Table 3. Piecewise cubic Hermite interpolating polynomial parameters for the mean lifespan of Culicoides according to temperature values from −6°C to 42°C, see Eq (12).
θ range (°C) | a0 (days) | a1 (days/°C) | a2 (days/°C2) | a3 (days/°C3) | b (°C) |
---|---|---|---|---|---|
-6 ≤ θ ≤ -4 | 1/12 | 3.69⋅10−1 | 1.48⋅10−2 | 1.49⋅10−2 | -6 |
-4 ≤ θ ≤ 15 | 1 | 6.07⋅10−1 | 1.56⋅10−1 | -6.04⋅10−3 | -4 |
15 ≤ θ ≤ 20 | 27.5 | 0 | -7.77⋅10−1 | 8.59⋅10−2 | 15 |
20 ≤ θ ≤ 25 | 18.8 | -1.33 | 4.58⋅10−2 | 9.40⋅10−4 | 20 |
25 ≤ θ ≤ 30 | 13.4 | -8.04⋅10−1 | 8.55⋅10−2 | -1.05⋅10−2 | 25 |
30 ≤ θ ≤ 40.5 | 10.2 | -7.40⋅10−1 | -6.91⋅10−2 | 5.11⋅10−3 | 30 |
40.5 ≤ θ ≤ 42 | 1 | -5.89⋅10−1 | 7.30⋅10−2 | -9.06⋅10−3 | 40.5 |