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Hamilton - fitness mutualisation

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General fitness, health and nutrition
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6 February 2004
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John Edser
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  1. Quoted message said:

    JM:- Immature forms are seen by John as acting on behalf of the parents.

    Quoted message said:

    JE:- What else could they possibly do?

    Quoted message said:

    JM:- Since in most species, the bulk of development

    Quoted message said:

    must be viewed as taking place on behalf of the parent.

    Quoted message said:

    JE:- Absolutely. This may produce bizarre syndromes. Maybe cot death in infants is a way genes in
    children kill off excess immature forms. Parents can serially reproduce. Thus they may benefit by
    the removal of excess infertile forms that they wish to get rid of now and replace later on.

    Quoted message said:

    JM:- By these rules, genetically caused infertility is always parentally determined. It is
    logically impossible for it to be self-determined. (This does not apply to early menopause - that
    is self-determined, I guess).

    Quoted message said:

    JE:- It is impossible for the egg to be selected without a chicken and it is impossible for the
    chicken to be selected without an egg.

    JM:- I am happy to find that I have interpreted John right, so far.

    Quoted message said:

    JM:- There are some other curious aspects to this. What a Hamiltonian would call parent-child
    conflict must be viewed as a conflict between the two parents in John's accounting. As a
    consequence, we might expect the children of strictly monogamous parents to be better behaved. :-}

    Quoted message said:

    JE:- Please elaborate.

    JM:- Trivers, I believe, has written about parent/child conflict - for example, the child does not
    appreciate being weaned. Trivers interprets this as a conflict of interest between child and mother.
    However, Edser believes

    maturity. Therefore, weaning conflict is a conflict between the interests of the mother and the
    interests of the father (in whose interests the child is also acting). The father wants this child
    to be well fed. The mother, on the other hand, thinks that the child is ready to start eating solid
    food, so that she can get pregnant again (perhaps with a different father). However, in a monogamous
    species, the interests of father and mother are the same, so the child is expected to align with
    those common interests.

    JE:-

    because they have evolved opposed_ reproductive strategies.

    at all, then these opposed reproductive strategies must be resolved. This resolution
    requires a ritual,
    i.e. a way of winning and losing using "a game". I will elaborate on this further down.

    What is being maximally reproduced within Darwinism are not genes, cells, organs or even organisms,
    just _fertile_ organisms. It is the mutualisation of _opposed_ strategies that provides an absolute
    but not necessarily equal larger fitness gain to each mutualised parent. This is what the process of
    fitness mutualisation is all about: setting up games that provide absolute gains for all. Everyone
    is a winner, but everyone has to pay a cost (e.g. losing a game) which is much less than the
    mutualised gain (everybody wins) but more than cost incurred by just going it alone (losing the
    war). Also, because mutualised gains are not necessarily equal, natural selection still operates
    when each parents absolute fitness is compared to every other, within one Darwinian population. As
    far as inheritance is concerned the assumption is that parental absolute fitness is a complex
    heritable trait.

    Neo Darwinian game theory does not include any measure for absolute parental fitness. Like
    Hamilton's rule, these games only compare a relative with yet another relative so they can only
    produce an _arbitrary_ winner allowing selection for cheating. In a mutualised game, cheating
    provides a relative fitness gain at an absolute fitness loss to all players including the cheater,
    so it is selected against. Because no absolute measure of each player's fitness exists within Neo
    Darwinism, the absolute cost of winning by cheating cannot be measured so it remains invisible
    allowing cheating. The only thing that is visible to Neo Darwinism is the winner in just
    _relative_ terms.

    Males take more risks and mostly die earlier compared to females but are amply compensated by having
    a potentially higher absolute fitness using polygamy, if and only if, these children are raised to
    fertile adulthood. For females their fecundity (the reproduction of immature forms) is determined by
    how many babies they can have at birth

    it is for males. Like the males, only the number raised to fertile adulthood count as valid fitness
    units. IMHO females are better served by serial monogamy (exchange poorer males for better ones in
    serial order) and males by polygamy (cram as many females as you can on one territory). Thus the
    chess board is set and the game begins: males are black (more aggressive) and females white (more
    cooperative) and they must play to win. The resolution of the game provides a relative winner and a
    loser where however, both win, _absolutely_. Those that do not play the mutualised game forgo HIGHER
    gains. Their costs are lower but their gains are lower so they are selected against. Those that
    cheat to win a mutualised game win relatively but lose _absolutely_, so cheating is selected
    against. The problem within a mutualised game is to find a point of mutualisation using
    conventionalised competition. This is something like a "market price" where the seller selfishly
    maximises profits and buyer selfishly minimises costs. Obviously the extreme conditions where the
    buyer has a zero cost and the seller makes an infinite profit are not an ESS (evolutionary stable
    strategy) and is the simple reason why selfishness is not the same as mutualism. Mutualists balance
    seller and buyer so both make an absolute gain. For the seller, relative profits are measured every
    trade but absolute profits are a _total_ of trades made over a defined time period. Thus the seller
    can only maximise his profits when profit*turnover within a defined time period INCREASES. Just
    increasing relative profits, i.e. the profit per trade, can REDUCE abolute profits because selling
    at a higher price may reduce the numbers sold over a defined time period. In This instance it pays
    the seller to REDUCE his price in order to INCREASE his absolute profits. For the buyer, pushing the
    price below a mutualised price sends sellers to the wall so the goods and services just disappear.
    Thus for seller and buyer finding the mutualised price is for everybody's benefit. Here capital is
    funnelled into goods and services demanded by consumers at an optimal rate. The capitalist system
    only works when sellers and buyers are free to find a mutualised price. Parents use the same logic
    to mutualise their absolute fitness counts.

    JM:- John's "accounting rule" that attributes the child's actions to the parents creates a more
    complicated conceptual structure than does Hamilton's method of accounting which has every organism
    (even immature and infertile ones) acting in its own interest. On the other hand, Hamilton's idea of
    "inclusive fitness" is much more complicated than John's. Hamilton needs his fitness to be
    inclusive, otherwise an infertile form would have no fitness.

    JE:- OK.

    JM:- Those who are familiar with the philosophical foundations of economics and game theory may
    worry about how a child can be said to balance the interests of both parents, giving equal weight to
    each. In critiques of the ethical doctrine of utilitarianism, for example, theoretical economists
    object to the idea of "equal weight". Those objections may well apply in economics, where utility
    functions are freely chosen. The objections do not seem to apply in evolutionary theory, because
    Nature is assigning the utility function. (PS. If this paragraph makes no sense to you, don't worry
    about it. It is addressed only to people who understand the distinction between cardinal utility
    theory and ordinal utility theory.)

    JE:- The above is important. Please explain it in a more simple way so that sbe readers can more
    easily understand it and identify what your explaining within evolutionary theory

    Kindest Regards,

    John Edser Independent Researcher

    PO Box 266 Church Pt NSW 2105 Australia

    [email hidden]

  2. "John Edser" <[email hidden]> wrote in message news:<[email hidden]>...

    Quoted message said:
    Quoted message said:

    JM:- Immature forms are seen by John as acting on behalf of the parents.

    Quoted message said:

    JE:- What else could they possibly do?

    [snip]

    Quoted message said:

    JM:- There are some other curious aspects to this. What a Hamiltonian would call parent-child
    conflict must be viewed as a conflict between the two parents in John's accounting. As a
    consequence, we might expect the children of strictly monogamous parents to be better
    behaved. :-}

    Quoted message said:

    JE:- Please elaborate.

    JM:- Trivers, I believe, has written about parent/child conflict - for example, the child does not
    appreciate being weaned. Trivers interprets this as a conflict of interest between child and
    mother. However, Edser believes

    Quoted message said:

    maturity. Therefore, weaning conflict is a conflict between the interests of the mother and the
    interests of the father (in whose interests the child is also acting). The father wants this child
    to be well fed. The mother, on the other hand, thinks that the child is ready to start eating
    solid food, so that she can get pregnant again (perhaps with a different father). However, in a
    monogamous species, the interests of father and mother are the same, so the child is expected to
    align with those common interests.

    JE:-

    Quoted message said:

    because they have evolved opposed_ reproductive strategies.

    Quoted message said:

    at all, then these opposed reproductive strategies must be resolved. This resolution requires
    a ritual,
    i.e. a way of winning and losing using "a game". I will elaborate on this further down.

    What is being maximally reproduced within Darwinism are not genes, cells, organs or even
    organisms, just _fertile_ organisms. It is the mutualisation of _opposed_ strategies that provides
    an absolute but not necessarily equal larger fitness gain to each mutualised parent. This is what
    the process of fitness mutualisation is all about: setting up games that provide absolute gains
    for all. Everyone is a winner, but everyone has to pay a cost (e.g. losing a game) which is much
    less than the mutualised gain (everybody wins) but more than cost incurred by just going it alone
    (losing the war). Also, because mutualised gains are not necessarily equal, natural selection
    still operates when each parents absolute fitness is compared to every other, within one Darwinian
    population. As far as inheritance is concerned the assumption is that parental absolute fitness is
    a complex heritable trait.

