ANZIAM J.
48 (2007), 461-473
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Using Modified Proper Orthogonal Decomposition (MPOD) for reducing ecosystem models
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J. Lawrie
School of Mathematical and Geospatial Sciences
RMIT University
Melbourne
Australia
jock.lawrie@gmail.com
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J. W. Hearne
School of Mathematical and Geospatial Sciences
RMIT University
Melbourne
Australia
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Abstract
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In this paper we consider simplifying a model of the nitrogen cycle in Port Phillip Bay,
Victoria, Australia. The approach taken is to aggregate state variables that are linearly
related using a projection in state space. The technique involved is a modification of proper
orthogonal decomposition and was developed so that a resulting simplified model retains
an ecological interpretation. It can be applied automatically, and enables insights into the
system to be gained that were not obvious beforehand. In the case of the Port Phillip
Bay model, we find that the variables representing water and sand are unaffected by the
remaining variables, while only variables on the same trophic level can be grouped together.
The validity of the aggregation under several nutrient loads is also discussed.
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Australian Mathematical Publishing Association Inc.
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Australian MS
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