A theoretical foundation for multi-scale regular vegetation patterns

Empirically validated mathematical models show that a combination of intraspecific competition between subterranean social-insect colonies and scale-dependent feedbacks between plants can explain the spatially periodic vegetation patterns observed in many landscapes, such as the Namib Desert ‘fairy...

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Vydané v:Nature (London) Ročník 541; číslo 7637; s. 398 - 401
Hlavní autori: Tarnita, Corina E., Bonachela, Juan A., Sheffer, Efrat, Guyton, Jennifer A., Coverdale, Tyler C., Long, Ryan A., Pringle, Robert M.
Médium: Journal Article
Jazyk:English
Vydavateľské údaje: London Nature Publishing Group UK 19.01.2017
Nature Publishing Group
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ISSN:0028-0836, 1476-4687, 1476-4687
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Abstract Empirically validated mathematical models show that a combination of intraspecific competition between subterranean social-insect colonies and scale-dependent feedbacks between plants can explain the spatially periodic vegetation patterns observed in many landscapes, such as the Namib Desert ‘fairy circles’. The many causes of fairy circles Desert grasslands in parts of Namibia are punctuated by regularly patterned patches of bare soil known as fairy circles, the origins of which have remained unclear. Corina Tarnita, Juan Bonachela and colleagues use theoretical modelling and image analysis to show that a combination of scale-dependent feedbacks between plants and territorial competition between subterranean social-insect colonies can explain these features. They conclude that multiple mechanisms of self-organization are probably at play in ecosystems across the world. Self-organized regular vegetation patterns are widespread 1 and thought to mediate ecosystem functions such as productivity and robustness 2 , 3 , 4 , but the mechanisms underlying their origin and maintenance remain disputed. Particularly controversial are landscapes of overdispersed (evenly spaced) elements, such as North American Mima mounds, Brazilian murundus , South African heuweltjies , and, famously, Namibian fairy circles 5 , 6 , 7 , 8 , 9 , 10 , 11 , 12 , 13 . Two competing hypotheses are currently debated. On the one hand, models of scale-dependent feedbacks, whereby plants facilitate neighbours while competing with distant individuals, can reproduce various regular patterns identified in satellite imagery 1 , 14 , 15 . Owing to deep theoretical roots and apparent generality, scale-dependent feedbacks are widely viewed as a unifying and near-universal principle of regular-pattern formation 1 , 16 , 17 despite scant empirical evidence 18 . On the other hand, many overdispersed vegetation patterns worldwide have been attributed to subterranean ecosystem engineers such as termites, ants, and rodents 3 , 4 , 7 , 19 , 20 , 21 , 22 . Although potentially consistent with territorial competition 19 , 20 , 21 , 23 , 24 , this interpretation has been challenged theoretically and empirically 11 , 17 , 24 , 25 , 26 and (unlike scale-dependent feedbacks) lacks a unifying dynamical theory, fuelling scepticism about its plausibility and generality 5 , 9 , 10 , 11 , 16 , 17 , 18 , 24 , 25 , 26 . Here we provide a general theoretical foundation for self-organization of social-insect colonies, validated using data from four continents, which demonstrates that intraspecific competition between territorial animals can generate the large-scale hexagonal regularity of these patterns. However, this mechanism is not mutually exclusive with scale-dependent feedbacks. Using Namib Desert fairy circles as a case study, we present field data showing that these landscapes exhibit multi-scale patterning—previously undocumented in this system—that cannot be explained by either mechanism in isolation. These multi-scale patterns and other emergent properties, such as enhanced resistance to and recovery from drought, instead arise from dynamic interactions in our theoretical framework, which couples both mechanisms. The potentially global extent of animal-induced regularity in vegetation—which can modulate other patterning processes in functionally important ways—emphasizes the need to integrate multiple mechanisms of ecological self-organization 27 .
