Track your comments!
[x]


When you register, comments on your articles and replies to your comments appear here. Register Now!

Sign in to your account
[x]

Not a Scientific Blogging member yet?

Register Now for a Free Scientificblogging.com Account

  • Customize your profile with pictures, banner, a blogroll and more.
  • Leave comments on articles, add other members to your friend lists, chat with people on the site.
  • Write blog posts that can be seen by hundreds of thousands of readers.

It's free and it only takes a minute!

Already a Scientific Blogging member?

Sign In Now

Banner
By Claire El Mouden | July 11th 2009 11:32 AM | 35 comments | Print | E-mail | Track Comments
.

More Darwin 2.0 articles

All

About Claire El Mouden

Welcome to Darwin 2.0, where I'll do my best to explain the latest advances in evolutionary theory to non-biologists and discuss the ways evolutionary ideas are used (and misused) in anthropology... Full Bio

I’ve been prompted to write this because of the misconceptions about the concept of the “Selfish Gene” in Evolutionary theory – evident in both blog replies on this site and more widely.

I get really irritated when I see writers in the social sciences characterise evolutionary biology as somehow being based on the same assumptions as rational choice theory. Here is the first paragraph from a book chapter I saw today which motivated me to start this blog and write this entry...

Evolutionary Theory and Cooperation in Everyday Life David Sloan Wilson and Daniel Tumminelli O’Brien


"Theories of cooperation in both biology and the human social sciences have had a
turbulent history. During the nineteenth and early twentieth centuries, it was
common to regard societies as like organisms in their own right. This holistic
worldview was largely replaced during the middle of the twentieth century by a
more reductionistic view that sought to explain as much as possible in terms of
individual self-interest. In evolutionary biology, this trend was represented
by the rejection of group selection in favor of “the theory of individual
selection” and ultimately “selfish genes.” In the human social sciences, the
trend was represented by “methodological individualism” (Sober and Wilson 1998;
Wegner 1986) and especially rational choice theory in economics, which assumes
that all human preferences can be understood in terms of individual utility
maximization, with the utility usually conceptualized as material gain (e.g.,
income)."


If you read this and thought it sounded OK, please read on as its really really not.  Hopefully by the end of this article you'll see why biologists get so frustrated when people equate their theories to economic rational choice.

Of course I agree that saying humans behave as rational self-interested utility maximisers is totally silly in many situations particularly when it comes to looking at humans in a social context.  It’s a shame that rational choice was so unquestionably accepted, and its given rise to some awful government policies. People in the rest of the social sciences (sociology, anthropology etc.), from the start could see how flawed rational choice was, and clearly as the main areas of their interest fell into the realm where rational choice failed, they disliked the theory intensely. So as the world started to talk in terms of rational choice and individualism I can imagine how irritated whole departments of anthropologists were getting...

It took a lot of empirical evidence before economists took the criticisms seriously, but fortunately since the mid-90s, the limitations of rational choice are being considered seriously by its supporters. The field of behavioural economics is rapidly expanding and there are exciting and inspiring cross-disciplinary collaborations happening between economists and social science disciplines (economist-psychologist, economist-anthropologist etc).

So I agree with what this paragraph says about economics. What about evolutionary theory? To someone outside the field, it sounds like a similar story is going on...in the 1970s, the collectivist "group-selection" ideas were finally extinguished, and everything was studied in terms of individual maximisation, indeed biologists went one step further and by the end of the 1970s were talking of "Selfish Genes"...and like rational choice, the theory had its opponents  - especially with the claims about human behaviour made in a inaccuracy-ridden coffee table book (see the Sociobiology EO Wilson controversy).  The critics labelled this new way of evolutionary thinking as “NeoDarwinism” (by the way, biologists never talk of Sociobiology or NeoDarwinism, its evolutionary biology and social evolution).

Starting in the 1980s and continuing today, the “Selfish Gene” ideas have been challenged and a new way of looking at evolutionary biology from a group - or multi-level - perspective has challenged the "NeoDarwinian" ideas. In recent years, this has lead to a flurry of Science and Nature papers by leading economists suggesting how human sociality can be understood as a group adaptation. OK, I'll stop there with my account of what "NeoDarwinian" evolutionary biologists think.... For anyone interested in this topic most of this historical story will be old news anyway.  For any biologists reading this, I don’t want to piss them off any more!

I'm not going to have time this evening to go through all the misconceptions in detail in this article - but I'll start with the biggy...that evolutionary biology rejected group-think and went for an individualist approach.

Before I go on, if you are interested, I humbly suggest you read this paper I've written with my colleagues at Oxford which we've submitted to the Journal of Economic Literature. It lists in detail many of the misconceptions I'll not doubt find myself writing about in this blog. If you would like further reading go there and then see the references therein.

Evolutionary theory DOES see individuals as fitness maximsers BUT evolutionary theory DOES NOT see the individuals fitness (number of offspring) as the maximand.

Defining the “Selfish Gene”

Multiple copies of the same Gene occur in different individuals in a population (if you are members of the same species, the vast majority of your genes will be identical, after all we share 97%+ of our genes
with a chimp).

