Research Article

Harmonic Analysis of Precipitation Time Series in Lake Tana Basin, Ethiopia

Table 2

Illustration of the mechanics of using (2), (3), and (5)–(13) to estimate the parameters of a fundamental harmonic for each station.

(a) Debre Tabor
Serial number
406.88−203.44−352.36
389.11−336.97−194.56
183.860.00−183.86
165.34−165.340.00
576.8638.43−66.56
Sum1222.05−1.866−3.232−667.32−798.34

167.672289.64.47
2−90.07128.038195.915.99
3−90.07151.3511,453.222.35
4−117.63−121.63169.2114,315.327.93
5−111.22−132.72173.1614,992.229.26

(b) Bahir Dar
Serial number
417.04−361.57−207.69
381.08−191.30−329.63
195.840.00−195.84
184.91−184.910.00
592.1645.90−79.90
Sum1271.39−1.871−3.23−691.88−813.06

10.52
2−91.140.78
3−91.140.93
4−121.95−122.200.79
5−114.30−135.520.87

(c) Gondar
Serial number
288.34−0.8660−0.5000−249.70−144.17
282.9−0.5000−0.8660−141.45−244.99
154.35−10.00−154.350.00
107.51−0.00−10.00−107.51
582.02−0.86600.5000−71.0341.01
Sum915.12−3.232−1.866−616.53−455.66

1−41.62−24.0348.060.171154.834.22
2−65.20−64.8691.970.784228.9315.46
3−90.93−64.86111.690.626237.5422.81
4−90.93−82.78122.970.747560.4027.65
5−102.77−75.94127.780.648164.2829.86

(d) Dangila
Serial number
382.32−0.5000−0.8660−191.16−331.09
362.28−0.8660−0.5000−313.73−181.14
261.57−10.00−261.570.00
254.580.00−10.00−254.58
5150.99−0.86600.5000−130.7675.50
Sum1411.74−3.232−1.866−897.22−691.31

1−31.86−55.1863.721.052029.953.68
2−84.15−85.37119.870.797184.6313.03
3−127.75−85.37153.650.5911,804.0521.40
4−127.75−127.80180.700.7916,326.4529.60
5−149.46−115.22188.720.6617,806.9732.29