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Hartman S, Ryan SD, Karamched BR. Walk this way: modeling foraging ant dynamics in multiple food source environments. J Math Biol 2024; 89:41. [PMID: 39266783 DOI: 10.1007/s00285-024-02136-2] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Key Words] [MESH Headings] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 01/18/2024] [Revised: 06/14/2024] [Accepted: 08/08/2024] [Indexed: 09/14/2024]
Abstract
Foraging for resources is an essential process for the daily life of an ant colony. What makes this process so fascinating is the self-organization of ants into trails using chemical pheromone in the absence of direct communication. Here we present a stochastic lattice model that captures essential features of foraging ant dynamics inspired by recent agent-based models while forgoing more detailed interactions that may not be essential to trail formation. Nevertheless, our model's results coincide with those presented in more sophisticated theoretical models and experiments. Furthermore, it captures the phenomenon of multiple trail formation in environments with multiple food sources. This latter phenomenon is not described well by other more detailed models. We complement the stochastic lattice model by describing a macroscopic PDE which captures the basic structure of lattice model. The PDE provides a continuum framework for the first-principle interactions described in the stochastic lattice model and is amenable to analysis. Linear stability analysis of this PDE facilitates a computational study of the impact various parameters impart on trail formation. We also highlight universal features of the modeling framework that may allow this simple formation to be used to study complex systems beyond ants.
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Affiliation(s)
- Sean Hartman
- College of Music, Florida State University, Tallahassee, FL, 32306, USA
- Department of Mathematics, Florida State University, Tallahassee, FL, 32306, USA
| | - Shawn D Ryan
- Department of Mathematics and Statistics, Cleveland State University, Cleveland, OH, 44115, USA.
- Center for Applied Data Analysis and Modeling, Cleveland State University, Cleveland, 44115, OH, USA.
| | - Bhargav R Karamched
- Department of Mathematics, Florida State University, Tallahassee, FL, 32306, USA.
- Institute of Molecular Biophysics, Florida State University, Tallahassee, FL, 32306, USA.
- Program in Neuroscience, Florida State University, Tallahassee, FL, 32306, USA.
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2
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Zhang N, Yong EH. Dynamics, statistics, and task allocation of foraging ants. Phys Rev E 2023; 108:054306. [PMID: 38115539 DOI: 10.1103/physreve.108.054306] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [MESH Headings] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 04/30/2023] [Accepted: 10/11/2023] [Indexed: 12/21/2023]
Abstract
Ant foraging is one of the most fascinating examples of cooperative behavior observed in nature. It is well studied from an entomology viewpoint, but there is currently a lack of mathematical synthesis of this phenomenon. We address this by constructing an ant foraging model that incorporates simple behavioral rules within three task groups of the ant colony during foraging (foragers, transporters, and followers), pheromone trails, and memory effects. The motion of an ant is modeled as a discrete correlated random walk, with a characteristic zigzag path that is congruent with experimental data. We simulate the foraging cycle, which consists of ants searching for food, transporting food, and depositing chemical trails to recruit and orient more ants (en masse) to the food source. This allows us to gain insights into the basic mechanism of the cooperative interactions between ants and the dynamical division of labor within an ant colony during foraging to achieve optimal efficiency. We observe a disorder-order phase transition from the start to the end of a foraging process, signaling collective motion at the population level. Finally, we present a set of time delay ODEs that corroborates with numerical simulations.
