Beyond theory to application and evaluation: Diffusion approximations for population viability analysis

被引:50
|
作者
Holmes, EE [1 ]
机构
[1] NOAA, Natl Marine Fisheries Serv, NW Fisheries Sci Ctr, Seattle, WA 98112 USA
关键词
Dennis model; diffusion approximation; extinction; matrix models; population models; population viability analysis; process error; salmon; stochasticity;
D O I
10.1890/02-5088
中图分类号
Q14 [生态学(生物生态学)];
学科分类号
071012 ; 0713 ;
摘要
Census data on endangered species are often plagued by problems that make quantitative population viability analysis (PVA) a challenge. This paper addresses four such problems: sampling error, density dependence, nonstable age structure, and population supplementation that masks the true population status. Estimating trends and extinction risks using such corrupted data presents serious parameter estimation difficulties. Here I review diffusion approximation (DA) methods for estimating population status and risks from time series data. A variety of parameterization methods are available for DA models; some correct for data corruption and others do not. I illustrate how stochastic Leslie matrix models can be used to evaluate the performance of a proposed DA model and to select among different DA parameterization methods for a given application. Presenting the uncertainty in estimated risks is critical, especially when the data are highly corrupted and estimated parameters are more uncertain. Using a Bayesian approach, I demonstrate how the level of data support for different risk levels can be calculated using DA parameter likelihood functions.
引用
收藏
页码:1272 / 1293
页数:22
相关论文
共 50 条
  • [21] Application of multiple-population viability analysis to evaluate species recovery alternatives
    Neville, Helen M.
    Leasure, Douglas R.
    Dauwalter, Daniel C.
    Dunham, Jason B.
    Bjork, Robin
    Fesenmyer, Kurt A.
    Chelgren, Nathan D.
    Peacock, Mary M.
    Luce, Charles H.
    Isaak, Daniel J.
    Carranza, Lee Ann
    Sjoberg, Jon
    Wenger, Seth J.
    CONSERVATION BIOLOGY, 2020, 34 (02) : 482 - 493
  • [22] Forward and backward diffusion approximations for haploid exchangeable population models
    Möhle, M
    STOCHASTIC PROCESSES AND THEIR APPLICATIONS, 2001, 95 (01) : 133 - 149
  • [23] APPLICATION OF INFORMATION THEORY TO ANALYSIS OF POPULATION DISTRIBUTIONS IN SPACE
    CHAPMAN, GP
    ECONOMIC GEOGRAPHY, 1970, 46 (02) : 317 - 331
  • [24] Diffusion approximations in population genetics and the rate of Muller's ratchet
    Braeutigam, Camila
    Smerlak, Matteo
    JOURNAL OF THEORETICAL BIOLOGY, 2022, 550
  • [25] DISCONTINUOUS VARIATIONAL APPROXIMATIONS OF NEUTRON DIFFUSION AND TRANSPORT-THEORY
    PITKARANTA, J
    TRANSPORT THEORY AND STATISTICAL PHYSICS, 1977, 6 (04): : 169 - 199
  • [26] Theory and application of growth delay analysis of colony formation for evaluation of injured population of the stressed fungal conidia
    Asada, Ryoko
    Yamada, Yoshie
    Sakamoto, Jin J.
    Furuta, Masakazu
    Tsuchido, Tetsuaki
    JOURNAL OF MICROORGANISM CONTROL, 2023, 28 (03): : 93 - 100
  • [27] Combining Population Viability Analysis with Decision Analysis
    Martin Drechsler
    Mark A. Burgman
    Biodiversity & Conservation, 2004, 13 : 115 - 139
  • [28] Combining population viability analysis with decision analysis
    Drechsler, M
    Burgman, MA
    BIODIVERSITY AND CONSERVATION, 2004, 13 (01) : 115 - 139
  • [29] A Boson-Fermion theory that goes beyond the BCS approximations for superconductors
    Chavez, I
    Salas, P.
    Solis, M. A.
    de Llano, M.
    PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS, 2022, 607
  • [30] BEYOND THE LINEAR-APPROXIMATIONS OF THE CONVENTIONAL APPROACHES TO THE THEORY OF CHEMICAL RELAXATION
    BIANUCCI, M
    GRIGOLINI, P
    PALLESCHI, V
    JOURNAL OF CHEMICAL PHYSICS, 1990, 92 (06): : 3427 - 3441