    Neo Darwinian game theory does not include any measure for absolute parental fitness. Like
    Hamilton's rule, these games only compare a relative with yet another relative so they can only
    produce an _arbitrary_ winner allowing selection for cheating. In a mutualised game, cheating
    provides a relative fitness gain at an absolute fitness loss to all players including the cheater,
    so it is selected against. Because no absolute measure of each player's fitness exists within Neo
    Darwinism, the absolute cost of winning by cheating cannot be measured so it remains invisible
    allowing cheating. The only thing that is visible to Neo Darwinism is the winner in just
    _relative_ terms.

    Quoted message said:

    Males take more risks and mostly die earlier compared to females but are amply compensated by
    having a potentially higher absolute fitness using polygamy, if and only if, these children are
    raised to fertile adulthood. For females their fecundity (the reproduction of immature forms) is
    determined by how many babies they can have at birth

    Quoted message said:

    it is for males. Like the males, only the number raised to fertile adulthood count as valid
    fitness units. IMHO females are better served by serial monogamy (exchange poorer males for better
    ones in serial order) and males by polygamy (cram as many females as you can on one territory).
    Thus the chess board is set and the game begins: males are black (more aggressive) and females
    white (more cooperative) and they must play to win. The resolution of the game provides a relative
    winner and a loser where however, both win, _absolutely_. Those that do not play the mutualised
    game forgo HIGHER gains. Their costs are lower but their gains are lower so they are selected
    against. Those that cheat to win a mutualised game win relatively but lose _absolutely_, so
    cheating is selected against. The problem within a mutualised game is to find a point of
    mutualisation using conventionalised competition. This is something like a "market price" where
    the seller selfishly maximises profits and buyer selfishly minimises costs. Obviously the extreme
    conditions where the buyer has a zero cost and the seller makes an infinite profit are not an ESS
    (evolutionary stable strategy) and is the simple reason why selfishness is not the same as
    mutualism. Mutualists balance seller and buyer so both make an absolute gain. For the seller,
    relative profits are measured every trade but absolute profits are a _total_ of trades made over a
    defined time period. Thus the seller can only maximise his profits when profit*turnover within a
    defined time period INCREASES. Just increasing relative profits, i.e. the profit per trade, can
    REDUCE abolute profits because selling at a higher price may reduce the numbers sold over a
    defined time period. In This instance it pays the seller to REDUCE his price in order to INCREASE
    his absolute profits. For the buyer, pushing the price below a mutualised price sends sellers to
    the wall so the goods and services just disappear. Thus for seller and buyer finding the
    mutualised price is for everybody's benefit. Here capital is funnelled into goods and services
    demanded by consumers at an optimal rate. The capitalist system only works when sellers and buyers
    are free to find a mutualised price. Parents use the same logic to mutualise their absolute
    fitness counts.

    JM:- John's "accounting rule" that attributes the child's actions to the parents creates a more
    complicated conceptual structure than does Hamilton's method of accounting which has every
    organism (even immature and infertile ones) acting in its own interest. On the other hand,
    Hamilton's idea of "inclusive fitness" is much more complicated than John's. Hamilton needs his
    fitness to be inclusive, otherwise an infertile form would have no fitness.

    JE:- OK.

    JM:- Those who are familiar with the philosophical foundations of economics and game theory may
    worry about how a child can be said to balance the interests of both parents, giving equal weight
    to each. In critiques of the ethical doctrine of utilitarianism, for example, theoretical
    economists object to the idea of "equal weight". Those objections may well apply in economics,
    where utility functions are freely chosen. The objections do not seem to apply in evolutionary
    theory, because Nature is assigning the utility function. (PS. If this paragraph makes no sense to
    you, don't worry about it. It is addressed only to people who understand the distinction between
    cardinal utility theory and ordinal utility theory.)

    JE:- The above is important. Please explain it in a more simple way so that sbe readers can more
    easily understand it and identify what your explaining within evolutionary theory

    JM:- I'm not sure exactly what you are looking for, since I am not sure that it does apply to
    evolutionary theory, but I will try.

    Economists talk about a quantity called "utility" that has some similarity to the quantity that
    evolutionary theorists call "fitness". John finds, picks, and eats some strawberries. Economists
    would say that John has incrementally added to his utility. Evolutionists, noting the nutritional
    value of the strawberries, would say that John has incrementally added to his fitness. John got
    scratched up while picking the strawberries. Economists would say there was a decrement to John's
    utility from the scratches. Evolutionists would say that there was a decrement to John's fitness
    from the scratches.

    Which was greater, the increment from the eating, or the decrement from the scratches? An economist
    considers this to be an objective question. He answers by observing John's behavior. If John knew in
    advance that he would get scratched, and fetched the strawberries anyways, then the utility (to
    John) of the strawberries was greater than the disutility of the scratch. If Jim refuses to fetch
    strawberries under these conditions, then the disutility must be greater (for Jim) than the utility.
    John and Jim appear to disagree, but actually both are right. There are two different utility
    "scales" involved - JimUtility and JohnUtility. John is the sole arbiter of JohnUtility and Jim is
    the sole arbiter of JimUtility. The economic theorist has no basis for judging between the two.

    An evolutionary theorist looks at it differently. Eating the strawberries increased the expected
    number of offspring John succeeds in producing. But getting scratched decreased it. It is still
    an objective question which is greater, but John's preferences have nothing to do with it.
    John's instincts could be wrong. If the scratching does more harm than the eating does good,
    then an evolutionary theorist would say that John had lowered his fitness (produced fewer
    offspring) by fetching and eating the strawberries. The economist still thinks John was right to
    fetch - if offspring are not important to John, then so be it. The evolutionist might say that
    John made a mistake.

    Now, it turns out that economists have no way of comparing JohnUtility units to JimUtility units.
    That is, they cannot come up with an exchange rate between the two kinds of utility. It is possible
    that John and Jim can come up with a mutually agreeable exchange rate through trade and
    reciprocity, but the economists cannot compute and impose one. JimUtility is strictly incomparable
    to JohnUtility. Hence, any attempt by Jim and John to ally themselves according to Bentham's
    principles and both try to maximize the sum of JimUtility and JohnUtility is hopeless unless Jim
    and John first agree on some kind of exchange rate. The sum cannot be computed. We are trying to
    add apples and oranges.

    Evolutionists, on the other hand, believe that JohnFitness and JimFitness are measured in the same
    units. John gains exactly as much by raising one

    JohnFitness units from JimFitness units - we can just talk about fitness - plain and simple.

    All of this is irrelevant for most purposes in evolutionary theory. But, there are some cases where
    the fitnesses of one individual must be compared with that of another individual. For example, if
    Jim is an altruistic donor of fitness, and John is the recipient, then Hamilton's rule (rb>c)
    involves comparing "c" which is measured in JimFitness, with "b" which is measured in JohnFitness.
    Not a problem, in evolutionary theory, as long as the units are the same - and they are. (Or at
    least they are if the theorist is careful. I believe that Hamilton [1964] was careful.)

    Now, back to the child that is supposed to be acting as a "somatic extension" of its parents. How is
    it supposed to behave? It is not acting to maximize it's mother's fitness exactly, nor is it acting
    to maximize its father's fitness exactly. John must say that it is maximizing a 50-50 blend of the
    two kinds of fitness. And, that is a well-defined concept in fitness theory. It would not be a well-
    defined concept in utility theory.

    But now, here is a weakness of John's model. The child's genome is not really a 50-50 blend of the
    two parents. There is first a random selection of half of the genes out of each parent to form
    zygotes. The child is a blend of two zygotes, not of two parents. It is possible that the child's
    "vector" for maximizing its own fitness is not a blend of the two parents. It may point in some
    other direction altogether. John's theory allows for this after the child reaches adulthood, but it
    is an artificiality of John's theory that the interests of the child suddenly veer from a blend

    maturity.

    gives reasonable answers in most cases. But I think that a Fisher-style model of fitness that weighs
    each offspring by its "reproductive value" is really the best model to use.

    I also am guessing that John doesn't really understand how neo-Darwinists count fitness. For
    example, in a social insect with infertile castes, the fitness of a queen is not counted by
    including all offspring - sterile forms and fertile forms together - the "establishment" is not
    that stupid.

