Refining mortality estimates in shark demographic analyses: a Bayesian inverse matrix approach.

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Title: Refining mortality estimates in shark demographic analyses: a Bayesian inverse matrix approach.
Authors: Smart, Jonathan J.1,2, Simpfendorfer, Colin A.2, Punt, André E.3,4, White, William T.4,5, Espinoza, Mario6
Source: Ecological Applications. Sep2018, Vol. 28 Issue 6, p1520-1533. 14p.
Subject Terms: *Marine resources conservation, *Coral reef fisheries, Silky shark, Mathematical models of population, Statistical sampling, Statistical sampling software
Abstract: Abstract: Leslie matrix models are an important analysis tool in conservation biology that are applied to a diversity of taxa. The standard approach estimates the finite rate of population growth (λ) from a set of vital rates. In some instances, an estimate of λ is available, but the vital rates are poorly understood and can be solved for using an inverse matrix approach. However, these approaches are rarely attempted due to prerequisites of information on the structure of age or stage classes. This study addressed this issue by using a combination of Monte Carlo simulations and the sample‐importance‐resampling (SIR) algorithm to solve the inverse matrix problem without data on population structure. This approach was applied to the grey reef shark (Carcharhinus amblyrhynchos) from the Great Barrier Reef (GBR) in Australia to determine the demography of this population. Additionally, these outputs were applied to another heavily fished population from Papua New Guinea (PNG) that requires estimates of λ for fisheries management. The SIR analysis determined that natural mortality (M) and total mortality (Z) based on indirect methods have previously been overestimated for C. amblyrhynchos, leading to an underestimated λ. Updated distributions of Z and λ were produced for the GBR population and corrected obvious error in the demographic parameters for the PNG population. This approach provides opportunity for the inverse matrix approach to be applied more broadly to situations where information on population structure is lacking. [ABSTRACT FROM AUTHOR]
Copyright of Ecological Applications is the property of Wiley-Blackwell and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.)
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  Data: <searchLink fieldCode="JN" term="%22Ecological+Applications%22">Ecological Applications</searchLink>. Sep2018, Vol. 28 Issue 6, p1520-1533. 14p.
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  Data: *<searchLink fieldCode="DE" term="%22Marine+resources+conservation%22">Marine resources conservation</searchLink><br />*<searchLink fieldCode="DE" term="%22Coral+reef+fisheries%22">Coral reef fisheries</searchLink><br /><searchLink fieldCode="DE" term="%22Silky+shark%22">Silky shark</searchLink><br /><searchLink fieldCode="DE" term="%22Mathematical+models+of+population%22">Mathematical models of population</searchLink><br /><searchLink fieldCode="DE" term="%22Statistical+sampling%22">Statistical sampling</searchLink><br /><searchLink fieldCode="DE" term="%22Statistical+sampling+software%22">Statistical sampling software</searchLink>
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  Data: Abstract: Leslie matrix models are an important analysis tool in conservation biology that are applied to a diversity of taxa. The standard approach estimates the finite rate of population growth (λ) from a set of vital rates. In some instances, an estimate of λ is available, but the vital rates are poorly understood and can be solved for using an inverse matrix approach. However, these approaches are rarely attempted due to prerequisites of information on the structure of age or stage classes. This study addressed this issue by using a combination of Monte Carlo simulations and the sample‐importance‐resampling (SIR) algorithm to solve the inverse matrix problem without data on population structure. This approach was applied to the grey reef shark (Carcharhinus amblyrhynchos) from the Great Barrier Reef (GBR) in Australia to determine the demography of this population. Additionally, these outputs were applied to another heavily fished population from Papua New Guinea (PNG) that requires estimates of λ for fisheries management. The SIR analysis determined that natural mortality (M) and total mortality (Z) based on indirect methods have previously been overestimated for C. amblyrhynchos, leading to an underestimated λ. Updated distributions of Z and λ were produced for the GBR population and corrected obvious error in the demographic parameters for the PNG population. This approach provides opportunity for the inverse matrix approach to be applied more broadly to situations where information on population structure is lacking. [ABSTRACT FROM AUTHOR]
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  Data: <i>Copyright of Ecological Applications is the property of Wiley-Blackwell and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract.</i> (Copyright applies to all Abstracts.)
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        Value: 10.1002/eap.1687
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      – Code: eng
        Text: English
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        PageCount: 14
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      – SubjectFull: Marine resources conservation
        Type: general
      – SubjectFull: Coral reef fisheries
        Type: general
      – SubjectFull: Silky shark
        Type: general
      – SubjectFull: Mathematical models of population
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      – SubjectFull: Statistical sampling
        Type: general
      – SubjectFull: Statistical sampling software
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      – TitleFull: Refining mortality estimates in shark demographic analyses: a Bayesian inverse matrix approach.
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            NameFull: Smart, Jonathan J.
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            NameFull: Simpfendorfer, Colin A.
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            NameFull: Punt, André E.
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            NameFull: White, William T.
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            NameFull: Espinoza, Mario
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            – D: 01
              M: 09
              Text: Sep2018
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              Y: 2018
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              Value: 28
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