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Evolutionary Fitness
Absolute Fitness• Reproductive success: change in proportion of
offspring in the next generation• Can be determined for genotypes or phenotypes• W=No/Np, the number of offspring over the
number of parents with the trait• W=P*N, where P=probability of offspring
survival, N=average number of offspringW/W(mean), where W(mean) is the mean fitness of
the population as a whole
Competitive Index• Knight and Roberston, 1957
• CI=p/(1-p), where p is the proportion of the offspring with the trait
• The relative fitness of two strains is given by
W=CI1/CI2=[p/(1-p)]/[q/(1-q)]
Alternative Competitive Index
• Jungen and Hartl, 1979
• Just use p, not p/(1-p), as a measure of fitness (ie p=N*/N(total))
• Relative fitness, W=p/q
Long Term/Equilibrium Tests
• Sved, 1971• W=(r-h)/r(1-h) where r is the viability of
offspring of the strain, h is the equilibrium frequency of the strain (average of the last 9 generations of tests)
• In test by Hartl, 1981, the longer term value gave different results than the single-generation test
What can these tell us?• These definitions can be useful, as long as we are
not trying to test the theory of natural selection itself (ie, natural selection acts to increase W for a population)
• For example, used to figure out what characteristics make an organism more fit in a certain environment, or to track changes in the characteristics of a population due to changes in the selective pressures
Problem: Circularity
• These definitions are based on the theory of natural selection. We can’t use them to test the theory that natural selection acts to increase the fitness of a population.
A phenotype is “more fit” if proportionally more of its offspring survive
Natural selection acts to increase the fitness of populations
?
Other Measures
• Viability alone (measure survival rates of offspring) - not tightly linked to fitness as defined previously
• Reproductive power: the rate at which organisms transform energy to reproduction/offspring (fitness ~ energy used for reproduction)
• Model proposed by Brown, Marquet and Taper, 1993, widely discredited now, but work on other models
Adaptive Landscapes• Allele frequency in a population vs fitness
(multidimensional map)• Looks at fitness of a population, not of a specific
genotype• The landscape can change (changes in environment, for
example, or in competition, available resources, etc) --> shifting surface, different peaks --> no “end point”
• Local vs global maxima• Natural selection acts to increase the fitness of the
population as a whole
Phenotype vs. Environment
Fitness vs. Allele Frequency
• The initial condition of the population can affect the direction of its selection (extreme example: an environment favoring bigger wings could cause a population to head for more cells/wing or bigger wing cells, or a combination of the two; less extreme example: could get favored AA or BB genotype if favor red flowers)
• Importance: local, not global, maxima in fitness
Adaptive
Landscape
Random Drift on Adaptive Landscapes
Sources:
• http://links.jstor.org/sici?sici=0003-0147(199310)142%3A4%3C573%3AEOBSCO%3E2.0.CO%3B2-C
• http://links.jstor.org/sici?sici=0003-0147(199606)147%3A6%3C1087%3AEDOFYB%3E2.0.CO%3B2-O
• http://links.jstor.org/sici?sici=0269-8463(200110)15%3A5%3C696%3AEOBSLO%3E2.0.CO%3B2-G
• http://links.jstor.org/sici?sici=0031-8248(198206)49%3A2%3C268%3AOTPDOF%3E2.0.CO%3B2-T
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• http://www.genetics.org/cgi/reprint/137/2/509.pdf
• http://www.jstor.org/view/00318248/ap010196/01a00100/5?frame=noframe&[email protected]/01c0a8346d00501c18850&dpi=3&config=jstor
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• Life: The Science of Biology
• Introduction to Genetic Analysis
• http://images.google.com/imgres?imgurl=http://www.uwyo.edu/benkman/landscape.jpg&imgrefurl=http://www.uwyo.edu/benkman/rightsideresearch.html&h=992&w=1302&sz=151&hl=en&start=27&um=1&tbnid=aBv4T9zEahoniM:&tbnh=114&tbnw=150&prev=/images%3Fq%3Dadaptive%2Blandscape%2Bevolution%26start%3D20%26ndsp%3D20%26um%3D1%26hl%3Den%26client%3Dsafari%26rls%3Den%26sa%3DN