TABLE 1

Notation used to derive Equations 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26 and 27

t,uTime variables
nc, qNumber of breeding categories, indexed by q
m, fDenotes the two sexes in discrete generations, i.e., q = m (male) or f (female)
ri,ri(q)Observed long-term genetic contribution of individual i (in category q)
ri,u(q, t)The genetic contribution of individual i born at time u to selected parents of sex q born at time t
Ft, ΔFInbreeding coefficient at time t, and rate of inbreeding
ωDeviation from Hardy-Weinberg equilibrium
Xq, XNumber of parents in category q and a simple monoecious population, respectively
Cu(t)Sum of squared contributions for individuals born at time u to selected parents at time t
CConverged sum of squared contributions, independent of time in an equilibrium
LGeneration interval
Si(q)Set of selective advantages for individual i in category q
μi(q)Expected contribution of i in category q conditional upon si(q)
Embedded Image Variance of contribution of i in category q conditional upon si(q)
niNumber of selected offspring of i
θn,iExpected number of selected offspring of i conditional upon si(q)
Vn,iVariance of the number of selected offspring of i, conditional upon si(q)
Vn,dev,iDeviation of Vn, i from Poisson, i.e., Vn,dev,i = Vn,iθn, i
αq, βqLinear model for Embedded Image