Models and measures of animal aggregation and dispersal

Broom, Mark; Erovenko, Igor V.; Rowell, Jonathan T.; Rychtář, Jan

doi:10.1016/j.jtbi.2019.110002

Cited by 6 publications

(4 citation statements)

References 98 publications

(141 reference statements)

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“…In terms of our model potential, the other ants in the cell exert a force on any given ant that points radially away from a reference ant. Aggregation in biological systems is known to have evolutionary advantages 38 and remains an active area of study with a variety of wellknown theoretical models 39,40 , including some successful models that propose a density-dependent motility 41,42 and bear a striking resemblance to the formalism of MIPS 19 . Under the right conditions, these models also predict stationary clusters with sharp edges embedded in an actively moving lower density background, consistent with the ant clusters we observe here.…”

Section: Discussionmentioning

confidence: 99%

Social interactions lead to motility-induced phase separation in fire ants

Anderson

Fernández‐Nieves

2022

Nat Commun

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Collections of fire ants are a form of active matter, as the ants use their internal metabolism to self-propel. In the absence of aligning interactions, theory and simulations predict that active matter with spatially dependent motility can undergo motility-induced phase separation. However, so far in experiments, the motility effects that drive this process have come from either crowding or an external parameter. Though fire ants are social insects that communicate and cooperate in nontrivial ways, we show that the effect of their interactions can also be understood within the framework of motility-induced phase separation. In this context, the slowing down of ants when they approach each other results in an effective attraction that can lead to space-filling clusters and an eventual formation of dynamical heterogeneities. These results illustrate that motility-induced phase separation can provide a unifying framework to rationalize the behavior of a wide variety of active matter systems.

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Section: Discussionmentioning

confidence: 99%

Social interactions lead to motility-induced phase separation in fire ants

Anderson

Fernández‐Nieves

2022

Nat Commun

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“…Broom et al [25] considered row dependence and developed a general method for generating correlated movement in a history-independent process. In particular a suite of methodologies for generating animal dispersal patterns was developed.…”

Section: Breaking Row Independence: the Correlated Movement Modelmentioning

confidence: 99%

“…distribution, which was the baseline of comparison for other models. Broom et al [25] also considered different urn models in this context, for example the Polya urn [44]. Furthermore, we devised a procedure, called the wheel, that could generate movement distributions with prescribed probabilities to visit specific places and with varying degrees of coordination between the individuals.…”

Section: Breaking Row Independence: the Correlated Movement Modelmentioning

confidence: 99%

“…This is a variant of a stars and bars problem [34], and it is well known that there are Another natural way to construct such models is to specify the quality of each place (i.e. M parameters in total); this is done, for example, in the ideal free distribution model [31,35] or, more generally, in habitat selection games [19,25].…”

Section: History-independent Correlated Movement Modelmentioning

confidence: 99%

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Modelling Evolution in Structured Populations Involving Multiplayer Interactions

2020

Self Cite

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We consider models of evolution in structured populations involving multiplayer games. Whilst also discussing other models, we focus on the modelling framework developed by Broom and Rychtář (J Theor Biol 302:70-80, 2012) onwards. This includes key progress so far, the main gaps and limitations, the relationship and synergies with other models and a discussion of the direction of future work. In this regard as well as discussing existing work, there is some new research on the applicability and robustness of current models with respect to using them to model real populations. This is an important potential advance, as previously all of the work has been entirely theoretical. In particular, the most complex models will have many parameters, and we concentrate on considering simpler versions with a small number of parameters which still possess the key features which would make them applicable. We find that these models are generally robust, in particular issues that can arise related to small payoff changes at critical values and removal of pivotal vertices would have similar effects on other modelling system including evolutionary graph theory. These often occur where it can be argued that there is a lack of robustness in the real system that the model faithfully picks up, and so is not a problematic feature.

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The effects of herding and dispersal behaviour on the evolution of cooperation on complete networks

Haq,

Schimit,

Broom

2024

J. Math. Biol.

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Evolutionary graph theory has considerably advanced the process of modelling the evolution of structured populations, which models the interactions between individuals as pairwise contests. In recent years, these classical evolution models have been extended to incorporate more realistic features, e.g. multiplayer games. A recent series of papers have developed a new evolutionary framework including structure, multiplayer interactions, evolutionary dynamics, and movement. However, so far, the developed models have mainly considered independent movement without coordinated behaviour. Although the theory underlying the framework has been developed and explored in various directions, several movement mechanisms have been produced which characterise coordinated movement, for example, herding. By embedding these newly constructed movement distributions, within the evolutionary setting of the framework, we demonstrate that certain levels of aggregation and dispersal benefit specific types of individuals. Moreover, by extending existing parameters within the framework, we are not only able to develop a general process of embedding any of the considered movement distributions into the evolutionary setting on complete graphs but also analytically produce the probability of fixation of a mutant on a complete N-sized network, for the multiplayer Public Goods and Hawk–Dove games. Also, by applying weak selection methods, we extended existing previous analyses on the pairwise Hawk–Dove Game to encompass the multiplayer version considered in this paper. By producing neutrality and equilibrium conditions, we show that hawks generally do worse in our models due to the multiplayer nature of the interactions.

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Models and measures of animal aggregation and dispersal

Cited by 6 publications

References 98 publications

Social interactions lead to motility-induced phase separation in fire ants

Social interactions lead to motility-induced phase separation in fire ants

Modelling Evolution in Structured Populations Involving Multiplayer Interactions

The effects of herding and dispersal behaviour on the evolution of cooperation on complete networks

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