Fit alate production function

Fits a function that returns proportion of offspring destined to develop into alates

Usage

fit_alate(omega, z, W, V)

Arguments

omega: inflection point of logistic regression
z: logistic regression gradient parameter
W: logistic regression gradient parameter
V: logistic regression gradient parameter

Value

function that accepts x and returns y based on fitted model

Details

Fits a logistic regression curve to determine the proportion of offspring destined to become alate adults, based on a function defined for cherry-oat aphids (Rhopalosiphum padi; Morgan 2000; Parry et al. 2006) $$ \frac{z}{1 + e^{-W \cdot \left( \frac{\text{density}}{V} - \omega \right)}} $$

References

Morgan, D., Population dynamics of the bird cherry-oat aphid, Rhopalosiphum padi (L.), during the autumn and winter: a modelling approach. Agricultural and Forest Entomology, 2, 297-304 (2000) Parry, H.R., Evans, A.J., Morgan, D., Aphid population response to agricultural landscape change: a spatially explicit, individual-based model. Ecological Modelling, 199, 451-463 (2006)

Examples

my_func <- EndoSim:::fit_alate(67.418, 0.993, 0.076, 300)
plot(seq(0, 15000, by = 1), my_func(seq(0, 15000, by = 1)), type = "l")