  3. Quoted message said:

    JM:- Those who are familiar with the philosophical foundations of economics and game theory may
    worry about how a child can be said to balance the interests of both parents, giving equal weight
    to each. In critiques of the ethical doctrine of utilitarianism, for example, theoretical
    economists object to the idea of "equal weight". Those objections may well apply in economics,
    where utility functions are freely chosen. The objections do not seem to apply in evolutionary
    theory, because Nature is assigning the utility function. (PS. If this paragraph makes no sense to
    you, don't worry about it. It is addressed only to people who understand the distinction between
    cardinal utility theory and ordinal utility theory.)

    Quoted message said:

    JE:- The above is important. Please explain it in a more simple way so that sbe readers can more
    easily understand it and identify what your explaining within evolutionary theory

    JM:- I'm not sure exactly what you are looking for, since I am not sure that it does apply to
    evolutionary theory, but I will try. Economists talk about a quantity called "utility" that has some
    similarity to the quantity that evolutionary theorists call "fitness". John finds, picks, and eats
    some strawberries. Economists would say that John has incrementally added to his utility.
    Evolutionists, noting the nutritional value of the strawberries, would say that John has
    incrementally added to his fitness. John got scratched up while picking the strawberries. Economists
    would say there was a decrement to John's utility from the scratches. Evolutionists would say that
    there was a decrement to John's fitness from the scratches. Which was greater, the increment from
    the eating, or the decrement from the scratches? An economist considers this to be an objective
    question. He answers by observing John's behavior. If John knew in advance that he would get
    scratched, and fetched the strawberries anyways, then the utility (to John) of the strawberries was
    greater than the disutility of the scratch. If Jim refuses to fetch strawberries under these
    conditions, then the disutility must be greater (for Jim) than the utility. John and Jim appear to
    disagree, but actually both are right. There are two different utility "scales" involved -
    JimUtility and JohnUtility. John is the sole arbiter of JohnUtility and Jim is the sole arbiter of
    JimUtility. The economic theorist has no basis for judging between the two.

    JE:- If john and Jim trade then the economic theorist does have “a basis for judging between the
    two” because their interests have become mutual. If John picks strawberries for Jim because Jim
    provides something that JohnUtility says no to, then both John and Jim are joint arbiter’s to each
    other’s utililty. If the gains both make increase in _absolute_ terms above the gains either would
    have made on their own, then John has a vested interest in looking out for Jim and vice versa. This
    is the basis of mutualising selection where zero OFA exists.

    Quoted message said:

    snip<

    JM:- It is possible that John and Jim can come up with a mutually agreeable exchange rate through
    trade and reciprocity, but the economists cannot compute and impose one. JimUtility is strictly
    incomparable to JohnUtility. Hence, any attempt by Jim and John to ally themselves according to
    Bentham's principles and both try to maximize the sum of JimUtility and JohnUtility is hopeless
    unless Jim and John first agree on some kind of exchange rate. The sum cannot be computed. We are
    trying to add apples and oranges.

    Evolutionists, on the other hand, believe that JohnFitness and JimFitness are measured in the same
    units. John gains exactly as much by raising one

    JohnFitness units from JimFitness units - we can just talk about fitness - plain and simple.

    JE:- Yes fitness units are eqivalent.

    JM:- All of this is irrelevant for most purposes in evolutionary theory.

    JE:- It is not “irrelevant” it is of extreme importance. This is because organism fitness
    mutualism (OFM) has been routinely misrepresented as organism fitness altruism (OFA) within Neo
    Darwinian theory.

    JM:- But, there are some cases where the fitnesses of one individual must be compared with that of
    another individual.

    JE:- “Some cases?” EVERY case of Darwinian evolution by natural selection requires such a
    comparison.

    JM:- For example, if Jim is an altruistic donor of fitness, and John is the recipient, then
    Hamilton's rule (rb>c) involves comparing "c" which is measured in JimFitness, with "b" which is
    measured in JohnFitness. Not a problem, ..

    JE:- A big problem...

    Each, independent finess within b must be compared to each other and the donor, _before_ one b total
    can even be compared to c (which is only being done for the benefit of Hamilton’s_hypothetical_
    selfish gene). Note that b is a _proven_ group of _independent_ Darwinian organism selectees that
    _are_ competing against each other at the Darwinian level of selection.

    Only when the donor is innitiating the action it is “atruistic”. Here the donor’s that give nothing
    away are always selected over those who give anything away. On the other side of the fence, selfish
    recipients that accept the donation are selected over those that do not. When the recipient
    innitiates the action, it becomes “selfish” because b has been stolen and not donated. Here
    recipients who steal are favoured compared to those that don’t steal. On the other side of the
    fence, donors that allow recipients to steal from them are selected against. In all cases it is,
    war. For Van Valen his Red Queen theory means nature must work harder and harder just to stand
    still. At the Mad Hatter’s Tea Party the Red Queen just shouts “off with his head”. OFM removes this
    absurd Red Queen. The logic for “selfishness” and “altruism” is the same except the pigs have become
    the farmer within Orwell’s “Animal Farm”. Selfishness and altruism are just relative sides of the
    SAME logic
    i.e. you cannot have one without the other. The only thing that is an absolute opposite to _both_ is
    the process of mutualisation yet it is the misuse of Hamilton’s rule that has caused
    researchers to all but ignore, OFM.

    JM:- in evolutionary theory, as long as the units are the same - and they are. (Or at least they are
    if the theorist is careful. I believe that Hamilton [1964] was careful.)

    JE:- The units of fitness counted must be self consistent and eqivalent. If gene fitnesses are
    supposed to contest organism fitnesses and win, then one fitness has to be converted into the
    other, just to find out. Total fitness is the number of fitness units reproduced over a defined
    time period by a parent selectee. To convert an organism fitnesses into a valid gene fitnesses, all
    the genes replicated within an organism by mitosis and between organism generations by meisosis
    must be counted and then compared. Fitness now becomes not just how many Darwinian organisms you
    reproduced but also, how fat you are! One fat individual can be selected over many thin ones
    reproduced if the total number of genes in the fat one is more than in all the thin ones. Of course
    such a situation is just Mad Hatter nonsense. However, if Hamilton wants a real gene level of
    selection then this is it...

    When Hamilton counts genes over organism generations he is NOT counting genes he is only using genes
    as a handy index for an organism count. This is why gene fitness is entirely dependent on the
    Darwinian organism level and cannot compete against it as Hamilton stipulated. Note that b is NOT an
    organism level it is a group of organisms, i.e. it is an organism _group_ level of selection.
    Inclusive fitness has been misrepresented as an organism level of selection because it is a group
    level of selection.

    JM:- Now, back to the child that is supposed to be acting as a "somatic extension" of its parents.
    How is it supposed to behave? It is not acting to maximize it's mother's fitness exactly, nor is it
    acting to maximize its father's fitness exactly.

    JE:- It is acting to maximise their mutual fitness where this fitness provides an absolute fitness
    gain to both, i.e. compared to going it alone, they are BOTH better off but NECESSARILY EQUALLY.
    Here lies the rub.

    JM:- John must say that it is maximizing a 50-50 blend of the two kinds of fitness.

    JE:-

    independent but has become mutualised. Thus the 50-50 does NOT have to be equal in absolute terms
    and each parent is free to break the association and make another (note the mayhem this causes!).

    JM:- And, that is a well-defined concept in fitness theory. It would not be a well-defined concept
    in utility theory. But now, here is a weakness of John's model. The child's genome is not really a
    50-50 blend of the two parents.

    JE:- This does not matter in the least because the mutualised fitness is way above the fitness
    either parent could have achieved by just going it alone (reproducing without

    Quoted message said:

    snip<

    JM:-

    gives reasonable answers in most cases. But I think that a Fisher-style model of fitness that weighs
    each offspring by its "reproductive value" is really the best model to use.

    JE:- No, because it deletes genetic epistasis. This has been fudged by redefining epistasis as
    additive epistasis which is zero real epistasis.

    JM:- I also am guessing that John doesn't really understand how neo-Darwinists count fitness. For
    example, in a social insect with infertile castes, the fitness of a queen is not counted by
    including all offspring - sterile forms and fertile forms together - the "establishment" is not
    that stupid.

    JE:- It was that stupid. Hamilton ENDS UP, (no matter what lip service he pays to raising forms to
    fertile adulthood) by just counting genes in the very next organism generation; fertile or
    infertile. The group fitness count, b, is just the number of extra immature organisms that each
    recipient is now able to produce using the donation and NOT how many of them are raised to fertile
    adulthood.

    The only reason everybody was overjoyed at Hamilton’s rule was because it was supposed to provide a
    cause for the evolution of _entirely_ sterile eusocial casts by allocating an altruistic fitness to
    them. THEY were most certainly NOT raised to fertile adulthood, were they! Allowing a totally
    sterile cast a fitness to give away was absurd. These casts have zero INDEPENDENT fitness. Like my
    washing machine, its fitness contribution was ALWAYS to the owner and never to itself... but look
    out for the nano machines ;-)

    Best Wishes,

    John Edser Independent Researcher

    PO Box 266 Church Pt NSW 2105 Australia

    [email hidden]

  4. "John Edser" <[email hidden]> wrote in message news:<[email hidden]>...

