- Rapport nr. 37bis van de Hydrografische .Dienst ·der .·Kust. - Final report of the contract EPOC - CP - '0015 .. Participant 23 - Dienst der Kusthavens - Hydrografie - Oostende. DIENST DER KUSTHAVENS HYDROGRAFIE OOSTENDE. SYNOPSIS OF THE TIDAL OBSERVATIONS ALONG THE BELGIAN COAST CONCLUSIONS WITH RESPECT TO THE HIGH WATER,THE MEAN SEA LEVEL AND THE LOW WATER LEVELS. by Ing.C.Van cauwenberghe. * * * * * * 1.INTRODUCTION. Many scientists accept that the increase in carbon dioxide (C02) and other gases, concentrated in the atmosphere, which are generated by industry, may, in a not too distant future, lead to irreversible global changes in sea level, i.e. may produce the so called "greenhouse effect". The analysis of reliable past, and more recent, tidal elevation data, such as those of High Water (HW), Mean Sea Level (MSL) and Low Water (LW), can yield information about this development. The prognosis of future events should be based on a wide range of climatic research and applied to the production of climatic models. 2.THE QUALITY OF THE DATA. Before attempting to analyse the data, we must consider its value and usefulness. The observations need to have been reliable and to have been obtained over extended and uninterrupted periods. The Annexes 1, 2 and 3 give a synopsis of the periods of the tidal observations along the Belgian coast, i.e. for Oostende, Zeebrugge and Nieuwpoort; here the periods, for which a harmonic analysis occurred, are also indicated. As can be seen from these, there are significant gaps in these series, particularly for Oostende. In the case of Oostende (see Annex 1), reasonably good observations began as long ago as 1820, but unfortunately the data are lost; all the other earlier records, predating World War I, were carefully examined. The usefulness of those records were judged to be: (1)For the period 1835-1852, the monthly values of HW/LW are based on continuous records, read from a tide-gauge, close to a lock in the harbour of Oostende (Ref 3) and near to a reliable benchmark, to which the gauge was referred. This benchmark was incorporated in a quay wall. Because only monthly mean values of HW/LW were available, mean tide levels (i.e.the mean of HW and LW) could be calculated. The difference between this level and MSL along the Belgian coastline is nearly constant;e.g. for the period 1949-1988 the difference is +0,063 m. - 2 - So, knowing the correct mean tide levels, we were also able to determine the MSL-value for each year of the period concerned. (2)The period 1878-1914 is NOT useful for this study, because there are too many interruptions in the data and because the reference datum is uncertain. There are some data for the periods 1878-1885 and 1902-1914, which are unfortunately frequently interrupted. Comparing the yearly values for these periods with those of Vlissingen (The Netherlands), we found sometimes differences of more than 10 cm, whereas only 3 or 4 mm are the normal values for years with reliable observations. (3)From 1925 till now, the records of the years 1925, 1926 and most of the years during World War II {1940, 1941, 1942 and 1944) are very discontinuous; so we decided not to use them in this study, except when using the technique of moving averages (see 3.2). For Nieuwpoort and Zeebrugge continuous data are only available respectively from 1967 and 1962 onwards. 