Abstract
I distinguish two versions of kin selection theory—a purely genetic version (GKST) and a version that also appeals to cultural (i.e. non-genetically-derived) forms of cooperation (WKST)—and present an argument in favor of using the former when it comes to accounting for the evolution of cooperation in non-human organisms. Specifically, I first show that both GKST and WKST are equally mathematically coherent—they can both be derived from the Price equation—but not necessarily equally empirically plausible, as they are based on different assumptions about the inheritance system underlying the cooperative phenotype. Given this, I then, second, present a model selection theoretic argument in favor of GKST over WKST. This argument is based on the fact that, in non-human cases, the former theory is likely to be as empirically successful as WKST, while containing fewer degrees of freedom. I end by defending both the intrinsic importance of this argument and its relevance to the discussion surrounding the “gene’s eye view of evolution.”
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Notes
Of course, it is possible that they did not evolve by natural selection. However, given the fact that these traits are quite common (West et al. 2011), and that there are—perhaps despite initial appearances to the contrary—selective explanations available for them, I will not consider this further here. This is not to say that many such traits might not have evolved in ways that do not strongly depend on natural selection; it just means that this is not what is at stake here.
As noted by Frank (1998), there are many possible interpretations of z. The ones in text are just chosen for expositional clarity.
Some authors (see e.g. Queller 1985, 1992) have argued that, in phenotypic forms of Hamilton’s rule, it is likely that there are “synergistic effects” that need to be taken into account: in particular, the cooperative phenotype may yield a benefit to other cooperators independently of the assortative effect measured by the correlation of genotypes gi and gi’ (e.g. helping a helper may yield benefits that helping a non-helper does not). There are different ways of including this into Hamilton’s rule; for example, Queller (1985) shows that, in some cases, these synergistic effects can be captured by adding an extra term to (1) like this: Δp > 0 if and only if −c + br + dS > 0, where S is a variable that captures the size of the synergistic (non-additive) effects of helping helpers. However, it is controversial to what extent this is unique to the phenotypic case (Queller 1985, 1992, 2011; Birch and Marshall 2014; Marshall 2011; Sober 2000). For this reason, I will not consider synergistic effects further here—noting just that, if synergistic effects do systematically affect WKST more than GKST, this would only favor my argument, as it adds degrees of freedom to the former. See also below.
Of course, it is also possible to define other restricted versions of WKST: for example, one could consider a form of KST that is restricted to cultural inheritance (i.e. qi) only. However, the interest here is in GKST, as this is the theory that makes for an interesting empirical contrast to WKST. See also below.
Note that WKST is a not a purely additive expansion of GKST. However, all that is relevant here is that WKST has more degrees of freedom than GKST; the nature and exact quantity of this increase are not so important—see also note 16.
This marks an important contrast to other restricted forms of WKST: e.g. ones restricted to cultural factors only. The latter would not be empirically equivalent to WKST in non-human cases of the evolution of cooperation.
The one widely studied case of non-human reciprocal altruism—concerning food sharing in vampire bats—is no exception to this either (Carter and Wilkinson 2013; see also Hammerstein 2003), as this does not actually concern genuine evolutionary altruism, and is thus to be explained in a non-cooperative framework (Ramsey and Brandon 2011).
It is also worth noting that cases of mutualism do not fall into the class of cases that cannot be handled well by genetic forms of GKST, as these do not obviously concern the evolution of altruistic cooperation (Wyatt et al. 2013; but see also Frank 1994). Indeed, they may be better handled as cases where a population of organisms adapts to an environment partially constituted by other types of organisms (see also Gardner and West 2010; Godfrey-Smith 2009).
For a treatment of appeals to simplicity in science and philosophy more generally, see Sober (2015).
In this way, I also avoid Sober’s (2002) charge that some model selectionist frameworks—like likelihoodism—lack an established epistemic foundation: this may be so, but all that I am claiming here is that, to the extent that likelihoodism is accepted, we have a reason to favor GKST over WKST. Given the wide acceptance of likelihoodism, this is still a sufficiently strong conclusion. At any rate, as will be made clearer below, the argument of this paper does not depend on the acceptance of likelihoodism.
