In this thesis, we study continuum tree-valued processes. First, we define anabstract framework for these processes, by constructing a metric on the space of locally com-pact, complete R-trees, endowed with a locally finite Borel measure. This topology, calledGromov-Hausdorff-Prokhorov topology, allows for the definition of tree-valued Markov pro-cesses. We then give a new const...