D Waxman

Summary

Affiliation: University of Sussex
Country: UK

Publications

  1. doi request reprint Scaling and fractal behaviour underlying meiotic recombination
    D Waxman
    Centre for the Study of Evolution, School of Life Sciences, University of Sussex, Brighton BN1 9QG, Sussex, UK
    Biosystems 99:42-9. 2010
  2. doi request reprint Fixation at a locus with multiple alleles: Structure and solution of the Wright Fisher model
    D Waxman
    Centre for the Study of Evolution, University of Sussex, Brighton, UK
    J Theor Biol 257:245-51. 2009
  3. ncbi request reprint Mean curvature versus normality: a comparison of two approximations of Fisher's geometrical model
    D Waxman
    Centre for the Study of Evolution, School of Life Sciences, University of Sussex, Brighton BN1 9QG, Sussex, UK
    Theor Popul Biol 71:30-6. 2007
  4. ncbi request reprint Fisher's geometrical model of evolutionary adaptation--beyond spherical geometry
    D Waxman
    Centre for the Study of Evolution, School of Life Sciences, University of Sussex, Brighton BN1 9QG, Sussex, UK
    J Theor Biol 241:887-95. 2006
  5. ncbi request reprint The frequency of the perfect genotype in a population subject to pleiotropic mutation
    D Waxman
    Centre for the Study of Evolution, School of Life Sciences, University of Sussex, Brighton, UK
    Theor Popul Biol 69:409-18. 2006
  6. doi request reprint A stochastic model for a single click of Muller's ratchet
    D Waxman
    Centre for the Study of Evolution, School of Life Sciences, University of Sussex, Brighton BN1 9QG, Sussex, UK
    J Theor Biol 264:1120-32. 2010
  7. ncbi request reprint Fisher's microscope and Haldane's ellipse
    D Waxman
    Centre for the Study of Evolution, School of Life Sciences, University of Sussex, Brighton BN1 9QG, Sussex, United Kingdom
    Am Nat 166:447-57. 2005
  8. ncbi request reprint Issues of terminology, gradient dynamics and the ease of sympatric speciation in Adaptive Dynamics
    D Waxman
    Centre for the Study of Evolution, School of Life Sciences, University of Sussex, Brighton, Sussex, UK
    J Evol Biol 18:1214-9. 2005
  9. ncbi request reprint 20 questions on adaptive dynamics
    D Waxman
    Centre for the Study of Evolution, School of Life Sciences, University of Sussex, Brighton, Sussex, UK
    J Evol Biol 18:1139-54. 2005
  10. ncbi request reprint Dynamics of a quantitative character subject only to stabilising selection
    D Waxman
    Centre for the Study of Evolution, School of Life Sciences, University of Sussex, Falmer, Brighton BN1 9QG, Sussex, UK
    Math Biosci 194:81-93. 2005

