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 | | | 183.86 | | | 0.00 | −183.86 | | | 165.34 | | | −165.34 | 0.00 | | 5 | 76.86 | | | 38.43 | −66.56 | | Sum | 1222.05 | −1.866 | −3.232 | −667.32 | −798.34 | |
| | | | | | | | 1 | | | 67.67 | | 2289.6 | 4.47 | 2 | −90.07 | | 128.03 | | 8195.9 | 15.99 | 3 | −90.07 | | 151.35 | | 11,453.2 | 22.35 | 4 | −117.63 | −121.63 | 169.21 | | 14,315.3 | 27.93 | 5 | −111.22 | −132.72 | 173.16 | | 14,992.2 | 29.26 |
| (b) Bahir Dar | | | | | | | Serial number | | | | | | | | 417.04 | | | −361.57 | −207.69 | | | 381.08 | | | −191.30 | −329.63 | | | 195.84 | | | 0.00 | −195.84 | | | 184.91 | | | −184.91 | 0.00 | | 5 | 92.16 | | | 45.90 | −79.90 | | Sum | 1271.39 | −1.871 | −3.23 | −691.88 | −813.06 | |
| | | | | | | | 1 | | | | 0.52 | | | 2 | −91.14 | | | 0.78 | | | 3 | −91.14 | | | 0.93 | | | 4 | −121.95 | −122.20 | | 0.79 | | | 5 | −114.30 | −135.52 | | 0.87 | | |
| (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 | −1 | 0.00 | −154.35 | 0.00 | | | 107.51 | −0.00 | −1 | 0.00 | −107.51 | | 5 | 82.02 | −0.8660 | 0.5000 | −71.03 | 41.01 | | Sum | 915.12 | −3.232 | −1.866 | −616.53 | −455.66 | |
| | | | | | | | 1 | −41.62 | −24.03 | 48.06 | 0.17 | 1154.83 | 4.22 | 2 | −65.20 | −64.86 | 91.97 | 0.78 | 4228.93 | 15.46 | 3 | −90.93 | −64.86 | 111.69 | 0.62 | 6237.54 | 22.81 | 4 | −90.93 | −82.78 | 122.97 | 0.74 | 7560.40 | 27.65 | 5 | −102.77 | −75.94 | 127.78 | 0.64 | 8164.28 | 29.86 |
| (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 | −1 | 0.00 | −261.57 | 0.00 | | | 254.58 | 0.00 | −1 | 0.00 | −254.58 | | 5 | 150.99 | −0.8660 | 0.5000 | −130.76 | 75.50 | Sum | 1411.74 | −3.232 | −1.866 | −897.22 | −691.31 | |
| | | | | | | | 1 | −31.86 | −55.18 | 63.72 | 1.05 | 2029.95 | 3.68 | 2 | −84.15 | −85.37 | 119.87 | 0.79 | 7184.63 | 13.03 | 3 | −127.75 | −85.37 | 153.65 | 0.59 | 11,804.05 | 21.40 | 4 | −127.75 | −127.80 | 180.70 | 0.79 | 16,326.45 | 29.60 | 5 | −149.46 | −115.22 | 188.72 | 0.66 | 17,806.97 | 32.29 |
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