eprintid: 4952 rev_number: 20 eprint_status: archive userid: 351 dir: disk0/00/00/49/52 datestamp: 2016-01-15 02:07:51 lastmod: 2021-08-27 17:15:45 status_changed: 2016-01-15 02:07:51 type: monograph metadata_visibility: show item_issues_count: 2 creators_name: Feo, O. de creators_name: Rinaldi, S. creators_id: 7286 title: Yield and Dynamics of Tri-Trophic Food Chains ispublished: pub internal_subjects: iis_met internal_subjects: iis_mod internal_subjects: iis_sys divisions: prog_dyn abstract: Strong relationships between top productivity and dynamic behavior of tri-trophic food chains are pointed out by analyzing the classical Rosenzweig-MacArthur model. On one hand, food chains are subdivided into under-supplied and over-supplied, the first being those in which a marginal increase of nutrient supply to the bottom produces a marginal increase of mean top productivity. On the other hand, a detailed bifurcation analysis proves that dynamics complexity first increases with nutrient supply (from stationary to low-frequency cyclic regime and, finally, to chaos) and then decreases (from chaos to high-frequency cyclic regime). A careful comparison of the two analyses supports the conclusion that food chains cycling at high-frequency are over-supplied, while all others are under-supplied. A straightforward consequence of this result is that maximization of top productivity requires a chaotic regime. This regime turns out to be very often on the edge of a potential catastrophic collapse of food yield. In other words, optimality implies very complex and dangerous dynamics, as stated long ago for di-trophic food chains by Rosenzweig in his famous paper on the paradox of enrichment. date: 1996-07 date_type: published publisher: WP-96-075 iiasapubid: WP-96-075 price: 10 creators_browse_id: 253 full_text_status: public monograph_type: working_paper place_of_pub: IIASA, Laxenburg, Austria pages: 34 coversheets_dirty: FALSE fp7_type: info:eu-repo/semantics/book citation: Feo, O. de & Rinaldi, S. (1996). Yield and Dynamics of Tri-Trophic Food Chains. IIASA Working Paper. IIASA, Laxenburg, Austria: WP-96-075 document_url: https://pure.iiasa.ac.at/id/eprint/4952/1/WP-96-075.pdf