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Sökning: LAR1:gu > Jagers Peter 1941

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11.
  • Jagers, Peter, 1941, et al. (författare)
  • Amendment to: populations in environments with a soft carrying capacity are eventually extinct
  • 2021
  • Ingår i: Journal of Mathematical Biology. - : Springer Science and Business Media LLC. - 0303-6812 .- 1432-1416. ; 83:1
  • Tidskriftsartikel (refereegranskat)abstract
    • This sharpens the result in the paperJagers and Zuyev (J Math Biol 81:845-851, 2020): consider a population changing at discrete (but arbitrary and possibly random) time points, the conditional expected change, given the complete past population history being negative, whenever population size exceeds a carrying capacity. Further assume that there is an epsilon > 0 such that the conditional probability of a population decrease at the next step, given the past, always exceeds epsilon if the population is not extinct but smaller than the carrying capacity. Then the population must die out.
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16.
  • Jagers, Peter, 1941, et al. (författare)
  • Branching processes with deteriorating random environments
  • 2002
  • Ingår i: Journal of Applied Probability. - 0021-9002 .- 1475-6072. ; 39, s. 395-401
  • Tidskriftsartikel (refereegranskat)abstract
    • We introduce Galton-Watson style branching processes in random environments which are deteriorating rather than stationary or independent. Some primary results on process growth and extinction probability are shown. Two simple examples are given.
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19.
  • Jagers, Peter, 1941, et al. (författare)
  • Convergence to the coalescent in populations of substantially varying size.
  • 2004
  • Ingår i: J. Appl. Probab.. - 0021-9002. ; 41:2, s. 368-378
  • Tidskriftsartikel (refereegranskat)abstract
    • Kingman's classical coalescent uncovers the basic pattern of genealogical trees of random samples of individuals in large but time-constant populations. Time is viewed as discrete and identified with non-overlapping generations. Reproduction can be very generally taken as exchangeable (meaning that the labelling of individuals in each generation carries no significance). Recent generalisations have dealt with population sizes exhibiting given deterministic or (minor) random fluctuations. We consider population sizes which constitute a stationary Markov chain, explicitly allowing large fluctuations in short times. Convergence of the genealogical tree, as population size tends to infinity, towards the (time-scaled) coalescent is simply proved under minimal conditions. As a result, a formula for effective population size obtains, generalising the well-knownharmonic mean expression for effective size.
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