    Quoted message said:

    JM:- For example, if Jim is an altruistic donor of fitness, and John is the recipient, then
    Hamilton's rule (rb>c) involves comparing "c" which is measured in JimFitness, with "b" which is
    measured in JohnFitness. Not a problem, ..

    JE:- A big problem...

    Each, independent finess within b must be compared to each other and the donor, _before_ one b
    total can even be compared to c (which is only being done for the benefit of
    Hamilton?s_hypothetical_ selfish gene). Note that b is a _proven_ group of _independent_ Darwinian
    organism selectees that _are_ competing against each other at the Darwinian level of selection.

    JM:- Quibble: "b" is not a group of organisms. "b" is the fitness received by one recipient (who
    is related to the donor by r). There is a total quantity - call it Btot - which can be computed by
    adding rb for each recipient. The group or set of recipients certainly exists, and it may be
    desirable to talk about it and give it a name. But please don't call it "b". Request for
    clarification: Why does the fact that the recipients and the donor are all competing organisms
    make a difference. If you are worried about the fact that there will be some mortality after the
    act of altruism, but before the actors have raised their families, then this fact can be taken
    into account by decreasing the estimate of b and c to take into account that some of the altruism
    was futile. Whoops - maybe you need to decrease b, but you don't decrease c. Hmmm. Is this what
    has you bothered?

    Quoted message said:


    Only when the donor is innitiating the action it is ?atruistic?. Here the donor?s that give
    nothing away are always selected over those who give anything away. On the other side of the
    fence, selfish recipients that accept the donation are selected over those that do not. When the
    recipient innitiates the action, it becomes ?selfish? because b has been stolen and not donated.
    Here recipients who steal are favoured compared to those that don?t steal. On the other side of
    the fence, donors that allow recipients to steal from them are selected against. In all cases it
    is, war. For Van Valen his Red Queen theory means nature must work harder and harder just to stand
    still. At the Mad Hatter?s Tea Party the Red Queen just shouts ?off with his head?. OFM removes
    this absurd Red Queen. The logic for ?selfishness? and ?altruism? is the same except the pigs have
    become the farmer within Orwell?s ?Animal Farm?. Selfishness and altruism are just relative sides
    of the SAME logic
    i.e. you cannot have one without the other. The only thing that is an absolute opposite to _both_
    is the process of mutualisation yet it is the misuse of Hamilton?s rule that has caused
    researchers to all but ignore, OFM.

    JM:- in evolutionary theory, as long as the units are the same - and they are. (Or at least they
    are if the theorist is careful. I believe that Hamilton [1964] was careful.)

    JE:- The units of fitness counted must be self consistent and eqivalent. If gene fitnesses are
    supposed to contest organism fitnesses and win, then one fitness has to be converted into the
    other, just to find out. Total fitness is the number of fitness units reproduced over a defined
    time period by a parent selectee. To convert an organism fitnesses into a valid gene fitnesses,
    all the genes replicated within an organism by mitosis and between organism generations by
    meisosis must be counted and then compared. Fitness now becomes not just how many Darwinian
    organisms you reproduced but also, how fat you are! One fat individual can be selected over many
    thin ones reproduced if the total number of genes in the fat one is more than in all the thin
    ones. Of course such a situation is just Mad Hatter nonsense. However, if Hamilton wants a real
    gene level of selection then this is it...

    When Hamilton counts genes over organism generations he is NOT counting genes he is only using
    genes as a handy index for an organism count. This is why gene fitness is entirely dependent on
    the Darwinian organism level and cannot compete against it as Hamilton stipulated. Note that b is
    NOT an organism level it is a group of organisms, i.e. it is an organism _group_ level of
    selection. Inclusive fitness has been misrepresented as an organism level of selection because it
    is a group level of selection.

    JM:- Yes, there is a "group" of recipients, but that does not make this "group-level" selection. As
    I understand it, we have group level selection only if there is mortality and reproduction of groups
    - for example, if a group of lazy ands is wiped out by an ant-eater or if a group of busy-bees gives
    birth to many swarms.

    I continue to be mystified why you think that Hamilton has anything to do with group selection. My
    understanding is that Hamilton was welcomed by the "establishment" because it could explain altruism
    without invoking a Wynn-Edwards-style group selection. Hamilton is the opposite of group selection.

    Quoted message said:
    Quoted message said:

    snip<

    JM:-

    Quoted message said:

    gives reasonable answers in most cases. But I think that a Fisher-style model of fitness that
    weighs each offspring by its "reproductive value" is really the best model to use.

    JE:- No, because it deletes genetic epistasis. This has been fudged by redefining epistasis as
    additive epistasis which is zero real epistasis.

    JM:- I suspect we are talking about two different aspects of Fisher. Fisher definitely did not model
    real epitasis in his assignment of fitnesses to genes and in his analysis of how gene frequencies
    change in response to organism-level selection. But "reproductive value" is, as far as I can tell,
    independent. Here, Fisher is not looking at genes - he is simply turning organism-level fitness into
    something that changes during an organism's lifetime - reaching a maximum around the onset of
    fertility.

    Quoted message said:


    JM:- I also am guessing that John doesn't really understand how neo-Darwinists count fitness. For
    example, in a social insect with infertile castes, the fitness of a queen is not counted by
    including all offspring - sterile forms and fertile forms together - the "establishment" is not
    that stupid.

    JE:- It was that stupid. Hamilton ENDS UP, (no matter what lip service he pays to raising forms to
    fertile adulthood) by just counting genes in the very next organism generation; fertile or
    infertile. The group fitness count, b, is just the number of extra immature organisms that each
    recipient is now able to produce using the donation and NOT how many of them are raised to fertile
    adulthood.

    The only reason everybody was overjoyed at Hamilton?s rule was because it was supposed to provide
    a cause for the evolution of _entirely_ sterile eusocial casts by allocating an altruistic fitness
    to them. THEY were most certainly NOT raised to fertile adulthood, were they! Allowing a totally
    sterile cast a fitness to give away was absurd. These casts have zero INDEPENDENT fitness. Like my
    washing machine, its fitness contribution was ALWAYS to the owner and never to itself... but look
    out for the nano machines ;-)

    JM:- Well, John, I have to admit that I have only read Fisher and Hamilton [1964]. I have not yet
    read any of the later papers in which the transition is made to counting fitnesses from birth-to-
    birth and to modeling parental care as just another kind of altruism to close relatives. So, maybe
    you are right that they ARE stupid. I will have to find out when I read the papers. But I am
    skeptical that all offspring are counted as equal, unless they are saying that the sterility is "self-
    selected".

    Incidentally, if there are any experts out there following this thread, I would appreciate exact
    references to later Hamilton papers that I should read. I will need to provide the reference to my
    neighborhood library branch, and they will send away for photocopies, so I need title, journal name,
    date, and page numbers.

  5. On Wed, 11 Feb 2004 00:46:17 +0000 (UTC), [email hidden] (Jim Menegay) wrote: ... [much
    snipped] ...

    Quoted message said:


    I continue to be mystified why you (Edser) think that Hamilton has anything to do with group
    selection. My understanding is that Hamilton was welcomed by the "establishment" because it could
    explain altruism without invoking a Wynn-Edwards-style group selection. Hamilton is the opposite of
    group selection.

    Quoted message said:
    Quoted message said:

    snip<

    JM:-

    WH:- Maybe this is a quibble because what you say is true. But by 1972 Hamilton had corresponded
    with Price and was using Price's formulation of group selection (the Price equation). Hamilton
    (1975) re-derived his expression using the logic of selection within and between groups. I think if
    Hamilton were still here he would now see kin selection as just a strong form of group selection
    although not a Wynn-Edwards-style group selection. William L Hunt

    ... [much snipped] ...

  6. Quoted message said:

    I continue to be mystified why you (Edser) think that Hamilton has anything to do with group
    selection. My understanding is that Hamilton was welcomed by the "establishment" because it could
    explain altruism without invoking a Wynn-Edwards-style group selection. Hamilton is the opposite of
    group selection.

    WH:- Maybe this is a quibble because what you say is true.

    JE:- It is simply a proven contradiction to suggest that "Hamilton is the opposite of group
    selection".

    WH:- But by 1972 Hamilton had corresponded with Price and was using Price's formulation of group
    selection (the Price equation). Hamilton (1975) re-derived his expression using the logic of
    selection within and between groups. I think if Hamilton were still here he would now see kin
    selection as just a strong form of group selection although not a Wynn-Edwards-style group
    selection.

    JE:- Inclusive fitness, rb is the group fitness of a number of independent Darwinian selectee's
    i.e. rb is ONE group fitness where inclusive fitness is ONE rb value that is being compared to a NON
    group fitness, c.

