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Evolution unbound: releasing the arrow of complexity

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[The] conclusion [that evolution is a fact], even if well founded, would be unsatisfactory, until it could be shown how the innumerable species inhabiting this world have been modified, so as to acquire that perfection of structure and coadaptation which most justly excites our admiration.

—Charles Darwin

Abstract

The common opinion has been that evolution results in the continuing development of more complex forms of life, generally understood as more complex organisms. The arguments supporting that opinion have recently come under scrutiny and been found wanting. Nevertheless, the appearance of increasing complexity remains. So, is there some sense in which evolution does grow complexity? Artificial life simulations have consistently failed to reproduce even the appearance of increasing complexity, which poses a challenge. Simulations, as much as scientific theories, are obligated at least to save the appearances! We suggest a relation between these two problems, understanding biological complexity growth and the failure to model even its appearances. We present a different understanding of that complexity which evolution grows, one that genuinely runs counter to entropy and has thus far eluded proper analysis in information-theoretic terms. This complexity is reflected best in the increase in niches within the biosystem as a whole. Past and current artificial life simulations lack the resources with which to grow niches and so to reproduce evolution’s complexity. We propose a more suitable simulation design integrating environments and organisms, allowing old niches to change and new ones to emerge.

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Notes

  1. For a skeptical review of this consensus opinion, identifying culprits, see McShea (1991).

  2. Throughout, we mean by “evolutionary system” any system which has the three basic ingredients required for evolution—inheritance, with variation, under selection. This includes systems of biological organisms and, arguably, their aggregates in species and genera. It cannot include a total biosystem, however, if only because there is no non-trivial population of them subject to selection.

  3. This explanation builds upon Stanley (1973), who applied the concept of “passive diffusion” to Cope’s rule of size increase.

  4. When we say that the diffusion argument trivializes complexity growth, we are not saying that diffusion is trivial or unimportant—it is, in fact, essential (cf. Lynch 2007). Diffusion in evolution is based on mutation, chromosomal cross-over, etc., and is the very stuff of that variation upon which selection acts. So, without diffusion evolution simply stops. What is trivial is its use as a full and complete explanation for complexity growth: there is more to complexity than what diffusion alone can explain.

  5. For example, most of the contributions to the special issue on the evolution of complexity of Artificial Life, introduced by Gershenson and Lenaerts 2008, are devoted to organismic complexity.

  6. No one has previously produced such a model (other than that of McShea (1994), which suffers from its genome being epiphenomenal). Most A-Life simulations introduce implicit biases against complexity and so cannot be models of passive diffusion. But another impediment is just that no researcher is likely to confuse passive diffusion models with a serious attack on the open-ended evolution challenge in the first place. In any case, for this research we have produced such a model, with a genome that genuinely grows in complexity over time and with that complex genome playing a causal role in the inheritance of complexity over the generations. In consequence, the simulation runs progressively more slowly across those generations. Unsurprisingly, as a proper implementation of an unbiased random walk, our model’s results are qualitatively the same as McShea’s, showing that its epiphenomalism is immaterial.

  7. In consequence of this trivialization, we will not refer to Bedau’s classes of unbounded evolution and instead use “unbounded”, “creative” or “open-ended” evolution simply in the sense of satisfying the Strong AOC.

  8. After all, the central concept of adaptation—“the design or suitability of an object for a particular function” (Gould 2002, p. 117)—directly refers to functionality. A few examples of those taking biological functionality as integral to biological complexity include Bronowski (1970), Wicken (1979), Dawkins (1986), Kampis and Csányi (1987), Carroll (2001), Adami (2002). McShea himself, in McShea (2000), takes functional complexity as primary and proposes diversification measures as proxies for functional complexity. Indeed, in many of McShea’s past papers on biological complexity his preference for diversity over functional measures has been motivated simply by the difficulty in identifying biological functions and without any claim of the latter’s irrelevance. Heylighen (1999) sensibly points out that the root Latin word complexus means a twisting together of separate elements, suggesting a dual concept of diverse parts that are functionally interrelated.

  9. Here we are not denying that evolution may operate at various cladistic levels or at the level of ecosystems (e.g., Swenson et al. 2000). We are simply pointing out that it does not operate at the highest conceivable level, that of the biosphere as a whole.

  10. There have been parallel discussions of biology and entropy, exemplified by Schrödinger (2003), finding that individual organisms fight entropy, that the developmental process from egg to adult to senesence and death runs against the tide of entropy for the time of one lifespan. Schrödinger focused on the complexity and organization of organisms, but that is quite different from the complexity of organisms involved in the Weak AOC. Schrödinger’s organisms were individuals, whereas the “organisms” of the Weak AOC are really species. The issues raised are distinct: for Weak AOC, the issue is how diffusion through speciations moves species through the genotypic design space; for Schrödinger, the issue is how ontogenesis produces ordered bodies rather than chaos.

  11. But see Marshall and Jacobs (2009) for a Permian example closer to pure exponential growth.

  12. One reason for this may well be that mass extinctions select for generalists amongst species; cf. Jablonski (2001).

  13. An alternative view held by some is that the apparent successive increases in biodiversity are an artifact of biased availability of paleontological data.

  14. However, there certainly are also rapid adaptive radiations in such cases as well (Kocher 2004).

  15. There are many two-part message length approaches to statistical inference, which collectively have delivered a variety of effective computational tools for pattern discovery in data mining. MML is one of the earliest to have been developed and is the one most clearly aligned with the rapid growth of Bayesian methods in applied computer science.

  16. A similar application of information-theoretic complexity to measuring biosystem organization can be found in Chaitin (1979). See also Papentin (1980; 1982).

  17. For a preliminary treatment of niche web complexity motivated by MML see Dorin and Korb (2010). A similar approach to web complexity is in Standish (2010).

  18. It’s worth noting that if we use the more appropriate notion of niche complexity, namely graph complexity, the exponentiality of niche complexity growth will only intensify, since the number of possible graphs is superexponential in the number of nodes.

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Acknowledgments

We would especially like to acknowledge the contribution of Mark Bedau, both for originally stimulating this research and for extensive discussion of its content. We would also like to acknowledge helpful discussions with Martin Burd, Suzanne Sadedin and Tim Taylor and material assistance from the LSE Centre for Philosophy of Natural and Social Science and the Tilburg Centre for Logic and Philosophy of Science. Finally, we would like to thank our anonymous referees for helping us to improve our discussion.

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Korb, K.B., Dorin, A. Evolution unbound: releasing the arrow of complexity. Biol Philos 26, 317–338 (2011). https://doi.org/10.1007/s10539-011-9254-6

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