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This work reports on two related investigations of stochastic simulationswhich are widely used to study biodiversity and other related issues. We firstdeal with the behavior of the Hamming distance under the increase of the numberof species and the size of the lattice, and then investigate how the mobilityof the species contributes to jeopardize biodiversity. The investigations arebased on the standard rules of reproduction, mobility and predation orcompetition, which are described by specific rules, guided by generalization ofthe rock-paper-scissors game, valid in the case of three species. The resultson the Hamming distance indicate that it engenders universal behavior,independently of the number of species and the size of the square lattice. Theresults on the mobility confirm the prediction that it may destroy diversity,if it is increased to higher and higher values.

Hamming distance and mobility behavior in generalized rock-paper-scissors models