Ignoring the calculation deviations generated by Equations 4, 5. and 6, the uncertainty of these experimental results can be expressed as follows: (11).
When the data are generated by Equation 3, the expectation of z kl conditional on the family of interest equals Thus, the expected value of the estimated total heritable variance equals which is Equation 16d.
When the data are generated by Equation 3, the expectation of z kl conditional on the family of interest, equals Thus, the expected value of the estimated indirect genetic variance equals which is Equation 16c.
When the data are generated by Equation 3, the expectation of z kl conditional on the family of interest k in group l equals which depends not only on the DGE of family k, but also on the IGEs of family k on kin and strangers.
Kalantarov and Titi [11] studied a global attractor of a semigroup generated by equation (1.1) for the autonomous case.
They proved that for each a ≠ 1 the periods of the sequences generated by equation (1) can be almost all natural numbers, depending on the initial points ( x 0, x 1 ).
This appendix shows the derivation of the nongenetic covariance structure generated by Equation 3 (Equations 11 and 14) and refers to the reduced model.
Many number and polynomial sequences can be generated by difference equations of order two.
Thus, it is natural to classify the equations according to the properties of operators generated by the equations.
The overwhelming majority of these discussions conclude that Ito processes, generated by stochastic differential equations of the Ito type, are superior to Stratonovich processes, generated by stochastic differential equations of the Stratonovich type [ 22, 23].