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Affiliation(s)
- Nuoya Zhang
- Division of Physics and Applied Physics, School of Physical and Mathematical Sciences, Nanyang Technological University, Singapore 637371, Singapore
| | - Ee Hou Yong
- Division of Physics and Applied Physics, School of Physical and Mathematical Sciences, Nanyang Technological University, Singapore 637371, Singapore
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3
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Muratore IB, Garnier S. Ontogeny of collective behaviour. Philos Trans R Soc Lond B Biol Sci 2023; 378:20220065. [PMID: 36802780 PMCID: PMC9939274 DOI: 10.1098/rstb.2022.0065] [Citation(s) in RCA: 1] [Impact Index Per Article: 1.0] [Reference Citation Analysis] [Abstract] [Key Words] [MESH Headings] [Grants] [Track Full Text] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 08/24/2022] [Accepted: 10/21/2022] [Indexed: 02/21/2023] Open
Abstract
During their lifetime, superorganisms, like unitary organisms, undergo transformations that change the machinery of their collective behaviour. Here, we suggest that these transformations are largely understudied and propose that more systematic research into the ontogeny of collective behaviours is needed if we hope to better understand the link between proximate behavioural mechanisms and the development of collective adaptive functions. In particular, certain social insects engage in self-assemblage, forming dynamic and physically connected architectures with striking similarities to developing multicellular organisms, making them good model systems for ontogenetic studies of collective behaviour. However, exhaustive time series and three-dimensional data are required to thoroughly characterize the different life stages of the collective structures and the transitions between these stages. The well-established fields of embryology and developmental biology offer practical tools and theoretical frameworks that could speed up the acquisition of new knowledge about the formation, development, maturity and dissolution of social insect self-assemblages and, by extension, other superorganismal behaviours. We hope that this review will encourage an expansion of the ontogenetic perspective in the field of collective behaviour and, in particular, in self-assemblage research, which has far-reaching applications in robotics, computer science and regenerative medicine. This article is part of a discussion meeting issue 'Collective behaviour through time'.
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Affiliation(s)
| | - Simon Garnier
- Department of Biological Sciences, New Jersey Institute of Technology, Newark, NJ 07102, USA
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4
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Oberhauser FB, Bogenberger K, Czaczkes TJ. Ants prefer the option they are trained to first. J Exp Biol 2022; 225:286063. [PMID: 36524433 PMCID: PMC10088526 DOI: 10.1242/jeb.243984] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 01/08/2022] [Accepted: 11/28/2022] [Indexed: 12/12/2022]
Abstract
The temporal order in which experiences occur can have a profound influence on their salience. Humans and other vertebrates usually memorise the first and last items of a list most readily. Studies on serial position learning in insects, mainly in bees, showed preference for last encountered items. In bees, pheromone presence can also influence motivation, and thus learning. However, neither serial position learning nor the effect of recruitment pheromones on learning have been well investigated in ants. We trained Lasius niger ants to make multiple visits to sucrose on a runway which alternated between lemon or rosemary odour, and the presence or absence of trail pheromone, and then tested for preference between the odours on a Y-maze, in order to investigate the effect of pheromone presence on learning. Pheromone presence did not affect ant choice. However, unexpectedly, the ants strongly preferred the first odour encountered. This was explored by the addition of a familiarisation visit without pheromone or odour. The familiarisation visit disabled or reversed this preference for the first odour encountered, with ants now mostly taking their 'default' preference by choosing the left side of the maze. Our study found no effect of trail pheromone on learning, but a strong yet fragile preference for the first odour experienced. These different preferences could lead to spatial segregation of foraging activity depending on prior experience and might facilitate efficient resource exploitation by colonies.