Collaborators

Detail Information

Publications25

  1. doi request reprint Scaling and fractal behaviour underlying meiotic recombination
    D Waxman
    Centre for the Study of Evolution, School of Life Sciences, University of Sussex, Brighton BN1 9QG, Sussex, UK
    Biosystems 99:42-9. 2010
    ..Decreasing the length scale of a geometric object is found to be directly analogous, in a genetics problem, to specifying a multilocus haplotype at a larger number of loci, and it is here that the fractal dimension reveals itself...
  2. doi request reprint Fixation at a locus with multiple alleles: Structure and solution of the Wright Fisher model
    D Waxman
    Centre for the Study of Evolution, University of Sussex, Brighton, UK
    J Theor Biol 257:245-51. 2009
    ..e., the sojourn time) and the probability of fixation. Numerical methods are discussed for the evaluation of these quantities...
  3. ncbi request reprint Mean curvature versus normality: a comparison of two approximations of Fisher's geometrical model
    D Waxman
    Centre for the Study of Evolution, School of Life Sciences, University of Sussex, Brighton BN1 9QG, Sussex, UK
    Theor Popul Biol 71:30-6. 2007
    ..The other approach is based on a normal approximation of a distribution associated with new mutations. Analytical results and simulations are used to compare the accuracy of the two approximations...
  4. ncbi request reprint Fisher's geometrical model of evolutionary adaptation--beyond spherical geometry
    D Waxman
    Centre for the Study of Evolution, School of Life Sciences, University of Sussex, Brighton BN1 9QG, Sussex, UK
    J Theor Biol 241:887-95. 2006
    ..We find that the distribution characterizing selection coefficients of new mutations is expressed in terms of a number of geometrical invariants associated with mutation, selection and the parental phenotype...
  5. ncbi request reprint The frequency of the perfect genotype in a population subject to pleiotropic mutation
    D Waxman
    Centre for the Study of Evolution, School of Life Sciences, University of Sussex, Brighton, UK
    Theor Popul Biol 69:409-18. 2006
    ..Additionally, a simple and robust numerical approach is also presented that allows the treatment of some other mutation distributions, where there are an arbitrary number of selected traits...
  6. doi request reprint A stochastic model for a single click of Muller's ratchet
    D Waxman
    Centre for the Study of Evolution, School of Life Sciences, University of Sussex, Brighton BN1 9QG, Sussex, UK
    J Theor Biol 264:1120-32. 2010
    ..It is thus possible to determine the variance in times between clicks, given the expected time between clicks. Evidence for both (a) and (b) is seen in simulations...
  7. ncbi request reprint Fisher's microscope and Haldane's ellipse
    D Waxman
    Centre for the Study of Evolution, School of Life Sciences, University of Sussex, Brighton BN1 9QG, Sussex, United Kingdom
    Am Nat 166:447-57. 2005
    ..Comparing the process of adaptation under the original and generalized models, we show that the generalization may bias results toward either larger or smaller mutations. The applicability of Fisher's model is then discussed...
  8. ncbi request reprint Issues of terminology, gradient dynamics and the ease of sympatric speciation in Adaptive Dynamics
    D Waxman
    Centre for the Study of Evolution, School of Life Sciences, University of Sussex, Brighton, Sussex, UK
    J Evol Biol 18:1214-9. 2005
  9. ncbi request reprint 20 questions on adaptive dynamics
    D Waxman
    Centre for the Study of Evolution, School of Life Sciences, University of Sussex, Brighton, Sussex, UK
    J Evol Biol 18:1139-54. 2005
    ..However, as with any approximate method, conclusions based on Adaptive Dynamics are valid only under some restrictions that we discuss...
  10. ncbi request reprint Dynamics of a quantitative character subject only to stabilising selection
    D Waxman
    Centre for the Study of Evolution, School of Life Sciences, University of Sussex, Falmer, Brighton BN1 9QG, Sussex, UK
    Math Biosci 194:81-93. 2005
    ..To leading order in a quantitative measure of the asymmetry of the distribution, we determine the third central moment of allelic effects...
  11. ncbi request reprint The balance between pleiotropic mutation and selection, when alleles have discrete effects
    D Waxman
    Centre for the Study of Evolution, School of Biological Sciences, University of Sussex, Brighton BN1 9QG, Sussex, UK
    Theor Popul Biol 63:105-14. 2003
    ..The connection with continuous trait models follows when the limit Delta-->0 is considered, and a singular probability density of trait values is obtained for all sufficiently large Omega...
  12. pmc The anomalous effects of biased mutation
    D Waxman
    Centre for the Study of Evolution, School of Biological Sciences, University of Sussex, Brighton BN1 9QG, Sussex, U K
    Genetics 164:1615-26. 2003
    ..Thus at each of these loci, the mean allelic effect eventually becomes extreme. This suggests that some of the models of mutation most commonly used in quantitative genetics should be modified so as to introduce genetic constraints...
