Displacement vectors on 125 points over a 6-km2 area were calculated <Zlotnicki et al., 1990> for Piton de la Fournaise volcano, R¿union Island, from photogrammetric surveys conducted in September 1981 and again in September 1984. An eruptive crisis with two episodes occurred during the 3 years between the surveys. We modeled the displacements from the photogrammetric surveys using a three-dimensional mixed boundary element method. The model shows that both eruptive episodes were fed by a single dike oriented 165¿ from north. As the dike approached the ground surface, it divided into segments that rotated into an en echelon pattern. The model that best fits all observations suggests that the stress state within the volcano is quasi-isotropic such that horizontal stresses equal the overburden. These high horizontal stresses are incompatible with an elastic edifice loaded merely by gravitational forces. However, they may be attributed to the cumulative effect of repeated dike intrusions. ¿ 1998 American Geophysical Union