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

Kenneth Barroga
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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.
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基于物种形态学和物种分类学的群落间Rao多样性系数数学研究
Rao多样性系数(Rao DIVC)对物种间的差异较为敏感,但在物种间形态差异和分类差异对群落的影响研究方面仍存在空白。研究了利用物种分类学分类和物种形态计量性状计算Rao DIVC在评价生态群落多样性中的作用。我利用马氏距离来测量物种形态的变化。在物种分类方面,我采用了Warwick和Clarke(1995)的方法。将计算的Rao divc、双主坐标分析和共惯性分析结果进行比较,发现考虑物种形态计量学(Rsm)和物种分类学(Rst)的Rao divc得到不同的结果和解释。Rsm能更清楚地反映群落间的差异,但对分析的贡献较小;而Rst能更清楚地反映群落间的聚类,使解释更容易。
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