The evolution of sexual reproduction as a repair mechanism part II. mathematical treatment of the wheel model and its significance for real systems
David Bourget (Western Ontario)
David Chalmers (ANU, NYU)
Rafael De Clercq
Ezio Di Nucci
Jack Alan Reynolds
Learn more about PhilPapers
Acta Biotheoretica 27 (3-4):159-184 (1978)
The dynamics of populations of self-replicating, hierarchically structured individuals, exposedto accidents which destroy their sub-units, is analyzed mathematically, specifically with regardto the roles of redundancy and sexual repair. The following points emerge from this analysis:0 A population of individuals with redundant sub-structure has no intrinsic steady-statepoint; it tends to either zero or infinity depending on a critical accident rate α c . Increased redundancy renders populations less accident prone initially, but populationdecline is steeper if a is greater than a fixed value α d . Periodic, sexual repair at system-specific intervals prevents continuous decline and stabilizesthe population insofar as it will now oscillate between two fixed population levels. The stabilizing sexual interval increases with increased complexity provided this is accom-panied by appropriate levels of redundancy. The model closely simulates the dynamics of heterosis effects. Repair fitness is a population fitness: the chance of an individual being repaired is a functionof the statistical make-up of the population as a whole at that particular period. Populationsliving at α > α c either engage in sexual repair at the appropriate time or they die out. The mathematical properties of the model illustrate mechanisms which possibly played arole in the evolution of a mortal soma in relation to sexual reproduction
|Keywords||No keywords specified (fix it)|
|Categories||categorize this paper)|
Setup an account with your affiliations in order to access resources via your University's proxy server
Configure custom proxy (use this if your affiliation does not provide a proxy)
|Through your library|
References found in this work BETA
No references found.
Citations of this work BETA
No citations found.
Similar books and articles
Werner Schwemmler (1980). The Triality Principle as a Possible Cause of the Periodicity of Evolving Systems. Acta Biotheoretica 29 (2):75-86.
A. Ruvinsky (1997). Sex, Meiosis and Multicellularity. Acta Biotheoretica 45 (2):127-141.
C. P. Bhunu, W. Garira & G. Magombedze (2009). Mathematical Analysis of a Two Strain Hiv/Aids Model with Antiretroviral Treatment. Acta Biotheoretica 57 (3):361-381.
Jan Verpooten & Mark Nelissen, Sensory Exploitation: Underestimated in the Evolution of Art as Once in Sexual Selection Theory?
R. R. Baker & G. A. Parker (1973). The Origin and Evolution of Sexual Reproduction Up to the Evolution of the Male-Female Phenomenon. Acta Biotheoretica 22 (2):49-77.
Władysław Krajewski (1997). Ideal Objects as Models in Science. International Studies in the Philosophy of Science 11 (2):185-190.
Guglielmo Tamburrini & Edoardo Datteri (2005). Machine Experiments and Theoretical Modelling: From Cybernetic Methodology to Neuro-Robotics. [REVIEW] Minds and Machines 15 (3-4):335-358.
J. T. Manning & D. P. E. Dickson (1986). Environmental Change, Mutational Load and the Advantage of Sexual Reproduction. Acta Biotheoretica 35 (3):149-162.
James T. Sears (1997). Centering Culture: Teaching for Critical Sexual Literacy Using the Sexual Diversity Wheel. Journal of Moral Education 26 (3):273-283.
I. Walker (1978). The Evolution of Sexual Reproduction as a Repair Mechanism. Part I. A Model for Self-Repair and its Biological Implications. Acta Biotheoretica 27 (3-4):133-158.
Added to index2009-01-28
Total downloads3 ( #617,093 of 1,796,319 )
Recent downloads (6 months)1 ( #468,135 of 1,796,319 )
How can I increase my downloads?