Skip to main content
Article thumbnail
Location of Repository

Bivariate stochastic modeling of functional response with natural mortality

By M. J. Faddy, John S. Fenlon and David J. Skirvin


A correction due to Abbott (1925) is the standard method of dealing with control mortality in insect bioassay to estimate the mortality of an insect conditional on control mortality not having occurred. In this article a bivariate stochastic process for overall mortality is developed in which natural mortality and predation are jointly modeled to take account of the competing-risks associated with prey loss. The total mortality estimate from this model is essentially identical with that from more classical modeling. However, when predation loss is estimated in the absence of control mortality the results are somewhat different, with the estimate from the bivariate model being lower than that from using Abbott’s formula in conjunction with the classical model. It is argued that overdispersion in observed mortality data corresponds to correlated outcomes (death or survival) for the prey initially present, while Abbott’s correction relies implicitly on independence

Topics: QL, QA
Publisher: Springer New York LLC
Year: 2010
OAI identifier:

Suggested articles


  1. (1925). A method for computing the effectiveness of an insecticide”, doi
  2. (1987). Acute bioassays with control mortality”, doi
  3. (1992). Analysis of quantal response data, doi
  4. (1999). Differential effects of plant species on a mite pest (Tetranychus urticae) and its predator (Phytoseiulus persimilis): implications for biological control”,
  5. (1997). Extended Poisson process modelling and analysis of count data”, doi
  6. (1989). Fitting dose-response data with non-zero background within generalized linear and generalized additive models”, doi
  7. (2006). Modelling predation in functional response”, doi
  8. (2005). Modelling the dependence between the number of trials and the success probability in binary trials”, doi
  9. (2002). Modelling the effects of plant species on biocontrol effectiveness in ornamental nursery crops”, doi
  10. (2001). Plant species modifies the functional response of Phytoseiulus persimilis (Acari: Phytoseiidae) to Tetranychus urticae (Acari: Tetranychidae): implications for biological control”, doi
  11. (1999). Stochastic modelling of the invasion process of nematodes in fly larvae”, doi
  12. (1959). The components of predation as revealed by a study of small mammal predation of the European pine sawfly”, doi
  13. (1979). The Interpretation of Quantal Responses in Biology, doi
  14. (1957). Time mortality curves and Abbott’s correction in experiments with insecticides”,

To submit an update or takedown request for this paper, please submit an Update/Correction/Removal Request.