dw 



d7 



GROWTH IN TIME OF THE TOTAL ORGANISM 



o o 



195 



(5-34) 



will obtain {[i, y arbitrary constants, S energy required, per unit volume, for 

 building up living mass). 



This can be associated with the considerations given above. According to 

 Yoneda and Yoshida, Afj (intake) is proportional to w^'^. M2 (maintenance = 

 turnover) will be approximately proportional to w. M^ and M^ (muscular work 

 and reproduction) are excluded under conditions of experimental determination 

 of resting metabolism, and also A/j (corresponding to — y.w) can be neglected 



400 



4 

 Age (yrs) 



Fig. 14. Growth in weight of young plaice. The deviation of the youngest age groups 

 from the theoretical curve, as apparent in Fig. 13, was due to mesh selection in the material 

 used (Lowstoft and Grimsby market samples). The discrepancy disappears when material 

 more representative of these age groups (samples from stations of the Leman-Haaks line) 

 is used, o = points shown in Fig. 13, X = data of Wallace, • = data of Thursby-Pelham. 



After Beverton and Holt, 1957. 



in short-term experiments because energy expense for maintenance of body 

 material in the steady state is probably but a small fraction of total (basal) 

 metabolic rate (p. 151). Under these conditions, equation (5.34) reduces to: 



Energy intake = energy output in resting metabolism 

 ^ energy stored in tissues 



(5-35) 



It appears that all terms in equation (5.35) are proportional to w^'^, so that 

 the simplest possible rule of dimensionality applies. Energy intake is measured by 

 food consumed and is proportional to w-^'^, according to Yoshida. Energy output 

 is measured by O, consumption and is proportional to w-'^, according to the 

 evidence presented (p. i83ff.). Energy stored corresponds to the term of anabolism 

 of the growth equation and is, by virtue of the validity of the latter, proportional 

 to w^ 



'■^'^ Hence, in terms of the symbols as previously defined: 



(5-36) 



Literature p. 253 



