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  • 1
    Electronic Resource
    Electronic Resource
    Springer
    Bulletin of mathematical biology 40 (1978), S. 541-545 
    ISSN: 1522-9602
    Source: Springer Online Journal Archives 1860-2000
    Topics: Biology , Mathematics
    Notes: Abstract One of Bobisud's (1976) models for the evolution, of cannibalism is discussed. His analysis is criticised for not being based on the principle of individual selection. Assuming the operation of that principle, we show by simulating his model that cannibals may establish themselves in a noncannibal population. This will happen both in cases where Bobisud concluded cannibalism to be optimal and in cases where he concluded cannibalism not to be optimal.
    Type of Medium: Electronic Resource
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  • 2
    Electronic Resource
    Electronic Resource
    Springer
    Oecologia 65 (1985), S. 468-477 
    ISSN: 1432-1939
    Source: Springer Online Journal Archives 1860-2000
    Topics: Biology
    Notes: Summary The hypotheses suggested by Chitty (1960) and by Charnov and Finerty (1980) in order to explain the occurrence of the microtine density cycle are investigated from a theoretical point of view. The former hypothesis assumes that the polymorphic behavioural patterns being observed in natural populations are genetically determined whereas the latter assumes these polymorphic behavioural patterns to be environmentally determined. For both theories we assume a patchy environment with dispersal between patches. We find, on the basis of a series of mathematical models comparing the two hypotheses, that Chitty's hypothesis does not seem to generate cycles whereas the Charnov-Finerty hypothesis may generate persistent density cycles: this is particularly so if dispersing individuals have the capacity to choose which patch to settle in and if the carrying capacity of each patch is high.
    Type of Medium: Electronic Resource
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  • 3
    Electronic Resource
    Electronic Resource
    Springer
    Oecologia 67 (1985), S. 566-571 
    ISSN: 1432-1939
    Source: Springer Online Journal Archives 1860-2000
    Topics: Biology
    Notes: Summary Cannibalism in whitefish (Coregonus lavaretus) is studied on the basis of an evolutionary model. The model predicts that individuals may be cannibalistic if they gain sufficiently in terms of fitness relative to the reduction in survival caused by this behaviour. If cannibalistic forms mainly increase survival it is predicted that cannibalism is particularly likely to be an evolutionarily optimal strategy if only a few age classes are being cannibalized and if, simultaneously, many age classes are cannibalistic. The same pattern, although less apparent, emerges on the basis of a model assuming that cannibalistic forms mainly increase fecundity. The whitefish in River Sokna spawn during late October to late November. Males dominate the spawning run numerically. Growth rate in mature stages is low, 1.0 cm·y-1 for males and 1.3 cm·y-1 for females. Yearly survival rate in mature stages is 0.574, and survival from egg to mature is 0.000078%. Larger whitefish on the average lay more and larger eggs than do smaller. Females were more cannibalistic than males; in total cannibalism contributed to an egg mortality of at least 8.8%. This is consistent with the derived theoretical predictions. Our theoretical and empirical analyses on whitefish are supported by the observed lack of sexual differences in the cannibalistic behaviour of brown trout (Salmo trutta) and Arctic char (Salvelinus alpinus).
    Type of Medium: Electronic Resource
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  • 4
    Electronic Resource
    Electronic Resource
    Springer
    Oecologia 32 (1978), S. 37-55 
    ISSN: 1432-1939
    Source: Springer Online Journal Archives 1860-2000
    Topics: Biology
    Notes: Summary A graphic model based on cost and gain functions is developed for predicting the relative magnitude of the Malthusian parameter, m, for different phenotypes. The analysis is mainly restricted to grazing small rodents. The cost function is derived by depicting the probability of death due to predation, parasitism etc. as a function of time spent outside the nest. The gain function is derived by comparing the energy obtained by digestion, with energy used (or needed) for maintenance metabolism, both when outside and inside the nest. The model is applied for predicting the relative magnitude of the Malthusian parameter of small versus large phenotypes of grazing rodents. Of these, the smaller phenotypes are concluded to have the larger Malthusian parameter. This may not hold true for hunters (granivores and predators). These conclusions are used for reinterpreting the often observed geographical size trend in warm-blooded vertebrates (Bergmann's rule). The model is further applied to the determination of the relative magnitude of the Malthusian parameter for aggresive and docile strategies hypothesized in Chitty's theory for fluctuating populations. Of these, the aggressive strategy is concluded to have the lowest Malthusian parameter. Although not verifying Chitty's theory, these results support the earlier hypothesis that the aggressive strategy may under certain situations have lower survival. Based on the present model, nothing can be said about whether or not a polymorphic population as hypothesized by Chitty will exhibit oscillations.
    Type of Medium: Electronic Resource
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  • 5
    Electronic Resource
    Electronic Resource
    Springer
    Oecologia 33 (1978), S. 149-172 
    ISSN: 1432-1939
    Source: Springer Online Journal Archives 1860-2000
    Topics: Biology
    Notes: Summary A graphic model for individual selection determined by the logarithmic growth rates, dN i /N i ·dt, is developed for studying optimal demographic strategies at different phases of microtine cycles. In a density-independent situation (no crowding) selection leads to maximization of total life-time reproductive output (or equivalently, the Malthusian parameter, m) at the expense of competitive (contest type) abilities. In a density-dependent situation (crowding), selection leads to maximization of contest type competitive abilities at the expense of reproductive output. These two modes of selective pressure are called r- and α-selection. r-selection is presumed to occur during the increase phase of a cycle. As the habitat becomes crowded, α-selection takes over and is assumed to be extreme at high densities. The characteristics of r- and α-strategists are found to be similar to those of the docile and aggressive forms presumed in Chitty's theory for fluctuating populations. Literature supports the attributes predicted by the theory. I argue that sensitivity to density-independent factors is higher in the α-strategy. On the basis of a graphic model, I show that the α-strategists' high sensitivity to extrinsic factors will account for the crash in microtine cycles. On the basis of these theoretical considerations, Chitty's theory for fluctuating populations is interpreted to imply that interactions between intrinsic and extrinsic (random) factors will result in cycles. A graphic model for this interpretation of Chitty's theory is discussed. The heterogeneity of the habitat is an important aspect. According to theory, dispersal of pregnant females is explained as an adaptation leading to increased current reproductive output. This behaviour is presumed to dominate numerically during the increase phase of a cycle, a prediction supported in literature.
    Type of Medium: Electronic Resource
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  • 6
    Electronic Resource
    Electronic Resource
    Springer
    Biology and philosophy 3 (1988), S. 475-483 
    ISSN: 1572-8404
    Source: Springer Online Journal Archives 1860-2000
    Topics: Biology , Philosophy
    Type of Medium: Electronic Resource
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  • 7
    Electronic Resource
    Electronic Resource
    Springer
    Biology and philosophy 3 (1988), S. 497-499 
    ISSN: 1572-8404
    Source: Springer Online Journal Archives 1860-2000
    Topics: Biology , Philosophy
    Type of Medium: Electronic Resource
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