Statistical inference procedures for dose-response population models based on the Leslie matrix
It has been shown that maximum likelihood methods can yield inference procedures for the intricate rate of increase (r) computed from reproduction and survival rates. This work extends this concept to a parameterization of the Leslie matrix that expresses all vital rates as continuous functions of underlying dose. This parameterization yields a parsimonious model for expressing population growth as function of dose. Application of maximum likelihood methods to this model yields a statistical inference procedure for testing null hypothesis that population growth is independent of dose. For Risk Assessment, this is an important development. Historically, toxicology has focused on the response of individual organisms for measuring the stress of toxicant dose. In risk assessment, it is the fate of the population that is of concern. Statistics for this application are computed from fecundity data and survival schedules from cohort studies of organisms reared under several levels of stress. The core of the new method is based on the fact that the intrinsic rate of increase is one to one with the maximal eigenvalue of a Leslie matrix estimated from the survival and fecundity data. A joint probability model for the Leslie matrix is formulated and inference procedures are based on asymptotic likelihood ratio theory. Numerical procedures for implementing the methodology are discussed and the properties of the testing procedure are reviewed. An example illustrating the procedure using data from a 21 day life table experiment will be presented.
- OSTI ID:
- 49536
- Report Number(s):
- CONF-9410273-; TRN: IM9523%%359
- Resource Relation:
- Conference: 15. annual meeting of the Society of Environmental Toxicology and Chemistry (SETAC), Denver, CO (United States), 30 Oct - 3 Nov 1994; Other Information: PBD: 1994; Related Information: Is Part Of Society of Environmental Toxicology and Chemistry 15th annual meeting: Abstract book. Ecological risk: Science, policy, law, and perception; PB: 286 p.
- Country of Publication:
- United States
- Language:
- English
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