    Best Wishes,

    John Edser Independent Researcher

    PO Box 266 Church Pt NSW 2105 Australia

    [email hidden]

  7. "John Edser" <[email hidden]> wrote in message news:<[email hidden]>...

    Quoted message said:

    JM:-

    Quoted message said:

    I continue to be mystified why you (Edser) think that Hamilton has anything to do with group
    selection. My understanding is that Hamilton was welcomed by the "establishment" because it could
    explain altruism without invoking a Wynn-Edwards-style group selection. Hamilton is the opposite
    of group selection.

    WH:- Maybe this is a quibble because what you say is true.

    JE:- It is simply a proven contradiction to suggest that "Hamilton is the opposite of group
    selection".

    WH:- But by 1972 Hamilton had corresponded with Price and was using Price's formulation of group
    selection (the Price equation). Hamilton (1975) re-derived his expression using the logic of
    selection within and between groups. I think if Hamilton were still here he would now see kin
    selection as just a strong form of group selection although not a Wynn-Edwards-style group
    selection.

    JE:- Inclusive fitness, rb is the group fitness of a number of independent Darwinian selectee's
    i.e. rb is ONE group fitness where inclusive fitness is ONE rb value that is being compared to a
    NON group fitness, c.

    JM:- My thanks to WH for pointing this out, and my apologies to JE for not having appreciated the
    germ of truth in his position. It appears that I am going to have to dig into the literature to
    understand the group selection theories of Price, and the use that was made of this in the later
    publications of Hamilton. If anyone can give me some pointers into this literature, I would
    appreciate it. I have only sporadic use of a good medical-school library for research. My serious
    reading, so far, is limited to Hamilton's 1964 paper.

    In 1964, Hamilton did not write down the formula rb>c. Nonetheless, from what he did write down, it
    is easy to derive this formula. In fact, there are two different meanings that can be given to this
    formula depending on how you interpret r and b.

    1. You can take r and b as scalars and interpret the formula as applying to behaviors with a single
    donor and a single recipient. In this case, b is the benefit to the (single) recipient and r is
    the Wright coefficient of relationship between donor and recipient.

    2. You can take r and b as vectors, with the multiplication being an inner product and the index
    ranging over individuals within the deme (excluding the donor). One applies this formula to
    behaviors of a single individual which create a benefit for many individuals. As in the first
    case, each scalar r within the vector is a Wright coefficient, and each scalar b is the benefit
    to a single individual.

    To my mind, this cannot be called group selection, because there is no identification of a group and
    there is no "group fitness". All fitnesses being considered are individual fitnesses. To be sure, in
    the second part of the paper, Hamilton suggested some applications in which the demic structure of
    the population might result in typical r values being higher than in an unstructured population, and
    you might stretch things to call this group selection. Nonetheless, I stand by my claim that the
    1964 paper of Hamilton does not involve group selection, in the strict sense.

    Now, one can imagine a third possible interpretation of rb>c in which b is a scalar "group fitness"
    delta and in which r is some measure of the relationship between a typical individual and the group
    - a number that also somehow serves as a conversion factor between group fitnesses and individual
    fitnesses. If it turns out that this is what rb>c became in modern evolutionary biology, then I
    suspect that I am going to approach this literature with a skepticism of only slightly less than
    Edserian proportions. I hope that my mind will remain open, though, until I see the details.

  8. Quoted message said:

    JM:- For example, if Jim is an altruistic donor of fitness, and John is the recipient, then
    Hamilton's rule (rb>c) involves comparing "c" which is measured in JimFitness, with "b" which is
    measured in JohnFitness. Not a problem, ..

    Quoted message said:

    JE:- A big problem... Each, independent finess within b must be compared to each other and the
    donor, _before_ one b total can even be compared to c (which is only being done for the benefit of
    Hamilton?s_hypothetical_ selfish gene). Note that b is a _proven_ group of _independent_ Darwinian
    organism selectees that _are_ competing against each other at the Darwinian level of selection.

    JM:- Quibble: "b" is not a group of organisms. "b" is the fitness received by one recipient (who is
    related to the donor by r).

    JE:- All of Hamilton's sins are hidden within b. Mostly, b is the GROUP fitness total of two or more
    kin selected recipients. I can kin select two individuals related 0.5 or 10 individuals related 0.1
    or just kin select myself related 1. According to Hamilton they are all "equal" inclusive fitness
    counts. Only if I kin select myself is group selection avoided.

    JM:- There is a total quantity - call it Btot - which can be computed by adding rb for each
    recipient. The group or set of recipients certainly exists, and it may be desirable to talk about it
    and give it a name. But please don't call it "b".

    JE:- Yes Btot is HIDDEN within b. Selection occurs between the Darwinian selectee's within Btot
    BEFORE b can be concluded and compared with c.

    JM:- Request for clarification: Why does the fact that the recipients and the donor are all
    competing organisms make a difference.

    JE:- Because Darwinian organism fitness is a comparison of fitness at EACH AND EVERY Darwinian
    organism level. If this is the first independent fitness level, which it is, then Hamilton's
    _dependent_ gene level cannot be selected BEFORE Darwin does his selecting, only afterwards, making
    OFA a logical impossibility. Only the 1st _independent_ fitness count can cause natural selection
    for obvious logical reasons. Any 2nd independent fitness count, e.g. at the Darwinian organism group
    level, can only be constituted AFTER Darwinian selection has already operated at the 1st independent
    level. Thus group selection can go with but not against, organism selection. Hamilton's b value is a
    group of independent fitness values so it is group selective. Like all group selection, it can only
    go with and not against selection at the Darwinian organism level since if it does so they BOTH
    lose. Thus OFA cannot be selected using Hamilton's logic.

    Quoted message said:

    snip<

    Quoted message said:

    Only when the donor is innitiating the action it is "atruistic:. Here the donors that give nothing
    away are always selected over those who give anything away. On the other side of the fence,
    selfish recipients that accept the donation are selected over those that do not. When the
    recipient innitiates the action, it becomes "selfish" because b has been stolen and not donated.
    Here recipients who steal are favoured compared to those that don't steal. On the other side of
    the fence, donors that allow recipients to steal from them are selected against. In all cases it
    is, war. For Van Valen his Red Queen theory means nature must work harder and harder just to stand
    still. At the Mad Hatter's Tea Party the Red Queen just shouts "off with his head". OFM removes
    this absurd Red Queen. The logic for "selfishness" and "altruism" is the same except the pigs have
    become the farmer within Orwell's "Animal Farm". Selfishness and altruism are just relative sides
    of the SAME logic
    i.e. you cannot have one without the other. The only thing that is an absolute opposite to _both_
    is the process of mutualisation yet it is the misuse of Hamilton's rule that has caused
    researchers to all but ignore, OFM.

    Quoted message said:

    JM:- in evolutionary theory, as long as the units are the same - and they are. (Or at least they
    are if the theorist is careful. I believe that Hamilton [1964] was careful.)

    Quoted message said:

    JE:- The units of fitness counted must be self consistent and equivalent. If gene fitnesses are
    supposed to contest organism fitnesses and win, then one fitness has to be converted into the
    other, just to find out. Total fitness is the number of fitness units reproduced over a defined
    time period by a parent selectee. To convert an organism fitnesses into a valid gene fitnesses,
    all the genes replicated within an organism by mitosis and between organism generations by meiosis
    must be counted and then compared. Fitness now becomes not just how many Darwinian organisms you
    reproduced but also, how fat you are! One fat individual can be selected over many thin ones
    reproduced if the total number of genes in the fat one is more than in all the thin ones. Of
    course such a situation is just Mad Hatter nonsense. However, if Hamilton wants a real gene level
    of selection then this is it... When Hamilton counts genes over organism generations he is NOT
    counting genes he is only using genes as a handy index for an organism count. This is why gene
    fitness is entirely dependent on the Darwinian organism level and cannot compete against it as
    Hamilton stipulated. Note that b is NOT an organism level it is a group of organisms, i.e. it is
    an organism _group_ level of selection. Inclusive fitness has been misrepresented as an organism
    level of selection because it is a group level of selection.

    JM:- Yes, there is a "group" of recipients, but that does not make this "group-level" selection. As
    I understand it, we have group level selection only if there is mortality and reproduction of groups
    - for example, if a group of lazy ands is wiped out by an ant-eater or if a group of busy-bees gives
    birth to many swarms.

