How about smoothing the percentages, and then take the second derrivative to find the inflection point?
which.max(diff(diff((lowess(percentages)$y)))) Bart -- View this message in context: http://r.789695.n4.nabble.com/Optimization-problem-tp2258654p2258828.html Sent from the R help mailing list archive at Nabble.com. ______________________________________________ R-help@r-project.org mailing list https://stat.ethz.ch/mailman/listinfo/r-help PLEASE do read the posting guide http://www.R-project.org/posting-guide.html and provide commented, minimal, self-contained, reproducible code.