Olivier Mazet, Camille NoûsPlease use the format "First name initials family name" as in "Marie S. Curie, Niels H. D. Bohr, Albert Einstein, John R. R. Tolkien, Donna T. Strickland"
<p style="text-align: justify;">We propose in this article a brief description of the work, over almost a decade, resulting from a collaboration between mathematicians and biologists from four different research laboratories, identifiable as the co-authors of the articles whose results are described here, and implicitely co-authors of this article, under the sig- nature of Camille Nouˆs. This modeling work is part of population genetics, and is therefore essentially at the interface between mathematical tools, more particularly probabilistic ones, and biological data, more specifically genetic ones.</p>
<p style="text-align: justify;">In a first part, we briefly present the theory of coalescence, which is the basis of our models, and the problems that this modeling tries to address. In a second part we describe our first results and the development of the IICR (Inverse of Instantaneous Coalescence Rate), the nodal point from which the different research paths we have been following are branching. The first results of these paths are summarized in the two following parts, one about the inference of demographic parameters of a structured population, the other about the consideration of selection.</p>
