Ecological Release and Patch Geometry in Density-Area Relationships - Wolfram Guest Speaker Series

Explore the research behind ecological release and patch geometry's impact on density-area relationships in this 53-minute webinar from the Wolfram Guest Speaker Series. Delve into Jerome Goddard's study, examining habitat fragmentation, single and two-species competition models, and nondimensionalization. Discover equilibrium solutions for logistic growth and competition scenarios, including weak and strong competition. Investigate the role of non-convex geometry and connect findings to real-world data on red crossbills and anoles. Gain insights into biological conclusions drawn from this comprehensive ecological research.

Intro
Research Team
Density-Area Relationship (DAR)
Habitat Fragmentation - Motivation
Single Species Model
Two Species Competition Model
Nondimensionalization
Computing DAR
Equilibrium Solutions
Results for Logistic Growth
Logistic: Non-Convex Geometry
Results for Competition
Results for Weak Competition
Results for Strong Competition
Non-Convex Geometry's Role
Connection to Data: Red Crossbills
Connection to Data: Anoles
Biological Conclusions