Table 1 Bioenergetics equations
From: A model to illustrate the potential pairing of animal biotelemetry with individual-based modeling
Consumption | \(C = C_{{{\text{max}}}} {\text{*p}}\_{\text{C}}_{{{\text{max}}}} {*}f\left( {\text{T}} \right)\) \({\text{C}}_{{{\text{max}}}} = {\text{CA*W}}^{{{\text{CB}}}}\) \({\text{f}}\left( {\text{T}} \right) = {\text{ K}}_{{\text{A}}} {\text{*K}}_{{\text{B}}}\) \(K_{{\text{A}}} = \frac{{{\text{CK}}1{\text{*L}}1}}{{1 + {\text{CK}}1{*}\left( {{\text{L}}1 - 1} \right)}}\) \({\text{L}}1 = {\text{e}}^{{{\text{G}}1{*}\left( {{\text{T}} - {\text{CQ}}} \right)}}\) \({\text{G}}1 = { }\frac{1}{{{\text{CTO}} - {\text{CQ}}}}{\text{*ln}}\frac{{0.98{*}\left( {1 - {\text{CK}}1} \right)}}{{{\text{CK}}1{*}0.02}}\) \({\text{K}}_{{\text{B}}} = \frac{{{\text{CK}}4{\text{*L}}2}}{{1 + {\text{CK}}4{*}\left( {{\text{L}}2 - 1} \right)}}\) \({\text{L}}2 = {\text{e}}^{{{\text{G}}2{*}\left( {{\text{CTL}} - {\text{T}}} \right)}}\) \({\text{G}}2 = \frac{1}{{{\text{CTL}} - {\text{CTM}}}}{\text{*ln}}\frac{{0.98{*}\left( {1 - {\text{CK}}4} \right)}}{{{\text{CK}}4{*}0.02}}\) |
Respiration | \(R = {\text{RA*}}W^{{{\text{RB}}}} {*}f\left( {\text{T}} \right)\)*ACTIVITY \(S = {\text{SDA*}}\left( {C - F} \right)\) \(f\left( {\text{T}} \right) = {\text{e}}^{{\text{RQ*T}}}\) \({\text{ACTIVITY}} = {\text{e}}^{{\text{RTO*VEL}}}\) \({\text{if }}T > {\text{RTL}},{\text{ VEL}} = {\text{RK}}1{\text{*W}}^{{{\text{RK}}4}}\) \({\text{if }}T{ } \le {\text{RTL}},{\text{ VEL}} = {\text{ACT*W}}^{{{\text{RK}}4}} {\text{*e}}^{{\text{BACT*T}}}\) |
Egestion | \(F = {\text{FA*}}T^{{{\text{FB}}}} {\text{*e}}^{{{\text{FG*p}}\_{\text{C}}_{{{\text{max}}}} }} {*}C\) |
Excretion | \(U = {\text{UA*}}T^{{{\text{UB}}}} {\text{*e}}^{{{\text{UG*p}}\_{\text{C}}_{{{\text{max}}}} }} {*}(C - F)\) |