SHARP and FRANCIS: ENERGETICS MODEL FOR YELLOWFIN TUNA POPULATION 



APPENDIX.— GLOSSARY OF TERMS 



A 



A, 





E„ 



E^ = 



E. = 



F = 



g 

 k 



I 



T 



L, = 



M = 

 M, = 



Mf = 



Nr 



N. = 



N^ = 

 Re = 



wetted surface area of the fish. 



the total lifting area of the pectoral fins. 



the total lifting area of the keel. 



the coefficient of lift of the pectoral fins. 



the coefficient of lift of the keel. 



coefficient of total drag of fish of length 

 J which includes an inseparable effi- 

 ciency term involving acceleration pro- 

 cesses during continuous swimming. 



the daily caloric expenditure of fish of 

 length J attributable to growth in the 

 form of positive changes in mass. 



the daily caloric expenditure of fish of 

 length 7 to maintain metabolic stasis. 



the daily caloric energy expenditure of 

 fish of length I utilized by swimming 

 work, a function of swimming velocity 



(V.eal)- 



the instantaneous mortality rate due to 

 fishing. 



acceleration due to the force of gravity. 



the rate of oxygen consumption due to met- 

 abolic stasis of 1 g of respiring tissue, 

 not doing external work. 



the length of a fish from snout to fork of 

 tail in millimeters. 



the fork length of a fish in centimeters. 



the total weight of a fish in seawater of 

 density p, in dynes. 



the instantaneous natural mortality rate. 



the efficiency of muscle when converting 

 chemical energy to mechanical work. 



mass of the fish in grams where for yellow- 



fin tuna: M 



f 



1.858 X 10-2 (/) 3.021 



(Chatwin 1959). 

 the estimated number of individuals of 

 length I. 



the number of postlarval survivors from 



a spawning, 

 the number of recruits at 40 cm. 

 the Reynolds number. 



Sa 



Sr 



'total 



= the density of seawater, in this work p = 

 1.025 g/cm2. 



= the rate of oxygen consumption due to 

 swimming activity, from the power 

 equation of Smit (1965). 



= recruitment cohort label for all individuals 

 that attain 40 cm fork length from 1 

 January to 30 June of each year. 



= recruitment cohort label for all individuals 

 that attain 40 cm fork length from 1 

 July to 31 December of each year. 



= the oxygen consumption rate of fish of 

 length J attributable to metabolic stasis. 



= the oxygen consumption rate of a fish of 

 length 7 attributable to swimming en- 

 ergy expenditures. 



S + S 



= respiration rate attributable 



Mf X 



10-3 



V 



V 

 V 



V 



100 



to swimming and metabolic stasis en- 

 ergy expenditures. 



= the kinematic viscosity of seawater. 



= the constant velocity of a fish, in centi- 

 meters per second. 



= the estimated integrated velocity of a fish 

 of length 7 used in determining Re and 

 C<f, and in the estimation of S. 



= the minimum swimming speed of a fish of 

 given species and 7 for maintenance 

 of hydrostatic equilibrium (Magnuson 

 1973). 



= the velocity which is "typical" of the 

 swimming speed of a fish of length 7. 

 Vfgej) = the velocity which is meant to integrate 

 all energy expenditures due to fish 

 swimming faster than V^yp, including 

 short bursts in feeding or flight be- 

 havior (assumed to be 3 m/s). 

 ^reai " the average daily velocity of a fish of 

 length 7, = 0.95 V,^ + 0.5 Vfeed- 

 the metabolic weight of a fish, in grams 

 (Winberg 1960). 



y. 



typ 



w. 



met 



51 



