June 1963 by the Applied Mathematics staff of the Department of Oceanography, Univer- 

 sity of Washington. 



Transformed into geographic coordinates the quantities of interest are: 



Ve = - T 7, U e = I± 



f /' (29a, b) 



V = ( d -I± - d(TA COS <j)) \ 1 



\d\ d<t> J J3R cos '0 ^ UJ 



The transport function, i//, is defined by 



U ~Rd<}>' V ~ R^T^dk' (31a ' b) 



Equation (31b) is integrated from the eastern shoreline, 



Fofonoff (1960) tabulates the geostrophic transport as a transport function, i|/ 9 . He notes 

 this this procedure is not entirely correct, since the geostrophic transport is not divergence- 

 less. He obtains his values for i// 9 from the expression 



* 





d\, (33) 



that is, the difference V—V E integrated over longitude. Following this procedure the 

 meridional geostrophic transport is accurately represented by ife; however, the zonal 

 geostrophic transport is incorrectly represented since it reflects the effects of neglecting 

 divergence of the Ekman transport. 



Both the transport function for total transport and that for geostrophic transport can 

 depict zonal transport in error as a consequence of using the grid point nearest the eastern 

 boundary as the origin for integration. However, in the present use of Fofonoff s tabu- 

 lated transports as reference values, results are insensitive to the wind-driven transport 

 to such a degree that errors caused by unaccounted-for zonal transport near the eastern 

 boundary will not greatly influence the final values. 



With the values tabulated by Fofonoff (1960), baroclinic transport computed from 

 oceanographic station data, and equation (16a, b), it is possible to obtain barotropic trans- 

 port through a given section: 



U b = U-U E -U g , 



(16a, b) 



v b =v-v E -y g . 



In the present problem the intervals of interest are determined by the locations of the 

 oceanographic stations. The deep stations used are located so as to form either zonal 

 or meridional sections. In equations (16a, b) the first terms on the right can be extracted 

 from Fofonoff s (1960) tabulated transport functions for total transport by finite differ- 

 ences; the second terms, Ekman transports, can be integrated over the interval from the 

 tabulated values: and the third term can be taken from the oceanographic data. Equations 

 (17a, b) can be closely approximated by 



Ub — pmUbh, 



(34) 



V b — pm Vb h . 



25 



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