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Table 4 Monte-Carlo simulations of the response to selection under the null hypothesis of absence of de novo mutations

From: Standing variation and new mutations both contribute to a fast response to selection for flowering time in maize inbreds

n P

n H

estimates

othera

% simulations with linear response

Average responseb

P value

100

100

Late MBS

add

0.08

0.67 (0.43-0.99)

0.019*

100

60

Late MBS

add

0.12

0.46 (0.25-0.74)

0.320ns

100

60

Late MBS

dom

0.28

0.49 (0.23-0.76)

0.317ns

100

60

Early F252

add

0.24

-0.35 (-0.57 - -0.16)

0.068ns

100

20

Late MBS

add

0.33

0.22 (0.08-0.38)

0.046*

100

10

Late MBS

add

0.51

0.13 (-0.02-0.28)

0.006**

20

20

Late MBS

add

0.06

0.49 (0.27-0.78)

0.288ns

20

10

Late MBS

add

0.18

0.31 (0.13-0.55)

0.220ns

20

5

Late MBS

add

0.32

0.18 (0.04-0.36)

0.030*

  1. aadd = additivity within and between loci. dom = dominance of the most favourable allele. b95% confidence interval is given between brackets.
  2. Each simulation is defined by an initial number of polymorphic loci n P , an initial number of heterozygous loci n H and the experimental population from which the initial genetic variance was estimated. Corresponding values of initial heritabilities are given in (Table 3). % simulations with linear response is the fraction of the 500 runs for which the model that minimizes AICc in the segmented regression is the one with a breakpoint at G7 or after, indicating a linear response to selection. Average response is the average response to selection computed as in (3) for each run and averaged over the 500 runs. P value contains the percentage of simulations for which the average response to selection is lower than the one observed in the corresponding experimental population. When n H is too high, the simulated response to selection is always higher than the observed one. When n H is too low, the simulated response to selection is always lower than the observed one.