British Journal of Research Open Access

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Polynomial Modelling of Allelopathic Effect of Topsoil Extract

Isaac Owusu – Mensah and Ebenezer Ekow Mensah

Objective: This paper seeks to model the allelopathic effect of topsoil extract transferred from Tectona grandis L. plantation on lycopersicum esculentum seed germination and seedling growth.  
Research Methods: A mathematical model will be formulated using polynomial regression based on the data collected. This model was used instead of other proposed models because the relationship between the two variables was curvilinear. Cubic spline method was used to smooth the model to avoid oscillations between exact fit values. Computer program MATLAB was used in the analysis of the data.
Results: It was found that the quartic polynomial regression model was the best fitted model for the collected data with least square parameters estimates given by P = 99.1892 + 7.9280CL - 13.4785CL+ 2.7142CL- 0.1782CL4
Conclusion: This study has demonstrated that the allelopathic effects present in transferred topsoil samples of T. grandis on lycopersicum esculentum seed germination can be modeled using the quartic polynomial model for any concentration of topsoil between 0 kg and 7 kg.