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Computational Biology and Chemistry
Volume 28, Issue 3, July 2004, Pages 227-233
 
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doi:10.1016/j.compbiolchem.2004.04.002    How to Cite or Link Using DOI (Opens New Window)
Copyright © 2004 Elsevier Ltd. All rights reserved.

Cycling in ecological networks: Finn’s index revisited

Stefano AllesinaCorresponding Author Contact Information, E-mail The Corresponding Author, a and Robert E. UlanowiczE-mail The Corresponding Author, b

a Dipartimento di Scienze Ambientali, University of Parma, Viale delle Scienze 33/A, 43100, Parma, Italy b Chesapeake Biological Laboratory, University of Maryland System, P.O. Box 38, Solomons, MD 20688-0038, USA

Received 23 March 2004; 
Revised 19 April 2004; 
accepted 19 April 2004. 
Available online 26 June 2004.

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Abstract

A chief cybernetic feature of natural living systems is the recycling of nutrients, which tends to enhance stability and is one of the principal causes of ecosystem complexity. In 1976, Finn proposed a simple and effective measure (later known as the Finn cycling index [FCI]) to assess the quantitative importance of cycles in ecosystems. This index was successfully applied as a gauge of ecosystem health and maturity in a wide variety of studies.

It turns out, however, that FCI is biased as a measure of cycling in ecosystems, because it does not include all flows engaged in recycling. A new, more inclusive version of the index is possible. What is called the comprehensive cycling index (CCI) accounts for all of the fluxes generated by cycling. Computing the new measure requires a large amount of time, however, even with ad-hoc software. To obviate the necessity for such heavy computation, a linear transformation of the FCI into the CCI is proposed.

Author Keywords: Cycle; Network analysis; Finn cycling index; Residence time; Leontief matrix

Article Outline

1. Introduction
2. Materials and methods
2.1. Network models
2.2. Leontief matrix
2.3. The FCI and its improvements
2.4. Paths taxonomy and Leontief layers
2.5. A comprehensive cycling index
2.6. Network models
3. Results
4. Discussion and conclusion
Acknowledgements
References





 
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