3. LOCAL TRENDS FOR HW, MSL AND LW. As periods of 25 and 30 years for Nieuwpoort and Zeebrugge are rather short, we decided not to use this information for the time being. Only the records of Oostende were considered for further examination. 3.1.Linear curve fittings. Annex 4 represents the values of HW, MSL and LW. These data are referred to TAW (Tweede Algemeene Waterpassing), being the Belgian National Reference Level. Best fit calculations through these 3 annual values (linear, exponential, logarithmic, binomial) are also available, but only the equation of the least squares linear fit, is indicated in the same Annex. For the 3 values a linear increase of 0,01 m/decade can be noted, if the two periods are taken into account: 18351852 and 1927-1991 (less the 4 years of the World Warii). on the other hand, if only the last period, less the years as mentionned, is considered, we find for HW, MSL and LW a rise of 0,02 m - 0,015 m and 0,01 m/decade. From the Dutch Rijkswaterstaat we kindly received the corresponding information for Vlissingen, for a reliable period of 102 years {1890-1991). We transformed the data by referring these to TAW as well. In the Annex 5 we see some increases of 0,03 m - 0,02 m and 0,015 m/decade for the 3 levels, as mentionned before. 3.2.Cyclic curve fittings. To understand why this method of curve fitting is used, it is necessary to explain the movement of the moon's node on the ecliptic (solar orbit). - 3 - The point, where the moon crosses the ecliptic from the south to the north/the north to the south is called the ascending node/the descending node. The length of the ascending node has the vernal equinox (first point of Aries) as reference; with values of 90° and 270° as length of the ascending node, the tidal range has a mean value, while with 0° and 180° the tidal range has a minimum 1 maximum value. The regression of the ascending node is just the movement westwards along the ecliptic. Due to the regression of both of the nodes, the obliquity of the lunar orbit to the celestial equator will change progressivily with each orbit between a variable maximum and a minimum value (i.e. 23°27'+ 05°09'= 28°36' or 23°27'- 05°09'= 18°18') with a periodicity of 18,61 years. In other words, the declination of the moon is characterised generally by 2 periodicities, first the lunation-period of 29,53 mean solar days (synodic period), due to the rotation of the moon around the earth (which, on its turn, moves around the sun), and secondly the period of 18,61 years, which is called the nodal cycle. The Annexes 6 and 7 show the values of HW and LW for Oostende with the fittings of a cyclic trend; for reasons of comparison the similar curves for Vlissingen also have been given in the Annexes 8 and 9. For Oostende nearly the same increase of 2 mmjyear for HW and 1 mmjyear can be noted, while for Vlissingen again the annual increase amounts to nearly 3 mmjyear for HW and to 1 mmjyear for LW. 3.3.Moving averages. Further i t was considered that the use of moving averages could be interesting in order to eliminate the oscillations and afterwards to detect any acceleration in the increase of