Table 2:
Final parameters estimates for noiseless or noisy data obtained by extended least squares (ELS) or chaos synchronization (CS). The nominal value represents the value of the parameter used to generate the data; the initial estimate represents the initial value provided to the Nelder-Mead and CS functions. Data were sampled at ten-day intervals in both cases. The parameter c, in the case of the chaos synchronization method, was estimated according to the median value of the time series of parameter c over the time range of 500 to 1000 days; this range was chosen to avoid transients.
| Noiseless | Noisy | |||||
|---|---|---|---|---|---|---|
| Parameter | Initial Estimate | Nominal Value | ELS | CS | ELS | CS |
| r 2 | 0.2 | 0.18 | 1.18 | 0.2053 | 0.627 | 0.1823 |
| b | 2e-9 | 1e-9 | 7.4e-9 | 1.87e-9 | 0 | 2.04e-9 |
| c | 0.06 | 0.035 | 42.5 | 0.0326 | 6.1 | 0.0355 |