From individuals to populations: Spatial structure, size structure, and the challenge of moment closure

Department of Mathematics, University of Glasgow, United Kingdom

Michael Raghib Moreno

Michael Raghib Moreno

Considerable effort in spatial ecology has been devoted to obtain population-level models from individual-level interactions. These models are expressed in terms of a set of statistics called spatial moments. Unfortunately, quantifying the dynamics of the first moment requires knowledge of the second moment, which in turn depends on the third one, and so on. I am investigating approaches that allow truncation of this hierarchy of moments by assuming that third spatial moments convey no extra information beyond that already captured by the first and second ones. Technically speaking, this assumption can be quantified by maximizing the Shannon entropy of the process subject to the constraints of normalization and given first and second moments.

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Last edited: 06 May 2016

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