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Abstract


Development of Adequate Mathematical Models to Predict the Mass of Potato Varieties From Their Some Physical Attributes
For the designing and developing of more economical machine and systems for agricultural materials some physical properties such as size, projected area, mass and volume are often used in postharvest applications. The relationships between mass and size dimensions, mass and projected areas and mass and volume and other physical attributes of agricultural materials must be taken consideration. In this study, the mathematical models for predicting the mass of potato tubers from their some physical characteristics were determined. For mass modelling of potato tubers, three different linear classifications were used as: 1- dimension models (single and multiple variable regression models of potato tuber dimensions), 2- projected area models (single and multiple variable regression models of projected areas), 3- models based on volume (estimation of potato tuber shape, ellipsoid or spheroid based on volume). The research was conducted with three potato cultivars (Jelly, Milva and Sante). Among single variable estimation models, for Jelly potato cultivar, the highest determining coefficient was obtained as R2=0.925 based on length with a relation as M=3,864L-162,033+ in the first classification of mass modeling. The best coefficient of determination for single and multiple variable estimation models based on projected area to prediction the mass of Jelly potato cultivar were obtained as R2=0.819, R2 =0.848 and R2=0.858, respectively among potato cultivars, respectively. According to the results, there is a linear relation between mass and estimated volume, the shape of potatoes considered as ellipsoid volume was found to be the most appropriate the model. This model is recommended for any three potato cultivars.

Keywords
potato, physical properties, linear modelling, dimension, projected area and volume


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