Difference between Jaccard and Dice coefficient

The Jaccard and Dice coefficients are very similar, even so that dendrogram topology will not differ. The only difference is in the branch lengths. Usually, there is a slight preference for the Dice coefficient, because this coefficient is the same as the Nei & Li coefficient, known to be the most suitable coefficient to determine genetic relatedness based upon DNA restriction fragment patterns. See Nei, M. and W.-H. Li. 1979. Mathematical model for studying genetic variation in terms of restriction endonucleases. Proc. Natl. Acad. Sci. USA 76: 5269-5273.