The rapid diversification of species seen in the fossil record followed by long periods of stasis is part of the model of evolution.

punctuated equilibrium

Explanation:

According to the punctuated equilibrium model of evolution, the process of evolution involves a sudden spontaneous burst in the diversity of species (speciation).

This period is now followed by a long period in which the there is no change in the species. This period is known as the period of stasis or equilibrium.

Hence, the rapid diversification of species seen in the fossil record followed by long periods of stasis is typical of the punctuated equilibrium model of evolution.

most community's take hundreds of years to become stable

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