Phenotypic structure and bifurcation behavior of population models

Oster, George; Ipaktchi, A.; Rocklin, S.

doi:10.1016/0040-5809(76)90024-1

Cited by 18 publications

(3 citation statements)

References 12 publications

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“…These comments do not get around all the criticisms of optimality, especially not those in Oster and Wilson (1978), which are deep and general. They do emphasize that work on the interface of genetics and life-history evolution is crucial (e.g., Williamson 1975, Michod 1979, others coded as A3 in the References).…”

Section: Are Some Life-history Models Also Automatically Genetical Momentioning

confidence: 88%

“…There has recently been a flurry of criticism (Stearns 1976, Oster and Wilson 1978, Lewontin 1979, Levin 1980) and defense (Maynard Smith 1978, McCleery 1978 of optimality models. One major criticism is that genetic mechanisms may imply a genetic equilibrium that does not match the optimum predicted for the phenotype.…”

Section: When Might Optimality Models Work Well?mentioning

confidence: 99%

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A New View of Life-History Evolution

Stearns¹

1980

Oikos

347

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Each copy of any part of a JSTOR transmission must contain the same copyright notice that appears on the screen or printed page of such transmission. JSTOR is a not-for-profit organization founded in 1995 to build trusted digital archives for scholarship. We work with the scholarly community to preserve their work and the materials they rely upon, and to build a common research platform that promotes the discovery and use of these resources. For more information about JSTOR, please contact support@jstor.org. Blackwell Publishing and Nordic Society Oikos are collaborating with JSTOR to digitize, preserve and extend access to Oikos. lccneAo-BaTenCKHe nporpaNMa KaK rnpOIojxeHe H KpMTMKa TnpHBOwHv 3ecb apry-MeHTOB.

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Section: Are Some Life-history Models Also Automatically Genetical Momentioning

confidence: 88%

Section: When Might Optimality Models Work Well?mentioning

confidence: 99%

A New View of Life-History Evolution

Stearns¹

1980

Oikos

347

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“…Clarke (1975Clarke ( , 1976 has suggested that many protein polymorphisms may be maintained in this way. Subsequent authors have given formal explications of the way cycles and chaos arise in these nonlinear systems (for example, Oster, Ipaktchi & Rocklin, 1976;May, 1979), leading to complex and non-steady genetic systems. The essential ideas here go back to Pimentel's (1968) 'genetic feedback' and to Haldane (1949).…”

Section: Explicitly Genetic Modelsmentioning

confidence: 99%

Coevolution of hosts and parasites

1982

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The coevolution of parasites and their hosts has both general biological interest and practical implications in agricultural, veterinary and medical fields. Surprisingly, most medical, parasitological and ecological texts dismiss the subject with unsupported statements to the effect that ‘successful’ parasite species evolve to be harmless to their hosts. Recently, however, several people have explored theoretical aspects of the population genetics of host-parasite associations; these authors conclude that such associations may be responsible for much of the genetic diversity found within natural populations, from blood group polymorphisms (Haldane, 1949) to protein polymorphisms in general (Clarke, 1975, 1976) and to histocompatibility systems (Duncan, Wakeland & Klein, 1980). It has also been argued that pathogens may constitute the selective force responsible for the evolution and maintenance of sexual reproduction in animal and plant species (Jaenike, 1978; Hamilton, 1980, 1981, 1982; Bremermann, 1980).

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Fluctuations in the Size of Isolated Single‐Species Populations and Natural Selection

Frisman

Shapiro

1982

Biometrical J

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This paper discusses the basic types of dynamicel behavior of populations obtained in discrete models, such aa monotonous dynamics. stable limited cycles, and chaotic variations. 811 these modes are shown to have possibly arisen in the evolution of limited populations under the effect of density-independent selection. This effect together with that of density-dependent non-selective factore haa been termed F-selection, which is characterized by independenoe of relative fitnesaee from population density, whereas populations may be ecologically limited; in other worda, absolute fitneesee prove to be a function of population size. The characrcteriatic of P-wlection is to be not sensitive to changes in population size but to lead to fluctuetiom, that create conditions for achieving density-dependent selection.Key words: Mendelian single-species population, natural selection, population size, discrete models. fitness, genotype, FIsmB's theorem.Discrete Models of Changes in Local Population Size.The life cycles of many biological species of multi-cellular organisms have a distinctly pronounced time periodcity, m a rule coinciding with seasonal changes in the earth's climate. An overwhelming majority of such species have a clearly outlined (o!ten very short) reproductive period, during whch each local population represents a totality of discrete single-aged groups. In many cases, the number of these groups is determined solely by the size of age groups in the preceding reproductive period. It is therefore natural t o characterize the number of the aex and age groups of a given population by a set of discrete magnitudes whch acquire certain values in certain fixed moments of time, e.g. by the beginning (or end) of the usual reproductive periods. The relationship between the values of such numbers in a given and fiubsequent moment,s of time may then be described by a system of recurrent equations.Let us examine the simplest situations, which nonetheless describe real population processes. For many insect species, each inchidual population represents one age group (or developmental stage), and adjacent generations of this popu- 38'

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Phenotypic structure and bifurcation behavior of population models

Cited by 18 publications

References 12 publications

A New View of Life-History Evolution

A New View of Life-History Evolution

Coevolution of hosts and parasites

Fluctuations in the Size of Isolated Single‐Species Populations and Natural Selection

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