make.adjoint: Compute the Adjoint of the Negative Community Matrix
Description
Validates a community matrix and computes the adjoint matrix of it's negative.
Usage
make.adjoint(CM, status=FALSE)
Arguments
CM
A valid community matrix.
status
Switches on an element-by-element progress indicator when set to TRUE. Set to FALSE by default.
Value
The adjoint matrix of a negative community matrix
Details
The supplied matrix is validated as a community matrix, and the adjoint matrix of the community matrix's negative is computed. The value of a given element indicates the sum of feedback at all levels, under the assumption that, in the absence of relative specification of community matrix linkages, each level of feedback ought to account for the same proportion of total feedback contributing to the effect on j of a press perturbation on i. Values of a given element may be positive, zero or negative integer values, but of a magnitude no larger than the corresponding value in the absolute feedback matrix T.
NOTE: weighted feedback, adjoint and absolute feeback matrices are transposed relative to the community effect matrix.
References
Dambacher, J. M., et al. (2003) Qualitative stability and ambiguity in model ecosystems. The American Naturalist, 161(6),876--888
Dambacher, J. M. and Li, H. W. and Rossignol, P. A. (2002) Relevance of community structure in assessing indeterminacy of ecological predictions. Ecology, 83(5),1372--1385