    JE:- Strictly speaking one group fitness is the number of groups that a group selectee reproduces.
    However, classical group selection never defined it that way. Neo Darwinians just compared group
    sizes or group mortalities and defined this as group selection. In your example, differential
    mortality of groups is just classical group selection. The irony is that this type of group
    selection is actually selection at the Darwinian organism level and NOT group selection, at all. Which-ever-
    way you define group selection, it fails to compete and win against the unit that is grouped, if and
    only if, each unit within remains an independent selectee. Independence is allowed by the term
    "additive",
    i.e. independent fitness counts are "additive" but dependent fitness counts are "non additive". I
    will add this is is because additive events only employ standard set processing (intersection
    and set union) but multiplicative events can be expressed as more complex, nested sets.

    JM:- I continue to be mystified why you think that Hamilton has anything to do with group selection.
    My understanding is that Hamilton was welcomed by the "establishment" because it could explain
    altruism without invoking a Wynn-Edwards-style group selection. Hamilton is the opposite of group
    selection.

    JE:- Yes, Hamilton was supposed to be "the opposite of group selection". Neo Darwinians wanted
    another way to explain OFA other than group selection. They thought that selection at the lower gene
    level instead at the higher organism group level could do it. As it turned out, selection at the
    lower gene level had to employ selection at the higher organism group level, to work. All that
    happened was Hamilton's group selection remained cleverly hidden within b for over 50 years.

    Quoted message said:
    Quoted message said:

    snip<

    Quoted message said:

    JM:-

    Quoted message said:

    gives reasonable answers in most cases. But I think that a Fisher-style model of fitness that
    weighs each offspring by its "reproductive value" is really the best model to use.

    Quoted message said:

    JE:- No, because it deletes genetic epistasis. This has been fudged by redefining epistasis as
    additive epistasis which is zero real epistasis.

    JM:- I suspect we are talking about two different aspects of Fisher. Fisher definitely did not model
    real epitasis in his assignment of fitnesses to genes and in his analysis of how gene frequencies
    change in response to organism-level selection.

    JE:- You have to remove ALL real gene fitness epistasis to allow genes to be independently
    selectable so Fisher just deleted all of it within his model.

    JM:- But "reproductive value" is, as far as I can tell, independent. Here, Fisher is not looking at
    genes - he is simply turning organism-level fitness into something that changes during an organism's
    lifetime - reaching a maximum around the onset of fertility.

    JE:- Yes, but the stage was set for Hamilton to reverse cause an affect and explicitly say, "hey its
    selection at the gene level that was happening within Fisher", because it WAS. When real gene
    fitness epistasis is deleted then YES, selection can happen at an independent gene level. Hamilton
    just "forgot" the Fisher's view was only an oversimplified model so he misused it. Everybody since
    has compounded more and more misuse.

    Quoted message said:

    JM:- I also am guessing that John doesn't really understand how neo-Darwinists count fitness. For
    example, in a social insect with infertile castes, the fitness of a queen is not counted by
    including all offspring - sterile


    forms

    Quoted message said:

    and fertile forms together - the "establishment" is not that stupid.

    Quoted message said:

    JE:- It was that stupid. Hamilton ENDS UP, (no matter what lip service he pays to raising forms to
    fertile adulthood) by just counting genes in the very next organism generation; fertile or
    infertile. The group fitness count, b, is just the number of extra immature organisms that each
    recipient is now able to produce using the donation and NOT how many of them are raised to fertile
    adulthood. The only reason everybody was overjoyed at Hamilton's rule was because it was supposed
    to provide a cause for the evolution of _entirely_ sterile eusocial casts by allocating an
    altruistic fitness to them. THEY were most certainly NOT raised to fertile adulthood, were they!
    Allowing a totally sterile cast a fitness to give away was absurd. These casts have zero
    INDEPENDENT fitness. Like my washing machine, its fitness contribution was ALWAYS to the owner and
    never to itself... but look out for the nano machines ;-)

    JM:- Well, John, I have to admit that I have only read Fisher and Hamilton [1964]. I have not yet
    read any of the later papers in which the transition is made to counting fitnesses from birth-to-
    birth and to modelling parental care as just another kind of altruism to close relatives. So, maybe
    you are right that they ARE stupid. I will have to find out when I read the papers. But I am
    skeptical that all offspring are counted as equal, unless they are saying that the sterility is "self-
    selected".

    JE:- Hamilton misused Fisher's model and everybody was happy to jump onto the bandwagon of model
    misuse. Now the chickens have come home to roost.

    Best Wishes,

    John Edser Independent Researcher

    PO Box 266 Church Pt NSW 2105

    [email hidden]

  9. Quoted message said:

    JM:-

    Quoted message said:

    I continue to be mystified why you (Edser) think that Hamilton has


    anything

    Quoted message said:
    Quoted message said:

    to do with group selection. My understanding is that Hamilton was welcomed by the "establishment"
    because it could explain altruism without invoking a Wynn-Edwards-style group selection. Hamilton
    is the opposite of group selection.

    Quoted message said:

    WH:- Maybe this is a quibble because what you say is true.

    Quoted message said:

    JE:- It is simply a proven contradiction to suggest that "Hamilton is the opposite of group
    selection".

    Quoted message said:

    WH:- But by 1972 Hamilton had corresponded with Price and was using Price's formulation of group
    selection (the Price equation). Hamilton (1975) re-derived his expression using the logic of
    selection within and between groups. I think if Hamilton were still here he would now see kin
    selection as just a strong form of group selection although not a Wynn-Edwards-style group
    selection.

    Quoted message said:

    JE:- Inclusive fitness, rb is the group fitness of a number of independent Darwinian selectee's
    i.e. rb is ONE group fitness where inclusive fitness is ONE rb value that is being compared to a
    NON group fitness, c.

    JM:- My thanks to WH for pointing this out, and my apologies to JE for not having appreciated the
    germ of truth in his position. It appears that I am going to have to dig into the literature to
    understand the group selection theories of Price, and the use that was made of this in the later
    publications of Hamilton. If anyone can give me some pointers into this literature, I would
    appreciate it. I have only sporadic use of a good medical-school library for research. My serious
    reading, so far, is limited to Hamilton's 1964 paper.

    In 1964, Hamilton did not write down the formula rb>c. Nonetheless, from what he did write down, it
    is easy to derive this formula. In fact, there are two different meanings that can be given to this
    formula depending on how you interpret r and b.

    1. You can take r and b as scalars and interpret the formula as applying to behaviors with a single
    donor and a single recipient. In this case, b is the benefit to the (single) recipient and r is
    the Wright coefficient of relationship between donor and recipient.

    2. You can take r and b as vectors, with the multiplication being an inner product and the index
    ranging over individuals within the deme (excluding the donor). One applies this formula to
    behaviors of a single individual which create a benefit for many individuals. As in the first
    case, each scalar r within the vector is a Wright coefficient, and each scalar b is the benefit
    to a single individual.

    To my mind, this cannot be called group selection, because there is no identification of a group and
    there is no "group fitness". All fitnesses being considered are individual fitnesses. To be sure, in
    the second part of the paper, Hamilton suggested some applications in which the demic structure of
    the population might result in typical r values being higher than in an unstructured population, and
    you might stretch things to call this group selection. Nonetheless, I stand by my claim that the
    1964 paper of Hamilton does not involve group selection, in the strict sense.

    Now, one can imagine a third possible interpretation of rb>c in which b is a scalar "group fitness"
    delta and in which r is some measure of the relationship between a typical individual and the group
    - a number that also somehow serves as a conversion factor between group fitnesses and individual
    fitnesses. If it turns out that this is what rb>c became in modern evolutionary biology, then I
    suspect that I am going to approach this literature with a skepticism of only slightly less than
    Edserian proportions. I hope that my mind will remain open, though, until I see the details.

    JE:- It seems to me that b is EITHER a set of independent Darwinian individuals or it isn't, it
    can't be both! Naturalists I have spoken with who mostly ignore Neo Darwinism because it is
    "unintelligible" and then blame themselves because "they don't really understand the maths" scratch
    their heads in disbelief at how a gene that _lowers_ the total fitness of each Donor parent by just
    giving it way to a _group_ of Darwinian competitors because they are related in some way, can ever
    be selected _for_. They are right, it can't! Hamilton's rule is just a misused model that deleted
    the total fitness of the donor from the model allowing ALL FITNESSES to become JUST relative. This
    means the goal posts for selection can be shifted to anywhere you like. Prof. Felsenstein is correct
    when he suggested all Neo Darwinian models are "non testable". Hamilton's model is non testable
    because all fitnesses remain relative. The "everything is relative" school of epistemology is called
    Post Modernism. Note that Darwinism is NOT post modern. Implied within it is each parents total
    fitness within one Darwinian population.

    ______________________________________________
    Until a full and frank discussion re: the proper relationship between models and the theories they
    are just a simplification from eventuates, the problem of simplified model misuse will continue to
    destroy evolutionary theory from the inside out, like a cancer.
    _______________________________________________

    Best Wishes,

    John Edser Independent Researcher

    PO Box 266 Church Pt NSW 2105 Australia

    [email hidden]

  10. "Jim Menegay" <[email hidden]> wrote in message
    "]news:[email hidden]...