AbstractList Self-organized regular vegetation patterns are widespread and thought to mediate ecosystem functions such as productivity and robustness, but the mechanisms underlying their origin and maintenance remain disputed. Particularly controversial are landscapes of overdispersed (evenly spaced) elements, such as North American Mima mounds, Brazilian murundus, South African heuweltjies, and, famously, Namibian fairy circles. Two competing hypotheses are currently debated. On the one hand, models of scale-dependent feedbacks, whereby plants facilitate neighbours while competing with distant individuals, can reproduce various regular patterns identified in satellite imagery. Owing to deep theoretical roots and apparent generality, scale-dependent feedbacks are widely viewed as a unifying and near-universal principle of regular-pattern formation despite scant empirical evidence. On the other hand, many overdispersed vegetation patterns worldwide have been attributed to subterranean ecosystem engineers such as termites, ants, and rodents. Although potentially consistent with territorial competition, this interpretation has been challenged theoretically and empirically and (unlike scale-dependent feedbacks) lacks a unifying dynamical theory, fuelling scepticism about its plausibility and generality. Here we provide a general theoretical foundation for self-organization of social-insect colonies, validated using data from four continents, which demonstrates that intraspecific competition between territorial animals can generate the large-scale hexagonal regularity of these patterns. However, this mechanism is not mutually exclusive with scale-dependent feedbacks. Using Namib Desert fairy circles as a case study, we present field data showing that these landscapes exhibit multi-scale patterning-previously undocumented in this system-that cannot be explained by either mechanism in isolation. These multi-scale patterns and other emergent properties, such as enhanced resistance to and recovery from drought, instead arise from dynamic interactions in our theoretical framework, which couples both mechanisms. The potentially global extent of animal-induced regularity in vegetation-which can modulate other patterning processes in functionally important ways-emphasizes the need to integrate multiple mechanisms of ecological self-organization.Self-organized regular vegetation patterns are widespread and thought to mediate ecosystem functions such as productivity and robustness, but the mechanisms underlying their origin and maintenance remain disputed. Particularly controversial are landscapes of overdispersed (evenly spaced) elements, such as North American Mima mounds, Brazilian murundus, South African heuweltjies, and, famously, Namibian fairy circles. Two competing hypotheses are currently debated. On the one hand, models of scale-dependent feedbacks, whereby plants facilitate neighbours while competing with distant individuals, can reproduce various regular patterns identified in satellite imagery. Owing to deep theoretical roots and apparent generality, scale-dependent feedbacks are widely viewed as a unifying and near-universal principle of regular-pattern formation despite scant empirical evidence. On the other hand, many overdispersed vegetation patterns worldwide have been attributed to subterranean ecosystem engineers such as termites, ants, and rodents. Although potentially consistent with territorial competition, this interpretation has been challenged theoretically and empirically and (unlike scale-dependent feedbacks) lacks a unifying dynamical theory, fuelling scepticism about its plausibility and generality. Here we provide a general theoretical foundation for self-organization of social-insect colonies, validated using data from four continents, which demonstrates that intraspecific competition between territorial animals can generate the large-scale hexagonal regularity of these patterns. However, this mechanism is not mutually exclusive with scale-dependent feedbacks. Using Namib Desert fairy circles as a case study, we present field data showing that these landscapes exhibit multi-scale patterning-previously undocumented in this system-that cannot be explained by either mechanism in isolation. These multi-scale patterns and other emergent properties, such as enhanced resistance to and recovery from drought, instead arise from dynamic interactions in our theoretical framework, which couples both mechanisms. The potentially global extent of animal-induced regularity in vegetation-which can modulate other patterning processes in functionally important ways-emphasizes the need to integrate multiple mechanisms of ecological self-organization.
