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

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Outline Overview Moment equations, with choices More general challenges References 1 Overview 2 Moment equations, with choices 3 More general challenges Ben Bolker Spatial <strong>models</strong> in ecology
Model classes Overview Moment equations, with choices More general challenges References Space Time Populations Stoch Model discrete discrete discrete no cellular automaton discrete discrete discrete yes probabilistic (stochastic) CA discrete discrete continuous maybe coupled-map lattice discrete continuous discrete yes interacting particle system ≈ pair approximation continuous discrete continuous maybe integrodierence eq'ns continuous either discrete yes spatial point process ≈ spatial moment equations continuous continuous continuous no integrodierential, partial dierential (reaction-diusion) eq'ns continuous continuous continuous yes stochastic integro/ partial di. eq'n Ben Bolker Spatial <strong>models</strong> in ecology
Page 1: Overview Moment equations, with cho
Page 5 and 6: Outline Overview Moment equations,
Page 7 and 8: Master equation Overview Moment equ
Page 9 and 10: Overview Moment equations, with cho
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 and 34: More . . . Overview Moment equation

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

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