This xlxs.file provides 3 sheets supporting the fully detailed results of our MS : sheet "precision interval" -> cross-validation of the methods on divers simulated populations. For each combination of populational, genetic and prior parameters, 100 repetitions were done, allowing estimating the precision interval. Sheet "posterior distribution" -> the posterior probability for each value of c are delivered for divers simulated populations evolving with true c=0.4. Sheet "results CloNcaSe" -> estimation of c by CloNcaSe for simulated populations of 100 individuals,exhaustively sampled, from c=0 to c=1. An equivalent of read me is provided at the end of the tables.