M. Zivkov, CRITIQUE OF PROPORTIONAL HYPOTHESES AND METHODS FOR BACK-CALCULATION OF FISH GROWTH, Environmental biology of fishes, 46(3), 1996, pp. 309-320
Hypotheses which assume a contant proportional deviation of the indivi
dual size of fish scales (S) or body (L) from mean size throughout lif
e are biologically insignificant. Growth is considered and illustrated
as a complex self-regulating process which continuously changes throu
ghout ontogeny. Speed and form of changes of the growth of individual
fish depend mainly on the initial size of the specimen and on the habi
tat. Consider five main types of changes of the L-S regression lines f
or individual fish with different initial sizes. They are basically di
fferent from the current proportional model of individual growth. The
regression lines for individual fish cannot and should not be used for
back-calculating L from S either by proportional or by regression met
hods, as individual L(S)/theoretical L(S) ratio, determined at the tim
e of capture, are usually considerably different, compared to the prev
ious years. For back-calculation of the average L values from average
S values the use of separate equations for each age-group or for the w
hole subpopulation are recommended.