How ants determine the number of potential recruits

In this paper we present a model that determines the number of potential recruits of Lasius niger, when feeding on a liquid sugar source. The core of the model are two rules: (i) there is a number of workers (facultative foragers) that become potential recruits if starved and (ii) facultative foragers are more likely to become starved than nonforagers because they are more likely to donate food in a trophallaxis (sugar-exchange) event. We develop and explore an analytical model based on these rules, deriving the number of potential recruits after an arbitrary period of starvation. We develop a simplified recruitment model and observe that the predictions of the model are in rough agreement with the empirical data.