2026-09-22T19:24:34Z https://www.ideals.illinois.edu/oai-pmh

oai:www.ideals.illinois.edu:2142/117591 2023-07-11 col_2142_5131 col_2142_16359 com_2142_5130 com_2142_16358 com_2142_234

Sowers, Richard B 2022-12 application/pdf en text Submission published under a 24 month embargo labeled 'Closed Access', the embargo will last until 2024-12-01 The student, Parth Gera, accepted the attached license on 2022-12-02 at 02:06. The student, Parth Gera, submitted this Thesis for approval on 2022-12-02 at 02:21. This Thesis was approved for publication on 2022-12-08 at 13:38. DSpace SAF Submission Ingestion Package generated from Vireo submission #18715 on 2023-04-12 at 11:36:35 Quantifying wildlife diversity using persistent homology Gera, Parth 2022-12-08 Biodiversity Persistent Homology Quantifying Mathematical Tool 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. Thesis eng https://hdl.handle.net/2142/117591 Copyright 2022 Parth Gera M.S. Thesis Industrial Engineering University of Illinois at Urbana-Champaign Industrial&Enterprise Sys Eng