Empirically validated mathematical models show that a combination of intraspecific competition between subterranean social-insect colonies and scale-dependent feedbacks between plants can explain the spatially periodic vegetation patterns observed in many landscapes, such as the Namib Desert ‘fairy circles’. The many causes of fairy circles Desert grasslands in parts of Namibia are punctuated by regularly patterned patches of bare soil known as fairy circles, the origins of which have remained unclear. Corina Tarnita, Juan Bonachela and colleagues use theoretical modelling and image analysis to show that a combination of scale-dependent feedbacks between plants and territorial competition between subterranean social-insect colonies can explain these features. They conclude that multiple mechanisms of self-organization are probably at play in ecosystems across the world. Self-organized regular vegetation patterns are widespread 1 and thought to mediate ecosystem functions such as productivity and robustness 2 , 3 , 4 , but the mechanisms underlying their origin and maintenance remain disputed. Particularly controversial are landscapes of overdispersed (evenly spaced) elements, such as North American Mima mounds, Brazilian murundus , South African heuweltjies , and, famously, Namibian fairy circles 5 , 6 , 7 , 8 , 9 , 10 , 11 , 12 , 13 . Two competing hypotheses are currently debated. On the one hand, models of scale-dependent feedbacks, whereby plants facilitate neighbours while competing with distant individuals, can reproduce various regular patterns identified in satellite imagery 1 , 14 , 15 . Owing to deep theoretical roots and apparent generality, scale-dependent feedbacks are widely viewed as a unifying and near-universal principle of regular-pattern formation 1 , 16 , 17 despite scant empirical evidence 18 . On the other hand, many overdispersed vegetation patterns worldwide have been attributed to subterranean ecosystem engineers such as termites, ants, and rodents 3 , 4 , 7 , 19 , 20 , 21 , 22 . Although potentially consistent with territorial competition 19 , 20 , 21 , 23 , 24 , this interpretation has been challenged theoretically and empirically 11 , 17 , 24 , 25 , 26 and (unlike scale-dependent feedbacks) lacks a unifying dynamical theory, fuelling scepticism about its plausibility and generality 5 , 9 , 10 , 11 , 16 , 17 , 18 , 24 , 25 , 26 . Here we provide a general theoretical foundation for self-organization of social-insect colonies, validated using data from four continents, which demonstrates that intraspecific competition between territorial animals can generate the large-scale hexagonal regularity of these patterns. However, this mechanism is not mutually exclusive with scale-dependent feedbacks. Using Namib Desert fairy circles as a case study, we present field data showing that these landscapes exhibit multi-scale patterning—previously undocumented in this system—that cannot be explained by either mechanism in isolation. These multi-scale patterns and other emergent properties, such as enhanced resistance to and recovery from drought, instead arise from dynamic interactions in our theoretical framework, which couples both mechanisms. The potentially global extent of animal-induced regularity in vegetation—which can modulate other patterning processes in functionally important ways—emphasizes the need to integrate multiple mechanisms of ecological self-organization 27 .
Self-organized regular vegetation patterns are widespread1 and thought to mediate ecosystem functions such as productivity and robustness2-4, but the mechanisms underlying their origin and maintenance remain disputed. Particularly controversial are landscapes of overdispersed (evenly spaced) elements, such as North American Mima mounds, Brazilian murundus, South African heuweltjies, and, famously, Namibian fairy circles5-13. Two competing hypotheses are currently debated. On the one hand, models of scale-dependent feedbacks, whereby plants facilitate neighbours while competing with distant individuals, can reproduce various regular patterns identified in satellite imagery1,14,15. Owing to deep theoretical roots and apparent generality, scale-dependent feedbacks are widely viewed as a unifying and near-universal principle of regular-pattern formation1,16,17 despite scant empirical evidence18. On the other hand, many overdispersed vegetation patterns worldwide have been attributed to subterranean ecosystem engineers such as termites, ants, and rodents3,4,7,19-22. Although potentially consistent with territorial competition19-21,23,24, this interpretation has been challenged theoretically and empirically11 ,17,24-26 and (unlike scale-dependent feedbacks) lacks a unifying dynamical theory, fuelling scepticism about its plausibility and generality5,9-11,16-18,24-26. Here we provide a general theoretical foundation for self-organization of social-insect colonies, validated using data from four continents, which demonstrates that intraspecific competition between territorial animals can generate the large-scale hexagonal regularity of these patterns. However, this mechanism is not mutually exclusive with scale-dependent feedbacks. Using Namib Desert fairy circles as a case study, we present field data showing that these landscapes exhibit multi-scale patterning-previously undocumented in this system-that cannot be explained by either mechanism in isolation. These multi-scale patterns and other emergent properties, such as enhanced resistance to and recovery from drought, instead arise from dynamic interactions in our theoretical framework, which couples both mechanisms. The potentially global extent of animal-induced regularity in vegetation-which can modulate other patterning processes in functionally important ways- emphasizes the need to integrate multiple mechanisms of ecological self-organization27.
