The Fluctuations of the Florida Current!

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The Fluctuations of the Florida Current! BULLETIN OF MARINE SCIENCE OF THE GULF AND CARIBBEAN VOLUME 1 1952 NUMBER 4 THE FLUCTUATIONS OF THE FLORIDA CURRENT! ILMO HELA The Marine Laboratory, University of Miami ABSTRACT Correlations between the annual variations of the drift current of the Straits of Florida, of sea-level, and of the wind stress data are established. The annual march of the sea-level difference between Cat Cay and Miami Beach is computed. It is shown to have a close relation to the annual march of the average charted drift current in the Straits of Florida. The relatively few observations used for these computations are nevertheless shown to be representative. In order to extend the use of the sea-level data, the connection between the S-N component of the mean wind stress in the area of the Florida Straits and the mean sea-level of the same section is studied and a relatively close connection is found. Thus it is shown that, after a proper correction due to the variations of the local wind stress, the sea-level observations at Miami Beach may be used as an index of the year by year fluctuations in the Florida Current. INTRODUCTION Since the northeast trades and westerlies, from which the Gulf Stream system obtains its energy, fluctuate in position and velocity with the different seasons of the year, and probably to some extent from year to year, it is generally assumed that this system of water currents similarly fluctuates in strength. The considerable theoretical and practical importance of an accurate knowledge of these fluctua- tions is well known to oceanographers. For example, Iselin (1938), when reporting on the cooperative investigation of the Woods Hole Oceanographic Institution and the Bermuda Biological Station, writes: "This investigation has as its ultimate goal the solution of the problem of whether or not gradual changes in the strength of the Gulf Stream system have any bearing on the climate and fishery of Great Britain." The existence of annual fluctuations was shown by Montgomery (1938) and Iselin (1940) on the basis of both hydrographic stations and tide gauge records. Later Fuglister (1948) showed that surface ! Contribut:on No. 66 from The Marine Laboratory, University of Miami. These studies were aided by a contract between the Office of Naval Research and the University of Miami. 242 Bulletin of Marine Science of the Gulf and Caribbean [1 (4) current observations "... also give what appears to be a consistent picture of annual variations in the current speeds in various segments of the Gulf Stream system." However, variations in volume transport and surface current, in relation to local winds, trade winds, and mean sea-level differences have not yet been studied in continuous detail for the Florida Current. The present report deals with some of the initial results of recent investigations carried out at Miami. The Cat Cay-Miami Beach section of the Florida Straits is the narrowest portion of the entire Gulf Stream system, the Straits being here restricted between land boundaries about 40 miles apart. For this and other reasons, the above section offers an exceptional opportunity for making detailed and continuous meas- urement of this part of the Atlantic circulation, for establishing cor- relations between variations in current and meteorological phenomena. A necessary preliminary to these ultimate objectives is the deter- mination of the reliability of cross-stream gradients measured by sea- level recordings. Iselin (1940) writes that in order to learn about the effects of long-period variations in the volume of this current, it is first of all necessary to study the annual changes in current pattern and subsurface structure, since annual fluctuations in the transport are greater than the secular changes. 