Selfish Genes are only “selfish” when seen as a whole (as it is the fitness of the Gene, not the fitness of its individual copies that is maximised).  As one Gene may be common to several species, for many Genes the individual gene copies over which it maximises are spread across a diversity of individuals. It has been shown formally (with maths) that Genes (i.e. all copies of a particular Gene) can be accurately described as maximsers.

The "selfishness" here means maximsing its own transmission, not any other more emotive / morally loaded meaning of the word selfishness.  As an aside, I work in the same as Richard Dawkins and colleagues tell me he now wishes he called his book “The Self Interested Gene” but at the time decided the (less accurate) catchier title was preferable…I think he regrets it now.

Consider now an individual person. That person will have millions of COPIES of different genes. The Selfish Gene idea never meant to suggest that an individual copy would be expected to behave selfishly.
Indeed most gene copies favour cooperation with individuals that also have a copy of the same gene...because doing so maximises the Gene fitness.  It’s a shame there is not two words, one for a Gene and one for one of its many gene copy.  I’m using Gene and gene.

So I stress: Cooperation is expected because we share copies of the same "selfish" Genes. Indeed at the individual level its more accurate to think of SOCIAL GENES, not selfish genes.

As individuals contain many genes, complex patterns of social behaviour are expected to occur between them. Individuals (humans) from an evolutionary perspective are NOT predicted to be rational maximsers akin to economic agents...their genes are (but as genes have copies spread across many individuals the way rational choice-style theory is applied it very different from the way we'd apply it assuming individual people are the economic agents).

Defining Fitness

How can we the define fitness in a useful way that helps us understand behaviours that individuals (or groups) perform that we are interested in (like human cooperation)? Gene fitness is great, but its not very useful if we want to go out and try to collect data to test evolutionary theories.  The answer is we can measure an individual’s fitness as it inclusive fitness.

Recently, it has been shown formally (with maths) that it is accurate to say that an individual is adapted to maximse its "inclusive fitness".  We can say it is a natural law (as real as Newtons laws of physics) that natural selection acts to maximise inclusive fitness (or from a Gene level, its equivalent to say natural selection maximises Gene fitness).  

By the way, the same group of mathematicians have looked at groups (population-level) and have found it is usually impossible to define fitness from a group perspective.  It can only be done in very restrictive situations (which are if the group members are identical or the group members are unable to operate freely).  This means, unless its one of the special situations, natural selection cannot be said to operate at the group level.  Natural selection can always be understood at the individual level (via inclusive fitness) or at the gene level (via gene fitness).   This is a fascinating, but complex topic; I’ll return to in the future.

People say natural selection is just a theory, but it’s as real as the theory of gravity.  When Darwin was around, we did not have the understanding to develop the maths.  During the twentieth centaury, a series of excellent biologists (Fisher, Hamilton and Price being the big three) have formally defined with maths the process of natural selection, confirming it is a phenomenon just a real and universal as gravity (if we looked at life on other planets, the maths would be the same, as it is if we think of evolution in any other system).  If you are an evolutionary biologist, you'll recognise the equation in the banner of my blog as the E=mc2 of evolutionary theory.  It is the Price equation and the derivation from it of Hamilton's Rule (rb-c>0). SO there IS an equation to explain evolution (its just more complex and less well known that the most famous in physics).

What is inclusive fitness?

Inclusive fitness measures the degree to which an individual succeeds in transmitting the genes it bears copies of to future generations. To calculate the inclusive fitness of an individual you need to consider two things: an individual's direct and indirect fitness.

Direct fitness is the reproductive value (the number of offspring) of an individual.  Many problems have arisen by thinking we can only consider inclusive fitness as equal to just the direct fitness – if you do this you can think of an individual’s fitness in a similar way to that of an economic agent that maximses utility.  I should add that in practice, biologists often take measures that are related to direct fitness and assume this can infer what the inclusive fitness of the animal might be (e.g. you measure antler length, clutch size, body mass, territory size, number of mates and assume these are proxy measures of fitness).  Whether this approach is valid or not depends on the question you are asking.  If you want to know anything about social behaviour it is not.  The big problem with many writers in the social sciences is they think the indirect fitness part is much less important than it is…

Indirect fitness, is the number of offspring that others produce as a result of the individual helping them. The number produced it weighted by the relatedness between them.


I'll have to discuss relatedness in detail in the future – relatedness in evolutionary biologly is a statistical measure of sameness – it can be positive or negative (its not right to think of it as equivalent to genealogical kinship)...indirect fitness effects are often significant, even in large groups.

Thoughts on the Great Confusion

In the future, I’ll write more about the different ways you can model natural selection and the different ways that you can get cooperative behaviours arising from it.  One thing I'll say now.  Its a terrible shame how much work is being re-invented/misinterpreted due to these misunderstandings.

For example,  many of the recent models of human cooperation use a between-within group selection approach which often makes it very hard to understand whether the behaviour being studied is altruistic or mutually beneficial, spiteful or selfish.   I've seen models with statements like "we examine a model of human cooperation evolving between unrelated individuals" that actually works because of the indirect fitness benefits (so it relies on relatedness)... the way the maths is done (considering evolution in terms of between and within group selection) makes this fact obscure. Knowing why models work is obviously important because otherwise the model conclusions could be misapplied to real-world situations where they could not hold.  I’ll write more on this in the future.

