Figure 3.

Criterion for Altruists selection. ( a) fixation probabilities πs (red squares) and πA (blue circles) as a function of selection pressure <a onClick="popup('http://www.biomedcentral.com/1471-2148/12/61/mathml/M48','MathML',630,470);return false;" target="_blank" href="http://www.biomedcentral.com/1471-2148/12/61/mathml/M48">View MathML</a>, for Nf = 100 and <a onClick="popup('http://www.biomedcentral.com/1471-2148/12/61/mathml/M49','MathML',630,470);return false;" target="_blank" href="http://www.biomedcentral.com/1471-2148/12/61/mathml/M49">View MathML</a>. Values are obtained by numerically solving eq.(8). Solid lines are theoretical values (eqs. 13,14). Increasing Ni are indicated by the arrow. (b) equilibrium selection pressure <a onClick="popup('http://www.biomedcentral.com/1471-2148/12/61/mathml/M50','MathML',630,470);return false;" target="_blank" href="http://www.biomedcentral.com/1471-2148/12/61/mathml/M50">View MathML</a> for which πA = πs for multiple combinations of <a onClick="popup('http://www.biomedcentral.com/1471-2148/12/61/mathml/M51','MathML',630,470);return false;" target="_blank" href="http://www.biomedcentral.com/1471-2148/12/61/mathml/M51">View MathML</a> and <a onClick="popup('http://www.biomedcentral.com/1471-2148/12/61/mathml/M52','MathML',630,470);return false;" target="_blank" href="http://www.biomedcentral.com/1471-2148/12/61/mathml/M52">View MathML</a>, as a function of relative population increase, obtained numerically. The solid line is the theoretical value (eq.15).

Houchmandzadeh and Vallade BMC Evolutionary Biology 2012 12:61   doi:10.1186/1471-2148-12-61
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