Mathematical Modelling 101: Introduction & Viability Selection

I think the best place to start would be to state the following: Do not fear math. I spent far too long dodging equations and, when that wasn’t possible, freezing in a state of absolute confusion when faced with something like:

By the end of this post, you’ll hopefully be able to understand the above is not just a bunch of jibberish. Now before we get into the nitty gritty of the subject, I think a clarification of my assumptions is in order:

  1. That you’ll have a basic understanding of evolutionary biology. If not, then may I suggest Evolution as a very good, and highly comprehensive, introductory text. Failing that, you can always pop over to the wikipedia page.
  2. Although these posts will refer to evolutionary biology, my background is in linguistics and socio-cultural evolution — and as such, I will tend to default to the position of explaining these latter areas.
  3. It might sound insulting, but you’ll also need a basic understanding of math. You’ll be surprised by the number of people who, despite being very bright, lack even an elementary grasp of the fundamentals. A good place to start is with Kahn Academy’s wonderful online resource: http://www.khanacademy.org/.
  4. Having said that, I’m not really expecting anything beyond algebra level math, and I’ll do my best to try and clarify any confusions in the comments section. Also, I’m hardly a math guru, so I welcome anyone with a solid background in math to provide any hints, tips or suggestions, and, in the event I’m plain wrong, point out any mistakes.

Continue reading “Mathematical Modelling 101: Introduction & Viability Selection”

Some links #8: Are you WEIRD?

We agree it’s WEIRD, but is it WEIRD enough? Greg Downey at Neuroanthropology gives his take on Henrich et al.’s paper The weirdest people in the world? which looks at acronym WEIRD (Western, Educated, Industrialized, Rich, and Democratic) and how we may be extrapolating too much from this particularly narrow data set. Yet, despite this, we continue to use WEIRD individuals in psychological experiments, even though it may not be representative of, say, the large body of Africans. I mean, come on, you wouldn’t take genetic data from Western Europe and then make sweeping generalisations about populations in Western Africa…

The Human Penis Bone. From WEIRD to just weird. Scicurious reviews a very old journal article from 1913, which tells of a guy who actually grew a penis bone. Now, many mammals do have penis bones, but human males generally lack this ossified aid. However, if you’re curious about how to get one, then all you have to do is simply wear a particular type of corset (see below) and, here’s a downside for those of you planning on ditching the Viagra, get syphilis. As Scicurious explains:

The syphilis, combined with the constant irritation of the corset, had apparently caused a build up of desposits, which eventually ossified and turned in to bone. REAL BONE, with marrow and holes in it and everything! […] So the moral of this story is: if you’re a guy, and you’re vain about your appearance, get a flat front corset. You don’t want to be sitting down in something pointy.

Wild cat found mimicking monkey calls. Some clever vocal mimicry from a margay. ScienceDaily reports:

Researchers first recorded the incident in 2005 when a group of eight pied tamarins were feeding in a ficus tree. They then observed a margay emitting calls similar to those made by tamarin babies. This attracted the attention of a tamarin “sentinel,” which climbed down from the tree to investigate the sounds coming from a tangle of vines called lianas. While the sentinel monkey started vocalizing to warn the rest of the group of the strange calls, the monkeys were clearly confounded by these familiar vocalizations, choosing to investigate rather than flee. Four other tamarins climbed down to assess the nature of the calls. At that moment, a margay emerged from the foliage walking down the trunk of a tree in a squirrel-like fashion, jumping down and then moving towards the monkeys. Realizing the ruse, the sentinel screamed an alarm and sent the other tamarins fleeing.