Just to stress, in these models the underlying process is identical to that which may be examined in a model a biologist typically uses, the way you do the maths is a matter of preference.  However all to often, people say that by modeling the process differently they are talking about a different process (making a distinction between a group or individual level selection process).  This is just not the case, no matter what models you use (gene-level, individual inclusive fitness or between-within group selection models, it should always be straightforward to get back to the Price Equation.   The reason the biologists have settled mainly on one approach (doing models from an individual perspective) is because they have found them to be the most useful - offering more intuitive results that can readily be tested and allowing more complex questions to be considered.

OK, that’s enough chat from me. To conclude I re-stress that evolutionary biologists do NOT think organisms are individual fitness maximisers!

Thanks for reading, Claire



Comments

Gerhard Adam's picture
Very good article.  I'm glad to see that you've addressed many of the issues of concern.

"It has been shown formally (with maths) that Genes (i.e. all copies of a particular Gene) can be accurately described as maximsers."

No.

If you do the maths, as you suggest, you will find that genes always behave as though they are rare in the population. This is different from a particular gene acting for its collective good, and hence the good of a group sharing that gene. It instead leads to individuals caring for their immediate family.

The maths is a bit tricky to follow. I recommend doing a few exercises by hand -- that's what I needed to do to convince myself. Dawkins kind of glosses over the explanation in the Selfish Gene but it is a point he is careful to make, and I must admit the maths in Hamilton's paper is a bit over my head.

Yes, I don't like rational economics either. This is not the solution, however. Keep searching.

clairebrenner's picture
Hi,

Thanks for your comment.  I refer you to these two articles which provide a summary of how you can formally link natural selection and optimisation.

Grafen, A. 2007. The formal Darwinism project: a mid-term report. Journal of evolutionary Biology 20, 1243-1254.
Grafen, A. 2008. The simplest formal argument for fitness optimisation. Journal of Genetics, 87, 421-433

 If you go to Alan Grafen's website you can download the other papers related to this project (ones that specifically consider optimisation of the gene, inclusive fitness and the lastest on groups ("capturing the superorganism").

Could you explain why you reject this body of work or tell me what maths you did that convinced you this idea is wrong? 

Hope to have your reply
Claire

Certainly natural selection is optimization of some suitably defined fitness. I have no problem with that.

I am saying you may have misunderstood indirect fitness. You've at least not given a proper definition of it in your article (so far as I can see, sorry if I missed it). That is, a value r, such that r for the individual is 1 (direct fitness), r is 0.5 for children and siblings, 0.25 for grandchildren, and so on and so forth (indirect fitness).

A possible reading of your article is that you think r=1 for individuals that share the gene, and zero otherwise. Again, apologies if I have misread it.

A basic definition of r that works for humans, and most animals we encounter, is not too difficult. One only wanders off into the more ethereal realms of mathematics for insects that get up to weird stuff, or, to quote Gardner and Grafen "rather special circumstances" such as groups of clones, or where the circumstances are such that the success or each individual depends solely on the success of the group and not on any opportunities they might have to betray it to the advantage of themselves and their close relatives.

Gerhard Adam's picture
That is, a value r, such that r for the individual is 1 (direct fitness), r is 0.5 for children and siblings, 0.25 for grandchildren, and so on and so forth (indirect fitness).

This is the first problem with this whole concept.  Unless it can be demonstrated that animals are capable of recognizing an "r" factor, this is all irrelevant.  We already know that in cases of cooperative social groups and altruistic behaviors that such gradations of behavior don't occur, so the entire concept of a relatedness factor is highly suspect (except as a theoretical viewpoint that might be able to gain insight into how it evolved).

If an egg or animal pops out of your vagina, there's a 100% likelihood you are related to it with r=0.5. If you pair bond to a female, have lots of sex with her, drive off potential competitors, and then one day she's looking after a small animal, there's a fair chance you are related to it with r=0.5. And so on.

If you drop seeds from your branches then there is a good chance that seedlings that sprout near you are your children. If you spread seeds further afield, this is less likely. And so on.

So in these situations animals and plants have a bunch of instinctive behaviors (ie determined by genes) that cause them to act as the theory predicts. Maybe they don't consciously know the r values, but they act as they would if they did.

Gerhard Adam's picture
Except that it isn't true with respect to behaviors.  You can't differentiate between r = 0.5 because of relatedness versus r = 0.5 simply because of familiarity. 

The male can almost never be 100% guaranteed of paternity, so to suggest that this is an evolved trait is really a stretch.  Phrases like "fair chance" and "likelihood" are not the basis for suggesting a mathematical models, unless you want to base it on probabilities.

However, beyond the simplistic parent/offspring, how do you determine an "r" value < 0.5 and with what degree of reliability?  The "r" value suggests that genetics will always trump familiarity which simply isn't true. 

