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. 2015 Dec 29;113(3):686–691. doi: 10.1073/pnas.1516442113

Table 3.

Estimation of the instantaneous rate of disappearance of the tau allele and the contribution of differential adult survival and juvenile recruitment

Interval t Days R S Y fR fS fY is isr ipop
1 157 235 92 148 0.4915 0.4185 0.2838 −0.0010 −0.0035 −0.0024
2 47 240 171 187 0.3354 0.3158 0.2674 −0.0013 −0.0048 −0.0031
3 114 358 72 441 0.2905 0.2222 0.2721 −0.0024 −0.0006 −0.0008
4 106 513 27 837 0.2651 0.2407 0.2043 −0.0009 −0.0025 −0.0024
End 864 0.2054
Mean −0.0014 −0.0028 −0.0021

Headings from left to right are defined as follows: days, duration of interval between last days of each capture effort when all mice were released and the next capture effort; R, total number of mice released (after last interval: killed); S, number of individuals among R that were present alive at the end of the interval; Y, number of (young) individuals present at the end that were not yet present at the beginning of the interval, i.e., born in the interval; fR, relative frequency of the tau allele among 2*R; fS, relative frequency of the tau allele among 2*S; fY, relative frequency of the tau allele among 2*Y; is day−1, instantaneous rate of loss in relative tau allele frequency by differential survival, ln(fSt/fRt)/dt; isr day−1, instantaneous rate of loss in relative tau allele frequency by both differential survival and recruitment, ln(fYt/fRt)/dt. Logic: is is evident from the instantaneous rate of mortality. When young are born, the loss of tau alleles into the new generation can also be considered an instantaneous rate. Because the parents over time have different frequencies, the new generation carries alleles resulting from both loss due to parent survival and to recruitment. isr estimates the product of both, which means in terms of instantaneous rates: the sum. The calculation implicitly assumes that the rate of loss due to survival is age-independent. ipop day−1, instantaneous rate of overall loss in relative tau allele frequency observed in the population, ln(fRt+1/fRt)/dt.