Some distributional models for fossil animals

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Abstract
Models for the areal distribution of marine animals may be formulated in such a way that their validity can be tested statistically. Five such models are described here: in each case the distributions of the individual taxa are made functions of depth of water, oceanicity, and substrate type.The simplest model proposes that benthic species are substrate-dependent: it can be verified by a series of χ2 tests. Benthic species can also be seriated along an environmental gradient: this second model can be tested by using a Monte Carlo simulation procedure. The third model proposes that planktic species are to some degree stratified in the water column, and hence that their remains are distributed additively in the underlying sediments: tests on modern and sub-fossil data sets indicate that realistic versions of this model are probably valueless for most geological work. The final models are extensions of the additive model: they are used here to demonstrate the importance of selecting an appropriate model and, in particular, of knowing the mode of life of each species before the model is selected.