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Heterosis as a Function of the Strength of Selection in a Metapopulation

Heterosis as a Function of the Strength of Selection in a Metapopulation

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Senescence, the decline in fitness components of an organism with age [1], is a nearly universal characteristic of living beings [2-6]. This ubiquity is challenging because natural selection does not favor the evolution of traits decreasing fitness [1, 7, 8]. Senescence may result from two nonexclusive mechanisms: the accumulation of deleterious mu...

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... that we focused on observational components of variance, which are estimated in a statistically independent fashion by using an ANOVA design, rather than on causal components, which are estimated as linear combinations of the observational components and are, therefore, not statistically independent. Three of the four observational components of variance (VFs, VFo, and VGFs) significantly increased with age as expected under MA (Fig- ure 1E, Figure S2, and Table S3). The fourth (VGFo) did not increase and remained low at all ages. ...
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... main expectation of the AP theory is the occurrence of negative genetic correlations between early and late fitness traits as a consequence of opposite effects of pleiotropic Figure S2). (F) Age-specific heterosis (data are represented as mean 6 SEM over crosses; linear regression on cross means: Student's t test = 9.01, p < 0.0001, n = 153). ...
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... latter declines with age because of the reduced contribution of old cohorts to population growth. From this we showed that over a broad range of conditions, MA predicts stronger heterosis for lateexpressed traits than for early-expressed ones (Figure 2). This prediction does not hold under AP, as the genetic load is independent of the fitness sensitivity [17]. ...
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... results obtained with Mathematica 4.0 [S5] are shown for some representative population parameters in Figure 2. In contrast to inbreeding depression, which is mainly due to mutations of large effect maintained at low frequencies in all demes, among-population heterosis is mainly produced by mutations of moderate to low effect on fitness, which tend to be fixed by drift in a small fraction of demes and are rescued by wild-type alleles in among-deme crosses [S2, S4]. ...
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... results obtained with Mathematica 4.0 [S5] are shown for some representative population parameters in Figure 2. In contrast to inbreeding depression, which is mainly due to mutations of large effect maintained at low frequencies in all demes, among-population heterosis is mainly produced by mutations of moderate to low effect on fitness, which tend to be fixed by drift in a small fraction of demes and are rescued by wild-type alleles in among-deme crosses [S2, S4]. Over a large range of migration rates and selection coefficients, the decrease in the strength of selection (S(z)dz) with age is expected to increase heterosis for z (Figure 2). Only when the fitness effect of a mutation is very small [S(z)dz < 0.00001 for the population parameters used in Figure 2] can heterosis decrease with a decrease in S(z)dz; this is because very small mutations become effectively neutral and may go to fixation in the whole population as a result of mutation and drift. ...
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... a large range of migration rates and selection coefficients, the decrease in the strength of selection (S(z)dz) with age is expected to increase heterosis for z (Figure 2). Only when the fitness effect of a mutation is very small [S(z)dz < 0.00001 for the population parameters used in Figure 2] can heterosis decrease with a decrease in S(z)dz; this is because very small mutations become effectively neutral and may go to fixation in the whole population as a result of mutation and drift. However, this category of mutations is unlikely to contribute significantly to observable heterosis. ...
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... is important here to clearly distinguish between heterosis for trait z (Equation 3) and heterosis for fitness, which is found by multiplying Equation 3 by S(z). Heterosis for z is proportional to the variance in allele frequency, which under most circumstances is a decreasing function of S(z) (Figure 2). Heterosis for fitness is proportional to the product S(z)Var(q) which in the parameter range of Figure 2 is a nonmonotonic function of S(z) (see reference [S4]). ...
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... for z is proportional to the variance in allele frequency, which under most circumstances is a decreasing function of S(z) (Figure 2). Heterosis for fitness is proportional to the product S(z)Var(q) which in the parameter range of Figure 2 is a nonmonotonic function of S(z) (see reference [S4]). ...

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... They both suggest that aging results from mutations with late acting deleterious effects, while they differ in that Mutation Accumulation (MA; Medawar 1952) assumes aging mutations to be neutral early in life whereas antagonistic pleiotropy (AP; Williams 1957) assumes them to be beneficial. The AP and MA theories of aging have both been tested extensively, and evidence in favor of each has been found in the laboratory as well as in the wild (AP, e.g., Luckinbill et al. 1984;Rose 1984;Zwaan et al. 1995;Partridge et al. 1999;Charmantier et al. 2006;Nussey et al. 2008;Remolina et al. 2012;MA, e.g., Charlesworth & Hughes 1996;Hughes et al. 2002;Snoke & Promislow 2003;Swindell & Bouzat 2006;Borash et al. 2007;Reynolds et al. 2007;Escobar et al. 2008;Keller et al. 2008;Burke et al. 2014;Durham et al. 2014;Lohr & Haag 2015). Brengdahl et al., 2020 …we cannot resist the temptation to point out the contrast between the relative scientific standing of evolutionary biology and that of the rest of biology, where the explanation of ageing is concerned. ...
... Testing the role of the mutation accumulation mechanism on aging initially relied on studying inter-individual heterogeneity of age-related fitness reduction, a prediction of the model (Charlesworth & Hughes, 1996;Shaw et al., 1999;Wilson et al., 2007;Escobar et al., 2008). More recently, researchers have also begun employing molecular data to test the idea. ...
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... The classical Mutation Accumulation theory of ageing has been expanded to also incorporate mutations with much broader windows of effect (Charlesworth 2001). Several studies have tested and found support for MA, both in lab-adapted (Charlesworth and Hughes 1996;Hughes et al 2002;Snoke and Promislow 2003;Reynolds et al 2007;Burke et al 2014;Durham et al 2014) as well as wild populations (Escobar et al 2008;Keller et al 2008;Lohr and Haag 2015). Generally, ageing through mutations under a MA-scenario are considered to happen through many deleterious mutations which individually have small effects, although examples of MA mutations with large individual effects exist (Hughes and Reynolds 2005). ...
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... The AP and MA theories of aging have both been tested extensively, and evidence in favor of each has been found in the laboratory as well as in the wild (AP, e.g., [12][13][14][15][16][17][18], MA, e.g., [19][20][21][22][23][24][25][26][27][28][29]). The two theories make contrasting predictions about how early and late life performances are associated with one another. ...
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... In humans, heritability of CpG methylation patterns was shown to increase with age for about 100 genome-wide loci also consistent with MA, although possible fitness consequences were not evaluated 12 . In an indirect test of the expectation for inbreeding depression, outbreeding was reported to reduce age-related increase in mortality in hermaphroditic snails 13 , again in line with MA. Finally, Rodríguez et al. 14 studied >2,500 human genetic variants linked to 120 genetic diseases and reported that variants associated with late-onset disease segregate at higher frequencies than those associated with early-onset disease, a third prediction under MA 14 . ...
... The MA hypothesis predicts that burden of slightly deleterious germline substitutions will increase with age due to the declining force of negative selection 3 . Our approach differs from earlier attempts to test this hypothesis [6][7][8][9][10][11]13,14 in two respects. First, instead of relying on intra-species variation to estimate mutational load, we used inter-species divergence, which may be statistically more powerful as it involves a larger number of substitutions. ...
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