Abstract-We studied the stopping rule which the female parasitoid, Dapsilarthra rufiventris, uses for deciding when to leave the leaflet on which she is searching for leaf-mining larvae, Phytomyza ranunculL She is unlikely to employ some current stopping rules, such as fixed-number and fixed-time rules and others. The searching female appears to deposit a marking pheromone on the leaflet. We formulated a model for predicting the amount of pheromone accumulated on the leaflet. The model assumes that she will deposit the pheromone on the leaflet at a given rate (a) per unit time which is proportional to search speed, and will leave it when the amount of pheromone reaches the threshold L. In this model L denotes the amount of the search effort spent on the leaflet. The model was fitted fairly well to the data. A comparison of the observed results with the pre~lictions of the model suggests that L increases markedly at the first encounter with the mine and at a lower rate for the subsequent encounters. This appears to be a kind of area-concentrated search, that is, searching for hosts for a while in the immediate vicinity after finding one host, and would be adaptive in foraging for P. ranunculi larvae, which exhibit clumped distributions among leaflets in the field.