So, formally, one could define y1 = 1 if and only if (–c + b rg) > 0, y1 = 0 otherwise (for GKST), and y2 = 1 if and only if –c + b [a rg + (1 − a) (rq + rgq + rqg)] > − d; y2 = 0 otherwise (for WKST). Then one could generate a (large) data set containing all investigations of the evolution of cooperation, noting for each one the values (or at least estimates) of c, b, rg, rq, rgq, rqg, and d, and adding a variable z coded as 1 if cooperation did evolve in the case in question (or did so easily and quickly), and 0 if not. On this basis, one could then compare how well y1 and y2 match z. A more sophisticated version of such an approach would have yi be graded, to model differences in the ease with which cooperation can evolve.
Note also that, given the randomness inherent in evolutionary processes, there is no doubt that the comparison between GKST and WKST can be seen as a statistical inference problem to begin with. Furthermore, there is also little reason to think that the statistical properties of these evolutionary processes change from application to application (see also Forster and Sober 1994).
Another concern one might have with placing the GKST/WKST comparison in a model selection framework is that these two theories contain no adjustable parameters, in the sense that is that there is no flexibility in how rg, rq, rgq, rqg, etc. are to be related to each other. However, this point does not raise major problems for the present argument either. On the one hand, likelihood ratio tests—for one—apply whether or not the two theories have adjustable parameters in this sense (Burnham and Anderson 2002; Abraham and Ledolter 2006). On the other hand, one can work around this issue by introducing adjustable parameters into the two theories and then applying AIC or BIC (for example). So, one could just compare (GKST*) Δg > 0 if and only if s1 + (−c + b rg) > 0 and (WKST*) Δp > 0 if and only if s1 + [–c + b rg + s2 [b [(a − 1) rg + (1 − a)(s3 rq + s4 rgq + s5 rqg)]]] > − s6d, where s1 is a parameter capturing an overarching measurement error, and s2, s3, s4, s5, and s6 are parameters capturing the weights that should be given to Var(qi), rq, rgq rqg, and E(wiΔqi) respectively. (One could further make s2 to s6 dummy parameters by restricting them to taking on the value of either 0 or 1). It is then possible to let the data determine the best values of s1 to s6. The introduction of these parameters is furthermore made reasonable by the fact that, in actual applications of the two theories, we may need to replace population statistics (like variances and covariances) with their estimates (sample variances or covariances). If this is done, GKST* is nested in WKST*—it has s2 = s3 = s4 = s5 = s6 = 0—and their comparison is a standard model selection problem (Burnham and Anderson 2002).
In fact, one could see the comparison between GKST and WKST as related to the dispute as to whether KST, in general, or MLST, in general, should be seen as the key framework with which to approach the evolution of cooperation (for more on this dispute, see e.g. West et al. 2007, 2008; Wilson 2008; Sober and Wilson 1998; Okasha and Martens 2016; Birch and Okasha 2014; Okasha 2015). This is due to the fact that MLST is often stated as emphasizing precisely the importance of non-genetic interactions in the explanation of the evolution of cooperation. So, for example Sober (2000, pp. 110–111), in laying out an MLST-based perspective towards the evolution of cooperation states: “the key to the evolution of altruism is population structure.” In turn, this might lead one to think that, in spirit, MLST is very close to WKST (see e.g. Lehmann et al. 2007). However, laying out and justifying this argument calls for another paper.
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Acknowledgements
I would like to thank Elliott Sober, Joel Velasco, Angela Potochnik, Daniel Reuman, the referees for this journal, and audiences at the University of Kansas, the University of Missouri-Columbia, and the University of Wisconsin-Madison, for helpful comments on previous drafts of the paper.
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Schulz, A.W. By genes alone: a model selectionist argument for genetical explanations of cooperation in non-human organisms. Biol Philos 32, 951–967 (2017). https://doi.org/10.1007/s10539-017-9584-0
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DOI: https://doi.org/10.1007/s10539-017-9584-0