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Affiliation(s)
- Felix B Oberhauser
- Animal Comparative Economics Laboratory, Department of Zoology and Evolutionary Biology, University of Regensburg, 93053 Regensburg, Germany.,Centre for the Advanced Study of Collective Behaviour, University of Konstanz, 78464 Konstanz, Germany
| | - Katharina Bogenberger
- Animal Comparative Economics Laboratory, Department of Zoology and Evolutionary Biology, University of Regensburg, 93053 Regensburg, Germany
| | - Tomer J Czaczkes
- Animal Comparative Economics Laboratory, Department of Zoology and Evolutionary Biology, University of Regensburg, 93053 Regensburg, Germany
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5
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Negative feedback may suppress variation to improve collective foraging performance. PLoS Comput Biol 2022; 18:e1010090. [PMID: 35584189 PMCID: PMC9154117 DOI: 10.1371/journal.pcbi.1010090] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 01/12/2022] [Revised: 05/31/2022] [Accepted: 04/08/2022] [Indexed: 11/21/2022] Open
Abstract
Social insect colonies use negative as well as positive feedback signals to regulate foraging behaviour. In ants and bees individual foragers have been observed to use negative pheromones or mechano-auditory signals to indicate that forage sources are not ideal, for example being unrewarded, crowded, or dangerous. Here we propose an additional function for negative feedback signals during foraging, variance reduction. We show that while on average populations will converge to desired distributions over forage patches both with and without negative feedback signals, in small populations negative feedback reduces variation around the target distribution compared to the use of positive feedback alone. Our results are independent of the nature of the target distribution, providing it can be achieved by foragers collecting only local information. Since robustness is a key aim for biological systems, and deviation from target foraging distributions may be costly, we argue that this could be a further important and hitherto overlooked reason that negative feedback signals are used by foraging social insects. Social insect colonies regulate the number of insects foraging at different food sources through a combination of positive and negative feedback signals. Through positive feedback signals—such as ants’ pheromone trails and bees’ waggle dances—insects recruit each other to increase the number of foragers committed to a food source that has been evaluated as profitable. Negative feedbacks are instead inhibitory signals that are delivered to reduce commitment to a food source where an unfavourable change has been detected, for example the arrival of a predator or a decrease in nutritional reward. Our mathematical analysis explains an additional function for negative feedback; inhibitory signals can also be useful in static conditions to reduce the variance in the number of insects allocated to each food source, thus better distributing insects among the available sources. Our results can help explain field observations that are not fully understood yet, such as the periodic delivery of a small number of inhibitory signals among honeybees visiting the same forage patch even in static conditions.
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6
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Sakamoto Y, Sakiyama T. Ant Lasius niger joining one-way trails go against the flow. Sci Rep 2022; 12:2361. [PMID: 35149724 PMCID: PMC8837658 DOI: 10.1038/s41598-022-05879-4] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.5] [Reference Citation Analysis] [Abstract] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 11/13/2021] [Accepted: 01/19/2022] [Indexed: 11/29/2022] Open
Abstract
Social insects, such as ants, use various pheromones as their social signal. In addition, they use the presence of other ants for decision-making. In this study, we attempted to evaluate if individual decision-making is influenced by the complementary use of pheromones and presence of other ants. Ants were induced to form a one-way flow system. We found that when ants entered such a system at a right angle, they tended to move in the opposite direction of the one-way flow system. Interestingly, the target ants moved randomly in the experiments in which no ant and/or no pheromone trails were present. We also developed simulation algorithms and found that artificial ant foragers could reach a certain goal more often if they adopted the reverse run (similar mechanism found in ant experiments) over the forward run (moving in the same direction as their nestmates).
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Affiliation(s)
- Yuta Sakamoto
- Department of Information Systems Science, Faculty of Science and Engineering, Soka University, 1 Chome-236 Tangimachi, Hachioji, Tokyo, 192-8577, Japan
| | - Tomoko Sakiyama
- Department of Information Systems Science, Faculty of Science and Engineering, Soka University, 1 Chome-236 Tangimachi, Hachioji, Tokyo, 192-8577, Japan.
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7
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van Schijndel L, Snoek BL, ten Tusscher K. Embodiment in distributed information processing: "Solid" plants versus "liquid" ant colonies. QUANTITATIVE PLANT BIOLOGY 2022; 3:e27. [PMID: 37077985 PMCID: PMC10095861 DOI: 10.1017/qpb.2022.22] [Citation(s) in RCA: 4] [Impact Index Per Article: 2.0] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Subscribe] [Scholar Register] [Received: 06/24/2022] [Revised: 10/31/2022] [Accepted: 11/02/2022] [Indexed: 05/02/2023]
Abstract
Information processing is an essential part of biology, enabling coordination of intra-organismal processes such as development, environmental adaptation and inter-organismal communication. Whilst in animals with specialised brain tissue a substantial amount of information processing occurs in a centralised manner, most biological computing is distributed across multiple entities, such as cells in a tissue, roots in a root system or ants in a colony. Physical context, called embodiment, also affects the nature of biological computing. While plants and ant colonies both perform distributed computing, in plants the units occupy fixed positions while individual ants move around. This distinction, solid versus liquid brain computing, shapes the nature of computations. Here we compare information processing in plants and ant colonies, highlighting how similarities and differences originate in, as well as make use of, the differences in embodiment. We end with a discussion on how this embodiment perspective may inform the debate on plant cognition.