  13. ncbi request reprint A one locus, biased mutation model and its equivalence to an unbiased model
    D Waxman
    Centre for the Study of Evolution, School of Life Sciences, University of Sussex, Brighton, Sussex BN1 9QG, UK
    Biosystems 78:93-8. 2004
    ..The analysis presented in this work sheds new light on Turelli's House of Cards Approximation...
  14. ncbi request reprint Mutation and selection in a large population
    J R Peck
    Centre for the Study of Evolution, School of Life Sciences, University of East Sussex, Brighton BN1 9QG, East Sussex, UK
    Biosystems 74:15-27. 2004
    ..We present numerical simulations to test the applicability of our theoretical formulations. The results of these simulations are in very reasonable agreement with the theoretical predictions...
  15. doi request reprint Adaptation to slow environmental change, with apparent anticipation of selection
    M Sato
    Centre for the Study of Evolution, School of Life Sciences, University of Sussex, Brighton BN1 9QG, Sussex, UK
    J Theor Biol 252:166-72. 2008
    ..We note that very slow rates of changes of traits are seen in the fossil record and the present work may be relevant to this topic...
  16. ncbi request reprint Near-periodic substitution and the genetic variance induced by environmental change
    Y Bello
    Centre for the Study of Evolution, School of Life Sciences, University of Sussex, Brighton BN1 9QG, Sussex, UK
    J Theor Biol 239:152-60. 2006
    ..We find a simple relation between the substitution rate and the rate of change of the optimal phenotypic value...
  17. ncbi request reprint Parameter-free testing of the shape of a probability distribution
    M Broom
    School of Science and Technology, University of Sussex, Falmer, Brighton BN1 9QG, Sussex, UK
    Biosystems 90:509-15. 2007
    ..The significance level and power of the tests introduced in this work are estimated from simulations. Some biological applications of the method are given...
  18. ncbi request reprint Mathematical analysis of a model describing evolution of an asexual population in a changing environment
    M Broom
    School of Mathematical Sciences, University of Sussex, Pevensey I, BN1 9QH, Brighton, UK
    Math Biosci 186:93-108. 2003
    ....
  19. doi request reprint Testing the level of ant activity associated with quorum sensing: An empirical approach leading to the establishment and test of a null-model
    P Nouvellet
    School of Life Sciences, University of Sussex, Brighton BN1 9QG, Sussex, UK
    J Theor Biol 266:573-83. 2010
    ..Lastly, we discuss our data in relation to a recent study of ants leaving their nest (Richardson et al., 2010) in which the null model was rejected in favour of record dynamics, where ant-ant interactions were conjectured to play a role...
  20. doi request reprint Fundamental insights into the random movement of animals from a single distance-related statistic
    P Nouvellet
    School of Life Sciences, University of Sussex, Brighton BN1 9QG, Sussex, United Kingdom
    Am Nat 174:506-14. 2009
    ..The results established in this work are directly applied to the foraging behavior of Pharaoh's ants, and very close agreement is found between observation and theory...
  21. pmc Nonequivalent Loci and the distribution of mutant effects
    J J Welch
    Centre for the Study of Evolution, School of Biological Sciences, The University of Sussex, Brighton BN1 9QG, Sussex, United Kingdom
    Genetics 161:897-904. 2002
    ..For large populations, when the kurtosis is large, the genetic variance may be <50% of the result of equivalent loci, with Gaussian distributions of mutant effects...
  22. ncbi request reprint Mutation and sex in a competitive world
    J R Peck
    Centre for the Study of Evolution, The University of Sussex, Brighton, UK
    Nature 406:399-404. 2000
    ..One implication of our findings is that experimental efforts to demonstrate synergistic epistasis may not succeed unless the experiments are redesigned to make them much more naturalistic...
  23. ncbi request reprint Numerical and exact solutions for continuum of alleles models
    D Waxman
    Centre for the Study of Evolution, School of Biological Sciences, University of Sussex, Brighton BN1 9QG, Sussex, UK D
    J Math Biol 46:225-40. 2003
    ..The exact solution is also used to test the accuracy of the numerical method...
  24. ncbi request reprint Testing the level of ant activity associated with quorum sensing: An empirical approach leading to the establishment and test of a null-model (response to the comment of Richardson et al.)
    P Nouvellet
    School of Life Sciences, University of Sussex, Brighton BN1 9QG, Sussex, UK
    J Theor Biol 280:191-3. 2011
    ..2011). In this Letter we respond to the comments of Richardson et al. (2011), and give detailed arguments why we stand by our original conclusions...
  25. ncbi request reprint Singular solutions of the diffusion equation of population genetics
    A J McKane
    Theoretical Physics Group, School of Physics and Astronomy, University of Manchester, Manchester M13 9PL, UK
    J Theor Biol 247:849-58. 2007
    ..It is also shown how solution of the forward equation, at long times, leads to the standard result for the fixation probability...