Continuous-space models for (ecological) population dynamics - ICMS

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Overview Moment equations, with choices More general challenges References Connections with data Does knowing the expected correlation structure help us t models Do we need to derive the moments of the correlation structure itself Is deconvolution possible Easy Ben Bolker Spatial models in ecology
Overview Moment equations, with choices More general challenges References Ecological questions: invasion Can a population grow when rare (Is the invasion eigenvalue> 0 What is the value of R 0 ) (Bound mean density away from zero) How fast does a species invade a novel habitat (wave speed) (Ellner et al., 1998; Lewis, 2000; Lewis and Pacala, 2000; Neubert and Caswell, 2000) Community dynamics: if N species have stable equilibria, can the N + 1 st species invade permanence: are the dynamics bounded in the space where all species have positive density invader growth rates under nonequilibrial resident dynamics Ben Bolker Spatial models in ecology
Page 1 and 2: Overview Moment equations, with cho
Page 3 and 4: Model classes Overview Moment equat
Page 5 and 6: Outline Overview Moment equations,
Page 7 and 8: Master equation Overview Moment equ
Page 13 and 14: Expand covariances Overview Moment
Page 17 and 18: Continuum limits Overview Moment eq
Page 23 and 24: Analysis Overview Moment equations,
Page 25 and 26: Exploiting linearity Overview Momen
Page 29 and 30: Species coexistence Overview Moment
Page 33: More . . . Overview Moment equation

Continuous-space models for (ecological) population dynamics - ICMS

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