Local dynamical equivalence of certain food webs

Details Local dynamical equivalence of certain food webs Local dynamical equivalence of certain food webs

2009-06-02

arxiv.org/abs/0906.0381v1

Ocean Dynamics 59 (2), 417-427, 2009

Biology

Quantitative Biology

Populations and Evolution

20 pages, 5 figures

Scientific paper

10.1007/s10236-008-0165-2

An important challenge in theoretical ecology is to find good, coarse-grained representations of complex food webs. Here we use the approach of generalized modeling to show that it may be possible to formulate a coarse-graining algorithm that conserves the local dynamics of the model exactly. We show examples of food webs with a different number of species that have exactly identical local bifurcation diagrams. Based on these observations, we formulate a conjecture governing which populations of complex food webs can be grouped together into a single variable without changing the local dynamics. As an illustration we use this conjecture to show that chaotic regions generically exist in the parameter space of a class of food webs with more than three trophic levels. While our conjecture is at present only applicable to relatively special cases we believe that its applicability could be greatly extended if a more sophisticated mapping of parameters were used in the model reduction.

Affiliated with

Also associated with

No associations

Rating

Local dynamical equivalence of certain food webs does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Local dynamical equivalence of certain food webs, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Local dynamical equivalence of certain food webs will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-234263