#' Fit polynomial models
#'
#' This function fits the polynomia functions of the surface trend analysis.
#' @param ds Dataframe providing the date of outbreak and X and Y coordinates
#' @param max.order Integer of highest order polynomial to attempt; defaults to 10
#' @export
estimate_surfacetrend_models = function(ds, max.order=10) {
order = 1:max.order
lm.fit = list()
ntimes = length(ds$time)
ds.new = ds
ds.new$XY = ds[,'X'] * ds[,'Y']
lm.fit[[1]] = lm( time ~ ., data=ds.new)
for(i in 2:max.order) {
name.x = paste0("X",i)
name.y = paste0("Y",i)
ds.new[,name.x] = (ds.new$X^i)
ds.new[,name.y] = (ds.new$Y^i)
lm.fit[[i]] = lm( time ~ ., data=ds.new)
}
return(lm.fit)
}
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