Individual Rules for Trail Pattern Formation in Argentine Ants (Linepithema humile)

• DOI: 10.1371/journal.pcbi.1002592
• Publication Date: 2012-07-20T01:13:04Z
• Authors: Andrea Perna; Boris Granovskiy; Simon Garnier; Stamatios C. Nicolis; Marjorie Labédan; Guy Theraulaz; Vincent Fourcassié; David J. T. Sumpter
• Keywords: [INFO.INFO-CC]Computer Science [cs]/Computational Complexity [cs.CC]; 0301 basic medicine; 570; 330; QH301-705.5; 590; Models, Biological; Pheromones; 03 medical and health sciences; environment/Symbiosis; Naturvetenskap; Animals; Computer Simulation; Biology (General); [NLIN.NLIN-AO]Nonlinear Sciences [physics]/Adaptation and Self-Organizing Systems [nlin.AO]; Feedback, Physiological; 0303 health sciences; [SDV.NEU.PC]Life Sciences [q-bio]/Neurons and Cognition [q-bio.NC]/Psychology and behavior; Behavior, Animal; Ants; Computational Biology; Other Quantitative Biology (q-bio.OT); [INFO.INFO-MO]Computer Science [cs]/Modeling and Simulation; Quantitative Biology - Other Quantitative Biology; [INFO.INFO-MA]Computer Science [cs]/Multiagent Systems [cs.MA]; FOS: Biological sciences; [SDV.EE.IEO]Life Sciences [q-bio]/Ecology; Natural Sciences; Sciences exactes et naturelles; [SDV.EE.IEO]Life Sciences [q-bio]/Ecology, environment/Symbiosis; Research Article

final version, 9 figures, submitted to Plos Computational Biology (accepted)<br/>We studied the formation of trail patterns by Argentine ants exploring an empty arena. Using a novel imaging and analysis technique we estimated pheromone concentrations at all spatial positions in the experimental arena and at different times. Then we derived the response function of individual ants to pheromone concentrations by looking at correlations between concentrations and changes in speed or direction of the ants. Ants were found to turn in response to local pheromone concentrations, while their speed was largely unaffected by these concentrations. Ants did not integrate pheromone concentrations over time, with the concentration of pheromone in a 1 cm radius in front of the ant determining the turning angle. The response to pheromone was found to follow a Weber's Law, such that the difference between quantities of pheromone on the two sides of the ant divided by their sum determines the magnitude of the turning angle. This proportional response is in apparent contradiction with the well-established non-linear choice function used in the literature to model the results of binary bridge experiments in ant colonies (Deneubourg et al. 1990). However, agent based simulations implementing the Weber's Law response function led to the formation of trails and reproduced results reported in the literature. We show analytically that a sigmoidal response, analogous to that in the classical Deneubourg model for collective decision making, can be derived from the individual Weber-type response to pheromone concentrations that we have established in our experiments when directional noise around the preferred direction of movement of the ants is assumed.<br/>