Application of Mitscherlich-Bray Equation for Fertilizer Use in Barley Production in the Wolaita of Southern Ethiopia

IJEP 42(10): 1186-1193 : Vol. 42 Issue. 10 (October 2022)

Mesfin Kassa1 and M. Senapathy2*

1. Wolaita Sodo University, College of Agriculture, Department of Plant Science, Ethiopia, East Africa
2. Wolaita Sodo University, College of Agriculture, Department of Rural Development and Agricultural Extension, Ethiopia, East Africa


The experiments were intended at three locations to formulate different levels of NPK fertilizers recommendations for barley based on the Mitscherlich-Bray equation at the Wolaita zone in southern Ethiopia. The experiments were laid out in randomized complete block design (RCBD) with factorial arrangements applying NPK with three replications. Treatments were levels of N (0.23 and 46, P, 0, 10, 20 and 30 and K, 0, 25 and 50 kg/ha) in all possible combinations. The theoretical maximum yield of barley was calculated by plotting log y vs 1/x (amount of nutrients applied). Fertilizer recommendations for various soil fertility levels and yield targets were developed and their validities were tested by conducting three field verification trials on the same soils. The results showed that although the general recommended fertilizer dose resulted in the highest yield of barley at all the locations, total value cost ratio and net revenue were lowest with this fertilizer treatment and maximum yield treatment was superior in terms of the economics of fertilizer. The model considers the interactions of N, P and K and soil properties adjusted potential yield of the region, which predicts crop yields from chemical soil characteristics, as an indicator of soil fertility.


Barley, Nitrogen, Phosphorus, Potassium, Total value cost ratio


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