The other problem is that these relationships are of limited value since in social animals, it is often the offspring that are driven off to avoid inbreeding, which tends to create a greater degree of cooperation between unrelated individuals (i.e. the social group) versus those that have a relatedness factor.  Bear in mind that even the eusocial bee colonies can't differentiate between a genetically related queen or not (when properly introduced).  The best that can be said, is that the genes are pheromone-related triggers, but they certainly aren't based on genetic relatedness.

Except in the simplest circumstances, I don't see the "r" value as providing anything useful and it is virtually impossible to separate it from coincidence. 

Yes, this is all about probabilities.

And yes, sometimes it goes wrong... a father cares for a child that isn't his, a cuckoo lays an egg in another bird's nest and it is raised by that other bird, a queen bee wanders into the wrong hive, etc. It's all about genes playing the odds. [Usual disclaimer: genes cause effects as though they are playing the odds as best they can, this is just an analogy that helps explain the model. The model itself merely describes expected changes in gene frequencies over time.]

And yes, in social animals with big brains other effects come into play. Once you can recognize individuals, you can start playing you-scratch-my-back-I'll-scratch-yours games (repeated prisoner's dilemma and all that) and maybe funkier things beyond that.

clairebrenner's picture
Hi,

Thanks for your comment.  I've highlighted a section of my article below where I mentioned relatedness and indirect fitness...

Indirect fitness, is the number of offspring that
others produce as a result of the individual helping them. The number
produced it weighted by the relatedness between them.



I'll
have to discuss relatedness in detail in the future – relatedness in
evolutionary biology is a statistical measure of sameness – it can be
positive or negative (its not right to think of it as equivalent to
genealogical kinship)...indirect fitness effects are often significant,
even in large groups.



I said I'd write about it more in the future - but I would disagree with you that I've suggested here r=1 for individuals that share the same gene.  Relatedness is a really big issue - I think I'll write a whole separate article about it to go through it all.   The coefficient of relatedness (r) is a statistical concept, describing the genetic similarity between two individuals, relative to the average similarity of all individuals in the population. (For the maths-heavy formal explanation see Grafen, A. (1985). A geometric view of relatedness. Oxford Surv. Evol. Biol. 2, 28-89.)

I recommend you read these papers which explain how cooperation can occur (and the challenges of kin recognition, paternity certainty etc that later comments mention):
West, S.A., Griffin, A.S.&Gardner, A. (2007) Evolutionary explanations for
cooperation
. Current Biology, 17, R661-R672.
West, S.A., Griffin, A.S. & Gardner, A. (2007) Social semantics: altruism, cooperation,
mutualism, strong reciprocity and group selection
. Journal of
Evolutionary Biology
20, 415-432.

As I say, give me a week and I'll write a proper article all about relatedness.

Thanks for your interest,
Claire

"The coefficient of relatedness (r) is a statistical concept, describing the genetic similarity between two individuals, relative to the average similarity of all individuals in the population."

This is what I was looking for, especially the bit about it being relative. It's not simply the number of genes shared, its the excess over and above a background level.

If I seem a bit touchy, it's because I've seen people misinterpret r in the past, in order to support old fashioned versions of group selection. Even a correct and well written explanation is easily misinterpreted.

It's a difficult topic. I shall look forward to your next article.

clairebrenner's picture
That's OK Paul, the misunderstandings about relatedness and inclusive fitness are widespread.  I'm reminded of this article:
Grafen, A. 1982. ‘How not to measure inclusive fitness’. Nature,
298, 425-426.


and you might be interested in this text book chapter:
Grafen, A. 1984. ‘Natural selection, kin selection and group
selection’. Chapter 3 of Behavioural Ecology, 2nd edition (ed.s J.R. Krebs
& N.B. Davies), 62-84. Blackwell Scientific Publications, Oxford.


(P.S. I'm aware people may think I'm obsessed with Grafen given the number of papers of his I'm referencing - I'm not! His work is awesome but more importantly, he has lots of accessible papers free to download...if you want links to papers by other authors that are only available with a subscription I can also give them).

This is physics :) please more equations. Can you give some more background on relatedness?

Here's an inequality, will that do?

rb > c

http://en.wikipedia.org/wiki/Inclusive_fitness

If you are especially keen for equations, try some of the Grafen papers Claire El Mouden mentioned, or for the start of it all:

Hamilton, W. D. 1964 The Genetical Evolution of Social Behaviour I and II, J. Theor. Biol. v7, pp 1-16, and 17-52

clairebrenner's picture
Hi Brian,
Someone who likes maths! Great :) I'll discuss relatedness more in a future article, but if you want to dig into the maths, check these out (I'm limiting myself to articles you can download online and do not need journal subscriptions for):

1. Steve Frank (1998) Foundations of Social Evolution. Princeton University Press
This book gives a mathematical overview of evolutionary theory, with a focus on social behaviours - a lot of the maths is pretty hard to follow, but the first chapter that explains the price equation and natural selection is quite accessible.

2. Gardner A (2008) The Price equation. Current
Biology
18, R198-R202.
This nice, well written little paper explains the price equation in detail - which is fundamental.

I'd not recommend Hamilton's 1964 papers - they are pretty hard to follow, and Steve Frank's book explains it more clearly.

