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    <titleInfo>
      <title>Modeling fish population movements : From an individual-based representation to an advection-diffusion equation</title>
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    <name type="personnal">
      <namePart type="family">Faugeras</namePart>
      <namePart type="given">Blaise</namePart>
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    <name type="personnal">
      <namePart type="family">Maury</namePart>
      <namePart type="given">Olivier</namePart>
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    <abstract>In this paper, we address the problem of modeling fish population movements. We first consider a description of movements at the level of individuals. An individual -based model is formulated as a biased random walk model in which the velocity of each fish has both a deterministic and a stochastic component. These components are function of a habitat suitability index, h, and its spatial gradient Vh. We derive an advection-diffusion partial differential equation (PDE) which approximates this individual- based model (IBM). The approximation process enables us to obtain a mechanistic representation of the advection and diffusion coefficients which improves the heuristic approaches of former studies. Advection and diffusion are linked and exhibit antagonistic behaviors: strong advection goes with weak diffusion leading to a directed movement of fish. On the contrary weak advection goes with strong diffusion corresponding to a searching behavior. Simulations are conducted for both models which are compared by computing spatial statistics. It is shown that the PDE model is a good approximation to the IBM.</abstract>
    <targetAudience authority="marctarget">specialized</targetAudience>
    <subject>
      <topic>population dynamics</topic>
      <topic>biased random walk</topic>
      <topic>individual based model</topic>
      <topic>partial differential equation</topic>
    </subject>
    <classification authority="local">036</classification>
    <classification authority="local">020</classification>
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      <titleInfo>
        <title>Journal of Theoretical Biology</title>
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      <part>
        <detail type="volume">
          <number>247</number>
        </detail>
        <detail type="volume">
          <number>4</number>
        </detail>
        <extent unit="pages">
          <list> 837-848</list>
        </extent>
      </part>
      <originInfo>
        <dateIssued>2007</dateIssued>
      </originInfo>
      <identifier type="issn">0022-5193</identifier>
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    <identifier type="uri">https://www.documentation.ird.fr/hor/fdi:010040753</identifier>
    <identifier type="doi">10.1016/j.jtbi.2007.04.012</identifier>
    <identifier type="issn">0022-5193</identifier>
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