Nongenetic selection and evolution: flies use bacteria to adapt to parasitic worms. Jerry Coyne has a fascinating post about nongenetic evolution occurring in a mushroom-eating fruit fly Drosophila neotestacea. But how is it nongenetic? Well, as Jerry explains:

A new paper by John Jaenike and his colleagues in Science, however, shows a form of biological evolution by natural selection that isn’t based on changes in genes. It’s based on changes in the presence of symbiotic bacteria that protect a species from parasites […] Some flies also carry another organism: the bacterial symbiont Spiroplasma, which is found in many insects.  In D. neotestacea, however, the presence of Spiroplasma protects the fly from the sterilizing effects of nematodes.  While flies with worms and no Spiroplasma are virtually sterile, the presence of the bacteria confers almost normal fertility on worm-ridden flies.  It’s not yet clear how this works, but worms in flies with Spiroplasma are much smaller than those without the bacteria. Presumably the bacteria does something to the worms (or to the flies) that makes the worms grow much more slowly.

Can linguistic features reveal time depths as deep as 50,000 years ago?

ResearchBlogging.orgThroughout much of our history language was transitory, existing only briefly within its speech community. The invention of writing systems heralded a way of recording some of its recent history, but for the most part linguists lack the stone tools archaeologists use to explore the early history of ancient technological industries. The question of how far back we can trace the history of languages is therefore an immensely important, and highly difficult, one to answer. However, it’s not impossible. Like biologists, who use highly conserved genes to probe the deepest branches on the tree of life, some linguists argue that highly stable linguistic features hold the promise of tracing ancestral relations between the world’s languages.

Previous attempts using cognates to infer the relatedness between languages are generally limited to predictions within the last 6000-10,000 years. In the present study, Greenhill et al (2010) decided to examine more stable linguistic features than the lexicon, arguing:

Continue reading “Can linguistic features reveal time depths as deep as 50,000 years ago?”

Cultural Evolution: A Vehicle for Cooperative Interaction Between the Sciences and the Humanities

Bill Benzon of New Savanna has a long article over at On the Human about cultural evolution. It touches on some very important topics, which includes an example of coordinating behaviour:

Consider the bi-modal clapping that routinely rewards a successful performances—music, drama, circus, etc.—in eastern European communities, but which is less common in western Europe and North America. Z. Néda and colleagues (2000) have investigated this phenomenon, recording applause for a number of performances in Romania and Hungary. The applause would start out randomly and then quickly become strongly synchronized. Synchronized clapping would continue for a short while (one mode) and then disintegrate into random clapping (the other mode), from which synchronized clapping would reemerge, and so forth.

He also emphasises the importance of, and the need for, description in cultural evolution, drawing on Darwin’s own situation in the 19th Century:

Consider the situation of Darwin faced in the 19th century. When he began formulating his ideas on the origin of species he had three bodies of knowledge to work from: prior thought on the topic, his own observations over three decades, and the cumulative results of four centuries of descriptive work in natural history (cf. Ogilvie 2006) to which he had access through books and collections. That descriptive work provided models for his own observation and description. Plants and animals, and their lifeways, are very complex. Which traits and features are the most important to observe and describe? That is not an obvious matter, and it took naturalists decades to arrive the useful descriptive methods (cf. Foucault 1973, pp. 128 ff.). Secondly, it gave him the means to abstract and generalize from his own observations, to explore their implications throughout the natural world, most of which, of course, was beyond his immediate experience.

I’m planning on posting a comment tomorrow, but only if I’ve got something worth adding to the discussion. I think there are definitely areas worth looking at, such as the use of phylogenetic techniques in investigating culture, though I’m still juggling in my head whether they are entirely relevant to the conversation at hand. Also, be sure to check out John Wilkins’ comment about memes.

Some Links #5

The returns on homogeneity Razib Kahn writes about the potential costs of  the world having diversity in its languages, instead of just one. He also asks: “The extreme linguistic diversity of less developed regions of the world, or even 18th century France and Italy, is probably detrimental to economic growth and economies of scale, but do diminishing returns kick in at some point?” I’m not too sure where my thoughts lie on this, as I’ve never really thought about it before, which, for me at least, is always the sign of a good blog post. Of course, the economic woes or pros will be negated once the universal translator is made…

Cultural Induction is hard Sean Roberts offers a very thought-provoking post about cultural induction. A week or so ago he ran a little experiment on Facebook, with the explicit aim of looking at Welsh Mutations and agreements between Welsh-speaking individuals in regards to simple sentences. All this fits into a larger picture, with Sean arguing, quite persuasively, that “cultural induction may not be easier than learning about the natural world if everybody is doing something different.”

