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<br />precipitation, the greater the yield. Lubbock and San Angelo show the <br />strongest relationship, while the weakest were at Concordia and Oklahoma <br />City. Goodland is intermediate, but its behavior is closer to that of Concordia <br />and Oklahoma City. <br /> <br />The reason for the different responses to total precipitation lies in the <br />soil characteristics and climatologies of the five sites. The model uses two <br />parameters to describe the evaporative properties of the soil. The first <br />parameter characterizes the stage of evaporation when the soil is sufficiently <br />wet for the water to be transported to the surface at a rate at least equal <br />to the evaporation potential. The second parameter relates to the evaporation <br />stage in which the surface soil water content has decreased below a threshold <br />value, so that the soil evaporation depends on the flux of water through the <br />upper layer of soil to the evaporating site near the surface (Maas a.nd Arkin, <br />1978). For both parameters, the values at Lubbock and San Angelo are similar <br />and the values at Concordia, Goodland, and Oklahoma City are similar. The <br />slopes of the regression lines in figure 2 are about the same for Lubbock and <br />San Angelo and for Concordia, Goodland, and Oklahoma City. This suggests <br />that the incremental response in yield to an increment of precipitation is <br />determined, at least in part, by soil characteristics. <br /> <br />~ <br /> <br />Equally important are the cl imat ic characteri st ics of the five sites'. Both <br />Concordia and Oklahoma City have moist subhumid climates with mean precipi- <br />tation for the study period in excess of 450 mm. Lubbock and San Angelo are <br />semiarid, with mean seasonal precipitation well below 300 mm. Goodland is <br />intermediate, with an average of just over 300 mm of precipitation for the <br />study period. The relatively abundant precipitation at the two easternmost <br />sites sometimes results in a water surplus, that is, water in excess of that <br />needed to saturate the soil. When water surplus is present, it has the <br />effect of reducing the statistical correlation between precipitation and <br />yield, even though the model ignores the presence of surplus water. . This is <br />illustrated in figure 3. Oklahoma City had water surplus sometime during the <br />season in 16 of the 21 years. When linear regression is applied using total <br />observed precipitation, the coefficient of correlation is 0.22 (not significant). <br />When the water surplus is subtracted from the total precipitation, giving the <br />effective amount available to the plant, the correlation betweenyield and <br />precipitation increases to 0.58 (significant at the I-percent level) and the <br />slope of the regression line increases. <br /> <br />A second climatic factor affecting the relationship between total Rrecipita- <br />tion and yield is temperature. Both Lubbock and San Angelo are warm. through- <br />out the growing season, rarely experiencing mean temperatures lower than <br />25 oC. On the other hand, mean temperatures at Goodland and Concordia are <br />frequently below 25 oC. The effect of temperature stress in depressing yield <br />is illustrated in figure 4. The regression line for the entire 17 years of <br />data at Concordia shows that, in general, the greater the precipitation, the <br />greater the yield. When only the six driest years are considered, the <br />regression line shows a much stronger relationship between precipitation and <br />yield. On the other hand, when just the six wettest years are consiaered, <br />the regression line has a negative slope in spite of the relatively large <br />amount of water available to the plant. Four of these six years had pro- <br />nounced temperature stress that more than offset the otherwise positive <br />effect of abundant precipitation. <br /> <br />~ <br /> <br />12 <br />