Self-organized regular vegetation patterns are widespread and thought to mediate ecosystem functions such as productivity and robustness, but the mechanisms underlying their origin and maintenance remain disputed. Particularly controversial are landscapes of overdispersed (evenly spaced) elements, such as North American Mima mounds, Brazilian murundus, South African heuweltjies, and, famously, Namibian fairy circles. Two competing hypotheses are currently debated. On the one hand, models of scale-dependent feedbacks, whereby plants facilitate neighbours while competing with distant individuals, can reproduce various regular patterns identified in satellite imagery. Owing to deep theoretical roots and apparent generality, scale-dependent feedbacks are widely viewed as a unifying and near-universal principle of regular-pattern formation despite scant empirical evidence. On the other hand, many overdispersed vegetation patterns worldwide have been attributed to subterranean ecosystem engineers such as termites, ants, and rodents. Although potentially consistent with territorial competition, this interpretation has been challenged theoretically and empirically and (unlike scale-dependent feedbacks) lacks a unifying dynamical theory, fuelling scepticism about its plausibility and generality. Here we provide a general theoretical foundation for self-organization of social-insect colonies, validated using data from four continents, which demonstrates that intraspecific competition between territorial animals can generate the large-scale hexagonal regularity of these patterns. However, this mechanism is not mutually exclusive with scale-dependent feedbacks. Using Namib Desert fairy circles as a case study, we present field data showing that these landscapes exhibit multi-scale patterning-previously undocumented in this system-that cannot be explained by either mechanism in isolation. These multi-scale patterns and other emergent properties, such as enhanced resistance to and recovery from drought, instead arise from dynamic interactions in our theoretical framework, which couples both mechanisms. The potentially global extent of animal-induced regularity in vegetation-which can modulate other patterning processes in functionally important ways-emphasizes the need to integrate multiple mechanisms of ecological self-organization.
Audience Academic
Author Long, Ryan A.
Pringle, Robert M.
Bonachela, Juan A.
Coverdale, Tyler C.
Tarnita, Corina E.
Sheffer, Efrat
Guyton, Jennifer A.
Author_xml – sequence: 1
  givenname: Corina E.
  surname: Tarnita
  fullname: Tarnita, Corina E.
  email: ctarnita@princeton.edu
  organization: Department of Ecology and Evolutionary Biology, Princeton University, Mpala Research Center
– sequence: 2
  givenname: Juan A.
  surname: Bonachela
  fullname: Bonachela, Juan A.
  email: juan.bonachela@strath.ac.uk
  organization: Department of Mathematics and Statistics, Marine Population Modelling Group, University of Strathclyde
– sequence: 3
  givenname: Efrat
  surname: Sheffer
  fullname: Sheffer, Efrat
  organization: The Robert H. Smith Institute for Plant Sciences and Genetics in Agriculture, The Faculty of Agriculture, Hebrew University of Jerusalem
– sequence: 4
  givenname: Jennifer A.
  surname: Guyton
  fullname: Guyton, Jennifer A.
  organization: Department of Ecology and Evolutionary Biology, Princeton University
– sequence: 5
  givenname: Tyler C.
  surname: Coverdale
  fullname: Coverdale, Tyler C.
  organization: Department of Ecology and Evolutionary Biology, Princeton University
– sequence: 6
  givenname: Ryan A.
  surname: Long
  fullname: Long, Ryan A.
  organization: Department of Fish and Wildlife Services, University of Idaho
– sequence: 7
  givenname: Robert M.
  surname: Pringle
  fullname: Pringle, Robert M.
  organization: Department of Ecology and Evolutionary Biology, Princeton University, Mpala Research Center
BackLink https://www.ncbi.nlm.nih.gov/pubmed/28102267$$D View this record in MEDLINE/PubMed
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ContentType Journal Article
Copyright Macmillan Publishers Limited, part of Springer Nature. All rights reserved. 2017
COPYRIGHT 2017 Nature Publishing Group
Copyright Nature Publishing Group Jan 19, 2017
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Snippet Empirically validated mathematical models show that a combination of intraspecific competition between subterranean social-insect colonies and scale-dependent...
Self-organized regular vegetation patterns are widespread and thought to mediate ecosystem functions such as productivity and robustness, but the mechanisms...
Self-organized regular vegetation patterns are widespread1 and thought to mediate ecosystem functions such as productivity and robustness2-4, but the...
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SubjectTerms 631/158/1144
631/158/2165
631/158/2445
631/158/2451
631/158/853
Analysis
Animals
Competitive Behavior
Drought
Droughts
Ecological function
Ecology
Ecosystems
Feedback, Physiological
Grassland
Humanities and Social Sciences
Insects
Isoptera - physiology
letter
Methods
Models, Biological
Mounds
multidisciplinary
Namibia
Plants
Reproducibility of Results
Science
Vegetation
Vegetation management
Vegetation patterns
Title A theoretical foundation for multi-scale regular vegetation patterns
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