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\item A local genealogical tree represents the ancestry of the sample of haplotypes at each locus in the genomic region being fine-mapped.  \item Haplotypes carrying the same disease risk alleles are expected to be related and cluster on the genealogical tree at a disease risk locus.  \item Tree-based methods assess whether trait values co-cluster with the ancestral tree for the haplotypes (e.g., \cite{Bardel_2005}).   \item Mailund et al. (2006) has developed a method to reconstruct and  scorethe  genealogies according to the case-control clusters and construct local ancestral trees. clusters.  \end{itemize}