CMP 131 Introduction to Computer Programming Violetta Cavalli-Sforza Week 10.
STABILIZING SELECTION ON HUMAN BIRTH WEIGHT FROM: Cavalli-Sforza & Bodmer 1971.
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Transcript of STABILIZING SELECTION ON HUMAN BIRTH WEIGHT FROM: Cavalli-Sforza & Bodmer 1971.
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STABILIZING SELECTION ON HUMAN BIRTH WEIGHT
FROM: Cavalli-Sforza & Bodmer 1971
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STABILIZING SELECTION ON THE GALL FLY, Eurosta solidaginis
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GALL DIAMETER IS VARIABLE AND HERITABLE
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STABILIZING SELECTION ON THE FLY, Eurosta solidaginis
Eurytoma gigantea
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STABILIZING SELECTION ON THE FLY, Eurosta solidaginis
Downy woodpecker
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STABILIZING SELECTION ON GALL SIZE
Intermediate size favored
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STABILIZING SELECTION ON THE FLY, Eurosta solidaginis
Two sources of mortality from predators:
Parasitoid wasps Hungry Birds
FROM: Weis & Abrahamson (1996) IN: F & H 2001
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DISRUPTIVE SELECTION
Pyrenestes o. ostrinus
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Disruptive selection on bill size in the black-bellied seedcracker (Pyrenestes o. ostrinus)
Juvenile birds that survive are those with either relatively small or relatively large beaks
DISRUPTIVE SELECTION
FROM: Smith (1993) IN: F & H 2001
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Quantitative trait locus (QTL) analysis:
Establishing the linkage between traits and genes
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Nature 412:904-907
QTL ANALYSIS OF HOST RACE FORMATION
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Molecular Ecology. 2008. 17:4117-4180
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Molecular Ecology. 2008. 17:4334-4345
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Coat color variation in oldfield mice
Hopi Hoekstra’s Lab
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Light coat color evolved independently in different populations
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QTL analysis of coat color in mice
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QTL analysis of coat color in mice
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Much of the variation in coat color is explained by differences in two genes
Corin also explains a small amount of variation
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Expression of Agouti during development influences coat color
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FUTURE STUDIES OF SPECIATION:
Quantitative Trait Loci (QTL) mapping in monkey flowers.
QTL analysis is a powerful approach to dissecting the genetic basis of traits directly associated with pre- and post-zygotic isolation.
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QTL analysis of floral traits in Mimulus
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PRICE’S RULE
The directional selection differential for a character is equal to (and can be measured by) the covariance of individual phenotypes with relative fitness.
S = Cov( relative fitness, phenotype)
PPwwN
S ii
1
Wherewi = relative fitness of individual i = absolute fitness of i / mean absolute fitness w = population mean relative fitness = 1 Pi = phenotypic measurement of individual i
P = population mean phenotype
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FISHER’S FUNDAMENTAL THEOREM OF NATURAL SELECTION
The rate of evolution of mean population fitness is equal to the additive genetic variance in relative fitness.
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FISHER’S FUNDAMENTAL THEORM OF NATURAL SELECTION
From Price’s Rule, if the character of interest is fitness itself, then the directional selection differential on fitness itself is,
S = average value of [(wi - w) (Pi - P)] = average value of [(wi - w) (wi - w)]
= Var (wi) = phenotypic variance in relative fitness
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FISHER’S FUNDAMENTAL THEORM OF NATURAL SELECTION
From the Breeder’s equation, R = h2S,
Response of relative fitness to selection, R
= heritability of relative fitness x S
additive genetic variance of w= x Var (w i) Var (wi)
= additive genetic variation in fitness
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FISHER’S FUNDAMENTAL THEORM OF NATURAL SELECTION
If there is any genetic variance in fitness in a population, then natural selection will act on it.
Strong directional selection on fitness is expected to erode genetic variance in fitness.
However, in natural populations there still seems to be genetic variance for fitness related traits.
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THE INPUT OF VARIATION BY MUTATION
How much variation for quantitative characters is introduced by mutation each generation?
Vm = mutational variance = genomic mutation rate (per gen.) x average squared mutation effect
Ve = environmental variance for the trait
Vm / Ve = MUTATIONAL HERITABILITY
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THE RATE OF POLYGENIC MUTATION
Species Characters Vm /Ve
Drosophila Bristle numbers 0.0017Daphnia Life-history traits 0.0017Tribolium Pupal weight 0.0091Mouse Skull measures 0.0111
Limb bones 0.0234Growth rate 0.0160
Corn Vegetative andreproductive traits 0.0051
Rice Vegetative andreproductive traits 0.0031
FROM: Lynch, M. 1988. Genetical Res. 51:137-148
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CORRELATIONS AMONG CHARACTERS OR RELATIVES
0 + —
Covariance:
yyxxN
yxCov ji 1,
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CONSTRAINTS DUE TO TRADE-OFFS
Negative correlations among life-history traits may constrain evolution and maintain genetic variation.
This is called the Antagonistic – Pleiotropy hypothesis.
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WHAT ARE THE LIMITS TO PHENOTYPIC EVOLUTION?
“A slow sort of country!” said the Queen. “Now, here, you see, it takes all the running you can do, to keep in the same place. If you want to get somewhere else you must run at least twice as fast as that”
From Alice in WonderlandLewis Carroll
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The Red Queen may permanently prevent populations from evolving to maximum fitness
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WHAT ARE THE EVOLUTIONARY
CONSEQUENCES OF SMALL POPULATION SIZE?
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THE PRIMARY GENETIC CONSEQUENCES OF SMALL POPULATION SIZE
Loss of additive genetic variance and heterozygosity within populations.
