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Bivariate stochastic modeling of functional response with natural mortality
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Faddy, M. J., Fenlon, John S. and Skirvin, David J. (2010) Bivariate stochastic modeling of functional response with natural mortality. Journal of Agricultural, Biological, and Environmental Statistics, Vol.15 (No.1). pp. 38-48. doi:10.1007/s13253-009-0007-9 ISSN 1085-7117.
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Official URL: http://dx.doi.org/10.1007/s13253-009-0007-9
Abstract
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.
Item Type: | Journal Article | ||||
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Subjects: | Q Science > QL Zoology Q Science > QA Mathematics |
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Divisions: | Faculty of Science, Engineering and Medicine > Science > Life Sciences (2010- ) > Warwick HRI (2004-2010) | ||||
Library of Congress Subject Headings (LCSH): | Abbott, W. S. (Walter Sidney) 1880-, Predatory insects -- Research, Competing risks -- Research, Mortality -- Statistics, Stochastic models | ||||
Journal or Publication Title: | Journal of Agricultural, Biological, and Environmental Statistics | ||||
Publisher: | Springer New York LLC | ||||
ISSN: | 1085-7117 | ||||
Official Date: | March 2010 | ||||
Dates: |
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Volume: | Vol.15 | ||||
Number: | No.1 | ||||
Page Range: | pp. 38-48 | ||||
DOI: | 10.1007/s13253-009-0007-9 | ||||
Status: | Peer Reviewed | ||||
Access rights to Published version: | Restricted or Subscription Access |
Data sourced from Thomson Reuters' Web of Knowledge
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