PE EIE[R-Rg RESEARCH ON - HJ Andrews Experimental Forest
PE EIE[R-Rg RESEARCH ON - HJ Andrews Experimental Forest
PE EIE[R-Rg RESEARCH ON - HJ Andrews Experimental Forest
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Systems<br />
A system, as defined by Klir (1969), is imposed<br />
upon an object-a segment of nature<br />
(the earth, a community, a tree, an automobile,<br />
a computer)-by the observer from a distinct<br />
point of view. Everything that does not<br />
belong to the object is the environment . The<br />
boundary between the object and its environment<br />
cannot be clearly defined ; thus th e<br />
delimitation of the object is somewhat arbitrary<br />
and reflects the personal perspectives o f<br />
the modeler . Because we usually cannot stud y<br />
an object in its entirety (because of its complexity),<br />
we observe or measure values of certain<br />
quantities . The choice of quantities to<br />
measure depends on what we consider to b e<br />
of interest or important to the given purpos e<br />
(Klir 1969) .<br />
Most scientists are familiar with the concept<br />
of a system, especially as it is applied i n<br />
thermodynamics. For example, the laws of<br />
thermodynamics were derived by studyin g<br />
idealized closed systems in equilibrium . In<br />
dealing with such closed systems it is possible<br />
to study independent state variables such as<br />
pressure, temperature, and volume, which de -<br />
fine the state of the system. A closed thermodynamic<br />
system can exchange heat and work<br />
but not matter with its environment (Daniels<br />
and Alberty 1967) .<br />
As Ludvig von Bertalanffy (1969) pointe d<br />
out, biological systems are open system s<br />
whose structure is maintained by energy, in -<br />
formation, and matter flow through the systems.<br />
The behavior of the system is the resul t<br />
of the interactions of the elements of th e<br />
system and the flow through the system . Because<br />
the thermodynamic system is closed<br />
and idealized, and because the state variable s<br />
are independent (i .e., one can be varied with -<br />
out affecting another), it is convenient and<br />
correct to describe the system in terms o f<br />
total differentials; for example, the relation<br />
of internal free energy, E, of a system to<br />
temperature and volume, T and V, can be expressed<br />
(Daniels and Alberty 1967) :<br />
E = f(T, V)<br />
dE _<br />
(3T<br />
) V dT + () T dv (1)<br />
Equation 1 implies that the variables E, T,<br />
and V are independent ; one can be varied<br />
while the others are held constant, but mor e<br />
importantly, equation 1 implies summativity<br />
in the system where the behavior of a summa -<br />
tive system is the physical sum of the behavior<br />
of the parts . Because this approach is useful<br />
in thermodynamics and other special<br />
areas, biologists often attempt to explai n<br />
observed phenomena by assuming that the<br />
elements of all systems are independent (vo n<br />
Bertalanffy 1969) . We in plant physiology<br />
have accepted as a standard procedure th e<br />
isolation of a plant in a growth chamber, an d<br />
the study of the response of the plant to on e<br />
factor while holding the others constant . This<br />
approach is epitomized by Cleary (1970) who<br />
derived the following model of photosynthesis :<br />
the n<br />
P = f(M,T,L,N,Pr)<br />
dP= (3P) dM y {('r,) dT<br />
am T,L,N P dT M .L.N.P<br />
+ .<br />
. + dpr~ dP r<br />
1, 7'. L,N<br />
(2 )<br />
where P = photosynthesis, M,T,L,N, and Pr<br />
are moisture, temperature, light, nutrition an d<br />
preconditioning effect, respectively . This<br />
model assumes a summative system analogou s<br />
to a closed thermodynamic system .<br />
This assumption is not totally valid in a<br />
biological system like photosynthesis . Light ,<br />
for example, has an effect not only on the<br />
photochemical reactions within the leaf, but<br />
also is converted to heat, which influences<br />
leaf temperature. Likewise, leaf temperature<br />
is affected by transpiration rates, which is in<br />
turn affected by temperature, moisture status<br />
of the leaf and air, and so on, but equation 2<br />
does not account for these interactions. While<br />
this model is inadequate in that respect ,<br />
Cleary (1970) does recognize that photo -<br />
synthesis is not a simple light-and-temperatur e<br />
related phenomenon but represents a complex<br />
interaction of diverse factors, all of whic h<br />
should be taken into account in order to full y<br />
understand the process . Some of the factor s<br />
listed by Cleary (1970) probably are independent,<br />
namely, Pr and N.<br />
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