Abstract

The populations of critical and subcritical branching processes in random environments die out with probability one. But the total population of several such processes in which the sequences of environmental probability generating functions are independent, but mixing or migration from each process occurs after each generation, may be equivalent to the population of a supercritical branching process in random environments, which will survive with positive probability. This paper gives conditions for such a mixing scheme to exist. A functional law of large numbers for E(1n X̄) is used.

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