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How to Incorporate Constraints into Incidence Matrices

How to Incorporate Constraints into Incidence Matrices

Chapter:
(p.61) Chapter Four How to Incorporate Constraints into Incidence Matrices
Source:
Patterns In Nature
Author(s):
James G. SandersonStuart L. Pimm
Publisher:
University of Chicago Press
DOI:10.7208/chicago/9780226292861.003.0004

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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