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CPS2007 Jai-Hua Yen et al.





                          Richness estimation with species identity error
                                    Jai-Hua Yen, Chun-Huo Chiu
                 Division of Biometry, Department of Agronomy, National Taiwan University, Taiwan

            Abstract
            Richness estimation of an interesting area is always a challenge statistical work
            due  to  small  sample  size  or  species  identity  error.  In  the  literatures,  most
            richness estimators were only proposed to tackle the underestimation of the
            size-limited  sample.  However,  species  identity  error  almost  occurs  in  each
            species survey and seriously reduces the accuracy of observed, singleton, and
            doubleton richness in turns to influence the behavior of richness estimator.
            Therefore,  to  estimate  the  true  richness,  the  biased  collected  data  due  to
            species  identity  error  should  be  modified  before  processing  the  richness
            estimation work. In the manuscript, we propose a new approach to correct the
            bias of richness estimation due to species identity error. First, a species list
            inventory from a subplot obtained by the investigator was used to estimate
            the  species  identity  error  rate.  Then,  we  can  correct  the  biased  observed,
            singleton,  and  doubleton  richness  of  the  raw  sampling  data  from  the
            interesting area. Finally, the rich-ness estimators proposed in the literatures
            could  be  supplied  to  get  the  more  correct  estimates  based  on  adjusted
            observed  data.  To  investigate  the  behavior  of  the  proposed  method,  we
            performed simulations by generating data sets from various species models
            with different species identity error rates. For the purpose of illustration, the
            real  data  was  supplied  to  demonstrate  our  proposed  approach.  A
            presence/absence  weeds  species  was  surveyed  in  the  organic  farmland
            located at Soft Bridge County in the North of Taiwan.

            Keywords
            Biodiversity; Singleton; Doubleton; Sampling error

            1.  Introduction
                Long-term biodiversity monitoring is the basis for ecological research and
            promotion  of  organic  agriculture.  In  recent  years,  more  and  more  non-
            professional citizen scientists have participated in the projects of monitoring
            diversity, so the possibility of species identity errors may increase dramatically
            in the collected data. Therefore, correcting the impact of species identification
            errors becomes an important statistical issue.
                Species richness is the most intuitive and widely used as biodiversity index
            due to its ecological intuitive concept and simplest form. However, due to the


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