Quadrat Analysis_RW_Thomas

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Unformatted text preview: n the quadrat census (Thomas and Reeve, 1976). The method is based on the assumptions of a probability distribution known as Bose-Einstein statistics, which provides an alternative definition of equal likelihood, or randomness to those embodied in the binomial and Poisson distributions. It will help our exposition if we first redefine some of the terminology of quadrat analysis. Remembering that a point pattern consists of an arrangement of r points among n cells, we define n and r as macro-state descriptions of the point pattern. A meso-state description of the pattern is any frequency array whose individual elements (n m ) satisfy the macro-state description such that (1) (2) Clearly there will be a number of meso-states which satisfy these conditions, and two of the meso-states associated with n = 9 and r = 5 are shown in Figure 6. Lastly we can define a micro-state description as any arrangement of the r points among the n cells. Obviously there will be a large number of micro-states associated with any macro-state description, and a smaller number associated wit...
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This note was uploaded on 02/15/2012 for the course GEO 6938 taught by Professor Staff during the Summer '08 term at University of Florida.

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