consumption-functions: Consumption Functions for FB4 Model

In fb4package: 'Fish Bioenergetics 4.0' Model Implementation with High-Performance 'TMB' Backend

Consumption Functions for FB4 Model

Description

Functions implementing the four consumption temperature-dependence equations (CEQ 1–4) and the allometric maximum-consumption function used in FB4. Consumption is modelled as:

C = C_{\max} \cdot p \cdot F(T), \quad C_{\max} = CA \cdot W^{CB}

where p is the proportion of maximum consumption (P-value), F(T) is a temperature-dependence function, W is body mass (g), and CA, CB are species-specific intercept and slope coefficients.

CEQ 1 — simple Q10 exponential: F(T) = e^{CQ \cdot T}

CEQ 2 — Kitchell et al. (1977): F(T) = V^{CX} \cdot e^{CX(1-V)}, where V = (CTM - T)/(CTM - CTO)

CEQ 3 — Thornton and Lessem (1978): two-part sigmoid using CQ, CTO, CTL, CTM, CK1, CK4

CEQ 4 — polynomial: F(T) = e^{CQ \cdot T + CK1 \cdot T^2 + CK4 \cdot T^3}

Value

No return value; this page documents the consumption functions module. See individual function documentation for return values.

References

Kitchell, J.F., Stewart, D.J. and Weininger, D. (1977). Applications of a bioenergetics model to yellow perch and walleye. Journal of the Fisheries Research Board of Canada, 34(10), 1922–1935. \Sexpr[results=rd]{tools:::Rd_expr_doi("10.1139/f77-258")}

Thornton, K.W. and Lessem, A.S. (1978). A temperature algorithm for modifying biological rates. Transactions of the American Fisheries Society, 107(2), 284–287.

Hartman, K.J. and Hayward, R.S. (2007). Bioenergetics. In C.S. Guy and M.L. Brown (eds.), Analysis and Interpretation of Freshwater Fisheries Data. American Fisheries Society, Bethesda, MD.

Deslauriers, D., Chipps, S.R., Breck, J.E., Rice, J.A. and Madenjian, C.P. (2017). Fish Bioenergetics 4.0: An R-based modeling application. Fisheries, 42(11), 586–596. \Sexpr[results=rd]{tools:::Rd_expr_doi("10.1080/03632415.2017.1377558")}

fb4package documentation built on May 8, 2026, 1:07 a.m.