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PE EIE[R-Rg RESEARCH ON - HJ Andrews Experimental Forest

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Figure 2. Effect of temperature on dark respiration .<br />

Figure 1 . Leaf CO2 exchange as related to light an d<br />

temperature .<br />

and water potential that influence the carbon -<br />

fixing enzymatic reactions .<br />

Net photosynthetic response to temperature,<br />

also shown in figure 1, is generally a<br />

symmetrical form (Pisek et al . 1969, Moone y<br />

and Harrison 1969). Pisek's data have show n<br />

that the slope of the curve and the point of<br />

maximum shifts depending upon species an d<br />

season but the response remains symmetrical .<br />

The responses to light and temperatur e<br />

seem well-defined. A model using light an d<br />

temperature as independent variables shoul d<br />

conserve the known responses to each as wel l<br />

as include any interaction . To be useful, th e<br />

model should also predict CO 2 losses that<br />

occur below the light-compensation point a s<br />

well as respiration losses occurring durin g<br />

darkness . This requires that a respiratio n<br />

response be explicitly introduced into th e<br />

model.<br />

Figure 2 represents a generalized dark respiration<br />

response to temperature for steady -<br />

state conditions. The response at low an d<br />

intermediate temperatures is exponential i n<br />

keeping with the van 't Hoff Q 1 o rule for<br />

chemical reactions (Forward 1960). Abov e<br />

some high temperature, a decline resultin g<br />

from enzyme denaturation occurs which<br />

tends to become irreversible as the time o f<br />

exposure to high temperature increases (For -<br />

ward 1960, Longridge 1963) .<br />

Net CO 2 uptake, or net photosynthesis ,<br />

can now be expressed in terms of temperature-controlled<br />

respiration and light- an d<br />

temperature-controlled photosynthesis . For<br />

purposes of this model, net CO 2 fluxes int o<br />

the leaf are assigned a positive value whil e<br />

CO 2 losses are considered negative .<br />

Psn(L,T) = Ps(L,T)-Rs(T) (1)<br />

The functional form of the model can b e<br />

expanded around the following exponential<br />

expression that is representative of the ligh t<br />

curve in figure 1 .<br />

Psn(L,T) = Bo(T) (1 - exp(B 1 L)) - Rs(T) (2 )<br />

Rs(T) is negative and represents dark respiration<br />

. Bo(T) represents the light-saturate d<br />

asymptote as a function of temperature . Th e<br />

exponential coefficient (B 1 ) determine s<br />

response behavior at low light levels and is<br />

characteristically independent of temperature .<br />

Bo (T) can be represented by a quadratic function<br />

of the following form :<br />

Where :<br />

B o (T) = Bo + B i (T-B ) 2 (3 )<br />

Bo : maximum photosynthesi s<br />

B ; : slope coefficient ; negative algebraic sign<br />

B2 : temperature of maximum photosynthesi s<br />

Respiration as a function of temperature<br />

(Rs(T)) can be modeled with the followin g<br />

expression :<br />

Rs(T) = Boexp(BI (T-B.) - exp(BI (T-B . )) )<br />

Bo /exp(1) : maximum respiratio n<br />

B1 : slope coefficient ; positive sign<br />

B 2 : temperature of maximum respiratio n<br />

238

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