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Temperature Stress

Temperature stress is a function of the daily average air temperature and the optimal temperature for plant growth. Near the optimal temperature the plant will not experience temperature stress. However as the air temperature diverges from the optimal the plant will begin to experience stress. The equations used to determine temperature stress are:

tstrs=1tstrs=1tstrs=1 when T‾av≤Tbase\overline T_{av} \le T_{base}Tav​≤Tbase​ 5:3.1.2

tstrs=1−exp[−0.1054∗(Topt−T‾av)2(T‾av−Tbase)2]tstrs=1-exp[\frac{-0.1054*(T_{opt}-\overline T_{av})^2}{(\overline T_{av}-T_{base})^2}]tstrs=1−exp[(Tav​−Tbase​)2−0.1054∗(Topt​−Tav​)2​] when Tbase<T‾av≤ToptT_{base}<\overline T_{av} \le T_{opt}Tbase​<Tav​≤Topt​ 5:3.1.3

tstrs=1−exp[−0.1054∗(Topt−T‾av)2(2∗Topt−T‾av−Tbase)2]tstrs=1-exp[\frac{-0.1054*(T_{opt}-\overline T_{av})^2}{(2*T_{opt}-\overline T_{av}-T_{base})^2}]tstrs=1−exp[(2∗Topt​−Tav​−Tbase​)2−0.1054∗(Topt​−Tav​)2​] when Topt<T‾av≤2∗Topt−TbaseT_{opt}<\overline T_{av}\le 2*T_{opt}-T_{base}Topt​<Tav​≤2∗Topt​−Tbase​ 5:3.1.4

tstrs=1tstrs=1tstrs=1 when 5:3.1.5

where is the temperature stress for a given day expressed as a fraction of optimal plant growth,is the mean air temperature for day (°C), is the plant’s base or minimum temperature for growth (°C), and is the plant’s optimal temperature for growth (°C). Figure 5:3-1 illustrates the impact of mean daily air temperature on plant growth for a plant with a base temperature of 0°C and an optimal temperature of 15°C.

T‾av>2∗Topt−Tbase\overline T_{av} > 2*T_{opt}-T_{base}Tav​>2∗Topt​−Tbase​
tstrststrststrs
T‾av\overline T_{av}Tav​
TbaseT_{base}Tbase​
ToptT_{opt}Topt​
Figure 5:3-1: Impact of mean air temperature on plant growth for a plant with TbaseT_{base}Tbase​= 0°C and ToptT_{opt}Topt​=15°C