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Unformatted text preview: sum of these values must equal the observed mean number of points per cell. This condition is equivalent to equation (2) divided through by n and makes good sense because the theory should predict the same number of points in the observed distribution. (iv) Other properties of point patterns Quadrat analysis is one of a number of different approaches that geographers have taken to the analysis of point patterns. Consequently, in order to appreciate the role of quadrat analysis in geography it is necessary to have some knowledge of the alternative procedures. Here we present a brief sketch of the two major alternatives; nearest neighbour analysis and contiguity analysis. Nearest neighbour analysis focuses on the distance between each point in the pattern and its nearest neighbour (see (Fig.2(iii)), and of particular interest is the value of the observed mean nearest neighbour distance II. INDEPENDENCE IN SPACE (i) The multiplication axiom for independent events Before we can begin to construct probability models for the random frequency distribution we need to define exactly what is meant by an independent event in probability theory. Many problems in probability theory may be envisa...
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 Summer '08
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 Geography, The Land

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