Application Of Gompertz And Logistic Models In Predicting Height Growth Of Pakcoy (Brassica Rapa L.) Plants In Vertical Hydroponic Systems

Abstract

This study aimed to model and predict the height growth of pakcoy plants (Brassica rapa L.) in a vertical hydroponic system using the Gompertz and Logistic mathematical models. The research was conducted over 30 days with two environmental treatments, namely inside a greenhouse and outside the greenhouse (control). The main parameter observed was plant height, with supporting parameters including temperature, humidity, light intensity, and nutrient requirements (PPM). Growth data were analyzed using the Gompertz and Logistic equations with parameter estimation through Excel Solver, and evaluated using the coefficient of determination (R²) and Mean Absolute Percentage Error (MAPE). The results showed that the Gompertz model had better accuracy compared to the Logistic model in both treatments. In the greenhouse treatment, the Gompertz model produced an R² value of 0.99 with a MAPE of 8.46%, whereas the Logistic model had an R² of 0.97 with a MAPE of 9.82%. In the control treatment, the Gompertz model also showed the best performance with an R² of 0.995 and a MAPE of 2.43%. Therefore, the Gompertz model is more suitable for predicting the growth of pakcoy plant height in vertical hydroponic systems.