"4952","20","archive","351",,,"disk0/00/00/49/52","2016-01-15 02:07:51","2021-08-27 17:15:45","2016-01-15 02:07:51","monograph",,,"show","","","2",,,"Feo","O. de","","",,"","",,,,,"","","Yield and Dynamics of Tri-Trophic Food Chains","pub","","iis_met","prog_dyn",,,"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.","1996-07","published","WP-96-075",,,,,,,"",,,,,"",,,,,"",,,,,"","",,"","WP-96-075",,,"10",,,"253","public","working_paper",,,,,,"IIASA, Laxenburg, Austria",,"34",,,,,,,,,,,,,,,,,,"","","","",,"","",,,,,,,"",,,,,"FALSE",,,"info:eu-repo/semantics/book",
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