This covers the core maths of how natural selection operates (along with the Grafen papers).  If you have access to a library and like the original work, Fisher's 1930 Genetical Theory of Natural selection is also well written and hugely important.

The papers I mentioned in the previous comment (Evolutionary explanations for Cooperation and Social Semantics) have lots of references to theory.

After that, the maths is about different modeling techniques to study how natural selection operates (ESS, game theory, neighbourhood modulated fitness approach etc)...if you want to know more let me know!

Claire

clairebrenner's picture
and Brian, can you elaborate on why you say this is physics?

Thanks for the links because evolutionary biology is my new favorite subject to study. A quick question:

By individual fitness maximizers do you mean direct fitness? The individual wants to maximize their inclusive fitness, a combination of direct fitness (number of offspring) and indirect fitness (offspring assists), right?

I noticed you mention the lack of a good way to distinguish between Gene and gene. Just a hunch:

Gene = macrostate
gene = microstate
fitness = multiplicity (the number of microstates corresponding to the same macrostate)

Also I did not see r, b and c defined I assume r is relatedness....

that was me I suppose I should just register so as to maximize memetic fitness

Steve Davis's picture

Claire, a few comments if I may:
 You said that Dawkins now wishes he called his book “The Self Interested Gene”. Just because he said that does not mean he meant it. He first made that suggestion in the beginning of the intro to the 30th edition, but by the end of the intro he was back referring to "our selfish genes." He loves the term.



It is a mistake to personify genes as Dawkins has done, and as you are doing in this article. If selfishness does not mean selfishness, as you admit here, then don't use the word. I doubt that "self-interest" is even applicable to genes. All of their functions are directed to and controlled by the cell, so to talk of them having any other significance or qualities unrelated to cell function needs to be justified.
You've said that The "selfishness" here means maximsing its own transmission, but the gene does not control its own transmission, that function is controlled by the cell.

You've said that Cooperation is expected because we share copies of the same "selfish" Genes. That is based on your incorrect view of genes as I've shown, but it also overlooks the cooperation that must have occurred at the origin of life between unrelated molecules or replicators. Your statement implies one source only for cooperation, which is incorrect, and your statement is based on an assumption of gene transmission that is incorrect.

The statement that "natural selection maximises gene fitness" is not correct. All that natural selection maximises in regard to genes is the number of a particular gene in a population. A number does not equate to fitness. It is inappropriate to talk of fitness for an entity which, although it can be reproduced, cannot (in normal situations) reproduce itself. 



clairebrenner's picture
Hi Steve,
Thanks for your comments, here are my responses:

1. Personification of genes as selfish
I entirely agree with you that calling Genes selfish has been unhelpful, has led to confusion and implies some emotive moral dimension to genes.  I dont normally ever describe Genes as selfish - in my work (talking with colleagues int he department) we dont use this phrase.   If you look at any of the papers I've been giving links to, you wont find the phrase used.  Its a shame that outside biology the terminology used by a popular science book written over 30 years ago is so dominant.  I used the term selfishness in the article as I was trying to engage non-biologists and I was referring to the previous articles that have recently been written on selfish genes on his site.  So I'm sorry this annoyed you but I think we broadly agree (selfishness is an unhelpful term, and its widespread use has led to misunderstanding about what dawkins was trying to get at).

One last thought on that - Dawkins has not been an active researcher for 20 years.  The field has moved on hugely since the 1970s, and its a shame that people outside the field do not engage with the primary literature, but instead attack the whole field based on reading pop-sci books.  In defense of Dawkins though - he did recognise his work was misunderstood - he wrote this in 1979 - many of the misconceptions he refer to are still valid today.

Dawkins, R (1979) Twelve Misunderstandings of Kin Selection. Zeitschrift für Tierpsychologie 51, 184-200.

2. Cell function controls genes

Yes but a cell functions because of the genes it contains - you must know of examples where cells do not function properly as they have faulty genes (or have I not got your point?)

3. Cooperation occurs pre-genes
Yes it does, indeed cooperation being achieved so completely new levels of individuality can be said to occur is fundamental.  I've been talking about genes here as that was the focus of the article, but natural selection can operate on more than just genes.  The origin of life is still not fully understood, but it seems RNA proteins were the precursors to genes.   This is discussed in Eors Szathmary and John Maynard Smith The major evolutionary transitions. Nature 374: 227-232. or their book of the same name (1998)

4. Maximisation of gene fitness is wrong.
There has been lots of misunderstandings about what biologists mean here.  As you probably know, Ronald Fisher in the 1930s showed that genes that are associated with greater individual fitness are predicted to increase in frequency, and hence the direct action of natural selection leads to an increase in the mean fitness of the population. This result is termed the ‘fundamental theorem of natural selection’, and was intended to capture the process (natural selection) and the purpose (maximisation of individual fitness) of adaptation.

