POPULATION GROWTH IN SPACE AND TIME: SPATIAL LOGISTIC EQUATIONS

By R. Law, D. Murrell, Ulf Dieckmann. 2003

306 citations recorded by the source corpus.

Subfields: Nature and Landscape Conservation, Public Health, Environmental and Occupational Health, Sociology and Political Science

View Paper: https://www.semanticscholar.org/paper/a7afe75136d18635000ccfd767375edee3ffcfa4

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Citations in the corpus

A microscopic interpretation for adaptive dynamics trait substitution sequence models (2005, background): “Equation (18) is a consequence of large deviations estimates for the sequence of laws (Pz )K≥1.”
Stochastic Models for Structured Populations: Scaling Limits and Long Time Behavior (2015, background): “([59]), and mathematically studied by Fournier and Méléard [38].”
Adaptive models for large herbivore movements in heterogeneous landscapes (2005, background): “Recent developments in spatial ecology highlights the importance of the size and shape of redistribution kernels (Kot et al. 1996; Lewis 1997; Keeling et al. 2000; Murrell and Law 2000; Law et al. 2003).”
Spatial concordance between seed rain and seedling establishment in bird‐dispersed trees: does scale matter? (2005, background): “…that recruitment is determined by the number of seeds arriving at safe sites (dispersal limitation) rather than by the number of sites suitable for establishment (microsite limitation; Turnbull et al. 2000; De Steven & Wright 2002; see also Law et al. 2003 for dispersal–competition trade-offs).”
From Individual Stochastic Processes to Macroscopic Models in Adaptive Evolution (2008, methodology): “These kinds of models have been introduced by Bolker and Pacala[2,3] and Law et al.[19], and mathematically studied by Fournier and Méléard[15].”
A microscopic probabilistic description of a locally regulated population and macroscopic approximations (2004, methodology): “We also give a rigorous sense to the covariance terms formally defined in [2] or [9], [4], [10].”
Survival and extinction in a locally regulated population (2004, background): “This model cannot be extended to higher spatial dimensions, for then, if a solution to equation (1) were to exist, it would be distribution valued [Walsh (1986)] which renders the nonlinear term meaningless.”
Heteromyopia and the spatial coexistence of similar competitors (2002, background): “Within species (i ¼ j), these opposing forces lead eventually to a characteristic spatial structure which may be aggregated or overdispersed ( Law et al. 2002 ).”