132
P. R. PAYNE, and ERICA F. WHEELER
fraction of adult weight. The weight curves of different species could therefore be combined into a common "normalised" curve showing, as in
BRODY [2], the weight-growth equivalence of animals.
5. Finally, the presence of the term (P B) representing the quality of the
diet, in the time exponent of equation (4), expresses the fact that a protein
deficient diet has the effect of expanding the physiological time scale. In
animals fed such diets, many aspects of maturation are delayed, and the
life-span is extended.
References
1. BERTALANFFY, L. VON: Quart. Rev. BioI. 32, 217 (1957).
2. BRODY, S.: Bioenergetics and growth. New York: Reinhold 1945.
3. KLEIBER, M.: The fire of life. London: J. Wiley and Sons 1961.
4. MILLER, D. S., and P. R. PAYNE: J. Theoret. BioI. 5, 1398 (1963).
Discussion
KRUGER:
For the description of growth of fish the formula of FORD-WALFORD (In+l =
a + b In) is well suited. From this empirically found formulation one may
derive the formula: I, = Lmax + (Lmax - Lo)b" which agrees with the
BERTALANFFY-function if we put e- K = - In b. Evaluations of the growth of
fish done by me have shown, that the value b of the FORD-WALFoRD-formula
is a better measure for the real velocity of growth than is the BERTALANFFYparameter K.
PAYNE:
In my opinion length is a most unsatisfactory parameter to use as a measure
of growth, and in particular the quantity derived from the BERTALANFFY3
equation as Vw is only loosely connected with the idea oflength!
KRUGER:
3
In man the relation I = Vw is not fulfilled, but in coldblooded animals this
relation covers rather exactly the observed data.
MEYER-DORING:
A formula, which describes the growth of animals, has also to take into consideration the different manner of nutrition as being related to the morphology of
the animals if, for instance, ruminants are compared with other mammals.
PAYNE:
The relationship described by BRODY, between adult weights of animals and
the length of time needed to reach adult weight, is not statistically very good
since, as BRODY himself has pointed out, the data were confounded by variations of diets fed and by differing physiological states of the animals.
P. R. PAYNE, and ERICA F. WHEELER
fraction of adult weight. The weight curves of different species could therefore be combined into a common "normalised" curve showing, as in
BRODY [2], the weight-growth equivalence of animals.
5. Finally, the presence of the term (P B) representing the quality of the
diet, in the time exponent of equation (4), expresses the fact that a protein
deficient diet has the effect of expanding the physiological time scale. In
animals fed such diets, many aspects of maturation are delayed, and the
life-span is extended.
References
1. BERTALANFFY, L. VON: Quart. Rev. BioI. 32, 217 (1957).
2. BRODY, S.: Bioenergetics and growth. New York: Reinhold 1945.
3. KLEIBER, M.: The fire of life. London: J. Wiley and Sons 1961.
4. MILLER, D. S., and P. R. PAYNE: J. Theoret. BioI. 5, 1398 (1963).
Discussion
KRUGER:
For the description of growth of fish the formula of FORD-WALFORD (In+l =
a + b In) is well suited. From this empirically found formulation one may
derive the formula: I, = Lmax + (Lmax - Lo)b" which agrees with the
BERTALANFFY-function if we put e- K = - In b. Evaluations of the growth of
fish done by me have shown, that the value b of the FORD-WALFoRD-formula
is a better measure for the real velocity of growth than is the BERTALANFFYparameter K.
PAYNE:
In my opinion length is a most unsatisfactory parameter to use as a measure
of growth, and in particular the quantity derived from the BERTALANFFY3
equation as Vw is only loosely connected with the idea oflength!
KRUGER:
3
In man the relation I = Vw is not fulfilled, but in coldblooded animals this
relation covers rather exactly the observed data.
MEYER-DORING:
A formula, which describes the growth of animals, has also to take into consideration the different manner of nutrition as being related to the morphology of
the animals if, for instance, ruminants are compared with other mammals.
PAYNE:
The relationship described by BRODY, between adult weights of animals and
the length of time needed to reach adult weight, is not statistically very good
since, as BRODY himself has pointed out, the data were confounded by variations of diets fed and by differing physiological states of the animals.