Fisher’s theorem was frequently misunderstood by the population genetics literature prior to the late 1980's. The first misunderstanding was the that fundamental theorem purports to describe total evolutionary change – it does not, and instead focuses upon the partial change in mean fitness, due to changes in gene frequency, that can be ascribed to the direct action of natural selection, neglecting other non-selective effects that are collectively termed ‘deterioration of the environment’. The second misunderstanding was that the fundamental theorem concerns population fitness – it does not, and instead describes changes in individual fitness, which is expressed relative to the rest of the population. The misunderstandings are discussed here:


Grafen, A. 2003. ‘Fisher the evolutionary biologist’. Journal of  the Royal Statistical Society: Series D (The Statistician), 52, 319-329. View Text in PDF


In the formalising Darwinism project Grafen has suggested that a better way to capture the optimising action of natural selection is to demonstrate an isomorphism between gene frequency dynamics and an optimisation program, which he has done by forming an ‘individual as maximising agent’ (IMA) analogy to evolutionary genetics. Maynard Smith’s well-known ESS approach is based upon the assumption that individuals behave so as to maximise fitness - this central axiom of evolutionary game theory is justified because it is a result that derives from population genetics theory



Hope that helps,
Claire


Steve Davis's picture

Claire, thanks for your detailed response, and for the links, I appreciate it.
You’ve said that you agree that Dawkins’ personification of genes has been unhelpful, and that “its widespread use has led to misunderstanding about what dawkins was trying to get at.”
I’m afraid there’s more to the problem than that, the problem, broadly, is that selfish gene theory gives more significance to genes than exists in reality.
 
You’ve said “its a shame that people outside the field do not engage with the primary literature, but instead attack the whole field based on reading pop-sci books.”  The reason I focus on Dawkins, though not exclusively, is that it seems best to me to attack what I see as misconceptions at the source, rather than wade through the material that’s followed, trying to separate fact from fiction. You’ve implied with this statement that the unacceptable material in The Selfish Gene has been left behind, but I hope to show that this is not the case.


You’ve conceded that cell functions control genes, but then go on to talk of  “examples where cells do not function properly as they have faulty genes”. That is not what we are talking about. This is not an argument about isolated or uncommon actions at the gene level. One of the blind alleys to come out of selfish gene theory was the fallacy that genes are independent and in control. In general terms, overwhelmingly, they are neither.


In response to my point that talking of gene fitness was inappropriate, you said “There has been lots of misunderstandings about what biologists mean here.  As you probably know, Ronald Fisher in the 1930s showed that genes that are associated with greater individual fitness are predicted to increase in frequency, and hence the direct action of natural selection leads to an increase in the mean fitness of the population. This result is termed the ‘fundamental theorem of natural selection’, and was intended to capture the process (natural selection) and the purpose (maximisation of individual fitness) of adaptation.”
That’s fine. But then you said, “The fundamental theorem …focuses upon the partial change in mean fitness, due to changes in gene frequency, that can be ascribed to the direct action of natural selection,..”
But that’s not correct, is it? The change in mean fitness is not “due to changes in gene frequency” at all. The change in gene frequency is a result of natural selection, just as the change in mean fitness is. The change in gene frequency occurs alongside the change in mean fitness, so it cannot be a cause.


This brings us back to the primary problem. This misunderstanding is typical of the inappropriate significance that selfish gene theory gives to genes as a factor in evolution. There’s no point in saying, (and you are not the first) that biology has moved on and no-one talks of selfish anymore. The associated misconceptions are alive and well, and the public has a perception of evolution that is dominated by the theory. So until people in your position come out and declare the theory as a whole to be misleading, the discussion will continue.





clairebrenner's picture
Hi Steve,

Before I try to respond, could you tell me how you define fitness?  It sounds like you do not agree with the current mathematical foundations of evolutionary theory - am I right?  If you disagree with Fishers fundamental theorem, do you also disagree with the Price equation, Hamilton's rule and Grafen's work on optimisation?  If so, I dont think you and I will agree on much! I'd be interested in your views on the "Evolutionary Explanations for cooperation" paper which covers much of what we are talking about here.

Best wishes,
Claire

Steve Davis's picture

Sorry about the confusion Claire, but I took fitness to mean the capacity of an individual to reproduce, so I would take mean fitness to be reproductive capability across a population. I think that's reasonable from your text. 


I've had a quick look at the Grafen paper on Fisher's theorem, and I don't have a great problem with it as expressed by Fisher, but at first glance it seems to me that others have added to it to change its meaning. I'll put some more thought into it.



Steve Davis's picture
I've just opened Evolutionary Explanations for Cooperation as you suggested and this hit me in the eye; As cooperation is in evidence throughout the natural world, there must be a solution to the problem. The only problem that needs a solution is the "current mathematical foundations of evolutionary theory" as you put it. There's no problem with cooperation, the problem is with a theory that deliberately excluded the behaviour on which life itself is based. So I guess that answers your question; I do not agree with the theory.

