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THE COMPARATIVE STUDY OF FUNCTIONAL RESPONSES: EXPERIMENTAL DESIGN AND STATISTICAL INTERPRETATION

Published online by Cambridge University Press:  31 May 2012

Marilyn A. Houck and
Richard E. Strauss
Marilyn A. Houck
Affiliation:
Museum of Zoology, University of Michigan, Ann Arbor 48109
Richard E. Strauss
Affiliation:
Museum of Zoology, University of Michigan, Ann Arbor 48109
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Abstract

Mathematical discussions of models of functional response (predation rate as a function of prey density) have usually emphasized description of the shape of the functional-response curve. However, lack of congruence between experimental design and data analysis and under-utilization of appropriate statistical methods of analysis have hindered an empirical synthetic treatment of such feeding behavior. Here we review existing experimental and statistical procedures with reference to Holling's generalized model of functional response, and describe: (1) an experimental design compatible with the assumptions of the model; (2) a maximum-likelihood method for fitting the model; (3) several methods for statistical comparison of sets of functional-response curves; and (4) an exploratory graphical method for examining patterns of variation among larger numbers of samples.

Résumé

Les discussions mathématiques des modèles de réponse fonctionnelle (intensité de prédation en fonction de la densité de proie) insistent généralement sur la description de la forme de la courbe de réponse fonctionnelle. Cependant, le manque de cohérence entre le plan expérimental et l'analyse des données, ainsi que la sous-utilisation de méthodes d'analyse statistique appropriées ont empêché le développement d'une synthèse empirique de ce type d'alimentation. On passe ici en revue les méthodes expérimentales et statistiques relatives au modèle général de Holling de réponse fonctionnelle, et on décrit : (1) un plan expérimental compatible avec les prémisses du modèle; (2) une méthode d'ajustement du modèle basée sur le maximum de vraisemblance; (3) plusieurs méthodes de comparaison statistique de séries de courbes de réponse fonctionnelle; et (4) une méthode exploratoire graphique permettant d'étudier les patrons de variation existant dans un nombre plus grand d'échantillons.

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Type
Articles
Information
The Canadian Entomologist , Volume 117 , Issue 5 , May 1985, pp. 617 - 629
Copyright
Copyright © Entomological Society of Canada 1985

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