1370 
A. Boesch and S. Müller-Navarra: Reassessment of long-period constituents for tidal predictions 
Ocean Sei., 15,1363-1379,2019 
www.ocean-sci.net/15/1363/2019/ 
Table 3. The most important partial tides that were identified in the periodograms, based on the combined evaluation of data from all tide 
gauges. See Sect. 4.3 for information on selection criteria and /¡, 7^, N{ and N^. 
Doodson 
Ü) (° tn 1 ) 
hi-) 
4(-) 
Ai(%) 
N h (%) 
ZZZZAZ 
0.0548098 
0.0086 
0.0102 
78 
45 
ZZZBZZ 
0.2306165 
0.0019 
0.0085 
29 
47 
ZZAXZZ 
0.7895780 
0.0009 
0.0088 
16 
34 
ZZAZZZ 
1.0201944 
0.0070 
0.0367 
85 
84 
ZZBZZZ 
2.0403886 
0.0013 
0.0068 
26 
56 
ZAXZZZ 
11.5978420 
0.0009 
0.0034 
69 
35 
ZAXAZZ 
11.7131503 
0.0234 
0.0024 
100 
10 
ZAYXZZ 
12.3874200 
0.0006 
0.0031 
2 
65 
ZAYZZZ 
12.6180365 
0.0007 
0.0042 
34 
21 
ZAYAAZ 
12.7881545 
0.0005 
0.0031 
1 
45 
ZAZYZZ 
13.5229227 
0.0112 
0.0119 
99 
90 
ZAZZZZ 
13.6382309 
0.0105 
0.0297 
97 
87 
ZAZAZZ 
13.7535391 
0.0006 
0.0016 
63 
2 
ZABBAZ 
15.9640460 
0.0010 
0.0032 
1 
70 
ZBWZZZ 
24.2158785 
0.0029 
0.0081 
83 
7 
ZBXZZZ 
25.2360729 
0.4550 
0.0706 
100 
92 
ZBYZZZ 
26.2562673 
0.0034 
0.0079 
55 
9 
ZBZYZZ 
27.1611535 
0.0008 
0.0021 
43 
29 
ZBZZZZ 
27.2764618 
0.0382 
0.0070 
100 
85 
ZCVAZZ 
36.9492232 
0.0037 
0.0013 
99 
25 
ZCXYZZ 
38.7589956 
0.0009 
0.0014 
89 
9 
ZCXAZZ 
38.9896120 
0.0010 
0.0004 
96 
0 
ZCZYZZ 
40.7993844 
0.0008 
0.0000 
93 
0 
ZDUZZZ 
49.4519514 
0.0004 
0.0000 
38 
0 
ZDVZZZ 
50.4721458 
0.0196 
0.0025 
100 
73 
ZDXZZZ 
52.5125347 
0.0059 
0.0015 
99 
15 
ZDZZZZ 
54.5529235 
0.0003 
0.0003 
43 
0 
ZETAZZ 
62.1852961 
0.0006 
0.0000 
93 
0 
ZEVYZZ 
63.9950685 
0.0003 
0.0001 
61 
0 
ZF.VAZZ 
64.2256849 
0.0004 
0.0000 
78 
0 
ZFTZZZ 
75.7082187 
0.0014 
0.0003 
98 
2 
ZFVZZZ 
77.7486076 
0.0010 
0.0003 
97 
5 
ZHRZZZ 
100.9442917 
0.0002 
0.0000 
36 
0 
ZHTZZZ 
102.9846805 
0.0002 
0.0002 
37 
0 
stronger because the noise level is lower in the respective pe 
riodograms. 
The rank R can be used to select a sub-list of partial tides 
when performing a tidal analysis of water levels with less 
than 18.6 years of data. This is important because not all par 
tial tides can be resolved against each other for shorter time 
series. The minimum difference in angular velocity is given 
by the resolution criterion (Eq. 3). Figure 6 illustrates the re 
solvable partial tides as a function of the length of the data 
record. Note that the high-ranked partial tide representing the 
tropical month which occurs at 7? = 4 in the list cannot be in 
cluded for time series shorter than about 9 years. For a tidal 
analysis of time series shorter than 9 years, it is therefore of 
ten better to perform a reference analysis: 19 years of data are 
used from a different tide gauge with a similar tidal behaviour 
(e.g. similar course of the semi-monthly inequality) and the 
results are translated to the original gauge by applying the re 
spective differences in the mean lunitidal intervals and mean 
heights. This way, nodal corrections can be avoided which 
come with their own assumptions and approximations (e.g. 
Godin, 1986; Amin, 1987). 
5 Comparison of predictions with observations: two 
different lists of constituents for the HRoI 
For verification of the new constituent list, tidal predictions 
based on an existing list of partial tides and based on the