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DACEY_Model - ESE 502 Tony E Smith DACEYS COUNTY SEAT MODEL...

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ESE 502 Tony E. Smith DACEY’S COUNTY SEAT MODEL 1. Introduction The following note specializes the general “modified Poisson model” of Dacey (1964) to the case of county seats. His model is designed to capture the frequency distribution of “places” across counties in a state (such as Iowa), where a place is taken to be a city of sufficient size and/or prominence. The main point of his model is that county seats are by definition of sufficient prominence to be included among the places in each county. Hence if all other places are assumed to be consistent with complete spatial randomness (CSR) then the distribution of places should be more regular than random (more dispersed than random in our terminology). 2. Basic Model Recall that if places other than county seats are consistent with CSR, then the frequency of places in any county should be Poisson distributed with mean, a , where is the spatial intensity of places (expected number of places per unit of area) and a is the area of a given county. But since counties are required by law to have a county seat (as a
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