Quantifying wildlife diversity using persistent homology
Gera, Parth
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Permalink
https://hdl.handle.net/2142/117591
Description
Title
Quantifying wildlife diversity using persistent homology
Author(s)
Gera, Parth
Issue Date
2022-12-08
Director of Research (if dissertation) or Advisor (if thesis)
Sowers, Richard B
Department of Study
Industrial&Enterprise Sys Eng
Discipline
Industrial Engineering
Degree Granting Institution
University of Illinois at Urbana-Champaign
Degree Name
M.S.
Degree Level
Thesis
Keyword(s)
biodiversity
persistent homology
quantifying
mathematical tool
Abstract
Biodiversity refers to the variety of life on planet earth across all levels such as genes to ecosystems. We are at a risk of severe habitat loss and extinction in hotspots of biodiversity. This is due to excess human consumption added with the climate change forces. This underlines the need of a mathematical tool to quantify biodiversity in order to analyse the changes in an environment and act accordingly. We present a novel method of a framework based on 0-d persistent homology to quantify biodiversity of a city. This tool computes entropy of a region based on the diversity of wildlife found. The area of the region is computed using the Monte Carlo Method. We quantify diversity through entropy density and extent this tool to fifteen cities in the United States. The barcodes for these are created for a sample of the data and compared to generate actionable insights.
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