The Estimation of Generalized Diversity Index for Geographic Information Data

Abstract

This is an interesting issue to explore the biological diversity of ecosphere Researcher often use some indicators as a reference until now First the commonly used indices of biological diversity are Simpson's diversity index and Shannon's diversity index However in the past the indices of the diversity ignore the position of observation or geographically information for example the distance and surroundings of observation when we considered the diversity indices of several species Therefore we integrate Simpson’s diversity index and Shannon’s diversity index to be a generalized diversity index (GDI) with proportion functions of geographically information Then we conduct a statistical simulation by some cases and use a real data for generalized diversity index to compare these diversity indices without considering geographic information data The simulation results show when sample size increases the estimation of parameters and GDI are close to true value Their average standard error and root mean square error become small The advantage of proposed GDI and function of proportions can reflect about geographical location of species through the distance between species and target value

Date of Award	2016 Aug 29
Original language	English
Supervisor	Mi-Chia Ma (Supervisor)