Lesson 25 of 40 · Module 4 — Tides and tidal streams

Tidal curves: standard ports

Finding the height of tide at any time — and the time for a given height.

Day Skipper25 minVideo · Notes · Interactive · Exercises
0:00 / 4:09Chapter 1 of 9: Between high and low water
Transcript
  1. A tide table gives you the times and heights of high and low water, and nothing in between. But you rarely need the tide exactly at high or low water. You want to know how much water there will be at nineteen hundred, or when the tide will be high enough to cross a shallow bank. At a standard port, the tidal curve answers both questions.

  2. A standard port is one with full daily predictions: the time and height of every high and low water. Port Kerran is our standard port. Smaller places nearby, called secondary ports, are worked out from it using time and height differences, which you will meet in lesson twenty-seven. Each standard port also has its own tidal curve, because the shape of the tide changes from place to place.

  3. This is the Port Kerran tidal curve. Along the bottom is time, in hours before and after high water. Up the middle is the factor: nought at low water, one at high water. The solid curve is for spring tides, and the dashed curve is for neaps. On the left, the height panel has a scale for high water heights along the top, and one for low water heights along the bottom.

  4. Say you want the height of tide at nineteen hundred BST on Friday the fourth of June. First, pick the high water nearest your time: fifteen thirty-five UT, which is sixteen thirty-five BST, four point five metres. Your time is after high water, so use the low water after it: one point two metres. The range is four point five minus one point two, which is three point three metres, so the day is in between springs and neaps.

  5. Write the high water time under HW, and count along: nineteen hundred is two hours twenty-five minutes after high water. Draw the range line from one point two on the low water scale to four point five on the high water scale. Go up from your time to the curve, across to the range line, then up to the height scale. The height of tide is about three point five metres.

  6. Where your time line met the curve, read the factor: about nought point six nine. Height of tide equals low water, plus factor times range. One point two plus nought point six nine times three point three is about three point five metres. Drawing it and working it out give the same answer by two routes, so each checks the other.

  7. Now turn the question round. Brennan Bank, south of Gull Point, has a least charted depth of two point one metres. Our yacht draws one point eight metres, and with a swell running the skipper wants one and a half metres under the keel. That is three point three metres of water, and the chart already gives two point one, so we need a height of tide of one point two metres.

  8. On Tuesday the first of June, low water is at oh eight thirty-two BST and only nought point four metres, so the bank is out of bounds for a while either side of it. For the falling tide, use the morning high water: start at one point two on the height scale, go down to the range line, across to the curve, and down to the time scale. That gives four hours thirty-two minutes after high water, oh six fifty-four BST: the latest time to cross. For the rising tide, use the afternoon high water and its own range line: four hours thirty-one minutes before it, ten ten BST, is the earliest.

  9. To sum up. Pick the high water nearest your time, and the low water on the same side of it, and convert them to BST. Work out the range, and choose springs, neaps or in between. For a height at a time, go from time, to curve, to range line, to height. For the time for a height, go the other way, and always leave a sensible margin, because predictions are never exact.

In this lesson you will learn

  • What a standard port is, and how it differs from a secondary port
  • Read the parts of a tidal curve diagram: time from HW, factor, spring and neap curves, height panel
  • Choose the right high water and low water, and judge springs, neaps or in between from the range
  • Find the height of tide at a given time, by drawing and by LW + factor × range
  • Find the time at which the tide reaches a given height, and use it to plan crossing a shallow patch

Standard ports

In Lesson 24 you read the Port Kerran tide table: the time and height of each high water (HW) and low water (LW), in UT, converted to BST by adding an hour. That is enough if you want to know about the tide at high or low water. But real questions fall in between: how much water will there be over the bank at 1900? or when will there be enough water to cross it? This lesson answers both, using the port’s tidal curve.

A standard port is a port with full daily predictions: the tide tables (in a nautical almanac or the Admiralty Tide Tables) list every HW and LW there, and print a tidal curve showing how the tide rises and falls between them. Port Kerran is our standard port. Smaller harbours and anchorages nearby are secondary ports: they have no daily table of their own, and you work out their tides from a standard port by applying time and height differences. That is Lesson 27; the curve method you learn here carries straight over to it.