    Quoted message said:

    "John Edser" <[email hidden]> wrote in message


    news:<[email hidden]>...

    Although you are superbly analytical (and very subtly so), and admirably patient!

    Here is my take on how to cut through the core of what is being considered:

    Given a population that across generations undergo somewhat incremental but sometimes phase
    transitioning (significantly phenotype-altering) genomic changes:

    Failure / Gene ->Behaviour-> Reproductive Benefit? \

    Success

    \

    Gene->Behaviour->Reproductive Benefit? (a.s.f)

    In the above diagram the only really interesting component is the "?".

    ?=Any actual (and relevant) outcome of the "Evolutionary Pressure Totality".

    You have not embarked on a 'scientifically (or philosophically) remaining-to-take' -- i.e., not
    already thoroughly tried, tested/contested, and sufficiently collectively conceptually crystalized
    -- non-knit-picking general evolution theoretical approach to explaining and understanding how we
    came to be how we are.

    What you are doing is to re-analyse evolution theoretical concepts inorder to understand how
    someone's psyche has quirks to the effect of that he refuses to absorb and accept the fact that
    altruistic acts of individuals need not be "mutualistic" to have become selected-in (and so to
    become an as if 'genetically conserved behavioural potential' within a population).

    In reality this is a subject best to be theoretically tackled (analyses) from various angels of
    Psychobiology (including with evolutionary psychology type thinking).

    In contrast to your effort, a relatively new or unexplored and untapped possibility to explain how
    we are and evolved is one that takes the tack of defining and categorizing amongst different
    phylogenetically significant selective or evolutionary pressures (against a backround the E.P.T.).

    Whilst being as generalizing (in parts) as it is, this complementary analytical approach is of
    course rather more individual-centered than most (other 'evolution philosophical/theoretical'
    approaches).

    As a complementary approach or aspect of evolution theory, "E.P.T. thinking" does of course
    accommodate the possibility that, amongst several individual "candidates for reproductive success"
    within a population, the _least_ flexibly or well adapted of these may yet be fit enough to
    reproduce if it is selected _not_ by competition with other candidates but because pure happenstance
    caused all other candidates to 'crumble'.

    This aspects of reality is easily accommodated because such happenstances do not generate a
    genophenotyping "strange attraction" within the phylogenetic patterning process.

    Recognitions of such "attractors" in the process of phylogeny is what EPT is about.

    The EPT approach within anthropobiology is to consider how we are against a back-drop of 'EPTly'
    theorized and defined types of phylogenetic (evolutionary) pressures on (and in different respects
    also *within*) "individual candidates for reproductive success". (Including pressures on
    "prematures"; and even on infertiles to the extent these behave altruistically because of genes
    shared with more or less close relatives - the survivial of which is altruistically promoted.)

    The schematic scenario of "selective pressures" operating on individuals within phylogeny is however
    especially relevant to the phylogeny of fauna, because the EPT approach is, ultimately, most of all
    a philanthropically oriented overview.

    [BTW, EPT is a SEPTIC-humored approach at seriously understanding What Is going on.]

    P

  11. "Peter F." <[email hidden]> wrote in message news:<[email hidden]>...

    Quoted message said:

    [snip] You have not embarked on a 'scientifically (or philosophically) remaining-to-take' -- i.e.,
    not already thoroughly tried, tested/contested, and sufficiently collectively conceptually
    crystalized -- non-knit-picking general evolution theoretical approach to explaining and
    understanding how we came to be how we are.

    What you are doing is to re-analyse evolution theoretical concepts inorder to understand how
    someone's psyche has quirks to the effect of that he refuses to absorb and accept the fact that
    altruistic acts of individuals need not be "mutualistic" to have become selected-in (and so to
    become an as if 'genetically conserved behavioural potential' within a population).

    In reality this is a subject best to be theoretically tackled (analyses) from various angels of
    Psychobiology (including with evolutionary psychology type thinking).

    In contrast to your effort, a relatively new or unexplored and untapped possibility to explain
    how we are and evolved is one that takes the tack of defining and categorizing amongst different
    phylogenetically significant selective or evolutionary pressures (against a backround the
    E.P.T.). [snip]

    As always, Peter, I am not sure I understand you. But it appears that you are wrong about what I am
    doing. I am definitely NOT seeking to "understand how someone's psyche has quirks" nor am I
    interested in "explaining and understanding how we came to be how we are." Human psychology is your
    area of interest - not mine.

    What am I interested in? Theoretical concepts. Other people have them - I want them. I only learn
    and use enough psychology to let me communicate efficiently - I am not particularly interested in
    why communicating efficiently is more difficult than it "ought" to be. Your interests are different
    than mine. Vive le difference.

  12. "John Edser" <[email hidden]> wrote in message news:<[email hidden]>...

    Quoted message said:

    Naturalists I have spoken with who mostly ignore Neo Darwinism because it is "unintelligible" and
    then blame themselves because "they don't really understand the maths" scratch their heads in
    disbelief at how a gene that _lowers_ the total fitness of each Donor parent by just giving it way
    to a _group_ of Darwinian competitors because they are related in some way, can ever be selected
    _for_. They are right, it can't!

    Let me attempt an explanation of Hamilton's [1964] logic without math. The hypothetical successful
    gene for altruism lowers the total fitness of its carrier (the donor) in the following sense: A
    carrier of the gene (an altruist) has lower fitness than a non-carrier (a non-altruist) who lives in
    the same deme. On the other hand, the hypothetical gene INCREASES the fitness of its carrier in the
    following sense: A typical carrier of the gene has higher fitness than the typical non-carrier
    within the population. And, solely for this reason (higher average fitness within the population)
    the gene will prosper.

    How is this possible? Well, it is possible if the typical carrier of the gene (within the whole
    population) is a recipient more often than is a typical non-carrier (within the whole population).
    Why are carriers "luckier" than non-carriers? Because the carrier probably inherited the gene, and
    this indicates that there are probably a higher-than-average number of other altruists in his family
    and in his neighborhood. The gene brings with it a burden of being altruistic, but it also brings
    the blessing of helpful relatives and neighbors. The gene doesn't "cause" the blessing, but it does
    tend to come with the blessing.

    Consider four kinds of individuals -
    (A) non-altruists that live in mostly non-altruistic demes,
    (B) non-altruists that live in mostly altruistic demes,
    (C) altruists that live in mostly non-altruistic demes,
    (D) altruists that live in mostly altruistic demes.

    Of these four kinds of individuals, the most fit are (B), next is (D), next is (A), and last is (C).
    Altruists really are less fit than similarly situated non-altruists; the cost of altruism is real.
    But, it turns out that
    (E) individuals are more common than (C) and (A) is more common than (B). So, the "average" altruist
    in the population turns out to be more fit (!) than the "average" non-altruist. Natural
    selection - at the population level - causes the altruistic gene to thrive.

    Now, when Hamilton's [1964] argument is expressed in this way, it is easy to see how someone (i.e.
    you) might react in horror with cries of "Group selection! Group selection! Oh, the horror!!" But I
    think that this horror is misguided, in this case. Only if (D) individuals compete for resources
    more rigorously against (B) individuals in their own deme than they do against individuals in other
    demes, will there be problems.

    Now, you can claim that if the higher-than-population-average fitness of the typical altruist is
    true, and especially since it results from higher than average receipts of altruism, then "altruism"
    is the wrong work and it should be called "mutualism". I suppose that you are free to use words
    however you wish, except:
    1. If you use a word in a non-standard way, you may fail to communicate.
    2. You cannot logically accuse Hamilton of error if you redefine the words he used so that what he
    said no longer makes sense under your new meanings.

    Hamilton [1964] never claimed that altruism could spread in the face of Darwin's natural selection.
    What he did was simply to point out that in some social situations, your fitness must include
    aspects not only of "what you do", but also of "who you are related to". Altruists tend to be
    related to some very helpful relatives. And, this is a heritable characteristic.

    There is another curious aspect to all this. It is a standard analytical technique in evolutionary
    thinking to ask "Would it be to this organism's advantage to acquire this gene by mutation?" But
    this technique turns out to be invalid in social situations. The fitness of an individual who
    acquires a gene by mutation may be very different from the fitness of an individual who acquires the
    gene by inheritance. If you acquire one of Hamilton's genes for altruism by mutation, then all you
    acquire are some costs. But, if you acquire the gene by inheritance, then along with the cost come a
    bunch of very helpful relatives that can increase your fitness by more than the cost. Hamilton's
    logic only work if most organisms acquire their genes by inheritance, rather than by mutation. My
    understanding of the biology is that this assumption is valid.

