# Table 5 Functions describing Cx. pipiens life-cycle

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)