Quasi-Birth-and-Death Processes Evolving Within Phylogenetic Trees - Modelling Traits of Species

Learn how quasi-birth-and-death processes can be applied to model the evolution of species traits within phylogenetic tree structures in this 25-minute conference talk. Explore the mathematical framework that combines stochastic processes with evolutionary biology to understand how characteristics of species change over time along evolutionary lineages. Discover the theoretical foundations and practical applications of matrix-analytic methods in modeling biological evolution, with particular focus on how birth-and-death processes can capture the dynamics of trait evolution across different branches of phylogenetic trees. Gain insights into the intersection of probability theory, stochastic modeling, and evolutionary biology through this specialized presentation delivered at the 12th International Conference on Matrix-Analytic Methods in Stochastic Models.