International Scholarly Research Notices

Research Article

A Combined Model of Global Cultivated Area Change and Prediction for Future: 1961–2020

Table 2

Fitting results of various deterministic trend models.


Model name	Model structure	Residual sum of squares	Adjusted

Linear trend model			0.86
Quadratic curve model			0.87
Cubic curve model			0.90
Logarithmic model*			0.60
Power function model*			0.62
Exponential function model*			0.62
The Gompertz model*			0.86
Logistic model*			0.87
Cyclic model*			0.88

Note: *fitting of this model is estimated by turning it into linear model via transformation of model algebra. The residual error and adjusted- are the fitting results of transformational model. **Till 2010, the maximum value of agricultural land in the world had been 4,935,796,100 hectares, and the growth limit of cultivated area will not exceed this value, so = 4,935,796,100.