Parameters | Values | Definitions | Sources |
---|---|---|---|
ρ sex | 0.5 | Sex ratio | |
a, b | 8.7, 6 | Parameters of the gamma distribution used to calculate the next start of pregnancy | |
δ | 0.035 | Probability of twin birth | |
τ He | 0.02 | Probability of infertility for heifers | |
τ Co | 0.08 | Probability of infertility for cows | |
breeding_start | 15th of March | Date of start of the breeding period | |
breeding_dur | [16 18 20] | Duration of the breeding period (in weeks) | |
weaning | 1st October | Date of weaning | |
pasture_start | 1st April | Date of start of the pasture period | |
pasture_dur | [29 32 35] | Duration of the pasture period (in weeks) | |
renewal_rate | [0.286 0.317 0.349] | Ratio heifers/cows | |
sell_period | [autumn winter spring] | Sell period of grassers1 | |
size | [42 83 125] | Number of bred females2 | |
μ Ca,bi | 0.0225 | Probability of mortality at birth of calves | |
μ Ca | 0.000333 | Mortality rate of calves (d-1) | |
intro_week | [(20 25 30) 27 40] | Week of introduction of PI animal(s)3. | |
ε | [0.95 1 1.05] | Level of numerical productivity expected by the farmer | |
μ P,bi | [0.06 0.0667 0.0733] | Probability of mortality at birth of PI calves | |
μ P | [0.0017 0.0019 0.0021] | Mortity of PI animals per day | [20] |
ϕ MS | [0.006 0.00667 0.00733] | Trantion rate from state M to state S (d-1) | [21] |
ϕ TR | [0.18 0.2 0.22] | Transition rate from state T to state R (d-1) | [22] |
β T | [0.027 0.03 0.033] | Daily transmission rate for T animals | |
β P | [0.45 0.5 0.55] | Daily transmission rate for PI animals | |
\( {\beta}_b^P \) | [0.09 0.1 0.11] | Daily between-group transmission rate for PI animals | |
α Ra | [0.72 0.8 0.88] | Abortion rate due to infection in early pregnancy | |
α Rb | [0.18 0.2 0.22] | Abortion rate due to infection in mid-pregnancy | |
η X | Probability of giving birth to a calf in state X if infection in mid-pregnancy and no abortion | ||
η P | [0.875 0.9375 1] | ||
η M | [0.0625 0.03125 0] | ||
η R | [0.0625 0.03125 0] | ||
K ext | 0 | Risk of virus introduction on pasture |