An adaptive feedback methodology for determining information content in stable population studies

H. T. Banks; John E.  Banks; R. A.  Everett; John D.  Stark; H. T. Banks; John E.  Banks; R. A.  Everett; John D.  Stark

doi:10.3934/mbe.2016013

Mathematical Biosciences and Engineering

2016, Volume 13, Issue 4: 653-671. doi: 10.3934/mbe.2016013

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An adaptive feedback methodology for determining information content in stable population studies

1.
Center for Research in Scientific Computation, North Carolina State University, Raleigh, NC 27695-8212
2.
Undergraduate Research Opportunities Center (UROC), California State University, Monterey Bay
3.
Center for Research in Scientic Computation, North Carolina State University, Raleigh, NC 27695-8212
4.
Ecotoxicology Program, WSU Puyallup Research, Extension Center, Puyallup, WA 98371-4998

Received: 01 November 2015 Accepted: 29 June 2018 Published: 01 May 2016
MSC : 34A55, 65L09, 62G05.

We develop statistical and mathematical based methodologies for determining (as the experiment progresses) the amount of information required to complete the estimation of stable population parameters with pre-specified levels of confidence. We do this in the context of life table models and data for growth/death for three species of Daphniids as investigated by J. Stark and J. Banks [17]. The ideas developed here also have wide application in the health and social sciences where experimental data are often expensive as well as difficult to obtain.

Keywords:

Citation: H. T. Banks, John E. Banks, R. A. Everett, John D. Stark. An adaptive feedback methodology for determining information content in stable population studies[J]. Mathematical Biosciences and Engineering, 2016, 13(4): 653-671. doi: 10.3934/mbe.2016013

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Abstract

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