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  • 1
    Publication Date: 2011-05-25
    Description: Many animal paths have an intricate statistical pattern that manifests itself as a power law-like tail in the distribution of movement lengths. Such distributions occur if individuals move according to a Lévy flight (a mode of dispersal in which the distance moved follows a power law), or if there is variation between individuals such that some individuals move much farther than others. Distinguishing between these two mechanisms requires large quantities of data, which are not available for most species studied. Here, we analyze paths of black bean aphids (Aphis fabae Scopoli) and show that individual animals move in a predominantly diffusive manner, but that, because of variation at population level, they collectively appear to display superdiffusive characteristics, often interpreted as being characteristic for a Lévy flight.
    Print ISSN: 0027-8424
    Electronic ISSN: 1091-6490
    Topics: Biology , Medicine , Natural Sciences in General
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  • 2
    Publication Date: 2008-03-07
    Description: Complex dynamics are often shown by simple ecological models and have been clearly demonstrated in laboratory and natural systems. Yet many classes of theoretically possible dynamics are still poorly documented in nature. Here we study long-term time-series data of a midge, Tanytarsus gracilentus (Diptera: Chironomidae), in Lake Myvatn, Iceland. The midge undergoes density fluctuations of almost six orders of magnitude. Rather than regular cycles, however, these fluctuations have irregular periods of 4-7 years, indicating complex dynamics. We fit three consumer-resource models capable of qualitatively distinct dynamics to the data. Of these, the best-fitting model shows alternative dynamical states in the absence of environmental variability; depending on the initial midge densities, the model shows either fluctuations around a fixed point or high-amplitude cycles. This explains the observed complex population dynamics: high-amplitude but irregular fluctuations occur because stochastic variability causes the dynamics to switch between domains of attraction to the alternative states. In the model, the amplitude of fluctuations depends strongly on minute resource subsidies into the midge habitat. These resource subsidies may be sensitive to human-caused changes in the hydrology of the lake, with human impacts such as dredging leading to higher-amplitude fluctuations. Tanytarsus gracilentus is a key component of the Myvatn ecosystem, representing two-thirds of the secondary productivity of the lake and providing vital food resources to fish and to breeding bird populations. Therefore the high-amplitude, irregular fluctuations in midge densities generated by alternative dynamical states dominate much of the ecology of the lake.〈br /〉〈span class="detail_caption"〉Notes: 〈/span〉Ives, Anthony R -- Einarsson, Arni -- Jansen, Vincent A A -- Gardarsson, Arnthor -- England -- Nature. 2008 Mar 6;452(7183):84-7. doi: 10.1038/nature06610.〈br /〉〈span class="detail_caption"〉Author address: 〈/span〉Department of Zoology, University of Wisconsin-Madison, Madison, Wisconsin 53706, USA. arives@wisc.edu〈br /〉〈span class="detail_caption"〉Record origin:〈/span〉 〈a href="http://www.ncbi.nlm.nih.gov/pubmed/18322533" target="_blank"〉PubMed〈/a〉
    Keywords: Animals ; Chironomidae/*physiology ; Computer Simulation ; *Ecosystem ; Eukaryota/physiology ; Food ; *Fresh Water ; Iceland ; Models, Biological ; Population Density ; Stochastic Processes
    Print ISSN: 0028-0836
    Electronic ISSN: 1476-4687
    Topics: Biology , Chemistry and Pharmacology , Medicine , Natural Sciences in General , Physics
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  • 3
    Publication Date: 2012-03-01
    Description: de Jager et al. (Reports, 24 June 2011, p. 1551) concluded that mussels Levy walk. We confronted a larger model set with these data and found that mussels do not Levy walk: Their movement is best described by a composite Brownian walk. This shows how model selection based on an impoverished set of candidate models can lead to incorrect inferences.〈br /〉〈span class="detail_caption"〉Notes: 〈/span〉Jansen, Vincent A A -- Mashanova, Alla -- Petrovskii, Sergei -- BB/G007934/1/Biotechnology and Biological Sciences Research Council/United Kingdom -- New York, N.Y. -- Science. 2012 Feb 24;335(6071):918; author reply 918. doi: 10.1126/science.1215747.〈br /〉〈span class="detail_caption"〉Author address: 〈/span〉School of Biological Sciences, Royal Holloway, University of London, Surrey TW20 0EX, UK. vincent.jansen@rhul.ac.uk〈br /〉〈span class="detail_caption"〉Record origin:〈/span〉 〈a href="http://www.ncbi.nlm.nih.gov/pubmed/22362991" target="_blank"〉PubMed〈/a〉
    Keywords: Animals ; *Biological Evolution ; *Ecosystem ; Mytilus edulis/*physiology
    Print ISSN: 0036-8075
    Electronic ISSN: 1095-9203
