Corso, G. and Britton, N. F., 2012. Nestedness and τ-temperature in ecological networks. Ecological Complexity, 11, pp. 137-143.
The τ-temperature is a measure of disorder of bipartite networks that is based on the total Manhattan distance of the adjacency matrix. Two properties of this measure are that it does not depend on permutations of lines or columns that have the same connectivity and it is completely determined by connectivities of lines and columns. The normalisation of τ is done by an uniform random matrix whose elements were previously sorted. τ shows no bias against uniform random matrices of several occupations, ρ, sizes, L, and shapes. The scaling of the total Manhattan distance of a random matrix is D rand ∝ L 3 ρ while the same scaling for a full nested matrix is D nest ∝ L 3 ρ 3/2. We test τ for a large set of empirical matrices to verify these scalings. The index τ correlates better with the temperature of Atmar than with the NODF index of nestedness. We conclude this work by discussing differences between nestedness indices and order/disorder indices.
|Item Type ||Articles|
|Creators||Corso, G.and Britton, N. F.|
|Departments||Faculty of Science > Mathematical Sciences|
|Publisher Statement||Britton_Ecological_Complexity_2012_11_137.pdf: NOTICE: this is the author’s version of a work that was accepted for publication in Ecological Complexity. Changes resulting from the publishing process, such as peer review, editing, corrections, structural formatting, and other quality control mechanisms may not be reflected in this document. Changes may have been made to this work since it was submitted for publication. A definitive version was subsequently published in Ecological Complexity, vol 11, 2012, DOI 10.1016/j.ecocom.2012.05.003|
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