Still Simpler Proxy

Multiple birth states still necessitate the calculation of an eigenvalue. Luckily, for a number of calculations it is possible to use as fitness proxy the explicitly calculable quantity

with

In particular, provided the set X of potential trait vectors is connected, X*is a global ESS if q(X|X*) < 0 for all X = X*, and only if q(X|X*) < 0 for all X. (A strategy is called a local ESS when it cannot be invaded by nearby mutants and a global ESS when it cannot be invaded by any mutant.) Moreover, any local ESSs can be calculated and their attractiveness determined by substituting q for invasion fitness.

Only when it comes to the calculation of evolutionary transients there is a difference. For small mutational steps r (Xm |Xr) « (Xr |Xr)(Xm - Xr)

X1m 1

with progressively more complicated corrections appearing in the higher-order terms.

Similar results hold good for models described in terms of [1] or [2], with Tb = 1 and in the case of [2], q(Xm|Xr) = P(Xm|Xr)(0) and

Matrix models with T-periodic environments can be brought into the fold by replacing A in [23] with C(T), as defined in the section on calculation procedures, and replacing Tb with T in [24] .

Was this article helpful?

0 0
Oplan Termites

Oplan Termites

You Might Start Missing Your Termites After Kickin'em Out. After All, They Have Been Your Roommates For Quite A While. Enraged With How The Termites Have Eaten Up Your Antique Furniture? Can't Wait To Have Them Exterminated Completely From The Face Of The Earth? Fret Not. We Will Tell You How To Get Rid Of Them From Your House At Least. If Not From The Face The Earth.

Get My Free Ebook


Post a comment