Table 5 Description of recursive method flow

1

Starting values for AC cows set at 0 \(G\)

2

Starting values for PV cows and PV SB sires using lagged differentials

Table 2

3

Starting values for GS and DP AC sires calculated as the deviation from the mean value for AC cows due to a time lag difference in genetic trend, and the selection differential achieved in cows

Equation 1

4

Starting values of FOR sires made equal to AC DP sires (in the base scenario)

Table 2

5

Starting values for calves born in the AC subpopulation calculated as a time lag difference in genetic trend versus AC cows

Equation 2

6

Starting values for calves born in the AC subpopulation and selected to become future AI sires calculated as a time lag difference in genetic trend versus AC cows plus the selection differential achieved by cows

Equation 3

7

Historical trends are set for all subpopulations as increasing by 0.1 per year

Table 2

8

Select domestic sires from historical calves based on selection differentials and reliability

Equations 14 and 15

9

Update the genetic merit of foreign sires based on the foreign sire genetic trend

Equation 16

10

Evaluate the genetic merit of sires for each population and allocate the relative contributions

Values included in text for FSC. Equations 4 and 5 for RSC

11

For the RSC scenarios, update the selection differentials

Equation 6

12

Predict the genetic merit of born AC and PV calves from the merit of the corresponding sires and cows based on relative ages and sire contributions

Equations 11 and 13

13

Predict the genetic merit of AC and PV cow populations, and PV SB sires, based on lagged ages relative to calves

Equations 10 and 12

14

Cycle through steps 8 to 13 over successive years of the simulation

15

Calculate the NPV of the industry benefits

Equations 7, 8 and 9