### Species Adaptation Genetic Algorithms: a basis for a continuing SAGA

Inman Harvey

For Artificial Life applications it is useful to extend Genetic Algorithms from a finite search space with fixed-length genotypes to open-ended evolution with variable-length genotypes. A new theoretical analysis is required, as Holland's Schema Theorem only applies to fixed lengths. It will be argued, using concepts of epistasis and fitness landscapes drawn from theoretical biology, that in the long run a population must have genotypes of nearly equal length, and this length can only increase slowly. As the length increases, the population will be nearly converged, and hence evolving as a species.

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