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Food web conservation vs. strategic threats: A security game approach

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  • Gatmiry, Zohreh S.
  • Hafezalkotob, Ashkan
  • Khakzar bafruei, Morteza
  • Soltani, Roya

Abstract

Multi-species conservation is of critical concern in ecosystem management science. In this context, modeling the effect of strategic threats on decision-making is a challenging problem that has not been sufficiently addressed. Using a security game approach, this paper investigates the optimal conservation of a food web against a strategic threat. The model builds upon the non-cooperative Stackelberg game, wherein conservator (defender) and adversary (attacker) play as leader and follower, respectively. The objective of the defender is to preventively maximize the entire web reliability, under financial and ecological constraints. The defender optimally manipulates the populations of an optimal subset of species to achieve this. In contrast, the attacker attempts to maximize web unreliability by decreasing the population of selected species, using limited resources. A meta-heuristic algorithm is developed to compute the equilibrium strategy, and the model is validated through numerical examples. Additionally, in a scenario-based approach, it is examined how the defense and attack strategies, as well as food web reliability, change as the population of keystone species change. The results also show that the combinational use of mathematical optimization and food web-specific conservation prioritization indices yields a practical tool for food web conservation prioritization. The results specifically yield theoretical insights into how to optimally control trophic cascade effects due to changing keystone species populations. A step-wise methodology is proposed to implement the model.

Suggested Citation

  • Gatmiry, Zohreh S. & Hafezalkotob, Ashkan & Khakzar bafruei, Morteza & Soltani, Roya, 2021. "Food web conservation vs. strategic threats: A security game approach," Ecological Modelling, Elsevier, vol. 442(C).
    • Handle: RePEc:eee:ecomod:v:442:y:2021:i:c:s0304380021000016
    DOI: 10.1016/j.ecolmodel.2021.109426
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    References listed on IDEAS

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    1. Billionnet, Alain, 2013. "Mathematical optimization ideas for biodiversity conservation," European Journal of Operational Research, Elsevier, vol. 231(3), pages 514-534.
    2. E. McDonald-Madden & R. Sabbadin & E. T. Game & P. W. J. Baxter & I. Chadès & H. P. Possingham, 2016. "Using food-web theory to conserve ecosystems," Nature Communications, Nature, vol. 7(1), pages 1-8, April.
    3. Dan Kovenock & Brian Roberson, 2012. "Strategic Defense And Attack For Series And Parallel Reliability Systems: Rejoinder," Defence and Peace Economics, Taylor & Francis Journals, vol. 23(5), pages 521-524, October.
    4. Hausken, Kjell, 2017. "Defense and attack for interdependent systems," European Journal of Operational Research, Elsevier, vol. 256(2), pages 582-591.
    5. Dan Kovenock & Brian Roberson, 2012. "Strategic Defense And Attack For Series And Parallel Reliability Systems: Comment," Defence and Peace Economics, Taylor & Francis Journals, vol. 23(5), pages 507-515, October.
    6. Liao, Jinbao & Li, Zhenqing & Hiebeler, David E. & El-Bana, Magdy & Deckmyn, Gaby & Nijs, Ivan, 2013. "Modelling plant population size and extinction thresholds from habitat loss and habitat fragmentation: Effects of neighbouring competition and dispersal strategy," Ecological Modelling, Elsevier, vol. 268(C), pages 9-17.
    7. Borrett, Stuart R. & Sheble, Laura & Moody, James & Anway, Evan C., 2018. "Bibliometric review of ecological network analysis: 2010–2016," Ecological Modelling, Elsevier, vol. 382(C), pages 63-82.
    8. Benoît Colson & Patrice Marcotte & Gilles Savard, 2007. "An overview of bilevel optimization," Annals of Operations Research, Springer, vol. 153(1), pages 235-256, September.
    9. Conrad, Jon M., 2018. "Real Options for Endangered Species," Ecological Economics, Elsevier, vol. 144(C), pages 59-64.
    10. Schaubroeck, Thomas & Staelens, Jeroen & Verheyen, Kris & Muys, Bart & Dewulf, Jo, 2012. "Improved ecological network analysis for environmental sustainability assessment; a case study on a forest ecosystem," Ecological Modelling, Elsevier, vol. 247(C), pages 144-156.
    11. Hussain, A.M. Tanvir & Tschirhart, John, 2013. "Economic/ecological tradeoffs among ecosystem services and biodiversity conservation," Ecological Economics, Elsevier, vol. 93(C), pages 116-127.
    12. Byron, Carrie & Link, Jason & Costa-Pierce, Barry & Bengtson, David, 2011. "Calculating ecological carrying capacity of shellfish aquaculture using mass-balance modeling: Narragansett Bay, Rhode Island," Ecological Modelling, Elsevier, vol. 222(10), pages 1743-1755.
    13. Kjell Hausken, 2019. "Defence and attack of complex interdependent systems," Journal of the Operational Research Society, Taylor & Francis Journals, vol. 70(3), pages 364-376, March.
    14. Hausken, Kjell, 2017. "Special versus general protection and attack of parallel and series components," Reliability Engineering and System Safety, Elsevier, vol. 165(C), pages 239-256.
    15. Lim, R.B.H. & Liew, J.H. & Kwik, J.T.B. & Yeo, D.C.J., 2018. "Predicting food web responses to biomanipulation using Bayesian Belief Network: Assessment of accuracy and applicability using in-situ exclosure experiments," Ecological Modelling, Elsevier, vol. 384(C), pages 308-315.
    16. Shahid Naeem & Shibin Li, 1997. "Biodiversity enhances ecosystem reliability," Nature, Nature, vol. 390(6659), pages 507-509, December.
    17. Kjell Hausken, 2014. "Choosing what to protect when attacker resources and asset valuations are uncertain," Operations Research and Decisions, Wroclaw University of Science and Technology, Faculty of Management, vol. 24(3), pages 23-44.
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