    One final point: You may ask why I claim that (D) individuals are more fit than (A). Good question.
    It is not true for an arbitrary altruistic gene, but it is true for the ones that satisfy "rb>c".
    But proving that would take math.

  13. "John Edser" <[email hidden]> wrote in message
    news:<[email hidden]>...

    Quoted message said:

    Naturalists I have spoken with who mostly ignore Neo Darwinism because it is "unintelligible" and
    then blame themselves because "they don't really understand the maths" scratch their heads in
    disbelief at how a gene that _lowers_ the total fitness of each Donor parent by just giving it way
    to a _group_ of Darwinian competitors because they are related in some way, can ever be selected
    _for_. They are right, it can't!

    JM:- Let me attempt an explanation of Hamilton's [1964] logic without math. The hypothetical
    successful gene for altruism lowers the total fitness of its carrier (the donor) in the following
    sense: A carrier of the gene (an altruist) has lower fitness than a non-carrier (a non-altruist) who
    lives in the same deme.

    JE:- This is where the argument ends and not starts ;-) Hamilton starts his argument at the end and
    ends it at the start; a neat trick. Of course this was made possible because of the reversal of
    cause and affect within his massively simplified model where cmax was deleted.

    JM:- On the other hand, the hypothetical gene INCREASES the fitness of its carrier in the following
    sense: A typical carrier of the gene has higher fitness than the typical non-carrier within the
    population. And, solely for this reason (higher average fitness within the population) the gene
    will prosper.

    JE:- If the fitness of the donor absolutely decreases then it does not matter if it appears to
    relatively increase as just a mean value. A relative measure can indicate the gene may spread
    relative to a non altruist gene but the absolute value loss means that it cannot be selected to do
    so. Thus it is an argument over what must win logically? The absolute donor fitness decrease that is
    not selectable or Hamilton's hypothetical relative mean fitness increase for the donor?

    JM:- How is this possible? Well, it is possible if the typical carrier of the gene (within the whole
    population) is a recipient more often than is a typical non-carrier (within the whole population).

    JE:- But donor loss exactly equals recipient gain because altruism can only transfer fitness, it
    cannot create any of it.

    JM:-

    Why are carriers "luckier" than non-carriers? Because the carrier probably inherited the gene, and
    this indicates that there are probably a higher-than-average number of other altruists in his family
    and in his neighborhood. The gene brings with it a burden of being altruistic, but it also brings
    the blessing of helpful relatives and neighbors. The gene doesn't "cause" the blessing, but it does
    tend to come with the blessing.

    Consider four kinds of individuals -
    (A) non-altruists that live in mostly non-altruistic demes,
    (B) non-altruists that live in mostly altruistic demes,
    (C) altruists that live in mostly non-altruistic demes,
    (D) altruists that live in mostly altruistic demes.

    Of these four kinds of individuals, the most fit are (B), next is (D), next is (A), and last is (C).
    Altruists really are less fit than similarly situated non-altruists; the cost of altruism is real.
    But, it turns out that
    (E) individuals are more common than (C) and (A) is more common than (B). So, the "average" altruist
    in the population turns out to be more fit (!) than the "average" non-altruist. Natural
    selection - at the population level - causes the altruistic gene to thrive.

    JE:- Hamilton's mythical increase in relative mean fitness for the carrier is ye olde group
    selection. Hamilton saved altruism from group selection by only hiding it away within
    F. Nobody noticed so who cares?

    JM:- Now, when Hamilton's [1964] argument is expressed in this way, it is easy to see how someone
    (i.e. you) might react in horror with cries of "Group selection! Group selection! Oh, the horror!!"
    But I think that this horror is misguided, in this case. Only if (D) individuals compete for
    resources more rigorously against (B) individuals in their own deme than they do against individuals
    in other demes, will there be problems.

    JE:- Either b is a group of independent selectees competing against one selectee c costs, or it
    isn't! If it is, then rb is just classically group selective and fails because selection at the
    lower individual level used in c must occur, _firstly_.

    JM:- Now, you can claim that if the higher-than-population-average fitness of the typical altruist
    is true, and especially since it results from higher than average receipts of altruism, then
    "altruism" is the wrong work and it should be called "mutualism".

    JE:- No, I claim that altruism is a selected reduction in absolute donor fitness but mutualism is a
    selected increase. The mean value tells you nothing about the absolute fitness of each independent
    parental absolute fitness component used to calculate it. Before such a mean can even be calculated,
    selection between these diverse absolute fitness components is over and done with. This is why any
    mean fitness is a group selective measure of any independent fitnesses that are being averaged when
    used to form a competing fitness.

    Quoted message said:

    snip<

    JM:- Hamilton [1964] never claimed that altruism could spread in the face of Darwin's natural
    selection.

    JE:- He simply failed to include any discussion of total parental fitness so he just evaded this
    most _basic_ of issues.

    JM:- What he did was simply to point out that in some social situations, your fitness must include
    aspects not only of "what you do", but also of "who you are related to". Altruists tend to be
    related to some very helpful relatives. And, this is a heritable characteristic.

    JE:- Hamilton failed to discriminate between helping relatives as an investment cost for a _gain_ in
    absolute donor fitness (OFM) or the exact opposite (OFA), because he deleted any reference to total
    parental fitness. Hamilton's skeleton key that could open _any_ level of fitness was just the
    smashing of Darwin's single lock that allowed Darwin's view to remain testable: total parental
    fitness. Hamilton's free "unlocked" view remains arbitrary and thus, non testable.

    JM:- There is another curious aspect to all this. It is a standard analytical technique in
    evolutionary thinking to ask "Would it be to this organism's advantage to acquire this gene by
    mutation?" But this technique turns out to be invalid in social situations. The fitness of an
    individual who acquires a gene by mutation may be very different from the fitness of an individual
    who acquires the gene by inheritance. If you acquire one of Hamilton's genes for altruism by
    mutation, then all you acquire are some costs. But, if you acquire the gene by inheritance, then
    along with the cost come a bunch of very helpful relatives that can increase your fitness by more
    than the cost. Hamilton's logic only work if most organisms acquire their genes by inheritance,
    rather than by mutation. My understanding of the biology is that this assumption is valid.

    JE:- Yes, Hamilton's relative gain at an absolute cost cannot even start.

    JM:- One final point: You may ask why I claim that (D) individuals are more fit than (A). Good
    question. It is not true for an arbitrary altruistic gene, but it is true for the ones that satisfy
    "rb>c". But proving that would take math.

    JE:- None of them can start. What is needed to start any of them is OFM. OFA and OFS can only exist
    when OFM is greater than either of them.

    Respectfully,

    John Edser Independent Researcher

    PO Box 266 Church Pt NSW 2105 Australia

    [email hidden]

  14. Jim Menegay wrote: <snip>

    Quoted message said:


    JM:- My thanks to WH for pointing this out, and my apologies to JE for not having appreciated the
    germ of truth in his position. It appears that I am going to have to dig into the literature to
    understand the group selection theories of Price, and the use that was made of this in the later
    publications of Hamilton. If anyone can give me some pointers into this literature, I would
    appreciate it. I have only sporadic use of a good medical-school library for research. My serious
    reading, so far, is limited to Hamilton's 1964 paper.


    For the science, the volume edited by Laurent Keller (1999) "Levels of Selection in Evolution", is a
    good overview of the current state of the art in this area. If you want to know more of the history
    of these disputes, then "Defenders of the Truth: The Sociobiology Debate" by Ullica Segerstr†le is a
    good read.

    Bob

    --
    Bob O'Hara

    Dept. of Mathematics and Statistics
    P.O. Box 4 (Yliopistonkatu 5) FIN-00014 University of Helsinki Finland Telephone: +358-9-191 23743
    Mobile: +358 50 599 0540 Fax: +358-9-191 22 779 WWW: rni.helsinki.fi~boh Journal
    of Negative Results - EEB: jnr-eeb.orgjnr-eeb.org

  15. "Jim Menegay" <[email hidden]> wrote in message
    "]news:[email hidden]...

    Quoted message said:

    As always, Peter, I am not sure I understand you. But it appears that you are wrong about what I
    am doing. I am definitely NOT seeking to "understand how someone's psyche has quirks"

    I tried to point out that - whilst you might well have great fun and clearly show me and others that
    you are analytically clever and intelligent - there is ultimately not much substantial to be
    understood about Edser's theoretical concepts than the very important and substantial
    psychobiological causes behind them.

    It is perfectly fine - and you express it perfectly fine too - that you don't have any interest in,
    or inclination, to absorb anything of what I am *trying* to communicate. The reality of that it is
    so is something entirely for me to deal with.

    Celebrating our differences is, I have to say, a lot more easy for me to do when someone who is so
    different to me, as you are, is also such an apparently decent and high-quality a person.

    If that implies 'a boomerangs turning back towards my own head', then I suppose I just have
    to duck. ;->

    P

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