Figure 1.

Impact of induced phenotypic switching on the cyclic phenotype frequency dynamics. (A): Coevolutionary dynamics between antagonistic phenotypes are predicted to continue indefinitely when no induced switching occurs due to time-lagged, negative frequency dependent selection (αX = 0). (B): When induced switching occurs (here in only in species X, thus αY = 0) at a low rate ( <a onClick="popup('http://www.biomedcentral.com/1471-2148/12/93/mathml/M6','MathML',630,470);return false;" target="_blank" href="http://www.biomedcentral.com/1471-2148/12/93/mathml/M6">View MathML</a>), allele frequency cycles persist in time but at an altered amplitude and speed. (C): When the switching rate exceeds a threshold value <a onClick="popup('http://www.biomedcentral.com/1471-2148/12/93/mathml/M7','MathML',630,470);return false;" target="_blank" href="http://www.biomedcentral.com/1471-2148/12/93/mathml/M7">View MathML</a>, cycles begin to dampen and reach a stable equilibrium. (D-E): Increased levels of induced switching also decrease the amplitude and increase the speed of the cycles. Note that <a onClick="popup('http://www.biomedcentral.com/1471-2148/12/93/mathml/M8','MathML',630,470);return false;" target="_blank" href="http://www.biomedcentral.com/1471-2148/12/93/mathml/M8">View MathML</a> in panels A-C and the one in panels D-F is different because of different selection coefficients used; the relation between the strength of selection and the persistence of cycles is examined in detail in the subsequent figure. The following parameter values were used: (A-C) sX = sY = 0.3, (D-E) sX = sY = 0.65; (A) αX = 0, (B) αX = 0.03, (C) αX = 0.1; In all panels we used αY = 0. Period is defined as a number of generations during which the phenotype frequency cycles around to its original value.

Mostowy et al. BMC Evolutionary Biology 2012 12:93   doi:10.1186/1471-2148-12-93
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