Abstract
A number of (insect) parasitoids have been found to avoid superparasitism, i.e., these parasitoids distribute their eggs more evenly over the available hosts than might be expected from chance only. By doing so each parasitoid individual ensures a greater probability of survival for its offspring as a result of a reduced within-host-competition.
Recently a number of mathematical models have been developed, describing the distribution of the parasitoid eggs in the hosts. This paper gives a survey of these models, placing them within one and the same mathematical framework. An essential conceptual distinction, neglected up to now, emerges: parasitoids can either react to the number of previous visits to a particular host, or they can react to the number of eggs already present in that host.
For each model the probability-generating function, the mean, the variance, and the probability distribution of the number of eggs are given, as well as a discussion of estimating and testing procedures. A few possibilities for generalizations of these models are discussed too.
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Literature
Abramowitz, M. & I. Stegun (1965). Handbook of mathematical functions. - New York, Dover Publ., 1046 pp.
Bakker, K., S.N. Bagchee, W.R. van Zwet & E. Meelis (1967). Host discrimination in Pseudeucoila bochei (Hymenoptera Cynipidae). - Ent. Exp. & Appl. 10, p. 295–311.
Bakker, K., H.J.P. Eysackers, J.C. van Lenteren & E. Meelis (1972). Some models describing the distribution of eggs of the parasite Pseudeucoila bochei (Hym. Cynip) over its hosts, larvae of Drosophda melanogaster - Oecologia 10, p. 29–57.
Chernoff, H. & E. Lehmann (1954). The use of maximum likelihood estimates in tests for goodness of fit. - Ann. Math. Statist. 25, p. 146–147.
Feller, W. (1966). An introduction to probability theory and its applications, Vol. II. - New York, John Wiley, 626 pp.
Feller, W. (1968). An introduction to probability theory and its applications, Vol. I, third ed. - New York, John Wiley, 509 pp.
Griffiths, D. (1977a). Models for avoidance of superparasitism. - J. Anim. Ecol. 46, p. 59–62.
Griffiths, D. (1977b). Avoidance-modified generalised distributions and their application to studies of superparasitism. - Biometrics 33, p. 103–112.
Lenteren, J.C. van (1976). The development of host discrimination and the prevention of superparasitism in the parasite Pseudeucoila bochei Weld (Hym. Cynipidae). - Thesis, Leiden University, 83 pp.
Rao, C.R. (1965). Linear statistical inference and its applications. - New York, John Wiley, 522 pp.
Rogers, D. (1975). A model for avoidance of superparasitism by solitary insect parasitoids. - J. Anim. Ecol. 44, p. 623–638.
Wilks, S.S. (1962). Mathematical statistics. - New York, John Wiley, 644 pp.
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Meelis, E. Egg distribution of insect parasitoids: a survey of models. Acta Biotheor 31, 109–126 (1982). https://doi.org/10.1007/BF00046493
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DOI: https://doi.org/10.1007/BF00046493