 



clairebrenner's picture
Woah Steve I'm surprised you jump to conclusions like this!  By problem here they mean "puzzle" - nothing negative like cooperation is not good - cooperation is a puzzle in the sense that for decades people wondered at the amazing levels of cooperation in the natural world and struggled to explain it using evolutionary logic.  Theory deliberately excludes cooperation?  I totally disagree with you - cooperation and social behaviour more generally is fundamental to evolutionary biology today - inclusive fitness (which by the way is also the base of modern group selection theory) is the maximand - not individual selfishness!  If you read the rest of this paper, it goes on to explain all the ways cooperation can evolve.  It seems you have a very strong (generally negative) conception of evolutionary biology, based I expect on 30 year old secondary sources - what you think about how theorists approach social behaviours bears no resemblance to the reality I know as an evolutionary biologist.  If your views are held by many I think its a real shame as form me understanding how complex structures like genomes or multicelled organisms or beehives evolved is wonderous and that's why I do what I do.  Look at even just the titles of the papers on Stu West's website - the Professor of Evolutionary Biology at Oxford - http://www.zoo.ox.ac.uk/group/west/pubs.html you'll see social behaviours are the central interest in evolution (and please dont think its because we are trying to explain away cooperation as self-interest!)  Evolutionary theory is tried and tested so I dont think you can reject it so casually (its a predictive theory that is supported by observations in the natural world and lab experiments) and it can explain all social behaviour.

Best wishes
Claire

Just a small note, probably not original, on "proxies" for kin selection as it relates to inclusive fitness: Since we evolved in small groups with a high degree of relatedness, might not we be programmed to behave altruistically towards the members of whatever group we perceive we grew up in?

In other words, our "feelings" of loyalty to the group we grew up in may not correspond to actual relatedness post hunter/gatherer times.

Let me amend the above: Might we not be programmed to behave altruistically towards the members of whatever small group we find ourselves in, not just those groups we grew up in: all small groups in our Paleolithic past were made up of closely related individuals.

I think Dawkins argued in favour of this in The Selfish Gene.

This is of course a kind of evolutionary error, and evolution should fix it eventually now that we mostly live in cities and spend much of our time with only very distant kin. It might not even take very long to make this correction -- it's just a matter of tweaking a few parameters.

Personally, I would find this disappointing, but my feelings don't affect what is real and what is not. If this is what is going, then that's just how it is. But I don't think we should stop searching for alternative explanations just yet.

Gerhard Adam's picture
The problem, as Steve has pointed out, is that altruism is viewed as a separate and distinct act from cooperation.  However, if one considers the Iterated Prisoner's Dilemma as a simple example, it has been amply demonstrated (Axelrod, The Evolution of Cooperation), that cooperate will emerge and be an Evolutionarily Stable Strategy (ESS).

When one examines the Iterated Prisoner's Dilemma the fundamental rule of the "Tit for Tat" strategy is that the first action must be cooperative (without knowing what your opponent will do).  If your opponent defects that you've taken the hit, but in repeated encounters defections recur and eventually it evens out or the entire routine degenerates into iterative rounds of defection.  Using slightly modified strategies (like Pavlov) can cause rounds of forgiveness and even exploitation, depending on what your opponent last did.

However, unless your opponent likes being in a death spiral, the point of the first round cooperation is to elicit cooperation and maximize the payoff everyone gets.  Without getting into all the permutations, the point is that defectors tend to become isolated with the cooperators gaining the largest consistent payoffs.

The key point in this, is that the first move MUST be altruistic, since you must trust (or hope) that your opponent won't betray you and defect.  It is only by this means that cooperation arises.  Therefore we know that any cooperative society must have altruism as a default state to have arisen in the first place.  What lends cohesion to the group is the "trust" element which must be present for a group to be successfully cooperation.  This is why anyone (even in modern times) that is perceived as betraying a trust is considered to have committed a serious and potentially unforgiveable breach of social protocol.

While kin selection or relatedness may have played a role in certain social animals, this is insufficient to create a society.  That dependency requires that numerous unrelated individuals must be capable of coexisting in a trusting environment, since this represents the pool of potential future mates. 

Steve Davis's picture

Claire, here's some answers to your questions.
I think your treatment of the theorem, that is, the first section given in the quote above, is reasonable. But that is not Grafen's reading of it, he's taken it further and committed a serious error. I'll deal with that in the future.


As for the mathematical foundations of evolutionary theory, and you've mentioned Price, Hamilton, my initial thought is that the whole structure is flawed, that they are making the same mistake as Grafen, confusing outcomes with causes. But I've yet to convince myself of that, so again, that's for the future.


Now if you can respond to my questions, how can we talk of fitness for genes when they do not reproduce themselves, and how can a change in gene frequency cause a change in mean fitness when both are natural selection outcomes, then we can look forward to your next article.
Thanks, Steve 



clairebrenner's picture
Hi Steve,

I'm a bit confused what your issue is with the definition of fitness.  I think you are confusing genes and Genes.  By this I mean a "gene" is the individual copy of a gene that is in a particular individual (e.g. I will share a copy of most of the genes you have in you) and "Gene" by which I mean the unique packet of information (which will exist as a single copy in a mutant, up to billions of copies in multiple species).

Fitness is the change in Gene frequency (not gene frequency) relative to the rest of the Genes in the population.  Fitness is a measure of natural selection's effect on Gene frequency - if the frequecy of a Gene is increasing as it helps individuals who have a copy of it reproduce it has a positive fitness, if it is decreasing in frequency, it has a negative fitness.  The increase and decrease are tracked across generations (as any change in Gene frequency is due to individuals with different Gene copies reproducing at different rates). 