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Affiliation(s)
- Laura van Schijndel
- Laboratory of Genetics, Department of Plant Sciences, Wageningen University, Wageningen, The Netherlands
| | - Basten L. Snoek
- Bioinformatics Group, Department of Biology, Utrecht University, Utrecht, The Netherlands
| | - Kirsten ten Tusscher
- Computational Developmental Biology Group, Department of Biology, Utrecht University, Utrecht, The Netherlands
- Author for correspondence: K. ten Tusscher, E-mail:
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8
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Nauta J, Khaluf Y, Simoens P. Resource ephemerality influences effectiveness of altruistic behavior in collective foraging. SWARM INTELLIGENCE 2021. [DOI: 10.1007/s11721-021-00205-6] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 11/28/2022]
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9
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Field evidence supporting monitoring of chemical information on pathways by male African elephants. Anim Behav 2021. [DOI: 10.1016/j.anbehav.2021.04.004] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/17/2022]
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10
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Oberhauser FB, Wendt S, Czaczkes TJ. Trail Pheromone Does Not Modulate Subjective Reward Evaluation in Lasius niger Ants. Front Psychol 2020; 11:555576. [PMID: 33071878 PMCID: PMC7540218 DOI: 10.3389/fpsyg.2020.555576] [Citation(s) in RCA: 2] [Impact Index Per Article: 0.5] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 04/25/2020] [Accepted: 09/01/2020] [Indexed: 11/29/2022] Open
Abstract
Comparing the value of options is at the heart of economic decision-making. While an option may have an absolute quality (e.g. a food source has a fixed energy content), the perceived value of the option may be malleable. The factors affecting the perceived value of an option may thus strongly influence which option is ultimately chosen. Expectations have been shown to be a strong driver of perceived value in both humans and social insects, causing an undervaluation of a given option if a better option was expected, and an overvaluation if a poorer one was expected. In humans, perceived value can be strongly affected by social information. Value perception in some insects has also been shown to be affected by social information, showing conformism as in humans and other animals. Here, over a series of experiments, we tested whether pheromone trail presence, a social information source, influenced the perceived value of a food source in the ant Lasius niger. We found that the presence of pheromone trails leading to a sucrose solution does not influence food acceptance, pheromone deposition when returning from a food source, drinking time, or frequency of U-turns on return from the food. Two further assays for measuring changes in food acceptance, designed to increase sensitivity by avoiding ceiling effects, also showed no effect of pheromone presence on food acceptance. In a separate study, L. niger have also been found to show no preference for, or avoidance of, odors associated with foods found in the presence of pheromone. We are thus confident that trail pheromone presence does not affect the perceived value of a food source in these ants.
