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Geoscience Letters

Official Journal of the Asia Oceania Geosciences Society (AOGS)

Table 3 The experimental data in each round, including the theoretical value T, the calculated value T′, the relative error δ (%), the theoretical half-amplitude B and the correlation coefficient r between x0 and pi (i = 1, 2, 3)

From: Correlation-aided method for identification and gradation of periodicities in hydrologic time series

Round

T

T′

δa

B

rb

1

20

20.4

2%

50

0.654

2

15

15.1

1.3%

40

0.513

3

10

10

0

30

0.406

4

–

3.4

–

–

0.105

  1. aThe relative error \(\delta_{i} = \frac{{\left| {T_{i} - T^{\prime}_{i} } \right|}}{{T_{i} }} \times 100(\% )\) (i = 1,2,3,……,n)
  2. bThe four thresholds of correlation coefficient are set as r0.05 = 0.195, r0.01 = 0.254, 0.6 and 0.8
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