Aggregation in model ecosystems. I. Perfect aggregation

Yoh Iwasa; Viggo Andreasen; Simon Levin

doi:10.1016/0304-3800(87)90030-5

Aggregation in model ecosystems. I. Perfect aggregation

Yoh Iwasa, Viggo Andreasen, Simon Levin

dynamic biology

Research output: Contribution to journal › Article

180 Citations (Scopus)

Abstract

Determining appropriate levels of aggregation or complexity constitutes a major problem in describing ecological systems. We give necessary and sufficient conditions for perfect aggregation in non-linear dynamical systems. This condition has a form explicitly related to that for aggregation of linear dynamics in automatic control theory and to that for aggregation of linear functions in economics. Application of the theory to several ecological examples supports the general principle of aggregating variables that functionally are either similar or complementary.

Original language	English
Pages (from-to)	287-302
Number of pages	16
Journal	Ecological Modelling
Volume	37
Issue number	3-4
DOIs	https://doi.org/10.1016/0304-3800(87)90030-5
Publication status	Published - Jan 1 1987

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All Science Journal Classification (ASJC) codes

Ecology, Evolution, Behavior and Systematics
Ecological Modelling
Ecology

Cite this

Iwasa, Y., Andreasen, V., & Levin, S. (1987). Aggregation in model ecosystems. I. Perfect aggregation. Ecological Modelling, 37(3-4), 287-302. https://doi.org/10.1016/0304-3800(87)90030-5

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Access to Document

10.1016/0304-3800(87)90030-5