In this we revise the Weismann`s idea of againg and death as adaptive traits. First, we analyse the adaptation process to changing environment of isolated populations (species) having different lifetime and show, that short lifetime may have adaptive value at a population level. Next, we use a Markov chain to model a competition between indyviduals in a finite population. We derive a condition for equilibrium in the population and explain why the long-lived indyviduals usually dominate the population, it would require an extraordinary environment for programmed death to be stable adaptive trait.
We present an improved "aggregated model" where a population is replaced by base point representing population and probe point imitating search process. Presented results shows similar dynamic behavior for proposed algorithm in comparison to model of soft selection algorithm specially for small populations.
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