A probabilistic model of reserve design

We develop a probabilistic approach to optimum reserve design based on the species–area relationship. Specifically, we focus on the distribution of areas among a set of reserves maximizing biodiversity. We begin by presenting analytic solutions for the neutral case in which all species have the same...

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Detalles Bibliográficos
Autores: Bascompte, Jordi, Luque, Bartolo, Olarrea, José, Lacasa, Lucas
Tipo de recurso: artículo
Fecha de publicación:2007
País:España
Institución:Consejo Superior de Investigaciones Científicas (CSIC)
Repositorio:DIGITAL.CSIC. Repositorio Institucional del CSIC
OAI Identifier:oai:digital.csic.es:10261/40164
Acceso en línea:http://hdl.handle.net/10261/40164
Access Level:acceso abierto
Palabra clave:Marine reserves
Island biogeography
Species–area
Power-laws
Nestedness
Colonization
Extinction
Descripción
Sumario:We develop a probabilistic approach to optimum reserve design based on the species–area relationship. Specifically, we focus on the distribution of areas among a set of reserves maximizing biodiversity. We begin by presenting analytic solutions for the neutral case in which all species have the same colonization probability. The optimum size distribution is determined by the local-to-regional species richness ratio k. There is a critical kt ratio defined by the number of reserves raised to the scaling exponent of the species–area relationship. Below kt , a uniform area distribution across reserves maximizes biodiversity. Beyond kt , biodiversity is maximized by allocating a certain area to one reserve and uniformly allocating the remaining area to the other reserves. We proceed by numerically exploring the robustness of our analytic results when departing from the neutral assumption of identical colonization probabilities across species