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JOURNAL OF PLANKTON RESEARCH | VOLUME 19 | NUMBER 12 | PAGES 1913-1928 | 1997
© Oxford University Press

research-article

Estimating growth and mortality in stage-structured populations

Brian J. Rothschild, Alexei F. Sharov, Anthony J. Kearsley1 and Alexander S. Bondarenko2

Center for Marine Sciences and Technology (CMAST), University of Massachusetts at Dartmouth North Dartmouth, MA 02747 1Mathematical and Computational Sciences Division, National Institute of Standards and Technology Gaithersburg, MD 20899-0001 2Department of Mathematics, University of Massachusetts at Dartmouth North Dartmouth, MA 02747, USA

Received on September 30, 1996; accepted on August 12, 1997 This paper presents a practical numerical method for separating and estimating growth and mortality coefficients in stage- or size-structured populations using only observations of the relative or absolute abundance of each stage. The method involves writing a system of linear ordinary differential equations (ODEs) modelling the rate of change of abundance. The solution of the differential system can be numerically approximated using standard (e.g. sixth-order Runge-Kutta-Felhberg) methods. An optimization problem whose solutions yield ‘optimal’ coefficients for a given model is formulated. The ODE numerical integration technique can then be employed to furnish required function and gradient information to the optimization algorithm. The data-fitting software package ODRPACK is then successfully employed to estimate optimal coefficients for the ODE population model. Simulation experiments with four- and eight-stage model populations illustrate that the method results in the successful estimation of coefficients of mortality and growth from abundance data.


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