    Topics: Biology , Chemistry and Pharmacology , Computer Science , Medicine , Natural Sciences in General , Physics
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  • 4
    Publication Date: 2003-08-09
    Description: 〈br /〉〈span class="detail_caption"〉Notes: 〈/span〉Jansen, V A A -- Stollenwerk, N -- Jensen, H J -- Ramsay, M E -- Edmunds, W J -- Rhodes, C J -- New York, N.Y. -- Science. 2003 Aug 8;301(5634):804.〈br /〉〈span class="detail_caption"〉Author address: 〈/span〉School of Biological Sciences, Royal Holloway University of London, Egham, Surrey TW20 0EX, UK. vincent.jansen@rhul.ac.uk〈br /〉〈span class="detail_caption"〉Record origin:〈/span〉 〈a href="http://www.ncbi.nlm.nih.gov/pubmed/12907792" target="_blank"〉PubMed〈/a〉
    Keywords: Child ; *Disease Outbreaks ; Disease Susceptibility ; England/epidemiology ; Humans ; Immunization Programs ; Measles/*epidemiology/prevention & control/*transmission ; *Measles-Mumps-Rubella Vaccine/administration & dosage/adverse effects ; Nonlinear Dynamics ; Stochastic Processes ; *Vaccination/adverse effects ; Wales/epidemiology
    Print ISSN: 0036-8075
    Electronic ISSN: 1095-9203
    Topics: Biology , Chemistry and Pharmacology , Computer Science , Medicine , Natural Sciences in General , Physics
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  • 5
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    American Association for the Advancement of Science (AAAS)
    Publication Date: 2004-10-02
    Description: Ecological theory predicts that competition for a limiting resource will lead to the exclusion of species unless the within-species effects outweigh the between-species effects. Understanding how multiple competitors might coexist on a single resource has focused on the prescriptive formalism of a necessary niche width and limiting similarity. Here, we show how continuously varying life histories and trade-offs in these characteristics can allow multiple competitors to coexist, and we reveal how limiting similarity emerges and is shaped by the ecological and evolutionary characteristics of competitors. In this way, we illustrate how the interplay of ecological and evolutionary processes acts to shape ecological communities in a unique way. This leads us to argue that evolutionary processes (life-history trait trade-offs) are fundamental to the understanding of the structure of ecological communities.〈br /〉〈span class="detail_caption"〉Notes: 〈/span〉Bonsall, Michael B -- Jansen, Vincent A A -- Hassell, Michael P -- New York, N.Y. -- Science. 2004 Oct 1;306(5693):111-4.〈br /〉〈span class="detail_caption"〉Author address: 〈/span〉Department of Biological Sciences, Imperial College London, Silwood Park Campus, Ascot, Berkshire SL5 7PY, UK. m.bonsall@imperial.ac.uk〈br /〉〈span class="detail_caption"〉Record origin:〈/span〉 〈a href="http://www.ncbi.nlm.nih.gov/pubmed/15459391" target="_blank"〉PubMed〈/a〉
    Keywords: Animals ; *Biodiversity ; *Biological Evolution ; Competitive Behavior ; Conservation of Natural Resources ; *Ecosystem ; *Host-Parasite Interactions ; Larva/*parasitology/physiology ; Longevity ; Mathematics ; Models, Biological ; Parasites/*physiology ; Population Dynamics ; Probability
    Print ISSN: 0036-8075
    Electronic ISSN: 1095-9203
    Topics: Biology , Chemistry and Pharmacology , Computer Science , Medicine , Natural Sciences in General , Physics
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  • 6
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    American Association for the Advancement of Science (AAAS)
    Publication Date: 2005-09-24
    Description: 〈br /〉〈span class="detail_caption"〉Notes: 〈/span〉Jansen, Vincent A A -- Stumpf, Michael P H -- Wellcome Trust/United Kingdom -- New York, N.Y. -- Science. 2005 Sep 23;309(5743):2005-7.〈br /〉〈span class="detail_caption"〉Author address: 〈/span〉School of Biological Sciences, Royal Holloway-University of London, Egham, Surrey TW20 0EX, UK.〈br /〉〈span class="detail_caption"〉Record origin:〈/span〉 〈a href="http://www.ncbi.nlm.nih.gov/pubmed/16179463" target="_blank"〉PubMed〈/a〉
    Keywords: *Adaptation, Biological ; Bacteria/growth & development ; Bacterial Physiological Phenomena ; *Biological Evolution ; *Ecosystem ; Gene Expression Regulation ; *Genetic Variation ; Herpesvirus 3, Human/physiology ; *Phenotype ; *Reproduction ; Stochastic Processes ; Virus Latency
    Print ISSN: 0036-8075
    Electronic ISSN: 1095-9203
    Topics: Biology , Chemistry and Pharmacology , Computer Science , Medicine , Natural Sciences in General , Physics
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  • 7
    Publication Date: 2014-11-28
    Description: 〈br /〉〈span class="detail_caption"〉Notes: 〈/span〉Funk, Sebastian -- Knight, Gwenan M -- Jansen, Vincent A A -- England -- Nature. 2014 Nov 27;515(7528):492. doi: 10.1038/515492b.〈br /〉〈span class="detail_caption"〉Author address: 〈/span〉London School of Hygiene &Tropical Medicine, London, UK. ; Royal Holloway University of London, Egham, Surrey, UK.〈br /〉〈span class="detail_caption"〉Record origin:〈/span〉 〈a href="http://www.ncbi.nlm.nih.gov/pubmed/25428491" target="_blank"〉PubMed〈/a〉
