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M W Feldman

Publications and source records attributed to M W Feldman.

At least 91 records · Page 5Linked to original sources
PubMed1987

Toward a theory for the evolution of cultural communication: coevolution of signal transmission and reception.

A haploid sexual two-locus model of gene-culture coevolution is examined, in which a dichotomous phenotype subject to natural selection is transmitted vertically with probabilities dependent on the chosen parent's genotype and phenotype and the offspring's genotype. Stability conditions for the genetically monomorphic corner equilibria are obtained. In a specialization of this general model, one locus controls the transmission and the other controls the reception of adaptive information. The corner and edge equilibria of this doubly coevolutionary model are fully analyzed, and conditions for transmission and reception to coevolve are derived in terms of the efficiency of vertical transmission, the selective advantage gained from possessing the information, the costs of transmission and reception, and the recombination fraction between the two loci. Possible applications of the model are to the evolution of semantic alarm calls in vervet monkeys and the phonetic aspects of human language. In a third model with diploid genetics, we consider the initial increase of cultural transmission from a mutation-selection balance in which the adaptive phenotype is the consequence of a dominant gene at one locus. A second gene controls the transmission of the phenotype in such a way that a new mutant at this second locus permits learning of the adaptive phenotype from a parent who has it. This new mutant cannot increase when rare.

Animal Communication↗
PubMed1987

Selection, generalized transmission and the evolution of modifier genes. I. The reduction principle.

Modifier gene models are used to explore the evolution of features of organisms, such as the genetic system, that are not directly involved in the determination of fitness. Recent work has shown that a general "reduction principle" holds in models of selectively neutral modifiers of recombination, mutation, and migration. Here we present a framework for models of modifier genes that shows these reduction results to be part of a more general theory, for which recombination and mutation are special cases. The deterministic forces that affect the genetic composition of a population can be partitioned into two categories: selection and transmission. Selection includes differential viabilities, fertilities, and mating success. Imperfect transmission occurs as a result of such phenomena as recombination, mutation and migration, meiosis, gene conversion, and meiotic drive. Selectively neutral modifier genes affect transmission, and a neutral modifier gene can evolve only by generating association with selected genes whose transmission it affects. We show that, in randomly mating populations at equilibrium, imperfect transmission of selected genes allows a variance in their marginal fitnesses to be maintained. This variance in the marginal fitnesses of selected genes is what drives the evolution of neutral modifier genes. Populations with a variance in marginal fitnesses at equilibrium are always subject to invasion by modifier genes that bring about perfect transmission of the selected genes. It is also found, within certain constraints, that for modifier genes producing what we call "linear variation" in the transmission processes, a new modifier allele can invade a population at equilibrium if it reduces the level of imperfect transmission acting on the selected genes, and will be expelled if it increases the level of imperfect transmission. Moreover, the strength of the induced selection on the modifier gene is shown to range up to the order of the departure of the genetic system from perfect transmission.

Biological Evolution↗
PubMed1986

Modifiers of mutation rate: a general reduction principle.

A deterministic two-locus population genetic model with random mating is studied. The first locus, with two alleles, is subject to mutation and arbitrary viability selection. The second locus, with an arbitrary number of alleles, controls the mutation at the first locus. A class of viability-analogous Hardy-Weinberg equilibria is analyzed in which the selected gene and the modifier locus are in linkage equilibrium. It is shown that at these equilibria a reduction principle for the success of new mutation-modifying alleles is valid. A new allele at the modifier locus succeeds if its marginal average mutation rate is less than the mean mutation rate of the resident modifier allele evaluated at the equilibrium. Internal stability properties of these equilibria are also described.

Alleles↗
PubMed1986

An evolutionary reduction principle for genetic modifiers.

The joint evolution of major genes under viability selection and a modifier locus that controls recombination between the major genes, mutation at the major gene, or migration between two demes is studied. The modifying locus is selectively neutral and may have an arbitrary number of alleles. For each case a class of polymorphic equilibria exists in which the frequencies of the modifying alleles are those computed by assuming that the recombination, mutation, or migration rates were viabilities and in which the major and modifier loci are not statistically associated. These are called viability-analogous Hardy-Weinberg (VAHW) equilibria. A new allele introduced near these equilibria will enter the population if its marginal average rate of recombination, mutation, or migration (whichever applies) is less than the population average prior to its introduction. Stability properties of these VAHW equilibria are also reported.

Biological Evolution↗
PubMed1986

Selection for increased mutation rates with fertility differences between matings.