Cultural Evolution I tend to think I write fairly in-depth posts about cultural evolution, but it appears Bill Benzon over at New Savanna has dethroned me with a knock out tome of posts. These include one on language games, which, in the spirit of being completely honest, I haven’t yet had chance to completely read. I think a New Savanna day is due at some point next week.

Simon Jenkins writes something stupid, and in doing so invites a whole number of science bloggers to have their very own spoof Jenks day, in which (apparently) evil boffins seek revenge.

A new Papua tribe is discovered. Numbering around 3000 the tribe will surely be of interest to field linguists. They also apparently live in trees and run around completely naked (apart from banana leaves covering their private parts).

Culture as an evolutionary phenomenon. An interesting lecture by Rob Boyd over at the ICCI’s website.

Recent Abstracts #1

In an effort to update this blog regularly, I’ve decided to take the lazy route and post up a list of abstracts. This will only happen once a week, but it’s a useful resource (for me at least), and will usually be an indicator of what articles I’m going to write about in the near future.

Continue reading “Recent Abstracts #1”

Population size predicts technological complexity in Oceania

ResearchBlogging.orgHere is a far-reaching and crucially relevant question for those of us seeking to understand the evolution of culture: Is there any relationship between population size and tool kit diversity or complexity? This question is important because, if met with an affirmative answer, then the emergence of modern human culture may be explained by changes in population size,  rather than a species-wide cognitive explosion. Some attempts at an answer have led to models which make certain predictions about what we expect to see when populations vary. For instance, Shennan (2001) argues that in smaller populations, the number of people adopting a particular cultural variant is more likely to be affected by sampling variation. So in larger populations, learners potentially have access to a greater number of experts, which means adaptive variants are less likely to be lost by chance (Henrich, 2004).

Models aside, and existing empirical evidence is limited with the results being mixed. I previously mentioned the gradual loss of complexity in Tasmanian tool kits after the population was isolated from mainland Australia. Elsewhere, Golden (2006) highlighted the case of isolated Polar Inuit, who lost kayaks, the bow and arrow and other technologies when their knowledgeable experts were wiped out during a plague.Yet two systematic studies (Collard et al., 2005; Read, 2008) of the Inuit case found no evidence for population size being a predictor of technological complexity.

Continue reading “Population size predicts technological complexity in Oceania”

Answering Wallace's challenge: Relaxed Selection and Language Evolution

ResearchBlogging.orgHow does natural selection account for language? Darwin wrestled with it, Chomsky sidestepped it, and Pinker claimed to solve it. Discerning the evolution of language is therefore a much sought endeavour, with a vast number of explanations emerging that offer a plethora of choice, but little in the way of consensus. This is hardly new, and at times has seemed completely frivolous and trivial. So much so that in the 19th Century, the Royal Linguistic Society in London actually went as far as to ban any discussion and debate on the origins of language. Put simply: we don’t really know that much. Often quoted in these debates is Alfred Russell Wallace, who, in a letter to Darwin, argued that: “natural selection could only have endowed the savage with a brain a little superior to that of an ape whereas he possesses one very little inferior to that of an average member of our learned society”.

This is obviously relevant for those of us studying language evolution. If, as Wallace challenged, natural selection (and more broadly, evolution) is unable to account for our mental capacities and behavioural capabilities, then what is the source behind our propensity for language? Well, I think we’ve come far enough to rule out the spiritual explanations of Wallace (although it still persists on some corners of the web), and whilst I agree that biological natural selection alone is not sufficient to explain language, we can certainly place it in an evolutionary framework.

