Table 1 M&C models.
Model type | Model form | Regulatory factor | Parameter description | Other description |
|---|---|---|---|---|
exponential model(M1) | \(y_{t} = y_{0} e^{at}\) | \(e^{at}\)(a < 0) | t is time | It can be gradually adjusted according to time and proportion |
\(y_{t} = y_{0} \lambda^{t}\) | \(\lambda^{t}\)(0 < \(\lambda\) < 1) | t is time | ||
Difference model26 (M2) | \(y_{t} = (1{ - }\phi )^{{\text{t}}} (y_{0} - \mathop y\limits^{ \wedge } ) + \mathop y\limits^{ \wedge }\) | \((1{ - }\phi )^{{\text{t}}}\) \(\phi\)(0 < \(\phi\) < 1) | \(\mathop y\limits^{ \wedge }\) is the long-term desire value, t is time | |
Linear model(M3) | \(y_{t} = y_{0} + bt\) | b(b < 0) | t is time |
