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Unformatted text preview: the study area is divided into a discrete number of cells, while the alternative 'continuous space' derivation is suitable for quadrat sampling. However, in practical applications of these models the differences between the two predictions are usually too small to influence the interpretation of results. 13 (21) (22) (from 14) The right hand side of this expression can be rearranged to form Because we are letting r tend to infinity all the terms in this expression, with the exception of the first two, tend to values of 1. This gives (24) 12 III. GOODNESSOFFIT TESTS As the name suggests, goodnessoffit tests are statistical procedures for deciding whether a model prediction gives a close enough representation of an observed problem for the assumptions of the model to be accepted as giving an adequate explanation for the processes controlling the problem. We have already mentioned the existence of statistical procedures for testing observed nearest neighbour distances for randomness, and in this section we will be concerned with the more commonly used goodnessoffit procedures in quadrat analysis. The example used is the appropriateness of the Poisson model. However, with...
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 Summer '08
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 Geography, The Land

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