Spatial models for species area curves

DOI10.1214/aop/1041903204zbMath0939.92032OpenAlexW2012905900MaRDI QIDQ674501

J. Theodore Cox, Maury Bramson, Richard T. Durrett

Publication date: 21 June 2000

Published in: The Annals of Probability (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1214/aop/1041903204

zbMATH Keywords

mutation ratemultitype voter modelnumber of species

Mathematics Subject Classification ID

Interacting random processes; statistical mechanics type models; percolation theory (60K35) Population dynamics (general) (92D25) Ecology (92D40)

Related Items (6)

Multifractal analysis of neutral community spatial structure ⋮ Stochastic spatial models in ecology: a statistical physics approach ⋮ Spread of two linked social norms on complex interaction networks ⋮ Spatial models for species area curves ⋮ The ancestral graph and gene genealogy under frequency-dependent selection ⋮ A spatial model for the abundance of species

Cites Work

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• Spatial models for species area curves
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• On random placement and species-area relations
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• Ergodic theorems for weakly interacting infinite systems and the voter model
• Renormalizing the 3-dimensional voter model
• Additive and cancellative interacting particle systems
• Consolidation rates for two interacting systems in the plane
• A model for spatial conflict

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