Abstract
The delineation of areas of high ecological or biodiversity value is a priority of any conservation program. However, the selection of optimal areas to be preserved necessarily results from a compromise between the complexity of ecological processes and managers’ constraints. Current reserve design models usually focus on few criteria, which often leads to an oversimplification of the underlying conservation issues. This paper shows that Constraint Programming (CP) can be the basis of a more unified, flexible and extensible framework. First, the reserve design problem is formalized. Secondly, the problem is modeled from two different angles by using two graph-based models. Then CP is used to aggregate those models through a unique Constraint Satisfaction Problem. Our model is finally evaluated on a real use case addressing the problem of rainforest fragmentation in New Caledonia, a biodiversity hotspot. Results are promising and highlight challenging perspectives to overtake in future work.
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References
Beier, P., Spencer, W., Baldwin, R.F., McRAE, B.H.: Toward best practices for developing regional connectivity maps. Conserv. Biol. 25(5), 879–892 (2011)
Baguette, M., Blanchet, S., Legrand, D., Stevens, V.M., Turlure, C.: Individual dispersal, landscape connectivity and ecological networks. Biol. Rev. 88(2), 310–326 (2013)
Haddad, N.M., et al.: Habitat fragmentation and its lasting impact on Earths ecosystems. Sci. Adv. 1(2), e1500052 (2015)
Prendergast, J.R., Quinn, R.M., Lawton, J.H., Eversham, B.C., Gibbons, D.W.: Rare species, the coincidence of diversity hotspots and conservation strategies. Nature 365(6444), 335–337 (1993)
Sarkar, S.: Environmental philosophy: from theory to practice. Stud. History Philos. Sci. Part C Stud. History Philos. Biol. Biomed. Sci. 45, 89–91 (2013)
Pressey, R.L., Humphries, C.J., Margules, C.R., Vane-Wright, R.I., Williams, P.H.: Beyond opportunism: key principles for systematic reserve selection. Trends Ecol. Evol. 8(4), 124–128 (1993)
ReVelle, C.S., Williams, J.C., Boland, J.J.: Counterpart models in facility location science and reserve selection science. Environ. Model. Assess. 7(2), 71–80 (2002)
Billionnet, A.: Solving the probabilistic reserve selection problem. Ecol. Model. 222, 546–554 (2011)
Watts, M.E., et al.: Marxan with Zones: software for optimal conservation based land- and sea-use zoning. Environ. Model. Softw. 24(12), 1513–1521 (2009)
Diamond, J.M.: The island dilemma: lessons of modern biogeographic studies for the design of natural reserves. Biol. Conserv. 7(2), 129–146 (1975)
Williams, J.C., ReVelle, C.S., Levin, S.A.: Spatial attributes and reserve design models: a review. Environ. Model. Assess. 10(3), 163–181 (2005)
Billionnet, A.: Designing connected and compact nature reserves. Environ. Model. Assess. 21(2), 211–219 (2016)
Dilkina, B., et al.: Trade-offs and efficiencies in optimal budget-constrained multispecies corridor networks. Conserv. Biol. 31(1), 192–202 (2017)
Jafari, N., Nuse, B.L., Moore, C.T., Dilkina, B., Hepinstall-Cymerman, J.: Achieving full connectivity of sites in the multiperiod reserve network design problem. Comput. Oper. Res. 81, 119–127 (2017)
Rodrigues, A.S., Cerdeira, J.O., Gaston, K.J.: Flexibility, efficiency, and accountability: adapting reserve selection algorithms to more complex conservation problems. Ecography 23(5), 565–574 (2000)
Prud’homme, C., Fages, J.G., Lorca, X.: Choco Documentation (2017)
Sahr, K., White, D., Kimerling, A.J.: Geodesic discrete global grid systems. Cartography Geogr. Inf. Sci. 30(2), 121–134 (2003)
Birch, C.P.D., Oom, S.P., Beecham, J.A.: Rectangular and hexagonal grids used for observation, experiment and simulation in ecology. Ecol. Model. 206(3), 347–359 (2007)
Guisan, A., Zimmermann, N.E.: Predictive habitat distribution models in ecology. Ecol. Model. 135(2), 147–186 (2000)
Elith, J., Leathwick, J.R.: Species distribution models: ecological explanation and prediction across space and time. Ann. Rev. Ecol. Evol. Syst. 40(1), 677–697 (2009)
Etienne, R.S., Heesterbeek, J.A.: On optimal size and number of reserves for metapopulation persistence. J. Theor. Biol. 203(1), 33–50 (2000)
Dooms, G.: The CP(Graph) Computation Domain in Constraint Programming. Ph.D. thesis, UCL - Université Catholique de Louvain (2006)
Beldiceanu, N., Carlsson, M., Rampon, J.X., Truchet, C.: Graph Invariants as Necessary Conditions for Global Constraints. Swedish Institute of Computer Science (2005)
Beldiceanu, N., Carlsson, M., Demassey, S., Petit, T.: Graph properties based filtering. In: Benhamou, F. (ed.) CP 2006. LNCS, vol. 4204, pp. 59–74. Springer, Heidelberg (2006). https://doi.org/10.1007/11889205_7
Beldiceanu, N., Carlsson, M., Rampon, J.X.: Global Constraint Catalog, 2nd edn., (Revision A). Swedish Institute of Computer Science (2012)
Fages, J.G., Prud’homme, C., Lorca, X.: Choco Graph Documentation, February 2018
Bockmayr, A., Pisaruk, N., Aggoun, A.: Network flow problems in constraint programming. In: Walsh, T. (ed.) CP 2001. LNCS, vol. 2239, pp. 196–210. Springer, Heidelberg (2001). https://doi.org/10.1007/3-540-45578-7_14
Ibanez, T., Hequet, V., Chambrey, C., Jaffré, T., Birnbaum, P.: How does forest fragmentation affect tree communities? a critical case study in the biodiversity hotspot of New Caledonia. Landscape Ecol. 32(8), 1671–1687 (2017)
Pouteau, R., et al.: Accounting for the indirect area effect in stacked species distribution models to map species richness in a montane biodiversity hotspot. Divers. Distrib. 21(11), 1329–1338 (2015)
Schmitt, S., Pouteau, R., Justeau, D., Boissieu, F., Birnbaum, P.: SSDM: an R package to predict distribution of species richness and composition based on stacked species distribution models. Methods Ecol. Evol. 8(12), 1795–1803 (2017)
Steiger, R., van Hoeve, W.J., Szymanek, R.: An efficient generic network flow constraint. In: Proceedings of the 2011 ACM Symposium on Applied Computing, SAC 2011, pp. 893–900. ACM, New York (2011)
Downing, N., Feydy, T., Stuckey, P.J.: Explaining flow-based propagation. In: Beldiceanu, N., Jussien, N., Pinson, É. (eds.) CPAIOR 2012. LNCS, vol. 7298, pp. 146–162. Springer, Heidelberg (2012). https://doi.org/10.1007/978-3-642-29828-8_10
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Justeau-Allaire, D., Birnbaum, P., Lorca, X. (2018). Unifying Reserve Design Strategies with Graph Theory and Constraint Programming. In: Hooker, J. (eds) Principles and Practice of Constraint Programming. CP 2018. Lecture Notes in Computer Science(), vol 11008. Springer, Cham. https://doi.org/10.1007/978-3-319-98334-9_33
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DOI: https://doi.org/10.1007/978-3-319-98334-9_33
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