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Contents - Konrad Lorenz Institute

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Steven M. Platek<br />

Figure 1: Graph depicting the additive and deception predictions from this model. If there is no actual resemblance and no one<br />

ascribes resemblance of the child to the dad then male parental investment should be low, if present. If the actual resemblance is<br />

present, but social mirror-mediated resemblance is not or actual resemblance is not present, but social mirror-mediated resemblance<br />

is present than male parental investment should be somewhere in the middle probably with much between male variance;<br />

corresponds to a coefficient of abuse score of 1. The optimal condition for male parental investment would be a situation in which<br />

both actual and social mirror-mediated resemblance is present. Females would be predicted to invest equally among all conditions<br />

since maternal resemblance in this model is not predicted to affect female behavior towards children. Filled circles represent female<br />

reactions towards children. Open circles represent male reactions under the additive model; X-filled circles represent male reactions<br />

under the deception model.<br />

netic non-relatedness, G. It is important again to<br />

keep in mind that probability of cuckoldry probably<br />

varies dramatically from 50% and is probably on the<br />

order of 1–20% (CERDA-FORES et al. 1999; SASSE,<br />

MULLER, CHAKRABORTY/OTT 1994; SYKES/IRVEN 2000).<br />

Therefore, if G is multiplied by an estimate of the<br />

cuckoldry rate (C k ) we can obtain an estimate of a<br />

male’s relative certainty of paternity as a function of<br />

an estimate of the population estimates of EPP that<br />

will be referred to as C:<br />

Therefore, G · C k = C (2)<br />

The model equation for paternal investment<br />

(PatI) can be reduced to:<br />

PatI = P/C (3)<br />

The equation might be viewed as a coefficient of<br />

paternal investment, given that as paternal certainty<br />

decreases as a function of decreased perceived or actual<br />

paternal resemblance, the likelihood that the<br />

male would be motivated to engage in offspring<br />

abuse would be expected to increase and investment<br />

would be expected to decrease. Furthermore,<br />

holding P constant and changing the relative rate of<br />

EPP will affect male investment in a manner consistent<br />

with contemporary evolutionary meta-theory.<br />

P is the product of P rt and P rs , which are proportions,<br />

and thus must be less than 1, with 1 being representative<br />

of the highest degree of actual paternal resemblance<br />

and the highest degree of social affirmation<br />

of resemblance (both abstract and difficult to measure).<br />

If we substitute modern estimates of EPP<br />

(range 1–20%), we find that an optimal paternal investment<br />

score (P rt = 1, P rs = 1, C k = 0.5, and<br />

G = 0.01) would equal 400 and decrease logarithmically<br />

to the lowest possible degree of paternal investment<br />

(or depending upon the interpretation paternal<br />

abuse) to 0.1 (P rt = 0.1, P rs = 0.1, C k = 0.5,<br />

G = 0.2).<br />

My colleagues and I have collected data pertaining<br />

to the paternal resemblance portion of this model.<br />

We have found that males bias their reactions to children’s<br />

faces, and hypothetically invest more in children<br />

that share more facial characteristics with them<br />

(PLATEK et al. 2002, 2003, under review; PLATEK 2002).<br />

We have also begun to test how actual or social mirror-mediated<br />

resemblance accounts for the variance<br />

in the way a male reacts towards the faces of children.<br />

The model predicts that when both actual and social<br />

mirror-mediated resemblance are present, a man’s reactions<br />

toward that child should be overwhelmingly<br />

positive, whereas when neither are present his reac-<br />

Evolution and Cognition ❘ 194 ❘ 2003, Vol. 9, No. 2

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