Wang-Engel temperature response function

Calculate the shape of the Wang and Engel beta temperature response function defined by three cardinal temperatures.

Usage

wang_engel_tt(min_temp, opt_temp, max_temp, beta = 1, n = 101)

Arguments

min_temp

The minimum cardinal temperature.

opt_temp

The optimum cardinal temperature.

max_temp

The maximum cardinal temperature.

beta

The exponent applied to the relative response (0-1). Default is 1.

n

The number of evenly spaced temperatures between min_temp and max_temp at which the response is evaluated. Default is 101.

Value

A data frame with columns x and y for the temperature and response, respectively.

References

Wang E, Engel T (1998). Simulation of phenological development of wheat crops. Agricultural Systems 58, 1-24.

Examples

library(ggplot2)
tt <- wang_engel_tt(0, 25, 35)
tt |>
    ggplot() +
    geom_line(aes(x = x, y = y)) +
    labs(x = "Temperature", y = "Response") +
    geom_vline(xintercept = c(0, 25, 35), linetype = "dashed", color = "red") +
    geom_hline(yintercept = c(0, 25), linetype = "dashed", color = "blue") +
    theme_bw()

# Change the beta and number of points
tt <- wang_engel_tt(0, 25, 35, beta = 0.5, n = 36)