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Volume 7
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10.3390/math7030245
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Article

The Use of the Evenness of Eigenvalues of Similarity Matrices to Test for Predictivity of Ecosystem Classifications

by
Enrico Feoli
* and
Paola Ganis
Department of Life Sciences, University of Trieste, 34127 Trieste, Italy
*
Author to whom correspondence should be addressed.
Mathematics 2019, 7(3), 245; https://doi.org/10.3390/math7030245
Submission received: 6 December 2018 / Revised: 26 February 2019 / Accepted: 7 March 2019 / Published: 9 March 2019
(This article belongs to the Special Issue New Paradigms and Trends in Quantitative Ecology)
Review Reports Versions Notes

Abstract

The use of the evenness (E(λ)) of the eigenvalues of similarity matrices corresponding to different hierarchical levels of ecosystem classifications, is suggested to test correlation (or predictivity) between biological communities and environmental factors as one alternative of analysis of variance (parametric or non-parametric). The advantage over traditional methods is the fact that similarity matrices can be obtained from any kind of data (mixed and missing data) by indices such as those of Goodall and Gower. The significance of E(λ) is calculated by permutation techniques. One example of application of E(λ) is given by a data set describing plant community types (beech forests of the Italian peninsula).
Keywords: correlation; eigenanalysis; evenness; Occam’s razor correlation; eigenanalysis; evenness; Occam’s razor

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MDPI and ACS Style

Feoli, E.; Ganis, P. The Use of the Evenness of Eigenvalues of Similarity Matrices to Test for Predictivity of Ecosystem Classifications. Mathematics 2019, 7, 245. https://doi.org/10.3390/math7030245

AMA Style

Feoli E, Ganis P. The Use of the Evenness of Eigenvalues of Similarity Matrices to Test for Predictivity of Ecosystem Classifications. Mathematics. 2019; 7(3):245. https://doi.org/10.3390/math7030245

Chicago/Turabian Style

Feoli, Enrico, and Paola Ganis. 2019. "The Use of the Evenness of Eigenvalues of Similarity Matrices to Test for Predictivity of Ecosystem Classifications" Mathematics 7, no. 3: 245. https://doi.org/10.3390/math7030245

APA Style

Feoli, E., & Ganis, P. (2019). The Use of the Evenness of Eigenvalues of Similarity Matrices to Test for Predictivity of Ecosystem Classifications. Mathematics, 7(3), 245. https://doi.org/10.3390/math7030245

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