Previous studies of mutation modification have considered models in which selection is a result of viability differences that are sex symmetric. The results of a numerical study of a model in which selection is a result of fertility differences between mated pairs demonstrate that the type of selection to which a population is subject can have a significant impact on the evolution of various parameters of the genetic system. When the fertility of matings between individuals with different genotypes exceeds the fertility of at least some of the matings between individuals with the same genotype, selection may favor increased rates of mutation, in contrast to the results from all existing constant viability models with random mating and infinite population size. Increased mutation rates are most frequently favored when forward and back mutation occur at approximately equal rates and when the modifying locus is loosely linked to the selected locus. We present one example in which selection favors increased rates of mutation even though the selection scheme is reducible to one of differential viability between the sexes.

Alleles↗
PubMed1986

A numerical simulation of the one-locus, multiple-allele fertility model.

Numerical simulations were performed to determine the equilibrium behavior of the one-locus fertility model in which fitness is considered as a property of a pair of mating diploids. A series of patterns of "fertility matrices" were considered for a single locus with two to six alleles. From these simulations, 19 different statistics were collected that characterize, at equilibrium, the heterozygosity, the mean fitness and the fate of populations begun at the allele-frequency centroid. For more than one-half of the trajectories produced by random fertility matrices, there was a decrease in the mean fitness at some time on the way to equilibrium. The mean number of alleles maintained at equilibrium increased only slightly with matrix dimension. Despite the potential for fertility models to display multiple stable equilibria, random fertility models maintain fewer distinct stable points than do random one-locus viability models. Pleiotropic models were also considered with fertility and viability selection operating sequentially within each generation. Most of the equilibrium statistics (with the exception of mean fertility) for the pleiotropic model were intermediate between the corresponding random viability and fertility models.

Alleles↗
PubMed1985

Selection in complex genetic systems. VI. Equilibrium properties of two locus selection models with partial selfing.

The results of a combined analytical and numerical study of two locus selection models with partial selfing indicate that several commonly held opinions about the effects of partial self-fertilization do not hold in general. For example, the heterozygosity of a population may actually increase as the selfing rate is increased. Similarly, selection strong enough to guarantee a two locus polymorphism with complete selfing does not necessarily guarantee a two locus polymorphism with intermediate amounts of self-fertilization. The results presented here and a brief review of previously existing results indicate that the predictions of population genetic models based on the assumption of random mating will not be greatly altered by a small amount of self-fertilization, unless the loci involved are tightly linked. On the other hand, the results presented indicate that a very small amount of outcrossing may lead to marked differences from the expectation based on complete self-fertilization.

Biometry↗
PubMed1985

Gene-culture coevolution: models for the evolution of altruism with cultural transmission.

Models of sexual haploids under kin selection are constructed. The trait of altruism is transmitted vertically from parent to child, but not in a strictly genetic manner. Two systems of altruism are considered: parent-to-offspring and sib-to-sib. In the former case it is shown that even when Hamilton's conditions for the success of genetically determined altruism are met, genes that increase the transmission of altruism may not invade the population. With sib-to-sib altruism, such genes will always increase initially.

Alleles↗
PubMed1985

A symmetric two-locus fertility model.

A model in which selection is mediated by differential fertilities among the genotypes at two diallelic loci is proposed. Fertility depends only on the number of heterozygous loci participating in the mating. Classes analogous to symmetric equilibria in symmetric viability models are determined explicitly and shown to exhibit stability behavior very different from the viability results. Linkage equilibrium is shown to occur in a relatively asymmetric fashion and to overlap in stability with linkage disequilibrium. In many cases single-locus or two-locus polymorphism is shown to be stable simultaneously with chromosome fixation even under very tight linkage. It is suggested that historical effects may be of great significance in the evolution of systems in which fertility is the primary agent of natural selection.

Alleles↗
PubMed1985

A symmetric two locus model with viability and fertility selection.

A two locus deterministic population genetic model is analysed. One locus is under viability selection, the other under fertility selection with both forms of selection completely symmetric. It is shown that linkage equilibrium may occur at two different equilibrium points. For a two-locus polymorphism to be stable, it is necessary that the viability locus be overdominant but not necessary that the fertility locus, considered separately, be able to support a stable polymorphism. The overlaps in stability are not as complex as under two locus symmetric fertilities, but considerably more complex than with symmetric viabilities. Extensions of the analysis for the central linkage equilibrium point with multiple viability and fertility loci are indicated.

Fertility↗
PubMed1984

Cultural and biological evolutionary processes: gene-culture disequilibrium.

The dynamics of the interaction between genetic and cultural transmission are studied by using a simple two-phenotype diallelic haploid genetic system. The value of an individual's phenotype is determined by cultural transmission from its parent or by a randomly chosen member of the parental population. In the absence of phenotypic selection, polymorphic equilibria of the gene and trait frequencies are obtained. The correlation between genotype and phenotype within or between populations depends on a quantity formally similar to linkage disequilibrium and is determined by a relationship among transmission coefficients analogous to a coefficient of epistasis. With natural selection on the phenotype and no mutation, only degenerate transmission rules allow polymorphic equilibria to be attained, and, in general, the genotype allowing the strongest transmission of the favored phenotype is successful.

