Before revision:  Market dataof commodities provide evidence of turning pointsfor essential commodities, as well as a yield point for non-essential ones .
After revision:  To compare the model with real empirical data, we study the relations between commodity prices and stock-to-use ratios of a range of commodities such as agricultural products and metals. By introducing an elasticity parameter to mitigate noise and long-term changes in commodities data, we confirm the trend of rising prices, provide evidence for turning points, and indicate yield points for less essential commodities .