Quadrat Analysis_RW_Thomas

Similarly the probabilities themselves will maximise

Info iconThis preview shows page 1. Sign up to view the full content.

View Full Document Right Arrow Icon
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: is given in Thomas and Reeve (1976). Examples of all these definitions and properties are given in Figure 6. (ii) The entropy maximising distribution We can now derive a probability distribution for predicting the most likely frequency distribution (meso-state). We wish to find that particular meso-state description that can create the greatest number of micro-state descriptions, because this description will be the most likely in the absence of controls on the pattern. Mathematically, this requires us to obtain the meso-state description which maximises the value of equation (62) subject to the conditions (1) and (2). Such a meso-state will be the most likely because it can arise in the greatest number of ways. Moreover, the solution to this problem will be an entropy-maximising solution because ln(W) is one of the definitions of entropy or uncertainty. It is useful to re-state this problem in terms of the probability distribution which, when multiplied through by n, will predict the most lik...
View Full Document

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.

Ask a homework question - tutors are online