Such is the position of Prof Terrence Deacon, who, in his current paper for PNAS, eloquently argues for a role for relaxed selection in the evolution of the language capacity. He’s been making these noises for a while now, as I previously mentioned here, with him also recognising evolutionary-similar processes in development. However, with the publication of this paper I think it’s about time I disseminated his current ideas in more detail, which, in my humble opinion, offers a more nuanced position than the strict modular adaptationism previously championed by Pinker et al (I say previously, because Pinker also has a paper in this issue, and I’m going to read it before making any claims about his current position on the matter).

Continue reading “Answering Wallace's challenge: Relaxed Selection and Language Evolution”

Experiments in cultural transmission and human cultural evolution

ResearchBlogging.orgFor those of you familiar with the formal mathematical models of cultural evolution (Cavalli-Sforza & Feldman, 1981; Boyd & Richerson, 1985), you’ll know there is a substantive body of literature behind the process of cultural transmission. It comes as a surprise, then, that experiments in this area are generally lacking.

For instance, if we look at evolutionary biology, then there are many experiments into small-scale microevolutionary processes, such as natural selection, sexual selection, mutation and drift, which are then applied in showing how these processes generate population-level, macroevolutionary patterns. It follows then, that this sort of population-level thinking can be applied to cultural evolution: the forces and biases of cultural transmission can be studied experimentally to see if they fit with population-level patterns of cultural change documented by scientists. As the current paper by Mesoudi & Whiten (2008) notes, this potentially gives cultural transmission experiments added significance: “cultural transmission should not only be studied for its own sake (i.e. in order to better understand cultural transmission itself), but also in order to explain broader cultural patterns and trends, all as part of a unified science of cultural evolution”.

Continue reading “Experiments in cultural transmission and human cultural evolution”

Cultural innovation, Pleistocene environments and demographic change

ResearchBlogging.orgIt is well documented that Thomas Robert Malthus’ An Essay on the Principle of Population greatly influenced both Charles Darwin and Alfred Russell Wallace’s independent conception of their theory of natural selection. In it, Malthus puts forward his observation that the finite nature of resources is in conflict with the potentially exponential rate of reproduction, leading to an inevitable struggle between individuals. Darwin took this basic premise and applied it to nature, as he notes in his autobiography:

In October 1838, that is, fifteen months after I had begun my systematic inquiry, I happened to read for amusement Malthus on Population, and being well prepared to appreciate the struggle for existence which everywhere goes on  from long-continued observation of the habits of animals and plants, it at once struck me that under these circumstances favourable variations would tend to be preserved, and unfavourable ones to be destroyed. The results of this would be the formation of a new species. Here, then I had at last got a theory by which to work.

The interaction of demographic and evolutionary processes is thus central in understanding Darwin’s big idea: that exponential growth will eventually lead to a large population, and in turn will generate competition for natural selection to act on any heritable variation which conferred a greater fitness advantage. Under these assumptions we are able to interpret the evolutionary record of most species by appealing to two basic causal elements: genes and the environment. As we all know, in most cases the environment generates selection pressures to which genes operate and respond. For humans, however, the situation becomes more complicated when we consider another basic causal element: culture. The current paper by Richerson, Boyd & Bettinger (2009) offers one way to view this muddied situation by delineating the demographic and evolutionary processes through the notion of time scales:

The idea of time scales is used in the physical environmental sciences to simplify problems with complex interactions between processes. If one process happens on a short time scale and the other one on a long time scale, then one can often assume that the short time scale process is at an equilibrium (or in some more complex state that can be described statistically) with respect to factors governed by the long scale process. If the short time scale and long time scale interact, we can often imagine that at each time step in the evolution of the long time scale process, the short time scale process is at “equilibrium.” A separation of time scales, if justified, makes thinking about many problems of coupled dynamics much easier.

Continue reading “Cultural innovation, Pleistocene environments and demographic change”