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

Research output: Contribution to journal › Article › peer-review

203 Scopus citations

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 (US)
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
State	Published - Jul 1987
Externally published	Yes

All Science Journal Classification (ASJC) codes

Ecological Modeling

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10.1016/0304-3800(87)90030-5

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title = "Aggregation in model ecosystems. I. Perfect aggregation",

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.",

author = "Yoh Iwasa and Viggo Andreasen and Simon Levin",

note = "Funding Information: This publication is ERC-059 of the Ecosystems Research Center (ERC), Cornell University, and was supported in part by the U.S. Environmental Protection Agency Cooperative Agreement No. CR811060, and in part by NSF grant DMS-8406742 to Simon Levin. The work and conclusions published herein represent the views of the author(s), and do not necessarily represent the opinions, policies, or recommendations of the Environmental Protection Agency. We thank George Sugihara, Joel E. Cohen and Hironori Hirata for very helpful comments on the manuscript.",

year = "1987",

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doi = "10.1016/0304-3800(87)90030-5",

language = "English (US)",

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T1 - Aggregation in model ecosystems. I. Perfect aggregation

AU - Iwasa, Yoh

AU - Andreasen, Viggo

AU - Levin, Simon

N1 - Funding Information: This publication is ERC-059 of the Ecosystems Research Center (ERC), Cornell University, and was supported in part by the U.S. Environmental Protection Agency Cooperative Agreement No. CR811060, and in part by NSF grant DMS-8406742 to Simon Levin. The work and conclusions published herein represent the views of the author(s), and do not necessarily represent the opinions, policies, or recommendations of the Environmental Protection Agency. We thank George Sugihara, Joel E. Cohen and Hironori Hirata for very helpful comments on the manuscript.

PY - 1987/7

Y1 - 1987/7

N2 - 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.

AB - 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.

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EP - 302

JO - Ecological Modelling

JF - Ecological Modelling

IS - 3-4

ER -

Aggregation in model ecosystems. I. Perfect aggregation

Abstract

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