    Keywords: Disease Outbreaks/*statistics & numerical data ; Hemorrhagic Fever, Ebola/*epidemiology/*transmission ; Humans ; *Models, Biological
    Print ISSN: 0028-0836
    Electronic ISSN: 1476-4687
    Topics: Biology , Chemistry and Pharmacology , Medicine , Natural Sciences in General , Physics
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  • 8
    Electronic Resource
    Electronic Resource
    Springer
    Journal of mathematical biology 34 (1995), S. 195-224 
    ISSN: 1432-1416
    Keywords: Food chain ; Uniform persistence ; Bistability ; Induced outbreaks ; Bifurcation structure
    Source: Springer Online Journal Archives 1860-2000
    Topics: Biology , Mathematics
    Notes: Abstract The aim of this paper is to understand how dispersal in a patchy environment influences the stability properties of tri-trophic metapopulations. Differential equation models for tri-trophic metapopulations are formulated and analysed. The patchy nature of the metapopulations is incorporated through dispersal phases. Two variants are studied: one with a dispersal phase for the top and one with a dispersal phase for the middle level. A complete characterisation of stable and unstable equilibria is given and the possibility of invasion in these food chains is studied. A dispersal phase for the middle level can destabilize the bottom level-middle level interaction, because of the delay that dispersal causes in the reaction to the resource. When the middle level is not efficiently controlled by the top level, the unstable bottom level-middle level pair can destabilize the entire food chain. Dispersal for the top level can destabilize in the same way. A characterisation of the long term behaviour of the models is given. Bistability with a stable three species equilibrium and a stable limit cycle is one of the possibilities.
    Type of Medium: Electronic Resource
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  • 9
    Electronic Resource
    Electronic Resource
    Springer
    Experimental and applied acarology 14 (1992), S. 215-231 
    ISSN: 1572-9702
    Source: Springer Online Journal Archives 1860-2000
    Topics: Biology
    Notes: Abstract To understand how patchiness influences population dynamics of a tri-trophic interaction, a tractable model is formulated in terms of differential equations. Motivated by the structure of systems such as plants, phytophagous mites and predatory mites, the model takes dispersal into account at the middle trophic level. The effect of dispersal for the middle level in a tri-trophic system could be either stabilising or destabilising since the middle level acts both as prey and as predator. First a simple model with logistic growth for the lowest level is formulated. A model with logistic growth for the lowest level and instantaneous dispersal has a globally stable three-species equilibrium, if this equilibrium exists. Addition of a middle level dispersal phase of non-negligible duration influences equilibrium stability. In the absence of the top trophic level a limit cycle can occur, caused by the delay that exists in the reaction of the middle level to the changes in the lowest level. With low predator efficiency, it is also possible to have an unstable three-species equilibrium. So addition of a middle level dispersal phase of non-negligible duration can work destabilising. Next the persistence of the third trophic level is studied. Even when the three-species equilibrium exists, the third trophic level need not be persistent. A two-species limit cycle can keep its stability when a three-species equilibrium exists; the system is then bistable. It is argued that such a bistability can offer an alternative explanation for pesticide-induced outbreaks of spider mites and failure of predator introduction.
    Type of Medium: Electronic Resource
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  • 10
    Electronic Resource
    Electronic Resource
    Springer
    Bulletin of mathematical biology 52 (1990), S. 375-396 
    ISSN: 1522-9602
    Source: Springer Online Journal Archives 1860-2000
    Topics: Biology , Mathematics
    Notes: Abstract Some insect populations exhibit cycles in which successive population peaks may correspond to effectively discrete generations. Motivated by this observation, we investigate the structure of matriarchal generations in five simple, continuous-time, stage structure models in order to determine the proportion of individuals in one population peak who are the offspring of individuals in the pervious peak. We conclude that in certain models (including a model of Nicholson's blowflies) successive population peaks do not correspond to discrete generations, whereas in others (including some models of uniform larval competition) successive peaks may well approximate discrete generations. In all models, however, there is eventually significant overlap of generations.
    Type of Medium: Electronic Resource
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