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Table 5 Functions describing Cx. pipiens life-cycle

From: Rift Valley fever vector diversity and impact of meteorological and environmental factors on Culex pipiens dynamics in the Okavango Delta, Botswana

Definition Function Reference
Egg hatching function (rate of egg reaching the following stage) \( {f}_E(t)=\frac{T(t)-{T}_E}{TD{D}_E} \) [18, 79]
Larval development function (rate of larvae turning in pupae) \( {f}_L(t)=\frac{0.021\times {e}^{0.162\times \left(T(t)-10\right)} - {e}^{0.162\times \left(T(t)-10\right)-\frac{35-T(t)}{5.007}}}{4} \) [18, 67]
Pupal development function (rate of pupae emerging) \( {f}_L(t)=0.021\times {e}^{0.162\times \left(T(t)-10\right)} - {e}^{0.162\times \left(T(t)-10\right)-\frac{35-T(t)}{5.007}} \) [18, 67]
Rate of adults becoming gravid \( {f}_{Ag}(t) = \frac{T(t)-{T}_{Ag}}{TD{D}_{Ag}} \) [18, 79]
Larval mortality rate \( {m}_L(t) = {e}^{\frac{-T(t)}{2}}+{\mu}_L \) [18, 80]
Pupal mortality rate \( {m}_P(t) = {e}^{\frac{-T(t)}{2}}+{\mu}_P \) [18, 80]
Daily adult mortality rate m A (t) = -0.005941 + 0.002965 × T(t) [18, 67, 80]
Additional adult mortality rate related to the seeking behaviour m r (t) = μ r max  − W(t) × (μ r max  − μ r min ) BK
Daily environment carrying capacity for larvae κ L (t) = κ L min  + W(t) × (κ L max  − κ L min ) BK
Daily environment carrying capacity for pupae κ P (t) = κ P min  + W(t) × (κ P max  − κ P min ) BK
  1. BK to our best knowledge, T daily average temperature, W daily average water presence:\( W(t) = \left\{\begin{array}{c}\hfill 1\hfill \\ {}\hfill R(t)\hfill \\ {}\hfill F(t)\hfill \\ {}\hfill \frac{R(t)+F(t)}{2}\hfill \end{array}\ \right.\begin{array}{c}\hfill \mathrm{in}\ \mathrm{scenario}\ 1,\hfill \\ {}\hfill \mathrm{in}\ \mathrm{scenario}\ 2,\hfill \\ {}\hfill \mathrm{in}\ \mathrm{scenario}\ 3,\hfill \\ {}\hfill \hfill \\ {}\hfill\ \mathrm{in}\ \mathrm{scenario}\ 4,\ \hfill \end{array} \)
  2. With R: 8 days cumulated rainfall; F: daily flooding (normalized values)