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The Growth of General Population-Size-Dependent Branching Processes Year by Year

Peter Jagers and Serik Sagitov
Journal of Applied Probability
Vol. 37, No. 1 (Mar., 2000), pp. 1-14
Stable URL: http://www.jstor.org/stable/3215655
Page Count: 14
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Since scans are not currently available to screen readers, please contact JSTOR User Support for access. We'll provide a PDF copy for your screen reader.
The Growth of General Population-Size-Dependent Branching Processes Year by Year
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Abstract

We study discrete-time population models where the nearest future of an individual may depend on the individual's life-stage (age and reproduction history) and the current population size. A criterion is given for whether there is a positive probability that the population survives forever. We identify the cases when population size grows exponentially and linearly and show that in the latter population size scaled by time is asymptotically Γ-distributed.

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