HW, MSL and LW levels; also the similar values of Vlissingen have been added in the Annexes 10, 11,.12, 13, 14 and 15, where successively groups of observations of 1, 7, 13, and 19 years have been taken into consideration for the period 1927-1991. In none of the pictures of both places we see up to now any significant indication of an acceleration in the increase of the values concerned. * * * These conclusions on the rise of the 3 levels only are valid if the land is not subject to crustal movements from isostatic or eustatic origin. However, geologists in our country have good reasons to believe that Oostende has had a rather high degree of stability of the substratum since the quaternary period. Probably this statement is not valid for Vlissingen, where indeed we see a greater increase in the levels, due to the subsidence of land. - 4 As time passes by, it will be highly desirable to pay attention to the evolution of the sea levels very closely. REFERENCES 1. J.LAUWERS. Les marees du port d'Ostende. Annales des Travaux Publics de Belgique. Aout 1930. 2. L.JONES et R.HEIDERSCHEIDT. surfaces de niveau zero belges et zero hydrographique H. Annales des Travaux Publics de Belgique. Juin 1952. 3. J.HENRIONET. Notice sur les travaux topographiques executes au Depot de la Guerre de Belgique. Archives de l'Institut Geographique Militaire. Bruxelles, 1876. 4. A.STESSELS. Discussion des observations de la maree et ses effects dans l'Escaut. Annales des Travaux Publics de Belgique. Tome XXX, Deuxieme Cahier. 1872. 5. M.BOVIE. Etude sur la regime de la maree au port d'Ostende. Annales des Travaux Publics de Belgique. Tome XLIV, 1887. 6. P.MELCHIOR et P.PAQUET. Les constantes des marees oceaniques au port d'Ostende de 1882 a 1964. Koninklijke Academie van BelgieMededelingen van de Klasse der Wetenschappen-5e Reeks-Boek LIV1968, 10. 7. J.LAUWERS. Les marees des ports d'Ostende, de Zeebrugge et de Nieuwpoort. Annales des Travaux Publics de Belgique. Avril Juin 1949. 8. C.VAN CAUWENBERGHE. Overzicht van de tijwaarnemingen langs de Belgische kust. Periode:1941-1970 voor Oostende, 1959-1970 voor Zeebrugge en Nieuwpoort. Tijdschrift der Openbare Werken van Belgie. Nr.4, 1977. 9. P.MELCHIOR, P.PAQUET et C.VAN CAUWENBERGHE. Analyse harmonique de vingt annees oceaniques a ostende. Koninklijke Academie van Belgie. Mededelingen van de Klasse der Wetenschappen-5e ReeksBoek LIII-1967,2. 10.C.VAN CAUWENBERGHE. overzicht van de tijwaarnemingen langs de Belgische kust. Periode: 1972-1980 voor Nieuwpoort, Oostende en Zeebrugge. Tijdschrift der Openbare Werken van Belgie. Nr.5, 1985. 11.C.VAN CAUWENBERGHE. Overzicht van de tijwaarnemingen langs de Belgische kust. Periode: 1981-1990 voor Nieuwpoort, Oostende en Zeebrugge. Will be published later on in "Infrastructuur in het Leefmilieu" of the "Ministerie van de Vlaamse Gemeenschap". ostend, 04 March 1993 Ing.C.Van Cauwenberghe Head of the Coastal Hydrographic Service DIENST DER KUSTHAVENS HYDROGRAFIE OOSTENDE Annex 1 PERIODS OF THE TIDAL OBSERVATIONS for OOSTENDE (Belgium). Period Tide pole(a) or automatic tide gauge(b) Harmonic analysis References/Remarks 1820-1834 (a) No Ref 1 & 2 Data are lost 1835-1853 (a) No Ref 3 Only monthly mean values available 1866-1871 (a) No Ref 4 Data are lost 