Diffusion in fractal landscapes: simulations and experimental studies of tenebrionid beetle movements

A study examines anomalous diffusion in field studies of Eleodes beetles and in simulations of correlated random walks on maps or real and artificial landscapes. It is shown how diffusion alternates between ordinary and anomalous diffusion depending on movement rules, landscape pattern and the spati...

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Veröffentlicht in:Ecology (Durham) Jg. 73; H. 6; S. 1968 - 1983
Hauptverfasser: Johnson, A.R, Milne, B.T, Wiens, J.A
Format: Journal Article
Sprache:Englisch
Veröffentlicht: Washington, DC Ecological Society of America 01.12.1992
Brooklyn Botanic Garden, etc
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ISSN:0012-9658, 1939-9170
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Abstract A study examines anomalous diffusion in field studies of Eleodes beetles and in simulations of correlated random walks on maps or real and artificial landscapes. It is shown how diffusion alternates between ordinary and anomalous diffusion depending on movement rules, landscape pattern and the spatial and temporal scales of observation.
AbstractList Organismal movement is frequently treated as a diffusion process arising from a simple random walk in a spatially uniform environment. However, anomalous diffusion may arise due to: (1) intrinsic departures from random movements of individuals; or (2) the effects of barriers that impede, or corridors that facilitate, movement. We examine anomalous diffusion in field studies of Eleodes beetles (Coleoptera: Tenebrionidae) and in simulations of correlated random walks on maps of real and artificial landscapes. We show how diffusion alternates between ordinary and anomalous diffusion depending on movement rules, landscape pattern, and the spatial and temporal scales of observation. Recent theories of diffusion in spatially complex media predict power law relations for anomalous diffusion. Over time scales of 5-500 s, Eleodes exhibited power laws for : (1) mean squared displacement with time; and (2) the mean time to travel from the center to the perimeter of circles of various radii. In grasslands, diffusion exponents changed significantly at a radius of 42 cm, which characterized the size of grass and bare soil patches. A second change in diffusion at scales of 24-600 h characterized home range activity. Marked discrepancies between the dynamics of beetles in the field and in simulations suggest a need for more comprehensive models of individual movement that use different rules for various domains of space and time. Studies of anomalous diffusion identify the relative effects of environment vs. innate behavior and reveal a range of scales over which the effects pertain.
A study examines anomalous diffusion in field studies of Eleodes beetles and in simulations of correlated random walks on maps or real and artificial landscapes. It is shown how diffusion alternates between ordinary and anomalous diffusion depending on movement rules, landscape pattern and the spatial and temporal scales of observation.
Organismal movement is frequently treated as a diffusion process arising from a simple random walk in a spatially uniform environment. However, anomalous diffusion may arise due to: (1) intrinsic departures from random movements of individuals; or (2) the effects of barriers that impede, or corridors that facilitate, movement. We examine anomalous diffusion in field studies of Eleodes beetles (Coleoptera: Tenebrionidae) and in simulations of correlated random walks on maps of real and artificial landscapes. We show how diffusion alternates between ordinary and anomalous diffusion depending on movement rules, landscape pattern, and the spatial and temporal scales of observation. Recent theories of diffusion in spatially complex media predict power law relations for anomalous diffusion. Over time scales of 5-500 s, Eleodes exhibited power laws for: (1) mean squared displacement with time; and (2) the mean time to travel from the center to the perimeter of circles of various radii. In grasslands, diffusion exponents changed significantly at a radius of 42 cm, which characterized the size of grass and bare soil patches. A second change in diffusion at scales of 24-600 h characterized home range activity. Marked discrepancies between the dynamics of beetles in the field and in simulations suggest a need for more comprehensive models of individual movement that use different rules for various domains of space and time. Studies of anomalous diffusion identify the relative effects of environment vs. innate behavior and reveal a range of scales over which the effects pertain. 41 refs., 12 figs., 4 tabs.
Author Milne, B.T
Wiens, J.A
Johnson, A.R
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Issue 6
Keywords Spatial variability
Landscape
Coleoptera
Theory
Insecta
Fractal system
Animal active movement
Tenebrionidae
Heterogeneity
Random walk model
Arthropoda
Simulation model
Invertebrata
Diffusion
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PublicationTitle Ecology (Durham)
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Brooklyn Botanic Garden, etc
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Snippet A study examines anomalous diffusion in field studies of Eleodes beetles and in simulations of correlated random walks on maps or real and artificial...
Organismal movement is frequently treated as a diffusion process arising from a simple random walk in a spatially uniform environment. However, anomalous...
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StartPage 1968
SubjectTerms 990200 -- Mathematics & Computers
animal behavior
Animal, plant and microbial ecology
ANIMALS
ARTHROPODS
BASIC BIOLOGICAL SCIENCES
BEETLES
Biological and medical sciences
BIOLOGICAL MODELS
COLEOPTERA
computer simulation
conservation areas
DIFFUSION
Eleodes
environmental factors
FICK LAWS
FRACTALS
Fundamental and applied biological sciences. Psychology
GENERAL AND MISCELLANEOUS//MATHEMATICS, COMPUTING, AND INFORMATION SCIENCE
General aspects. Techniques
Generalities
INSECTS
Invertebrates
INVERTEBRATES 550100 -- Behavioral Biology
landscapes
MOTION
movement
New Mexico
RANDOMNESS
seville national wildlife refuge, new mexico
simulation models
spatial distribution
Tenebrionidae
walking
Title Diffusion in fractal landscapes: simulations and experimental studies of tenebrionid beetle movements
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