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Affiliation(s)
- Felix B Oberhauser
- Animal Comparative Economics Laboratory, University of Regensburg, Regensburg, Germany.,Centre for the Advanced Study of Collective Behaviour, University of Konstanz, Konstanz, Germany
| | - Stephanie Wendt
- Animal Comparative Economics Laboratory, University of Regensburg, Regensburg, Germany
| | - Tomer J Czaczkes
- Animal Comparative Economics Laboratory, University of Regensburg, Regensburg, Germany
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11
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Lehue M, Detrain C. Foraging through multiple nest holes: An impediment to collective decision-making in ants. PLoS One 2020; 15:e0234526. [PMID: 32609769 PMCID: PMC7329192 DOI: 10.1371/journal.pone.0234526] [Citation(s) in RCA: 3] [Impact Index Per Article: 0.8] [Reference Citation Analysis] [Abstract] [MESH Headings] [Grants] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 03/10/2020] [Accepted: 05/26/2020] [Indexed: 12/02/2022] Open
Abstract
In social insects, collective choices between food sources are based on self-organized mechanisms where information about resources are locally processed by the foragers. Such a collective decision emerges from the competition between pheromone trails leading to different resources but also between the recruiting stimuli emitted by successful foragers at nest entrances. In this study, we investigated how an additional nest entrance influences the ability of Myrmica rubra ant colonies to exploit two food sources of different quality (1M and 0.1M sucrose solution) and to select the most rewarding one. We found that the mobilisation of workers doubled in two-entrance nests compared to one-entrance nests but that ants were less likely to reach a food source once they exited the nest. Moreover, the collective selection of the most rewarding food source was less marked in two-entrance nests, with foragers distributing themselves evenly between the two feeders. Ultimately, multiple nest entrances reduced the foraging efficiency of ant colonies that consumed significantly less sugar out of the two available resources. Our results highlight that the nest structure, more specifically the number of nest entrances, can impede the ant's ability to process information about environmental opportunities and to select the most rewarding resource. This study opens new insights on how the physical interface between the nest interior and the outside environment can act upon collective decision-making and foraging efficiency in self-organized insect societies.
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Affiliation(s)
- Marine Lehue
- Unit of Social Ecology (CP.231), Université Libre de
Bruxelles, Brussels, Belgium
| | - Claire Detrain
- Unit of Social Ecology (CP.231), Université Libre de
Bruxelles, Brussels, Belgium
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12
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Wendt S, Kleinhoelting N, Czaczkes TJ. Negative feedback: ants choose unoccupied over occupied food sources and lay more pheromone to them. J R Soc Interface 2020; 17:20190661. [PMID: 32093538 DOI: 10.1098/rsif.2019.0661] [Citation(s) in RCA: 11] [Impact Index Per Article: 2.8] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 01/08/2023] Open
Abstract
In order to make effective collective decisions, ants lay pheromone trails to lead nest-mates to acceptable food sources. The strength of a trail informs other ants about the quality of a food source, allowing colonies to exploit the most profitable resources. However, recruiting too many ants to a single food source can lead to over-exploitation, queuing, and thus decreased food intake for the colony. The nonlinear nature of pheromonal recruitment can also lead colonies to become trapped in suboptimal decisions, if the environment changes. Negative feedback systems can ameliorate these problems. We investigated a potential source of negative feedback: whether the presence of nest-mates makes food sources more or less attractive. Lasius niger workers were trained to food sources of identical quality, scented with different odours. Ants fed alone at one odour. At the other odour ants fed either with other feeding nest-mates, or with dummy ants (black surface lipid-coated glass beads). Ants tended to avoid food sources at which other nest-mates were present. They also deposited less pheromone to occupied food sources, suggesting an active avoidance behaviour, and potentiating negative feedback. This effect may prevent crowding at a single food source when other profitable food sources are available elsewhere, leading to a higher collective food intake. It could also potentially protect colonies from becoming trapped in local feeding optima. However, ants did not avoid the food associated with dummy ants, suggesting that surface lipids and static visual cues alone may not be sufficient for nest-mate recognition in this context.
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Affiliation(s)
- Stephanie Wendt
- Animal Comparative Economics Laboratory, Institute of Zoology and Evolutionary Biology, University of Regensburg, 93053 Regensburg, Germany
| | - Nico Kleinhoelting
- Animal Comparative Economics Laboratory, Institute of Zoology and Evolutionary Biology, University of Regensburg, 93053 Regensburg, Germany.,Faculty of Medicine, University Hospital Regensburg, 93042 Regensburg, Germany
| | - Tomer J Czaczkes
- Animal Comparative Economics Laboratory, Institute of Zoology and Evolutionary Biology, University of Regensburg, 93053 Regensburg, Germany
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