The MacDrive projects aims to discover what drives macroevolutionary rates of species diversification. Specifically, we explore the impact of species-specific (e.g. habitat, diet and body size) versus shared factors (e.g. environmental or abiotic) on speciation and extinction rates. To achieve this goal, we work on time-calibrated phylogenies that include extant and fossil species. Since well-sampled species-level phylogenies including fossils do not exist yet or are constructed with ad-hoc fossil placement methods where branch lengths are not inferred in units of time, one of the major objectives of MacDrive is to infer such well-sampled species-level phylogenies of carnivora, cetartiodactyla, squaliformes and crocodyliformes. This inclusion of fossil species in phylogenies fundamentally relies on morphological data, as molecular data is extremely rare for fossils, and until today not available for fossils older than ~20 million years. Thus, our current work focuses both on constructing comprehensive morphological data matrices by scoring more characters for extant taxa and including more fossil species as well as developing more robust inference approaches and models for phylogenetic inference from morphological data. Overall, this project combines theoretical, computational and empirical work. Specifically, to address the overall go to discover what drives macroevolutionary rates of species diversification we (i) assemble new empirical datasets with a special focus on morphological data of extinct and extant species, (ii) develop new statistical models for inferring time-calibrated phylogenies with extinct and extant species, and (iii) build new stochastic models and inference approaches to infer species diversification rates using these phylogenies.