2 Our computations have confirmed these conclusions and it therefore appears that annual fluctuations may offer an approach to the problem, although available observations are still relatively scarce. VARIATIONS IN THE SEA-LEVEL DIFFERENCE CAT CAy-MIAMI BEACH The theory that variations of current across a stretch of open sea are reflected in tide gauge records made on a line normal to the direc- tion of flow must be applied with caution. In the case of the Cat Cay- Miami Beach section, however, it is believed that the strength of the Florida Current compared to that of possible counter-currents and eddies and the good exposure of the tidal stations, together ensure that the effects of purely local water movement on the slope of sea-level are reduced to a minimum. Over this relatively short section it is con- sidered unnecessary to take into account the variations in atmospheric pressure between the two stations. Z In this connection it is worthwhile to mention that apparently the main part of the year to year rising of the mean sea-level at Miami Beach since about 1930, as shown by Iselin (1940), depends upon either the absolute or relative sinking of the Atlantic coast of the United States (d. Marmer, 1948) and not upon a weakening of the Florida Current. 1952] Hela: Florida Current 243 The monthly means of sea-level which are available from Cat Cay are given in Table I. The data are reduced to mean sea-level during the observation period. Similar means of the tide gauge records from Miami Beach are given in Table II. From Tables I and II the variation TABLE I MONTHLY MEANS OF SEA-LEVEL IN CAT CAY IN CM. REFERRED TO THE MEAN SEA-LEVEL DURING 1938-41.3 J F M A M J J AS 0 N D ========1Y3ll -3.91 -3.9 -3.6 -0.8 2.0 4.1 7.0 4.8 -1.1 -6.2 1939 -7.8 -6.2 -1.7 0.1 -0.4 3.4 6.0 7.3 10.4 7.3 -5.8 -5.3 1940 -10.2 -10.9 -7.2 -7.12 1.7 -1.1 1.3 8.2 12.1 7.9 4.1 0.1 1941 -5.0 -0.1 -- -- Mean -7.7 -5.7 -4.2 -3.6 -0.8 0.5 3.1 6.5 9.8 6.7 -0.9 -3.8 I LIS days' average 2 20 days' average TABLE II MONTHLY MEANS OF SEA-LEVEL AT MIAMI BEACH IN CM. REFERRED TO THE MEAN SEA-LEVEL FROM 1938 MARCH TO 1941 FEBRUARY.) J F M AM J J AS 0 ND 1938 .. -10.3 -8.1 -4.2 -5.6 -9.4 -2.9 3.5 15.0 16.9 1.6 1939 -7.2 -9.0 -10.0 -6.9 -0.5 -3.9 -5.6 -0.2 14.1 18.7 14.5 -5.3 1940 -5.6 -6.9 -7.5 -12.7 -2.1 -7.5 -5.1 5.7 14.5 20.2 2.9 0.1 1941 3.8 3.5 Mean -3.0 -4.1 -~.3 -9.2 -2.3 -5.7 -6.7 0.9 10.7 18.0 11.4 -1.2 in the sea-level difference between Cat Cay and Miami Beach may be computed with reference to the mean value of the difference. However, it is desirable to obtain at least an approximate average value for the absolute difference in height between these stations. We have made use of the formula, (Sandstrom, 1903): A H = 2 n sin lp Iv (1 ) gtp where All is the height difference, n the angular speed of the earth, "the mean latitude of the section in question, g" the acceleration of gravity, 1 the breadth of the current, and v the mean surface velocity of the current. This formula is, a priori, valid only when considering steady and frictionless currents. However, as pointed out by several previous authors, it must also be valid to a certain degree in the Straits of Florida. From Pillsbury's observations during March to May, 1890, the corresponding average height difference between Gun Cay and Miami Beach during that period was calculated to be 58 em. By ap- plying this absolute height difference to the tide data for the corre- sponding period it is possible to derive absolute height differences for 3 Calculated from tidal data kindly supplied by the U. S. Coast and Geodetic Survey. 244 Bulletin of Marine Science of the Gulf and Caribbean rJ(4) TABLE III MONTHLY MEANS OF THE SEA-LEVEL DIFFERENCE BETWEEN CAT CAY AND MIAMI BEACH GIVEN IN CM. J F M A M J J AS 0 N D 1938 60.4 58.3 54.6 58.9 65.3 61.0 57.4 43.7 36.0 46.1 1939 53.4 56.8 62.3 61.0 54.0 61.4 65.6 61.4 50.4 42.5 33.9 54.0 1940 49.5 50.1 53.7 59.5 57.7 60.4 60.4 56.5 51.6 41.5 55.2 54.0 1941 45.2 50.4 Mean 49.4 52.4 58.8 59.6 55.4 60.2 63.8 59.6 53.1 42.6 41.7 51.4 Computed Differences 52.2 56.1 58.2 60.1 57.7 62.2 63.0 57.3 49.5 40.6 40.2 50.0 eaeh month. The average of these was found to be 54 em., which agrees closely with 55 em. computed by Iselin (1940). Using 54 em. as the average difference in height, the annual march in sea-level difference between Cat Cay and Miami Beach is given in Table III and Figure 1. The most characteristic features of this are Mil es per day Ave rage 65 -0 , drift \ current V 40 J FM AM J J A SO NO FIGURE 1.
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