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ABSTRACT
The Cobb-Douglas model has been widely used in modelling input and output relationships in various organisations and at rational economic levels. The study aims at determining the effect of water quality parameters such as temperature, pH, turbidity, total dissolved oxygen and electrical conductivity on dissolved oxygen in fiber glass tanks, and the effect on the yield. The feeds that were used are dried chicken manure only (Treatment I), mixture of dried chicken manure commercial diet (COPPENS) (Treatment Il). Fit Linear REGRESSION was used to analyze the effects of the rate of changes between dissolved oxygen and the parameters and the interrelations among them. In this paper, a six-factor Cobb-Douglas model has been fitted to 11 weeks’ experimental data obtained from three different fish tank management system. By logarithmic transformation, the normal equations obtained from the model ere solved by the Least Squares method to obtain the output elasticities. Fit Linear Regression was used to establish their validity. The input components were aggregated and used in the traditional aggregate Cobb-Douglas model to obtain comparative results. For the disaggregated model, the output elasticities for the six input parameters for the two management systems were found to be 0.2563, 2.0394, 0.0208, -0.4522, 0.1160, and 0.0983 for treatment one with chicken manure only. For treatment two with chicken manure and COPPEN feed the elasticities were 3.0797, 0.24045, 0.000, -0.0009, 0.1629, 0.1086. Treatment two was found to be more significant to the model with regression and one input parameter having p-values <0.05. The model developed which was statistically tested, is novel and provides robust decision support fish farming and pond management.
