Jump to ContentJump to Main Navigation
Food Webs (MPB-50)$
Users without a subscription are not able to see the full content.

Kevin S. McCann

Print publication date: 2011

Print ISBN-13: 9780691134178

Published to Princeton Scholarship Online: October 2017

DOI: 10.23943/princeton/9780691134178.001.0001

Show Summary Details
Page of

PRINTED FROM PRINCETON SCHOLARSHIP ONLINE (www.princeton.universitypressscholarship.com). (c) Copyright Princeton University Press, 2022. All Rights Reserved. An individual user may print out a PDF of a single chapter of a monograph in PRSO for personal use.date: 27 June 2022

Classic Food Web Theory

Classic Food Web Theory

(p.170) Chapter Ten Classic Food Web Theory
Food Webs (MPB-50)

Kevin S. McCann

Princeton University Press

This chapter examines the basic assumptions of classic food web theory. It first considers the classic whole-community approach, which assumes that any specific matrix represents a sample from a “statistical universe” of interaction strengths for a given set of n species. It then describes some matrix approaches to see if context-dependent techniques can be applied to matrix theory, along with the simple graphical techniques of Gershgorin discs employed as an intuitive approach to eigenvalues. It argues that there are some rather intriguing “gravitational-like” properties of Gershgorin discs for some important biologically motivated matrices. The chapter proceeds by discussing some classic whole-matrix results that highlight the connections between the stability of lower-dimensional modules and whole food webs. Finally, it shows how the ideas derived from classic whole-system matrix approaches generally agree with the results of modular theory.

Keywords:   food web theory, whole-community approach, interaction strength, matrix theory, Gershgorin discs, eigenvalue, module, food webs, whole-system matrix, modular theory

Princeton Scholarship Online requires a subscription or purchase to access the full text of books within the service. Public users can however freely search the site and view the abstracts and keywords for each book and chapter.

Please, subscribe or login to access full text content.

If you think you should have access to this title, please contact your librarian.

To troubleshoot, please check our FAQs , and if you can't find the answer there, please contact us.