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Summary

Plot of Galton-Watson survival rates for Poisson processes with Poisson constants 0.9, 1.0, 1.05, 1.1; illustrating the zero limiting survival probability if the Poisson rate <= 1, and the perhaps surprisingly low survival probabilities even if the population as a whole is increasing exponentially with a Poisson rate > 1.

Created in the R statistics environment, exported as PNG.

Licensing

I, the copyright holder of this work, release this work into the public domain. This applies worldwide. In some countries this may not be legally possible; if so: I grant anyone the right to use this work for any purpose, without any conditions, unless such conditions are required by law.