1878-1914 (b) Yes for 1882-1888 and for 1894-1912 · Ref 5 & 6 Many interruptions Reference level not well known 1925-1940 (b) No Ref 1 & 7 Interruptions for 1925, 1926 & 1940 1941-1970 (b) Yes for 1943-1968 Ref 7, 8 & 9 Interruptions for 1941, 1942 & 1944 1971-1980 (b) Yes for 1976-1980 Ref 10 Continuous records 1981-1991 (b) Yes for 1981-1991 Ref 11 Continuous records DIENST DER KUSTHAVENS HYDROGRAFIE OOSTENDE Annex 2 PERIODS OF THE TIDAL OBSERVATIONS for ZEEBRUGGE (Belgium). Period Tide pole(a) or automatic tide gauge(b) Harmonic Analysis References/Remarks 1932-1939 (b) No Ref 7 Interruptions for 1932 1941-1943 (b) Yes for 1943 1959-1970 (b) 1971-1980 (b) 1981-1991 (b) Yes for 1963-1966 No Yes for 1983 Ref 7 Interruptions from 1940 to 1943 Ref 8 Interruptions from 1959 to 1961 Ref 10 Continuous records Ref 11 Continuous records DIENST DER KUSTHAVENS HYDROGRAFIE OOSTENDE Annex 3 PERIODS OF THE TIDAL OBSERVATIONS for NIEUWPOORT (Belgium). Period Tide pole(a) or automatic tide gauge(b) Harmonic Analysis References/Remarks 1933-1938 (b) No Ref 7 Interruptions for 1933, 1937 & 1938 1941-1943 (b) Yes for 1943 Ref 7 Interruptions for 1942 & 1943 1959-1970 (b) Yes for 1967-1969 1971-1980 (b) No Ref 10 continuous records 1981-1991 (b) Yes for 1983 Ref 11 Continuous records Ref 8 Interruptions for 1959, 1961 & from 1963 to 1966 DIENST DER KUSTHAVENS HYDROGRAFIE OOSTENDE Annex 4 LINEAR TRENDS calculated on the Annual Values of HW, MSL and LW for OOSTENDE (Belgium). y ***** 0 <D 1/) Periods:1835-1852 1927-1991 (-1940,1941,1942,1944) TAW C) ("" Period:1927-1991 (-1940,1941,1942,1944) L') Y=A+B. X 0 00 A = 4,0874 B = 0,0010 Error = 0,0412 m "" .... 0 A= 3,9195 B = 0,0020 Error = 0,0390 m A ~ ..... +$ ,t,...,}h-#-ffl,J#+ ~~~-!f+ 0 0 .,. * Error = 2:_ (yi - Y) ~ n - + 2 2 with yi = HW, MSL or LW-value of a year Y = A + B . X n = number of events * Standard error of estimate of Y on X w :z:...., 00 i..i._; \I "4 .._ HW • f-1'> (f) 0 0 :;;:o I"'? "' --' (f)O L:"": 3 ---' A= 2,0846 B = 0,0010 Error = 0,0245 m A = 2,0151 B = 0,0014 Error = 0,0253 m A = 0,2043 B = 0,0010 Error = 0,0418 m A = 0,2139 B = 0,0010 Error= 0,0439 m ;*t #"¥+ ~ #W "' 0 0 "' 0 <D 0 N 0 (0 0 ~~+ -+ 0 4-#'$:¥ LW + g 1850 1900 1950 2000 o;---.---.---.--.---.---.-=~=-.---.---.---.-~~-----.---.---.--~~.--.x 30-00 so.oo 70.00 30. CO ., 1 0. 00 JAAR 1800 l30-0C =0 170.00 190-00 210.00 DIENST DER KUSTHAVENS HYDROGRAFIE OOSTENDE Annex 5 LINEAR TRENDS calculated on the Annual Values of HW, MSL and LW for VLISSINGEN (The Netherlands). 0 oL• ***** y''l Period:1890-1991 TAWo N L') Y=A+B.X 0 00 A= 3,7255 B = 0,0033 Error = 0,0402 m HW 0 0 I 0 <1J Error * I L 2 (yi - Y) \1 ----------- = :z: n - V w :zo ~N (f) 2 with yi ~ HW, MSL or LW-value of a year Y ~ A + B • X n ~ number of events * Standard error of estimate of Y on X • U)l"> > :z: A = 1,8919 B = 0,0021 Error = 0,0312 m i.J~ MSL 3 ___J 0 0 N 0 <D 0 N A = 0,1603 B = 0,0019 Error = o , o4 2 3 m 0 <0 0 -~, 0 ...,. •*'tj'f+ rr -'¥!' '" * (.) g 1850 -lt+- / ~ J~ l:t= :l¥fttr+ ~~~:fAA+~cq_w LW +1j..*1- 1900 1950 2000 01---.-~~~--~--~----~~~----.---.---r-~~-----.---.---.