Full resolution (JPEG) - On this page / på denna sida - Sidor ...
<< prev. page << föreg. sida << >> nästa sida >> next page >>
Below is the raw OCR text
from the above scanned image.
Do you see an error? Proofread the page now!
Här nedan syns maskintolkade texten från faksimilbilden ovan.
Ser du något fel? Korrekturläs sidan nu!
This page has never been proofread. / Denna sida har aldrig korrekturlästs.
363
where Y means the ordinate of the curve of the first, y that of
the second experiment, 7 the ordinate for the curve representing
the antagonistic effect alone, all taken in the point x; f is the
unknown relation between the two effects, working together in the
first experiment. We cannot — in the author’s opinion — say
anything about the form of f at our present stage of knowledge.
The co-operation of two or several factors has been mathematic-
ally formulated by Batre on the basis of MITSCHERLICIFS "Gesetz
der physiologischen Beziehungen“ (1918, [4]. This is based on
two assumplions, firstly that the effect of one factor is independant
of all other factors, secondly that the increase in any point of the
curve is directly proportional to the difference between the “maximal
yield“ (is taken to mean the ordinate to which the production
curve tends by disregarding all retarding effects of the varied
production-factors, thus a quite hypothetical value) and the yield
in the point under consideration. A curve calculated on these
assumptions agrees approximately with the production curves of
several experiments in the intensities of production-factors below
their optimal intensities. Thus BaurE’s analytical expression for
the co-operation of several factors is in fact the mathematical
formula for an approximation of a production curve, obtained by
varying several factors. No conclusions as to the probability of
MITSCHERLICH’S two assumptions may be drawn from the more or
less satisfactory agreement with the experimental curves at certain
intensities, as ENRIQUES (1909, [7]) has proved in his brilliant paper
for a quite analogous case: i. e. analytical expressions for the
relation of growth to time. But on the other hand it seems probable,
that Baure’s formula may be used in several cases as an approxi-
mation formula though it does not seem permissible to consider
this approximation formula as a law of nature (as BaurLE and
MITSCHERLICH seem to do; cf. also Bonporrr, 1923, [5] p. 154).
Harper has proved that for certain cases (e. g. the assimilation of
carbon dioxide) this formula does not agree with the experimental
curve (1921 [10]). BaurLe’s formula is based on the assumption that
retarding effects may be disregarded (ef. above), thus if the anta-
gonism in dilute solutions depends on an interference between
retarding actions, it cannot be directly applied in our case. But
it may not be impossible to generalize BAuLE’s approximation for-
mula also for retarding actions; in fact a trial of generalization
has been made by the author. In pre-conceiving only so much
<< prev. page << föreg. sida << >> nästa sida >> next page >>
