics, Elsevier, vol. 35(2), pages 259-269, November.
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