~~~---.x JO.OC 50.00 ?C.OO )0.00 110.00 JAAR 1800 130.00 =0 150.00 170.00 190.00 21::1.00 ------------------------·-··----·-·------Oostende HW van 1925 tot 1991 H = A*Yr + B*SINCCYR-ORIG)*2*pi/period) + c PERIOD 18.512 ORIG 1992.5 R= .001?87 m B= .0408 m C= 4.3 mu= ?.025E-15 m sigma= 0895 m 1925.5 1930.5 1935.5 1940.5 1945.5 195,0.5 195_5.5 1960.5 1965.5 1970.5 1975.5 1980.5 1985.5 ---------·-------.O::t:t:1 OJoo<:H mt:1ttj 8::0Z ttjQm m ZQI-3 g~t:1 l-%jtlj H!=O 1990.5 tlj ?;: c::::: m 8 ~ 4.4 4.4 --·~-------·~ t:l:j -----------· Hl::r Cl) '1::1 0 li li 0::::10() Cl) .. 4.3 - - - - -..----------... ·-·----·----··----· 4.2 > O::IPlJoo<: C/lS::I-'() 0 0. I-3PJ0t"l *tl:if-'S::H 1-1 2: f-' () 1-'· IC !:V ~:=--~~=~=~-:__- . \ z m rt ' 4.2 01 I 1-1 IC IC 1-1 * *O<:Pl *ti:!Plrtl-3 f-'Ct>!=O -s::O.ttj tJj Cl) z Ct>Ul0t:1 1-' ::I 1.00 1-'·H! s:: ~i 4. 1 ---------------- ....... .___ _ ---~---- --. -----~ ·-·-------------~-------------------------"-·------------ ... ------------ 4. l ·------ ---------------------------------------- ··-----·----------·-·----..·--·------------- ----~----·--·--- N-- --·-•••••-- ·---------- --------------------- ---------.-------- 4 -----··"··-----···-----------.-------· --·-··•.O•·-------------------------------------·---------------------·-···-.. I I 4 > ::I ::I (!) :>< 192.5.5 193.0.5 193S.5 194.0.5 194.5.5 195'0.5 195.5.5 L ____. ·-----~--------------- ---~- --------~-----~-------- 196-0.5 196.5. 5 197.0.5 197.5. 5 198·0. 5 198.5.5 199.0.5 -··-···----.---------·--------------' 0\ --~-~--------------·--------·-' Oostende LW van 1925 tot 1991 H = A*Yr + B*SINCCYR-ORIG)*2*pi/period) + c PERIOD 18.512 ORIG 1992.5 R= .001055 m B=-.04527 m mu=-8.451E-17 m sigma= 124 m 1925.5 193.0.5 193_5.5 194_13.5 194_5.5 195_13.5 195_5.5 196_13.5 196_5.5 197_13.5 1975.5 1980.5 o::r::o O~H C= .3989 t.llOt:r::! I-3::0Z t:r::!Ot.ll !~ G1 8 m g~o t-.:jt:r::! 1985.5 H:;d 1990.5 t:r::! ~ 0 tJl 8 .6 --------~----~------· t:r::! ---- '1::1 Cl) ---------------------------------- li ~· .5 ----·-·---..-------·-·--· -------------------·---·-------·-- --·· -·-------· -·---·-~-----·---- ----------------·--·-----------·---··-···· ~ rt -------- -----------·------- -------------~---------------------------- ~ .6 ----~---··--------~--------~----··-···--·-····--~---·----------·-·-··--·---~--~-~----······-------------·-------·-----···-·-·-··-·--·---··-·-···------·· .5 0 0. tJl 1-h::r 0 Cl) li ::t>' ::soo 8CIH:::: 1--' 0 ::SPl~ ~PlO~ *1::;11--'CH 1-'*!Z: 1--'0 ~*O<:Pl !IJ*I::;IPlrtl-3 (Jl .4 .4 1--'(1)::0 1 1-' -co.t:r::! 1-' 1.0 0 ~· 1-h ~ ~ tt! ~ Cl) (l)UlOO .... ::s c St"'4 -!El --2-v----v------------------;';f-~~t-==:::~=~:i£_:--:=::~=-=~~_:~ . :::':.=: ~~ ----~~-~.::_ '--------' ---- ------------~:~---~:: . ---~===~=~==·:.::-::.=:~--~--- . ==~~:=:~=~---- -____--_:-~=-~-=-- ~--.::-=-==~~===~==~if-=:.::==:~=~=-:=~:..~:=~~=~=~==~ j/. ____________ _ .3 ··---·· .,. _____ ---------------------·-----------·- ---·- .3 ---·------------ ---------· ----·-·-· .------·-·-·---·-------·------···-·""·• --------------------------------· -------------·--·--·-·-··-----------------·-- ------------ I I l - 1925.5 ------------------ ----- -----------------·- --------------- ------------- ----.--- • 2 ::t>' ::s ::s Cl) ~ 193-0.5 193'5. 