Progress in modelling herring populations: an individual-based model of growth
Authored by Tommaso Russo, Stefano Mariani, Paolo Baldi, Antonio Parisi, Giuseppe Magnifico, Lotte Worsoe Clausen, Stefano Cataudella
Date Published: 2009
DOI: 10.1093/icesjms/fsp204
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Abstract
Stock assessment may gain from taking into account individual variations
in growth, because size is a key predictor of survival and reproduction.
In trying to understand patterns in empirical observations, a major
challenge is to model the changes in the size distribution of a cohort
with age. We introduce an individual-based growth model that is founded
on the use of a stochastic class of processes called subordinators. This
modelling approach has several desirable features, because it (i) can
take account of both individual and environmental sources of random
variations, (ii) has the property of letting size increase
monotonically, and (iii) ensures that the mean size-at-age follows the
widely accepted von Bertalanffy equation. The parameterization of the
model is tested on two Atlantic herring (Clupea harengus) datasets
collected from the stocks of North Sea autumn spawners (ICES Divisions
IVa, IVb, and IVc) and western Baltic spring spawners (ICES Subarea
III). The size distributions obtained from the subordinator model
largely match the observed size distributions, suggesting that this
approach might be successfully implemented to support the assessment of
commercial fish stocks, such as when modelling of size variability is
required.
Tags
Variability
Fish
Age
Reproduction
Larvae
Maturation
Increments
Von-bertalanffy models
Somatic growth
Size variation