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 | |
| 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
Aggregation in model ecosystems. I. Perfect aggregation. / Iwasa, Yoh; Andreasen, Viggo; Levin, Simon.
In: Ecological Modelling, Vol. 37, No. 3-4, 01.01.1987, p. 287-302.Research output: Contribution to journal › Article
}
TY - JOUR
T1 - Aggregation in model ecosystems. I. Perfect aggregation
AU - Iwasa, Yoh
AU - Andreasen, Viggo
AU - Levin, Simon
PY - 1987/1/1
Y1 - 1987/1/1
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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UR - http://www.scopus.com/inward/citedby.url?scp=0023470997&partnerID=8YFLogxK
U2 - 10.1016/0304-3800(87)90030-5
DO - 10.1016/0304-3800(87)90030-5
M3 - Article
AN - SCOPUS:0023470997
VL - 37
SP - 287
EP - 302
JO - Ecological Modelling
JF - Ecological Modelling
SN - 0304-3800
IS - 3-4
ER -