Konik horses (Equus caballus) are maintained in several reserves in the Netherlands for habitat management. While there are a few challenges that accompany this introduction, it can serve as a fascinating laboratory to understand the relations between social structure, pedigree and leadership in movements in a social species. Knowledge of the genetic relations among individuals in a group may shed light on the social relationship within the group. We observed and videotaped behavior and movement of the 27 Konik horses that occupy the Blauwe Kamer reserve. The parents of horses that were born on the reserve were determined through DNA and the pedigree was reconstructed. The social network was analyzed based on positive affiliation and proximity, after aggressive interactions were removed. The comparison of harems composition to the pedigree revealed that the large group, which includes the oldest individuals, supplied young females that eventually formed the smaller harem. We also determined the hierarchical rank of the horses, and I will present insights from the relations between leading, rank, pedigree and role in social network. The leaders during collective movements were not the most dominant individuals, rather, two of the oldest females. Of all the network parameters that were tested with model selection to explain the leading rank of horses during collective moves, weighted degree (the number of connections each individual had with other horses, weighted by the intensity of each connection) provided the best explaining factor. Network parameters were also good indicators for future changes in membership in the different groups. An additional insight provided by the comparison between social interactions and the pedigree was the fact that at least two males attempted to mate with their own daughters, in contrast to the common incest-avoidance behavior in horses. Our results can suggest slight modifications in the management of the horses to reduce the risk of inbreeding