2019
DOI: 10.1098/rsif.2019.0398
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Planktonic encounter rates with non-spherical encounter zones

Abstract: We present general formulae for planktonic predator–prey encounter rates with encounter zones of convex shape and randomly moving point-like prey with ballistic motion. When the predator is not moving, we show that the encounter rate is independent of the shape of the encounter zone around it and proportional to the product of the surface area of the encounter zone and the prey speed. By contrast, the shape of the encounter zone plays a role when both the predator and the prey are moving. Slow predator motion … Show more

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Cited by 6 publications
(9 citation statements)
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“…Individual behaviour can be modulated by triggers acting at different scales [40]. When both organisms involved in the interaction are moving, the shape of the encounter zone may impact the effective encounter rate [67]. The assumption of a spherical encounter zone for C. typicus , however, can be considered a valid oversimplification at least in the framework of the process-oriented model here outlined.…”
Section: Discussionmentioning
confidence: 99%
See 1 more Smart Citation
“…Individual behaviour can be modulated by triggers acting at different scales [40]. When both organisms involved in the interaction are moving, the shape of the encounter zone may impact the effective encounter rate [67]. The assumption of a spherical encounter zone for C. typicus , however, can be considered a valid oversimplification at least in the framework of the process-oriented model here outlined.…”
Section: Discussionmentioning
confidence: 99%
“…Individual behaviour can be modulated by triggers acting at different scales [40]. When both organisms involved in the interaction are moving, the shape of the encounter zone may impact the effective encounter rate [67].…”
Section: Adapting To Crowding: Ecological Implicationsmentioning
confidence: 99%
“…The model builds on experimental data to derive a general framework that can be applied to other species with intermittent motion. Being semi-empirical, it avoids relying on simplifying assumptions that are common to most existing theoretical formulations, for instance that organisms have a constant ballistic or diffusive motion [27,50]. The model only requires empirical quantities that are easy to measure, ensuring its applicability beyond the species and experimental conditions considered in this work.…”
Section: Predicting Plankton Encounter Rates In Turbulencementioning
confidence: 99%
“…Within this approach the rotation induced by the flow on the particles can be computed by the Jeffery's equations [16]. Scientists have studied various aspects of these models as a function of shape, motility, and the turbulent flow [17,19,23,24,36,38,72,101,[104][105][106]. In our case we contributed to the current scientific knowledge by carrying out systematic measurements of rotation rates and transport properties of microswimmers in turbulence as a function of their shape and motility.…”
Section: Dispersion Statistics and Collision Rates Of Motile Ellipsoi...mentioning
confidence: 99%
“…In cloud microphysics [57,102,103], for example, shape and size dependent collision rates play a big role in particle clustering and growth, leading to rain droplet formation and growth. When studying the collision rates of planktonic organisms the effect of motility turned out to be critical in determining collision rates [104,105], while at the same time, the geometry of the colliding particles plays a crucial role in fixing collision rates [106]. Despite this extensive range of works, a comprehensive analysis of the effect of both shape and motility on collision rates and dispersion statistics is currently missing.…”
Section: Introductionmentioning
confidence: 99%