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The relation between the number of parasites/host and host age: population dynamic causes and maximum likelihood estimation

Published online by Cambridge University Press:  06 April 2009

S. W. Pacala
Affiliation:
Department of Ecology and Evolutionary Biology, The University of Connecticut, U-42 Storrs, Connecticut 06268
A. P. Dobson
Affiliation:
Department of Biology, Princeton University, Princeton, New Jersey 08544

Summary

We examined dynamical factors that shape the distribution of the number of parasites/host in constant or temporally varying environments, and with or without host-age dependent variation in host susceptibility and parasite mortality. We predict properties of the parasite distribution in the absence of density-dependent factors such as densitydependent mortality or recruitment and parasite-induced host mortality. These properties provide a criterion for the detection of density dependence in temporally variable systems with host-age dependent interactions. We have then introduced methods to estimate and statistically evaluate the effects of host age or size on the distribution of parasites/host. The methods are based on a maximum likelihood protocol for linear and non-linear regression when data are negatively binomially distributed. We have illustrated the use of the theoretical results and statistical methods by re-analysing the data of Halvorsen & Andersen (1984) on cestode infections in Norwegian arctic charr and by analysing new data on nematode infections in Caribbean Anolis lizards.

Type
Research Article
Copyright
Copyright © Cambridge University Press 1988

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References

REFERENCES

Adjei, E. L., Barnes, A. & Lester, R. J. G. (1986). A method for estimating possible parasiterelated host mortality illustrated using data from Calliterarhynchus gracilis (Cestoda: Trypanorhyncha) in lizard fish (Saurida) spp. Parasitology 92, 227–43.Google Scholar
Anderson, R. M. (1978). The regulation of host population growth by parasitic species. Parasitology 76, 119–57.CrossRefGoogle ScholarPubMed
Anderson, R. M. (1982). Epidemiology of infectious disease agents. In Modern Parasitology (ed. Cox, F. E. G.), pp. 204–51. Oxford: Blackwell Scientific Publishers.Google Scholar
Anderson, R. M. & Gordon, D. M. (1982). Processes influencing the distribution of parasite numbers within host populations with special emphasis on parasite-induced host mortalities. Parasitology 85, 373–98.CrossRefGoogle ScholarPubMed
Anderson, R. M. & May, R. M. (1978). Regulation and stability of host-parasite population interactions. I. Regulatory processes. Journal of Animal Ecology 47, 219–48.Google Scholar
Anderson, R. M. & May, R. M. (1979). Population biology of infectious diseases. I. Nature, London 280, 361–7.Google Scholar
Anderson, R. M. & May, R. M. (1985). Helminth infections of humans: mathematical models, population dynamics, and control. In Advances in Parasitology, vol. 24, pp. 1101. London: Academic Press.Google Scholar
Crofton, H. D. (1971 a). A quantitative approach to parasitism. Parasitology 62, 179–179.Google Scholar
Crofton, H. D. (1971 b). A model of host-parasite relationships. Parasitology 63, 343–343.CrossRefGoogle Scholar
Dietz, K. (1982). Overall population patterns in the transmission cycle of infectious disease agents. In Population Biology of Infectious Diseases (ed. Anderson, R. M. and May, R. M.), pp. 87102. Berlin: Springer-Verlag.Google Scholar
Dobson, A. P. (1985). The population dynamics of competition between parasites. Parasitology 91, 317–47.Google Scholar
Gordon, D. M. & Rau, M. E. (1982). Possible evidence for mortality induced by the parasite Apatemon gracilis in a population of brook sticklebacks Culaea inconstans. Parasitology 84, 41–41.CrossRefGoogle Scholar
Halvorsen, O. & Andersen, K. (1984). The ecological interaction between arctic charr, Salvetinus alpinus (L.), and the plerocercoid stage of Diphyllobothrium ditremum. Journal of Fish Biology 25, 305–305.CrossRefGoogle Scholar
Kennedy, C. R. (1984). The use of frequency distributions in an attempt to detect host mortality induced by infections of diplostomatid metacercariae. Parasitology 89, 209–20.Google Scholar
Lester, R. J. G. (1984). A review of methods for estimating mortality due to parasites in wild fish populations. Helgolander Meeresunters 37, 5364.Google Scholar
May, R. M. (1977). Dynamical aspects of host-parasite associations: Crofton's model revisited. Parasitology 75, 259–76.CrossRefGoogle Scholar
May, R. M. & Anderson, R. M. (1978). Regulation and stability of host-parasite population interactions. II. Destabilizing processes. Journal of Animal Ecology 47, 249–68.Google Scholar
May, R. M. & Anderson, R. M. (1979). Population biology of infectious diseases. II. Nature, London 280, 455–01.Google Scholar
Pacala, S. W. & Roughgarden, J. D. (1985). Population experiments with the Anolis lizards of St Maarten and St Eustatius. Ecology 66, 129–51.CrossRefGoogle Scholar
Pielou, E. C. (1977). Mathematical Ecology. New York: John Wiley.Google Scholar