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CPS1255 Tsung-Jen Shen et al.



                                 Predicting the number of newly
                                        found rare species
                                   Tsung-Jen Shen ,Youhua Chen  2
                                                  1
                 1 Institute of Statistics & Department of Applied Mathematics, National Chung Hsing
                                           University, Taiwan
                2 CAS Key Laboratory of Mountain Ecological Restoration and Bioresource Utilization &
               Ecological Restoration and Biodiversity Conservation Key Laboratory of Sichuan Province,
                   Chengdu Institute of Biology, Chinese Academy of Sciences, Chengdu, China

            Abstract
            In natural ecological communities, most species are rare and thus susceptible
            to extinction. Consequently, the prediction and identification of rare species
            are of enormous value for  conservation purposes. How many newly found
            species will be rare in the next field survey? From a Bayesian viewpoint, by
            using observed species abundance information in an ecological sample, we
            developed  an  accurate  estimator  for  estimating  the  number  of  new  rare
            species (e.g., singletons, doubletons, and tripletons) that will be found in an
            additional unknown sample. A semi-numerical test showed that the proposed
            Bayesian-weight  estimator  accurately  predicted  the  number  of  rare  new
            species  with  low  relative  bias  and  relative  root  mean  squared  error  and
            accordingly, high accuracy.

            Keywords
            species rarity; biodiversity survey; Bayesian statistics; sampling theory; diversity
            estimation

            1.  Introduction
                Species abundance distribution, or rank-abundance distribution, is one of
            the most important community patterns with wide applications in ecology
            (Fisher  et  al.  1943;  Preston  1948;  Chen  &  Shen  2017).  One  of  its  key
            applications  is  to  predict  species  richness  and  diversity  in  ecological
            communities,  particularly  when  additional  ecological  surveys  are  needed
            (Shen et al. 2003). However, almost all previous studies have utilized sample
            relative abundance derived directly from sampled ecological communities to
            generate rank-abundance distribution curves (Magurran 2004). This practice
            tends to overestimate the true relative abundance of species (Chao et al. 2015),
            with the overestimation being magnified for rare species or when the sample
            size of the studied community is small.
                Because rare species are highly vulnerable and prone to extinction when
            exposed to climate change and habitat loss, the identification and protection
            of rare species is always a top research priority in conservation biology and

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