Each standard port has its own curve because the shape of the tide varies from place to place. At many ports the rise and the fall take different lengths of time, so the curve is lopsided; a few ports with unusual tides, such as those in the Solent, even have their curves drawn around low water instead. Always use the curve printed for the port you are working.

The table gives you HW and LW. The curve fills in everything between them.

Reading the curve diagram

The Admiralty-style curve diagram looks busy at first, but it has only four parts.

0.00.10.20.30.40.50.60.70.80.91.0Factor00112233445566HW heights (m)LW heights (m)-6-5-4-3-2-1HW+1+2+3+4+5+6Hours from high water at Port KerranSprings (4.8 m range)Neaps (2.4 m range)
The Port Kerran tidal curve. Springs solid, neaps dashed; the height panel is on the left.
  • The time axis along the bottom is in hours from high water, from 6 hours before HW to 6 hours after. On a printed form there is a box under “HW” where you write the time of HW, and you fill in the clock times of the hours either side.
  • The factor scale up the middle runs from 0 (low water) to 1 (high water). The factor is simply the fraction of the range that the tide has risen above low water: 0.5 means halfway between LW and HW.
  • The curves show the factor at each time. The solid curve is for spring tides (mean range 4.8 m at Port Kerran) and the dashed curve for neaps (mean range 2.4 m).
  • The height panel on the left has two height scales: HW heights along the top and LW heights along the bottom. Joining the day’s LW height (bottom) to its HW height (top) gives the range line, which turns a factor into a height of tide.

Port Kerran’s curve is nearly symmetrical, with the rise and the fall each taking a little over six hours, and the spring and neap curves lie close together. At some ports they differ a lot, so judging springs or neaps matters more there.

Before you start: the right HW and LW

Most mistakes with tidal curves happen before the curve is touched. Three decisions come first.

  1. Which high water? The one nearest the time you are interested in. The curve is drawn around HW, so every time is measured from it.
  2. Which low water? The one on the same side of that HW as your time. Before HW the tide is rising from the previous LW, so use the LW before; after HW the tide is falling towards the next LW, so use the LW after.
  3. Springs, neaps or in between? Work out the range (HW height − that LW height) and compare it with the mean ranges printed on the diagram. As in Lesson 23, the day is called springs, neaps or in between by whichever of 4.8 m, 3.6 m (halfway) and 2.4 m its range is nearest. For reading the curve, though, use the actual range, as in the table below.
Port Kerran — times UT (add 1 hour for BST), heights in metres above chart datum
DayTimemHW/LW
Fri 4 Jun03154.6HW
09251.1LW
15354.5HW
21451.2LW

For example, for the height at 1900 BST on Fri 4 Jun: the nearest HW is 1535 UT = 1635 BST, 4.5 m. 1900 is after it, so use the following LW, 2145 UT = 2245 BST, 1.2 m. Range = 4.5 − 1.2 = 3.3 m.

Day’s rangeWhich curve
4.8 m or moreThe spring (solid) curve.
Between 2.4 and 4.8 mInterpolate by eye between the curves, in proportion to where the range falls.
2.4 m or lessThe neap (dashed) curve.

Our range of 3.3 m is in between (nearest 3.6 m); read about 40% of the way from the neap curve to the spring curve. Never extend beyond the curves: a range bigger than springs still uses the spring curve, and one smaller than neaps the neap curve.

Method A: height of tide at a given time

  1. Write the HW time (BST) in the box under HW and work out how long before or after HW your time is.
  2. On the height panel, mark the LW height on the bottom scale and the HW height on the top scale, and join them: the range line.
  3. From your time on the bottom axis, go straight up to the curve (springs, neaps or in between).
  4. From that point go horizontally across to the range line.
  5. From the range line go straight up to the height scale and read the height of tide.