Note "Evolution" and "Natural selection" are not the same thing.

Natural selection is the change in Gene frequency in a population over time due to the Gene fitness (i.e the change in reproductive ability of individuals attributable to their genes)

Evolution is the total change of Gene frequencies = Natural selection + what Fisher called "Environmental Degradation" (I dont like his term) - this is everything else that affects the frequency of Genes in a population e.g. transmission effects (haploid, diploid, horizontal etc) and ecological factors (geographical isolation, disturbance events etc.).

So Steve, yes genes don't reproduce - individuals do - but in reproduction they pass on their gene copies to their offspring and as individuals reproduce at different rates, and their offspring survive at different rates this means the total number of gene copies of any one Gene will fluctuate over time.  The frequency of a Genes in a population is just a measure of how many copies exist and fitness is a measure of how the numbers of copies of genes are changing over time due to their effect on the reproduction and survival of individuals.

Hope that helped.
Claire

Steve Davis's picture
Thanks Claire, I'll get back to you.

Interesting. So fitness is a measure of the rate of change of gene frequency of a particular allel in relation to other allels at a particular moment in time? Sort of like the first deriviative with the steeper the slope of the tangent at any point in time the fitter? Interesting. It means the fitness of a gene (allel) can vary drastically from time to time, depending on the environment and how it changes?

So we need a better name for fitness. How about, "propensity to multiply"?

Steve Davis's picture
Claire, I'm still not happy. You said Fitness is the change in Gene frequency (not gene frequency) relative to the rest of the Genes in the population.  That is not correct, as you have defined Gene fitness as a number. Fitness is a concept, not a number.
Fitness is a measure of natural selection's effect on Gene frequency - if the frequency of a Gene is increasing(,) as it helps individuals who have a copy of it reproduce (then) it has a positive fitness, if it is decreasing in frequency, it has a negative fitness. That is also not correct. Natural selection does not produce fitness outcomes, fitness produces natural selection outcomes. The fitness of individuals, (their genetic make-up only in this case,) exists before natural selection targets and removes the less fit. All that natural selection has done is change the proportions of the Genes, it has not made individuals fitter.

jtwitten's picture
Relative fitness, which is what is being referred to here, can be expressed as a number.  Fitness in general is a concept.

Reread what you have quoted.
Fitness is a measure of natural selection's effect on Gene
frequency - if the frequency of a Gene is increasing(,) as it helps
individuals who have a copy of it reproduce (then) it has a positive
fitness, if it is decreasing in frequency, it has a negative fitness.


Nothing in here says that selection produces a fitness outcome for an individual.  Over simplified example.  The equation of a line: y=mx+b, where m is the slope of the line or the amount of change in y due to a change in x.  If one imagines, for the moment, that x is time and y is gene frequency, one can see what is meant.  The change in gene frequency due to x is measure as m, the slope.  This is the relative fitness: a measure of the change in gene frequency due to differential fitness between alleles.  It describes the relationship between the two things.  If we know y and x over a range of values, then we can determine m.

Steve Davis's picture
Josh, if fitness is a measure, (as Claire put it) then fitness is a number, and therefore cannot be a concept of fitness. Your statement, that relative fitness can be expressed as a number, is true. But there's a vast difference between fitness and relative fitness, so there's no room for lax terminology.

As I understand it, biological fitness is the reproductive capacity or success, of an individual. The relationship between fitness and relative fitness can be expressed as Fitness produces natural selection outcomes, natural selection produces relative fitness outcomes. (Known henceforth as Steve's First Law of Natural Selection, because, well, there's bound to be more to follow!) This expression shows the gap between fitness and relative fitness; they're not even on the same level of consideration.

The general lack of care in dealing with this matter can be seen in Alan Grafen's The Formal Darwinism Project mid-term Report where Grafen went to some trouble to define fitness: 
The central elements of the concept of biological fitness seem to be:
1 Each individual should have a number that is its fitness, and this number should represent the extent of its contribution to the gene pool of the species.
2 Fitness should therefore be on a ratio scale: an individual with double the fitness should make double the contribution.
Etc..

Is this a redefining of fitness to suit an agenda? It's certainly a blurring of the distinction between fitness and relative fitness, as Grafen is describing relative fitness as biological fitness. Like you said, relative fitness can be expressed as a number, fitness in general is a concept. Furthermore, fitness I think, is a general concept. So if people want to study or theorise about frequency of genes that's fine, but don't call it fitness.

Add a comment

The content of this field is kept private and will not be shown publicly.
  • Allowed HTML tags: <sup> <sub> <a> <em> <strong> <center> <cite> <code> <TH><ul> <ol> <li> <dl> <dt> <dd> <img> <br> <p> <blockquote> <strike> <object> <param> <embed> <del> <pre> <b> <i> <table> <tbody> <div> <tr> <td> <h1> <h2> <h3> <h4> <h5> <h6> <hr> <iframe>
  • Lines and paragraphs break automatically.
  • Web page addresses and e-mail addresses turn into links automatically.
CAPTCHA
If you register, you will never be bothered to prove you are human again. And you get a real editor toolbar to use instead of this HTML thing that wards off spam bots.