A model for resolving the plankton paradox

Coexistence in open flows

I. Scheuring, G. Károlyi, Áron Péntek, T. Tél, Zoltán Toroczkai

Research output: Contribution to journalArticle

35 Citations (Scopus)

Abstract

1. Recent developments in the field of chaotic advection in hydrodynamical/environmental flows encourage us to revisit the population dynamics of competing species in open aquatic systems. 2. We assume that these species are in competition for a common limiting resource in open flows with chaotic advection dynamics. As an illustrative example, we consider a time periodic two-dimensional flow of viscous fluid (water) around a cylindrical obstacle. 3. Individuals accumulate along a fractal set in the wake of the cylinder, which acts as a catalyst for the biological reproduction process. While in homogeneous, well mixed environments only one species could survive this competition, coexistence of competitors is typical in our hydrodynamical system. 4. It is shown that a steady state sets in after sufficiently long times. In this state, the relative density of competitors is determined rather by the fractal nature of the spatial distribution of the advected species, and by their initial conditions, than by their competitive abilities. We argue that two factors, the strong chaotic mixing along a fractal set and the boundary layer around the obstacle, are responsible for the coexistence.

Original languageEnglish
Pages (from-to)123-132
Number of pages10
JournalFreshwater Biology
Volume45
Issue number2
DOIs
Publication statusPublished - 2000

Fingerprint

coexistence
plankton
advection
catalysts
two-dimensional flow
competitive ability
population dynamics
spatial distribution
boundary layer
catalyst
fluid
resource
water
fluids

Keywords

  • Chaotic advection
  • Environmental flow
  • Fractal set
  • Hydrodynamical flow
  • Population dynamics

ASJC Scopus subject areas

  • Aquatic Science

Cite this

A model for resolving the plankton paradox : Coexistence in open flows. / Scheuring, I.; Károlyi, G.; Péntek, Áron; Tél, T.; Toroczkai, Zoltán.

In: Freshwater Biology, Vol. 45, No. 2, 2000, p. 123-132.

Research output: Contribution to journalArticle

Scheuring, I. ; Károlyi, G. ; Péntek, Áron ; Tél, T. ; Toroczkai, Zoltán. / A model for resolving the plankton paradox : Coexistence in open flows. In: Freshwater Biology. 2000 ; Vol. 45, No. 2. pp. 123-132.
@article{09c5b4d8634b4b7ea56bbb722d8f85fe,
title = "A model for resolving the plankton paradox: Coexistence in open flows",
abstract = "1. Recent developments in the field of chaotic advection in hydrodynamical/environmental flows encourage us to revisit the population dynamics of competing species in open aquatic systems. 2. We assume that these species are in competition for a common limiting resource in open flows with chaotic advection dynamics. As an illustrative example, we consider a time periodic two-dimensional flow of viscous fluid (water) around a cylindrical obstacle. 3. Individuals accumulate along a fractal set in the wake of the cylinder, which acts as a catalyst for the biological reproduction process. While in homogeneous, well mixed environments only one species could survive this competition, coexistence of competitors is typical in our hydrodynamical system. 4. It is shown that a steady state sets in after sufficiently long times. In this state, the relative density of competitors is determined rather by the fractal nature of the spatial distribution of the advected species, and by their initial conditions, than by their competitive abilities. We argue that two factors, the strong chaotic mixing along a fractal set and the boundary layer around the obstacle, are responsible for the coexistence.",
keywords = "Chaotic advection, Environmental flow, Fractal set, Hydrodynamical flow, Population dynamics",
author = "I. Scheuring and G. K{\'a}rolyi and {\'A}ron P{\'e}ntek and T. T{\'e}l and Zolt{\'a}n Toroczkai",
year = "2000",
doi = "10.1046/j.1365-2427.2000.00665.x",
language = "English",
volume = "45",
pages = "123--132",
journal = "Freshwater Biology",
issn = "0046-5070",
publisher = "Wiley-Blackwell",
number = "2",

}

TY - JOUR

T1 - A model for resolving the plankton paradox

T2 - Coexistence in open flows

AU - Scheuring, I.

AU - Károlyi, G.

AU - Péntek, Áron

AU - Tél, T.

AU - Toroczkai, Zoltán

PY - 2000

Y1 - 2000

N2 - 1. Recent developments in the field of chaotic advection in hydrodynamical/environmental flows encourage us to revisit the population dynamics of competing species in open aquatic systems. 2. We assume that these species are in competition for a common limiting resource in open flows with chaotic advection dynamics. As an illustrative example, we consider a time periodic two-dimensional flow of viscous fluid (water) around a cylindrical obstacle. 3. Individuals accumulate along a fractal set in the wake of the cylinder, which acts as a catalyst for the biological reproduction process. While in homogeneous, well mixed environments only one species could survive this competition, coexistence of competitors is typical in our hydrodynamical system. 4. It is shown that a steady state sets in after sufficiently long times. In this state, the relative density of competitors is determined rather by the fractal nature of the spatial distribution of the advected species, and by their initial conditions, than by their competitive abilities. We argue that two factors, the strong chaotic mixing along a fractal set and the boundary layer around the obstacle, are responsible for the coexistence.

AB - 1. Recent developments in the field of chaotic advection in hydrodynamical/environmental flows encourage us to revisit the population dynamics of competing species in open aquatic systems. 2. We assume that these species are in competition for a common limiting resource in open flows with chaotic advection dynamics. As an illustrative example, we consider a time periodic two-dimensional flow of viscous fluid (water) around a cylindrical obstacle. 3. Individuals accumulate along a fractal set in the wake of the cylinder, which acts as a catalyst for the biological reproduction process. While in homogeneous, well mixed environments only one species could survive this competition, coexistence of competitors is typical in our hydrodynamical system. 4. It is shown that a steady state sets in after sufficiently long times. In this state, the relative density of competitors is determined rather by the fractal nature of the spatial distribution of the advected species, and by their initial conditions, than by their competitive abilities. We argue that two factors, the strong chaotic mixing along a fractal set and the boundary layer around the obstacle, are responsible for the coexistence.

KW - Chaotic advection

KW - Environmental flow

KW - Fractal set

KW - Hydrodynamical flow

KW - Population dynamics

UR - http://www.scopus.com/inward/record.url?scp=0033783483&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0033783483&partnerID=8YFLogxK

U2 - 10.1046/j.1365-2427.2000.00665.x

DO - 10.1046/j.1365-2427.2000.00665.x

M3 - Article

VL - 45

SP - 123

EP - 132

JO - Freshwater Biology

JF - Freshwater Biology

SN - 0046-5070

IS - 2

ER -