Biological Evolution↗
PubMed1983

Physiological effects of an allozyme polymorphism: glutamate-pyruvate transaminase and response to hyperosmotic stress in the copepod Tigriopus californicus.

In order to regulate cell volume during hyperosmotic stress, the intertidal copepod Tigriopus californicus, like other aquatic crustaceans, rapidly accumulates high levels of intracellular alanine, proline, and glycine. Glutamate-pyruvate transaminase (GPT; EC 2.6.1.2), which catalyzes the final step of alanine synthesis, is genetically polymorphic in T. californicus populations at Santa Cruz, California. Spectrophotometric studies of homogenates derived from a homozygous isofemale line of each of the two common GPT alleles indicated that the GPTF allozyme has a significantly higher specific activity than the GPTS allozyme. Under conditions of hyperosmotic stress, individual adult copepods of GPTF and GPTF/S genotypes accumulated alanine, but not glycine or proline, more rapidly than GPTS homozygotes. When young larvae were subjected to the same hyperosmotic conditions, GPTS larvae suffered a significantly higher mortality than GPTF or GPTF/S larvae. These results suggest that the biochemical differences among GPT allozymes result in specific physiological variation among GPT genotypes and that this physiological variation is manifested in differential genotypic survivorships under some naturally occurring environmental conditions.

Alanine Transaminase↗
PubMed1983

Cultural versus genetic adaptation.

We analyze the problem of the competition between genetic and cultural adaptation, testing various types of cultural transmission models versus a genetic (haploid) transmission model. With a vertical (parent-to-child) plus an infectious (oblique) cultural transmission, genetic adaptation always prevails, although its relative increase may be slow and polymorphism may persist for some time. Only under very special conditions of cultural transmission may a permanent polymorphism in which the two types of adaptation are represented be reached. There may, however, be an overall evolutionary advantage to a flexible mechanism of cultural transmission that allows adaptation to new situations for which no genetic mutants are available.

Adaptation, Psychological↗
PubMed1983

Modifiers of mutation rate: Evolutionary optimum with complete selfing.

It often has been assumed that, for infinite random mating populations in a constant environment, natural selection will favor genotypes at a neutral modifier locus that minimize the mutation rate. Mathematical modeling of this process confirms this assertion, independent of the selection regime. The same model under conditions of complete selfing can produce, under certain nondegenerate overdominance conditions, an optimum mutation rate below which increased mutation is favored and above which decreased mutation is favored. This occurs with unidirectional mutation models and a class of reversible mutation models with fitness overdominance. This is the first time that such a modifier optimum has been produced analytically for an infinite population in a constant environment.

Journal Article↗
PubMed1983

Paradox of the evolution of communication and of social interactivity.

Communication between individuals of a species is likely to increase the capacity to acquire skills useful for survival and propagation and thus may confer important selective advantages. Since interaction occurs between two or more individuals, the selective process is frequency dependent, and the analysis shows that communication cannot initially increase at a reasonable rate when it is limited to random unrelated individuals, so that it is likely to abort for stochastic reasons. However, this bottleneck is removed if the communication process takes place in the nuclear family or among close relatives or if aggregation of communicators occurs because of assortative mating or meeting. Use of the individual conditional fitnesses we have introduced earlier permits an exact analysis. We show that, in general, the initial rate of increase can be geometric if and only if, in the class of selective models considered, the conditional probability of a communicator interacting with another contains a positive constant term. In our discussion of communication, cost factors for the act of communication have been omitted. However, the model has been generalized to include cooperativeness, and also altruism, or competition, by introducing costs. There is a close relationship among these situations, and the same considerations about the initial bottleneck and its resolution also extend to them. The models given here are for haploids but they extend to diploids and the conclusions are similar.

Altruism↗
PubMed1983

Linkage modification with mixed random mating and selfing: a numerical study.

Although recombination cannot increase under conditions of random mating or complete selfing in regimes of constant selection, with mixed random mating and selfing, selection for increased recombination can occur. For some fitness regimes there may be selection for reduced recombination with both low and high degrees of selfing but selection for increased recombination with moderate degrees of selfing. With some fitness regimes there is a historical effect: depending on which equilibrium a population starts from, there may be selection for either increased or decreased recombination. In other cases the direction of selection may be determined by the present state of individuals within the population. If recombination is already fairly limited, there may be selection for further reduction. If recombination is already fairly frequent, there may be selection for increased recombination. For certain symmetric viability systems there may be an intermediate value of the recombination fraction between 0 and 0.5 toward which the population will evolve. Although it is not yet possible to classify precisely those fitness matrices that can exhibit selection for increased recombination, it does appear that selection for increased recombination can occur only if at least two of the double homozygotes are less fit than would be expected on the basis of a comparison of the fitnesses of the single and double heterozygotes on an additive scale.

Alleles↗