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. 2013 Aug 30;1:28. doi: 10.3389/fpubh.2013.00028

Table 1.

Parameters of 1 km resolution transmission risk equations including the range of values, approach for sensitivity analyses, and reference for each.

Parameter Description Value range for 1 km (mean, SD) Value range for 30 km Notes (Reference)
Pte Terrestrial poultry density 0–9418 (379.4, 745.7) chickens/km2 0–5871 chickens/km2 Chicken densities for China (25 )
Paq Aquatic poultry density 0–2796 (86.2, 164.7) ducks and geese/km2 0–2796 Ducks and geese/km2 Duck and goose densities for China (25)
WEF Effective waterfowl population WEFbr: 0–0.32 (0.01, 0.04) Wprbr: 0–0.29 Distributions from (Prosser, in review)
Breeding season: WEFbr WEFwi: 0–0.39 (0.006, 0.025) watefowl/km2 Wprw i 0 to 0.39 Population estimates from (43 , 44 )
Wintering season: WEFwi Prevalence rates from (4549)
Cte Contaminant containment, terrestrial poultry (biosecure threshold Pte = 5000 birds/km2) Biosecure = 0.75 and 0.25; non-biosecure = 1 (unitless) Biosecure = 0.5; non-biosecure = 1 Biosecure threshold of 5000 chickens per km2. Reduction of population by 0.25 or 0.75 given biosecure designation
Bte Biosecurity, terrestrial poultry thresholds: Pte ≤ 50: Pbackyard = Pte × 1.0 50 < Pte ≤ 1000, Pbackyard: Pte × 0.5, Pte > 1000, Pbackyard = 1000 Pte × Bte = 0–1000 poultry/km2 Pte × Bte = 0–1000 poultry/km2 Tri-part equation: At densities ≤ 50, 100% of population is backyard poultry From 50 to 1000, half are backyard poultry At greater than 1000, backyard poultry is limited to 1000
Vte Viral shedding rate, terrestrial poultry 101.4 and 109.8 EID50 100, 109.8, 106.8 EID50 Viral shedding rates per individual per day from (5052)
Vaq Viral shedding rate, aquatic poultry 101 and 105.7 EID50 0, 106.5, 102.98 EID50 Viral shedding rates per individual per day from (5357)
Vwf Viral shedding rate, wild waterfowl 102.5 and 106.5 EID50 102.5, 106.5, 104.77 EID50 Viral shedding rates per individual per day from (58)
U Viral uptake = consumption rate of virus in the environment/minimum load for infection 10−15/(104.7–101.8) EID50 1.58e−17, 1.99e−20, 1.99e−20 ∑50 Consumption rate of virus in environment 10-15 (37); minimum viral load of 104.7 EID50 (and 101.8 EID50) to initiate infection with low pathogenic AIV (23, 59, 60)