Divergence of mean phenotypes among isolated subpopulations (random genetic drift)
Reduction in mean fitness due to consanguineous matings (inbreeding resulting from exposure of deleterious recessive alleles).
Long-term accumulation of deleterious mutations and eventual extinction due to “mutational meltdown”.
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In: R. B. Primack. 1998. Essentials of Conservation Biology. Sinauer
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In: R. B. Primack. 1998. Essentials of Conservation Biology. Sinauer
EXTINCTION RATES OF BIRDS AND MAMMALS SINCE 1600
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In: R. B. Primack. 1998. Essentials of Conservation Biology. Sinauer
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Extent of eastern rainforest
DEFORESTATION AND HABITAT FRAGMENTATION IN MADAGASCAR
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In: R. B. Primack. 1998. Essentials of Conservation Biology. Sinauer
CHANGING ENVIRONMENTS: GLOBAL WARMING
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The source of our concern over rapidly changing environments, habitat loss, and fragmentation, is the direct relationship between these environmental issues and human population growth.
Total Human PopulationSize in 2000 B.C., <200 Million
Total Human PopulationSize in 2011 A.D., 7 Billion
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In the short-term, the demographic consequences of small populations are likely to be the more important than genetic consequences.
However,
In the long-term, genetic factors may be more important in determining whether populations are able to persist.
CONSERVATION PRIORITIES
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GENETIC CONSEQUENCES OF SMALL POPULATIONS
I. INBREEDING DEPRESSION
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Inbreeding Coefficient (F)
Plots of trait value vs. Level of Inbreeding (F)
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Generations
Sur
viva
l
FROM: Lacy et al. 1993. In, The Natural History of Inbreeding and Outbreeding. Ed. N. W. Thornhill. Univ. Chicago Press
Relationship Between Infant Survival and Time Since Closing of the Herd
Captive populations of ungulates, Brookfield Zoo, Chicago
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Contribution of the 18 founders of the North American zoo population of Siberian tigers to the gene pool in
1981.
FROM: Foose & Seal (1981).
0
2
4
6
8
10
12
14
16
18
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18
Founders
% C
ontr
ibu
tion *
*
*
*
*
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STRATEGIES TO REDUCE THE IMPACT OF SMALL CAPTIVE POPULATIONS
Genetic augmentation – Introduction of unrelated individuals to the breeding program. This strategy minimized the reduction in fitness due to inbreeding depression.
Pedigree analysis – Tracking the reproductive success of individuals with molecular markers to ensure equal contribution to the gene pool. This maximizes the effective population size (NE) and reduces the loss of genetic variation due to drift.
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GENETIC CONSEQUENCES OF SMALL POPULATIONS
II. LOSS OF GENETIC VARIATION
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LOSS OF HETEROZYGOSITY VS. POPULATION SIZE
Rate of loss of genetic variation = 1/2N per generation
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CRITICAL RATE OF EVOLUTION
} Populations that are able to “track” a changing environment persist.
Populations that cannot achieve the critical rate of evolution, decline and eventually go extinct.
CHANGING ENVIRONMENT
TIME
ME
AN
PH
EN
OT
YP
E
}
Since the level of additive genetic variation (VA) determines the response to selection, populations lacking in VA may not be able to respond to persistent environmental changes.
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INFLUENCE OF RANDOM GENETIC DRIFT AND MUTATION ON ADDITIVE GENETIC VARIANCE (VA)
The amount of genetic variance in generation t =
Genetic variance in generation t-1 – loss due to drift + input due to mutation
VA, t = VA, t-1 – (VA, t-1 / 2N) + Vm
At equilibrium, VA ,t = VA, t-1
VA = 2NVm The amount of genetic variation in a population is function
of both the population size and the mutation rate.
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GENETIC DIVERSITY AND POPULATION SIZE IN A NEW ZEALAND SHRUB (Halocarpus bidwillii)
In: R. B. Primack. 1998. Essentials of Conservation Biology. Sinauer
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THE INPUT OF VARIATION BY MUTATION
How much variation for quantitative characters is introduced by mutation each generation?
Vm = mutational variance = genomic mutation rate (per gen.) x average squared mutation effect
Ve = environmental variance for the trait
Vm / Ve = MUTATIONAL HERITABILITY
![Page 53: STABILIZING SELECTION ON HUMAN BIRTH WEIGHT FROM: Cavalli-Sforza & Bodmer 1971.](https://reader036.fdocuments.us/reader036/viewer/2022062409/56649f3c5503460f94c5b1e3/html5/thumbnails/53.jpg)
THE RATE OF POLYGENIC MUTATION
Species Characters Vm /Ve
Drosophila Bristle numbers 0.0017Daphnia Life-history traits 0.0017Tribolium Pupal weight 0.0091Mouse Skull measures 0.0111
Limb bones 0.0234Growth rate 0.0160
Corn Vegetative andreproductive traits 0.0051
Rice Vegetative andreproductive traits 0.0031
FROM: Lynch, M. 1988. Genetical Res. 51:137-148
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IMPLICATIONS FOR GENETIC CONSERVATION:
Short term population bottlenecks do not lead to large losses of genetic variation.
Mutation can replenish lost variation fairly rapidly.
For a captive population, a doubling in population size (Ne) will double the amount of genetic variation that can be maintained.
Equilibration of family sizes further reduces the effects of drift, resulting in an additional doubling of the level of genetic variation that can be maintained.
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THE EXTINCTION VORTEX
Environmental variation Catastrophic events
Habitat destruction Habitat fragmentation
EXTINCTION