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Design degrees of freedom and mechanisms for complexity

Reynolds, David and Carlson, J. M. and Doyle, John (2002) Design degrees of freedom and mechanisms for complexity. Physical Review E, 66 (1). Art. no. 016108. ISSN 1063-651X. doi:10.1103/PhysRevE.66.016108.

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We develop a discrete spectrum of percolation forest fire models characterized by increasing design degrees of freedom (DDOF’s). The DDOF’s are tuned to optimize the yield of trees after a single spark. In the limit of a single DDOF, the model is tuned to the critical density. Additional DDOF’s allow for increasingly refined spatial patterns, associated with the cellular structures seen in highly optimized tolerance (HOT). The spectrum of models provides a clear illustration of the contrast between criticality and HOT, as well as a concrete quantitative example of how a sequence of robustness tradeoffs naturally arises when increasingly complex systems are developed through additional layers of design. Such tradeoffs are familiar in engineering and biology and are a central aspect of the complex systems that can be characterized as HOT.

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Doyle, John0000-0002-1828-2486
Additional Information:©2002 The American Physical Society Received 15 October 2001; published 15 July 2002 This work was supported by the David and Lucile Packard Foundation, NSF Grant No. DMR-9813752, and EPRI/DoD.
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Record Number:CaltechAUTHORS:REYpre02
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Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:1525
Deposited By: Archive Administrator
Deposited On:26 Jan 2006
Last Modified:08 Nov 2021 19:11

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