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Patterns In NatureThe Analysis of Species Co-Occurrences$
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James G. Sanderson and Stuart L. Pimm

Print publication date: 2015

Print ISBN-13: 9780226292724

Published to Chicago Scholarship Online: May 2016

DOI: 10.7208/chicago/9780226292861.001.0001

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How to Incorporate Constraints into Incidence Matrices

How to Incorporate Constraints into Incidence Matrices

(p.61) Chapter Four How to Incorporate Constraints into Incidence Matrices
Patterns In Nature

James G. Sanderson

Stuart L. Pimm

University of Chicago Press

Chapter 4 considers constraints that must be imposed on the random, or null, matrices so that each random matrix is representative of the observed, or actual, matrix. This means that the null matrix must preserve certain observed properties found in the actual matrix. First, the number of times a species is observed to occur (the so-called row constraint) is preserved in each and every null matrix. Second, the number of species found on each island or place (the column constraint) is also preserved. Also discussed is the incidence constraint.

Keywords:   constraint, column constraint, incidence constraint, observed matrix, random matrix, representative, row constraint

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