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rcurve-fittingnls

nonlinear curve fitting in R

I am working on nonlinear curve fitting in R and I cannot figure out how to constrain the data using the variables... Here is an example:

dat<-read.table(text="time y
1 4.62
2 13.55
3 30.82
6 93.97
12 145.93
24 179.93", header = TRUE)
plot(data);lines(data)
model <- nls(y ~ Max * (1-exp(-k * (time - Lag))),data=dat,start=list(Max = 200, k = 0.1, Lag = 0.5))

I would like to include if (time - Lag) < 0, then y = 0 but I cannot for the life of me figure out how to do it.

Solution

  • Multiply the right hand side by (time > Lag)

    st <- list(Max = 200, k = 0.1, Lag = 0.5)
model <- nls(y ~ (time > Lag) * Max * (1-exp(-k * (time - Lag))), data = dat, start = st)
model
## Nonlinear regression model
##   model: y ~ (time > Lag) * Max * (1 - exp(-k * (time - Lag)))
##    data: dat
##      Max        k      Lag 
## 185.6447   0.1523   1.6016 
##  residual sum-of-squares: 65.06
##
## Number of iterations to convergence: 4 
## Achieved convergence tolerance: 2.016e-07

plot(dat)
lines(fitted(model) ~ time, dat, col = "red")

    screenshot