3 papers
q-bio.PE2009
Trait-dependent extinction leads to greater expected biodiversity loss
Beata Faller, Mike Steel
We use a classical combinatorial inequality to establish a Markov inequality for multivariate binary Markov processes on trees. We then apply this result, alongside with the FKG in…
q-bio.PE2008
Markovian log-supermodularity, and its applications in phylogenetics
Mike Steel, Beata Faller
We establish a log-supermodularity property for probability distributions on binary patterns observed at the tips of a tree that are generated under any 2--state Markov process. We…
q-bio.SC2007
Distribution of phylogenetic diversity under random extinction
Beata Faller, Fabio Pardi, Mike Steel
Phylogenetic diversity is a measure for describing how much of an evolutionary tree is spanned by a subset of species. If one applies this to the (unknown) subset of current specie…