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HierarchyPerspectives for Ecological Complexity$
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T. F. H. Allen and Thomas B. Starr

Print publication date: 2017

Print ISBN-13: 9780226489544

Published to Chicago Scholarship Online: September 2018

DOI: 10.7208/chicago/9780226489711.001.0001

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PRINTED FROM CHICAGO SCHOLARSHIP ONLINE (www.chicago.universitypressscholarship.com). (c) Copyright University of Chicago Press, 2020. All Rights Reserved. An individual user may print out a PDF of a single chapter of a monograph in CHSO for personal use.date: 17 February 2020

Hierarchy as a Context for Modeling and Simulation

Hierarchy as a Context for Modeling and Simulation

(p.240) Chapter Ten Hierarchy as a Context for Modeling and Simulation

T.F.H. Allen

Thomas B. Starr

University of Chicago Press

In contrast to multivariate statistics stands deterministic analysis by manipulating equations. This can be applied up hierarchies to look at resilience of the system. Iteration of equations led to chaos theory as one aspect of complexity. Iterative Monte Carlo approaches offer answers to equations that otherwise cannot be solved. The method recalculates through incidental changes in variables and takes the average of iterations. A holistic approach uses phase diagrams to show the structural stability of equations describing population behavior. Patterns of changing stability lead to discussion of landscapes that show various patterns of resilience. The chapter works its way up from predation, through various patterns of instability in a hierarchical discussion.

Keywords:   chaos, conversation, fractals, Monte Carlo analysis, panarchy, phase diagrams, prey-predator, resilience, simulation, stability

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