5 ---·---- 194.13.5 .. ---· -- - 194.5.5 1950.5 195.5.5 1960.5 l96·s.s 19i0.5 197.5.5 198·0.5 198's.s 19!:f0.5 -..J r---·---------------------···-···-o-·-··--1 Vl issingen HN van 1925 tot 1991 H = A*Yr + B*SINCCYR-ORIG)*2*pi/period) + c PERIOD 18.512 ORIG 1992.5 R= .003309 m B= .03418 m mu= 3.049E-15 m sigma= .0?301 m 192S.S 1930.5 1935.5 194_B.S 1945.5 1950.5 1955.5 1960.5 1965.5 1970.5 1975.S 1980.5 l C= 4.355 m 0~0 O~H (I)Otr:l trjQ(I) :ZGJt-3 l-3!:t'Z ~~0 ~tr:l 198S.5 H!;tl 1990.5 tr:! ~ c:::: (I) t-3 ~ 4. 4 ----------·--·-·-·-·----·--·" -· .... - ... -. --- ~ tr:l ·····------- 4. 4 z rt Hl::T --------- ...·-···-····----------·-----------I'd (1) li 1-'· 0 0 (I) (1) li > t$::::10('} ::I Pl ~ ~I-'(} o,*HP>Ot"i ••*~1-'CH 4.3 ~-'*H I-'(} \0*-<:Pl ..... Plrtl-3 !\) ~ I 1-' \0 \0 1-' 4.2 ~1-'(1)~ lz:~O.tr:! (1) :z _moo t-3 ::I ::To roHl ~i rt ::T (1) li 1-' Pl 4. 1 ::I 0. m .._, ---· ----------- ---····-------------·-----------------------·- i J 4 ------------------~- I I 192S.5 193·0.5 1935.5 194.0.5 194.5.5 195·0.5 195.5.5 196.0.5 19s·s.5 197.0.5 1975.5 198.0.5 198·5.5 1990.5 ---- --- ------- -~-- ~ ::I (1) X CO -------------------------·------Vl issingen LW van H 1925 tot o::x::o Ot<H = R*Yr + B*SINCCYR-ORIG)*2*pi/period) + c PERIOD 18.512 ORIG 1992.5 A= mu=-2. 519E-15 m si gma= 1925.5 1991 193_0.5 193_5.5 194_0.5 194_5.5 195_0.5 .001192 m B=-.03502 m UlOt<:l r-3::0Z t<:lOW C= .4992 m Z 1 195_5.5 196_0.5 G) 8 ~~0 1-tjt:l:j . 1049 m 196_5.5 197.0.5 197_5.5 198_0.5 198_5.5 199_0.5 H::O t<j ~ Cl) 8 • 6 -------------- ~ .6 t<j z ·------------~--------------------·-----------------------------------------------------------·---------------~~------ -------------------·------·--·-··----·------------···---·-·------------·-----··---- rt 1-cJ Cl) Hl::t 0 (I) > (I) li 1i ts::SOCJ ::s ~ t< 0 ~1-'(J a,*I-I~Ot-l 1-'· ""*~1-'~H 1-1*1-1 1-'(J I.O*:z:<:~ I!\) 01 I 1-1 \0 \0 1-1 G')~rtr-3 t,~;~I-'Cl>::O :z:~O.t<:l z (I) .-.,(1)00 r-3 ::tO (I) Hl ::s ~~ rt ::t (1) .3 li 1-' -------------------------- -------- ~ ---·-··· ::s a. (/) .._.,. --------·-------- ____________________._., . 2 --------·---·--· ....... I 192.5.5 L__ _ 193.0.5 ----------- ---------····· 193.5.5 194·0.5 - - - - - . ---.. . ...... ....... ______________ ~_ ----------·-··-·-. ·------· ----------------------·---- -- ------ ------- ... - --------- -----~----~---------------"·---------------------------·-··· 194.5.5 .... 195.0.5 195'5.5 1960.5 ------------ --------------------- t9s·s. 5 t97·e. 5 ------ -------------· .-.. !97's. 5 1ss'e. 5 .2 198.5.5 199'0.5 ------ ------------- J ~ ::s(I) :>< 1.0 DIENST DER KUSTHAVENS HYDROGRAFIE OOSTENDE Annex 10 MOVING AVERAGES calculated on the Annual Values of HW for OOSTENDE (Belgium) and for VLISSINGEN (The Netherlands). **** Period:1925-1991 O'!'t 5 m '•/1 4,5 m I• ~ :-::.: :( ,&, X l _1._ .E...'-. 'i. :-: .X :!: .•: :;: :s: )::..: -,.: )( ~- ·-· _li._ :··): -~- ~- :.-: :.-.xi x I-LIA .. 1 year (1st 4 199l m :'1!: )( _ _ _ _ _ _ _ _ _ _ J.__ _____;{, ;.: i"l25 - ··:a: X :rl. L9~5 LS4.5 '·/1 4 fll \'1 5 m o~t I 4 .. 5 m i V.G. Oo~tende per ~ -1-c.n jaar I . :~: . ).':(X.-·. I !-LM. 7 years \.'l 4. 5 m I L- LS35 ','1 1925- 1Q!H I T.R.l·L tS£5 1---"m,______________t:~=s""·t,----'3'-'_'-=S'--'-'m,__ _ _ _ __ l!::IBS J Annex 11 DIENST DER KUSTHAVENS HYDROGRAFIE OOSTENDE MOVING AVERAGES calculated on the Annual Values of HW for OOSTENDE (Belgium) and for VLISSINGEN {The Netherlands). **** Period:1925-1991 './1 5 O::::t 4.5 m m !'