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A mathematical investigation of Rao diversity coefficients among the communities according to species morphometry and species taxonomy

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  • Kenneth Barroga

Abstract

Although Rao diversity coefficient (Rao DIVC) is sensitive to the differences among species, a gap still remains in investigating how the communities are affected when the dissimilarity among the species are in terms of its morphometry and taxonomy. I studied the effect of using species taxonomic classification and species morphometrical traits in the computation of Rao DIVC in assessing diversity of ecological communities. I utlised the Mahalanobis distance for measuring the variation of species morphometry. As for species taxonomy, I employed the method by Warwick and Clarke (1995). When the calculated Rao DIVCs, double principal coordinate analysis and co-inertia analysis outputs were compared, I discovered that Rao DIVCs accounting species morphometry (Rsm) and species taxonomy (Rst) yielded different results and interpretation. Rsm clearly showed more the variation among communities but contributed less in the analysis, whereas Rst showed more clearly the clusters between the communities which make the interpretation easier.

Suggested Citation

  • Kenneth Barroga, 2018. "A mathematical investigation of Rao diversity coefficients among the communities according to species morphometry and species taxonomy," International Journal of Mathematics in Operational Research, Inderscience Enterprises Ltd, vol. 12(4), pages 542-564.
  • Handle: RePEc:ids:ijmore:v:12:y:2018:i:4:p:542-564
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