HWST 197 & HWST 197L: Hawaiʻi Sailing Canoe.
Tides Calculations

How to apply differences (+,-) and ratios (*)

The publication of full daily tide predictions is necessarily limited to a comparatively small number of stations. These stations are referred to as "reference stations". Tide predictions for more than 3000 other locations can be obtained by applying certain differences to the daily tide predictions for the reference stations.


These pages provide a listing of the more than 3000 "subordinate stations" for which such predictions can be made, the differences or ratios to be used, and a link to the appropriate reference station. The stations in the listing are arranged in geographical order to make it possible to find stations which are available for an area you are interested in.

Caution: The time and height differences and ratios are derived from a comparison of simultaneous tide observations at the subordinate station and it reference station. Because these figures are constant, they may not always provide for the daily variations of the actual tide, especially if the subordinate station is some distance from the reference station. Therefore, although the application of time and height differences will generally provide reasonably accurate approximations, they cannot result in predictions as accurate as those listed for the reference stations which are based on much larger periods of analysis.

Time Differences: To determine the time of high and low tide at any station listed in this table there is given the columns headed "Time Differences"in which the hours and minutes to be added or subtracted from the time of high or low tide of the reference stations. A plus sign (+) indicates that the tide at the subordinate station occurs later than at the reference station and the difference should be added; a minus sign (-) indicates that it is earlier and should be subtracted.

To obtain the tide at a subordinate station on any date, apply the difference to the tide at the reference station for that same date. In some cases, however, to obtain an AM tide it may be necessary to use the preceding day's PM tide at the reference station or to obtain a PM tide it may be necessary to use the following day's AM tide. For example, if a high tide at a reference station occurs at 0200 on July 17, and the tide at the subordinate station occurs 5 hours earlier, the high tide at the subordinate station will occur at 900 PM on July 16. For the second case, if the high water at a reference station occurs at 1000 PM, and the tide at the subordinate station occurs 3 hours later, then high tide will occur at 1:00 AM on July 3 at the subordinate station.

The results obtained by application of the time differences will be in local time for the subordinate station. The necessary allowances for the change in date when crossing the international date line, or for different time zones have been included in the time differences listed.

Height Differences: The height of the tide, referred to the datum of nautical charts, is obtained by means of the height difference or ratios. A plus sign (+) indicates that the difference should be added to the height at the reference station, and a minus sign (-) indicates that it should be subtracted. For most stations, use of a predicted height difference would give unsatisfactory predictions. In such cases they have been omitted and one or two ratios, indicated by an asterisk (*), are given. To obtain the height of tide at the subordinate station in these cases, multiply the height of tide at the reference station by the ratio listed. The result is normally rounded to the nearest .1 foot.

For some subordinate stations there is given, in parentheses, a ratio as well as a correction. In those instances, each predicted high and low water at the reference station should be first multiplied by the ratio and then the correction is added or subtracted from each product.

Example Tide Calculations

For Atlantic City, New Jersey, the time and height adjustments listed in the tables are:

-0 27 -0 35 *0.88 *0.88

and the reference station is Sandy Hook, New Jersey. If the times in column 1 are the tides for a day at Sandy Hook, column 2 are the time corrections and column 3 are the height corrections, column 4 will be the predicted tides at Atlantic City.

1 2 3 4
446am 0.3ft -0 35 *0.88 411am 0.3ft
1052am 4.2ft -0 27 *0.88 1025am 3.7ft
502pm 0.2ft -0 35 *0.88 427pm 0.2ft
1127pm 4.3ft -0 27 *0.88 1100pm 3.8ft


For Monterey California, the time and height adjustments listed in the tables are:

-1 08 -0 47 -0.5 0.0

and the reference station is San Francisco, California. If the times in column 1 are the tides for a day at San Francisco, column 2 are the time corrections and column 3 are the height corrections, column 4 will be the predicted tides at Monterey.

1 2 3 4
237am 5.1ft -1 08 -0.5 129am 4.6ft
828am 1.9ft -0 47 0.0 741am 1.9ft
231pm 4.2ft -1 08 -0.5 323pm 3.7ft
820pm 1.6ft -0 47 0.0 733pm 1.6ft