···························· •._.I_(J. l I Ocd;:-t.~nde. per 13 ja.a.r- :!: X'!'~ X J. :-: -,· X ;( .···.X).: :a·:.::!: X;;.:)(~)():;-:: :r: X.:)( :r:. :«: J.: :S: :"': i X ·• .. , :&: ,: .._ :=:: ·t X X i .s: I I 13 years I II I-LW. \1! 4.5 m 1925 - 1!l9l T.A.~L p-er· l3 jb.~P l I \ I ! I ! ! tS45 ••..•1 4 m '•/1 5 m i.!l'5S :1585 L_•;..:~.- 3.5 m I+~ H-14 _ 1g25 - 19!ll 19 years I • i L ~ . . '""····· . . . . . ··=···=•'~ DIENST DER KUSTHAVENS HYDROGRAFIE OOSTENDE Annex 12 MOVING AVERAGES calculated on the Annual Values of MSL for OOSTENDE (Belgium) and for VLISSINGEN (The Netherlands). r- **** Period:1925-1991 'o/1 3 O=!=t 2.5 m m .. 1 I )()(. i .. ! i l 1 year iI M.9 L. (Jst 2 1925 - m I • ~ I I 1991 )( )( :-: ... ts3s: \·'1 t.S45 3 tsSs t·.:J£5 m l.SiB5 O:;:t 1 .. 5 m o~t 2.5 m ;:-:: )()(X X ... _:-:_ )( .'( )(.- l' t-1_ 9. L. 7 years O.st:: 2 1925 - 1991 m I• ~ : :~.: -------------(c:::•:cc:::-::'J..-. -• :.: X:•: )( .'( .•. -x-)_ .t. _v::e:X . : )( ::< ): :t.: X :fo: )( ~ ::-::J: X 1 :r: :1 .· -. :~: . ·•· '( :!. -··a·A .".!(_'(X;.:~.-}-:.' :1( ....... )(:,g:_"i.. ~~:···)(' ·,·. -...· ...fl. X .a. ·~~~--- :e.: X:<(:':.'( tsts l~IGS DIENST DER KUSTHAVENS HYDROGRAFIE OOSTENDE Annex 13 MOVING AVERAGES calculated on the Annual Values of MSL for OOSTENDE (Belgium) and for VLISSINGEN (The Netherlands). **** Period:l925-1991 '•/1 3 (l~i:; m Z ~5 m Ii I I M.G.L. 13 years \·'1 2 ..1 m (1:•::=t 2 1925- 1991 I m I I I L555 1565 :1 :1'?5 .E:IH~ ________-_--·_--·_···_····_···_··-_--~c~_:~~-t~l~-~5~m____ ·--_--·_····_---_ ..._..._.. _____________ ____j t:i35 Vl 3 l94S m J V_G. Qo~t~nd~ per 19 +r.r:. I ! I Jaa~ 1 I Il M.~.L- 19 years '·/1 2.5 m 1925- 1991 T.R.H. I ! .1::125 j \11 ~: ffr 9'BS -- ................. --- ....... B'75 I I _ _ _ _ _j DIENST DER KUSTHAVENS HYDROGRAFIE OOSTENDE Annex 14 MOVING AVERAGES calculated on the Annual Values of LW for OOSTENDE (Belgium) and for VLISSINGEN (The Netherlands). **** Period:1925-1991 !···················· '•/l l. 175 m ~575 (l;::t m I V.~- I On~tende per 1 J~ar I II ! .•. .•. I X L_ >!. 1 year Vl .675 m .175 (!;::.t 1925 - II 1!Hll m l I I :i: ·•';;' :e..-~. ~:-. :!: ): :•: :~~.: :S:)( ... I l9it-5 I l955 ________________________ _ 1.' L-------------~'~11~.~~~7~5-~~·----------------------'~J~~-t~-~-~s~·~~·s~m '•/1 t. 175 m . ·,: s: >-:X ( .. ·... X L.W. 7 years '•,•'1 .675 V.G. m V11~~1ng~n 0:3t "l?5 1925- 19!ll m per 7 Jaar I•~ :s: - -~ x~ xxx xxxx xx .•. x~ Xxxx .•_-xx """--""'*--.:L_X_ _ _ _ _ _ _ _ _ _ _x~.•.·.~.·_ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ __ ··x:.::•:::-:·· ~~ .......~x_:t:_x_·-·_··_>-':-•-'-:·._· ..................... l::ia5 ·.n . L75 rr, C:~t-. 32S m -··-·····---- I I ------------' DIENST DER KUSTHAVENS HYDROGRAFIE OOSTENDE Annex 15 MOVING AVERAGES calculated on the Annual Values of LW for OOSTENDE (Belgium) and for VLISSINGEN (The Netherlands). **** Period:1925-1991 'o/1 1, 175 m •.}_\-3. i')o.~Lende per o~t .. 575 (1st • 175 m 13 Ja.ar- 13 years m l .. ~-. I I I •,_,'1 . l75 Vl L.l75 m V.G. O!O::t-_ 325 fr• Oo~t~nd~ :j L955 l945 o~t per l9 1Sc-·S_ _ _ _ _ Ill -575 m J~ar· L-~- 1g2s - 1991 19 years '•/1 I 675 ITi T.R.l·L (i=:::t • 175 m I • "' 19}"5 ' - - - - - _ _ __,·,•• . l75 tic_•- - -