2011American Journal of Agricultural and Biological SciencesOpen access

Prediction Model of Leaf Area in Soybean (Glycine max L.)

Ilkaee

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Abstract

Problem statement: Measure of leaf area by means of leaf area Meter is very expensive and difficult.Hence obtain of one simple model for calculate of leaf area in soybean (Glycine Max L.) is very necessary.Approach: In order to develop a suitable simple model for calculation of leaf area by means of leaf length and width, a Randomized Complete Block Design base donlit plot experiment with four replications was carried out in 2009 growing season at Karaj, Iran.Four soybean cultivars (Wiliams, Zane, L17 and M7) were used in the experiment.Totally, 1500 leaves for eight different times were measured in the experiment.Leaf width (W), length (W) and Leaf Area (LA) were measured.The actual leaf area of the plant was measured and regression model was fitted.Results: Pierson correlation showed that between actual leaf area relate to leaf width (R 2 = 0.89), L × W (R 2 = 0.98), W 2 (R 2 = 0.9), ln L×ln W (R 2 = 0.9), ln LW (R 2 = 0.87) and ( LW) 2 (R 2 = 0.93) have been positive correlation.Also between L × W and actual leaf area in Zane cultivar have been equation y= 1.173 x + 0.984 (R 2 = 0.92), in Williams cultivar y= 1.147×+ 1.052 (R 2 = 0.939), in M7 cultivar y= 1.116 x + 1.824 (R 2 = 0.962) and in L17 cultivar y= 1.135 x + 0.865 (R 2 = 0.976).Conclusion: Developed model was calculated y= 3.46344 -12.73172 ln LA + 0.827 LW + 9.47628 LL + 12.20208 ln LW + 0.05655 hWW + 0.00074436 h LW.Relation among L×W and actual leaf area in all of the cultivars y = 1.129×+ 1.344 (R 2 = 0.965).(h = half)

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Problem statement: Measure of leaf area by means of leaf area Meter is very expensive and difficult.Hence obtain of one simple model for calculate of leaf area in soybean (Glycine Max L.) is very necessary.Approach: In order to develop a suitable simple model for calculation of leaf area by means of leaf length and width, a Randomized Complete Block Design base donlit plot experiment with four replications was carried out in 2009 growing season at Karaj, Iran.Four soybean cultivars (Wiliams, Zane, L17 and M7) were used in the experiment.Totally, 1500 leaves for eight different times were measured in the experiment.Leaf width (W), length (W) and Leaf Area (LA) were measured.The actual leaf area of the plant was measured and regression model was fitted.Results: Pierson correlation showed that between actual leaf area relate to leaf width (R 2 = 0.89), L × W (R 2 = 0.98), W 2 (R 2 = 0.9), ln L×ln W (R 2 = 0.9), ln LW (R 2 = 0.87) and ( LW) 2 (R 2 = 0.93) have been positive correlation.Also between L × W and actual leaf area in Zane cultivar have been equation y= 1.173 x + 0.984 (R 2 = 0.92), in Williams cultivar y= 1.147×+ 1.052 (R 2 = 0.939), in M7 cultivar y= 1.116 x + 1.824 (R 2 = 0.962) and in L17 cultivar y= 1.135 x + 0.865 (R 2 = 0.976).Conclusion: Developed model was calculated y= 3.46344 -12.73172 ln LA + 0.827 LW + 9.47628 LL + 12.20208 ln LW + 0.05655 hWW + 0.00074436 h LW.Relation among L×W and actual leaf area in all of the cultivars y = 1.129×+ 1.344 (R 2 = 0.965).(h = half)

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Available abstract

Problem statement: Measure of leaf area by means of leaf area Meter is very expensive and difficult.Hence obtain of one simple model for calculate of leaf area in soybean (Glycine Max L.) is very necessary.Approach: In order to develop a suitable simple model for calculation of leaf area by means of leaf length and width, a Randomized Complete Block Design base donlit plot experiment with four replications was carried out in 2009 growing season at Karaj, Iran.Four soybean cultivars (Wiliams, Zane, L17 and M7) were used in the experiment.Totally, 1500 leaves for eight different times were measured in the experiment.Leaf width (W), length (W) and Leaf Area (LA) were measured.The actual leaf area of the plant was measured and regression model was fitted.Results: Pierson correlation showed that between actual leaf area relate to leaf width (R 2 = 0.89), L × W (R 2 = 0.98), W 2 (R 2 = 0.9), ln L×ln W (R 2 = 0.9), ln LW (R 2 = 0.87) and ( LW) 2 (R 2 = 0.93) have been positive correlation.Also between L × W and actual leaf area in Zane cultivar have been equation y= 1.173 x + 0.984 (R 2 = 0.92), in Williams cultivar y= 1.147×+ 1.052 (R 2 = 0.939), in M7 cultivar y= 1.116 x + 1.824 (R 2 = 0.962) and in L17 cultivar y= 1.135 x + 0.865 (R 2 = 0.976).Conclusion: Developed model was calculated y= 3.46344 -12.73172 ln LA + 0.827 LW + 9.47628 LL + 12.20208 ln LW + 0.05655 hWW + 0.00074436 h LW.Relation among L×W and actual leaf area in all of the cultivars y = 1.129×+ 1.344 (R 2 = 0.965).(h = half)

Key concepts: Cultivar, Randomized block design, Mathematics, Horticulture, Growing season, Botany, Biology

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