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All figures (8)
Table 3 Definition of deterministic and stochastic nodes.
Figure 1 The overall model comprises eight submodels: Abundance, growth, growth rate, emergence, temperature, weight, biomass, and production. Large frames with rounded corners: submodels with at least one stochastic node. Large frames with right corners: submodels with deterministic nodes only. Within frames: levels, constant parameters (bold), free parameters. Light filled rectangles: variables common to pairs of submodels. Dark filled rectangles: observed variables. Full arrows: stochastic links. Dashed and dotted arrows: deterministic links. Parameters of some submodels (growth rate, emergence, temperature, weight) are precomputed and provided to parent submodels as fixed input values (dotted arrows). Remaining submodels (abundance, growth, biomass, production) form a full HBM.
Figure 2 DAG of the abundance submodel. Frames indicate levels: campaign (o 2 f1; . . . ;Og), cohort (k 2 f1; . . . ;Kg), length class (i 2 f1; . . . ; Ig), and removal (j 2 f1; . . . ; Jog). Rectangles: deterministic nodes; Ellipses: stochastic nodes; Dark filled nodes: observed variables (A, Co,i,j); Light filled nodes: variables common to the growth (mo,k, so,k) and biomass (lo,i,k) submodels. Full arrows: stochastic links. Dashed arrows: deterministic links.
Figure 4 Cohort growth curves. Expected cohort centers (thick solid lines) plus and minus (thin solid lines) cohort standard deviations are computed by using the cohort growth model with the point estimates of the growth parameters which are reported in Table 5. Cohort centers at campaigns ð mo;k and mo,k) are represented (circles and triangles, respectively). Squares: emergence (at time temo;k of length Lo). Observation times to are highlighted with vertical dashed lines.
Table 4 Growth model alternatives, fit (D), and growth point parameter estimates.
Table 1 Values of constant parameters.
Figure 3 Number of caught fish Co,i,j per Dl 5 10mm length class at Saint-Paul from October 2005 (o 5 1) to October 2010 (o 5 8). The number Co,i,j of fish of length class i caught during removal j during campaign o is illustrated as the j-th stacked sub-bar making up the bar of i-th length class (x-axis) of the subplot related to campaign o. Cohort centers (mo,k, triangles) are represented. Expected population sizes per cohort (lo,i,kADl, thin solid lines) and total (lo,iADl, thick solid lines) are computed by using Eq. (1) with point parameter estimates of mo,k, so,k, to,k, and lo.
Table 2 Distributions of free parameters (priors).
Journal Article
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DOI
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A length-based hierarchical model of brown trout (Salmo trutta fario) growth and production
[...]
Jean-Baptiste Lecomte
1
,
Christophe Laplanche
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Institutions (1)
University of Toulouse
1
01 Jan 2012
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Biometrical Journal