PARAMETER ESTIMATION FOR AN ALLOMETRIC FOOD WEB MODEL

H.T. Banks, J.E. Banks, R. Bommarco, A. Curtsdotter, T. Jonsson, A.N. Laubmeier

IJPAM: Volume 114, No. 1 (2017)

Title

PARAMETER ESTIMATION
FOR AN ALLOMETRIC FOOD WEB MODEL

Authors

H.T. Banks

, J.E. Banks

, Riccardo Bommarco

,
Alva Curtsdotter

, Tomas Jonsson

, A.N. Laubmeier

$^{1,6}$ Center for Research in Scientific Computation
North Carolina State University
Raleigh, NC 27695, USA

Undergraduate Research Opportunities Center (UROC)
California State University, Monterey Bay
Seaside, CA 93955, USA
$^{3,4,5}$ Department of Ecology
Swedish University of Agricultural Sciences
Uppsala, SE-75007, SWEDEN

School of Bioscience
University of Skövde
Skövde, SE-54128, SWEDEN

Abstract

The application of mechanistic models to natural systems is of interest to ecological researchers. We use the mechanistic Allometric Trophic Network (ATN) model, which is well-studied for controlled and theoretical systems, to describe the dynamics of the aphid Rhopalosiphum padi in an agricultural field. We diagnose problems that arise in a first attempt at a least squares parameter estimation on this system, including formulation of the model for the inverse problem and information content present in the data. We seek to establish whether the field data, as it is currently collected, can support parameter estimation for the ATN model.

History

Received: March 27, 2017
Revised: April 20, 2017
Published: April 21, 2017

AMS Classification, Key Words

AMS Subject Classification: 92D25, 92D40, 65L09, 93C10
Key Words and Phrases: population models, Rhopalosiphum padi, allometric trophic network, parameter estimation, residual analysis, model selection

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How to Cite?

DOI: 10.12732/ijpam.v114i1.12 How to cite this paper?

Source: International Journal of Pure and Applied Mathematics
ISSN printed version: 1311-8080
ISSN on-line version: 1314-3395
Year: 2017
Volume: 114
Issue: 1
Pages: 143 - 160

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