The drawing is really doing a sum. Where you met the curve you can read the factor, and the range line just multiplies the factor by the range and adds it to the LW height:

Height = LW + factor × range

Height of tide is above chart datum. Then depth = charted depth + height of tide (Lesson 24).

Worked example

Height of tide at Port Kerran at 1900 BST, Fri 4 Jun

0.00.10.20.30.40.50.60.70.80.91.0Factor00112233445566HW heights (m)LW heights (m)-6-5-4-3-2-1HW+1+2+3+4+5+6Hours from high water at Port KerranSprings (4.8 m range)Neaps (2.4 m range)3.5 mfactor 0.69
The construction: HW+2h25 → curve (factor 0.69) → range line → 3.5 m.
  1. 1HW 1535 UT = 1635 BST, 4.5 m. 1900 BST is 2h25 after HW: HW+2h25.
  2. 2Time after HW, so the LW after: 2245 BST, 1.2 m. Range 3.3 m: in between (nearest 3.6 m); read about 40% of the way from the neap curve to the spring curve.
  3. 3Range line from 1.2 on the LW scale to 4.5 on the HW scale.
  4. 4Up from HW+2h25 to the curve: factor ≈ 0.69. Across to the range line, then up to the height scale.
  5. 5Check: 1.2 + 0.69 × 3.3 ≈ 3.5 m.

Height of tide ≈ 3.5 m above chart datum at 1900 BST.

InteractiveTidal curve explorer

Choose a high water from the Port Kerran table, then drag across the curve (or use the slider) to pick a time. The construction, the factor and the height update as you go, and the LW used switches as you cross HW.

0.00.20.40.60.81.0Factor00112233445566HW height (m)LW height (m)−6−5−4−3−2−1HW+1+2+3+4+5+6Hours from HW Port KerranSpringsNeaps0.693.5 m
High water
1635 BST (1535 UT), 4.5 m
Your time
1900 BST = HW+2h25
Low water (after HW)
2245 BST (2145 UT), 1.2 m
Range
4.5 − 1.2 = 3.3 m
Which curve
in between (nearest 3.6 m); read about 40% of the way from the neap curve to the spring curve
Factor from the curve
0.69
Height of tide
1.2 + 0.69 × 3.3 ≈ 3.5 m
Depth over Brennan Bank (2.1 m)
5.6 m
Mew Rock (dries 1.2 m)
covered by 2.3 m

Mean ranges at Port Kerran: springs 4.8 m, neaps 2.4 m. Between them, the thin orange curve is the one for the day’s range.

Method B: the time for a given height

Often you know the height you need and want the time: when will there be enough water to cross a bank, enter a harbour or float off a mooring? Work the construction backwards.

  1. Pick the HW nearest the time you expect, the LW on the same side (rising tide: LW before; falling tide: LW after), and draw the range line.
  2. Find the height you need on the top scale and go straight down to the range line.
  3. Go horizontally to the curve, on the rising side (left of HW) or the falling side (right of HW) as required.
  4. Go straight down to the time axis and read the time from HW. Convert it to a clock time.

Factor = (height needed − LW) ÷ range

The factor to look for on the curve.

If the height you need is below the LW, there is always at least that much water on that side of HW; if it is above the HW, this tide never gives it.

InteractiveTime for a height

Choose a high water and the rising or falling side, then set the height of tide you need with the slider, the buttons, or by dragging across the height panel. The panel below gives the time on both sides of HW.

0.00.20.40.60.81.0Factor00112233445566HW height (m)LW height (m)−6−5−4−3−2−1HW+1+2+3+4+5+6Hours from HW Port KerranSpringsNeaps1.2 mHW−4h310.17
Height of tide needed
1.2 m
High water
1441 BST (1341 UT), 5.1 m
Low water (before HW)
0832 BST (0732 UT), 0.4 m
Range
4.7 m — springs (nearest 4.8 m); read about 90% of the way from the neap curve to the spring curve
Factor
(1.2 − 0.4) ÷ 4.7 = 0.17
Time from the curve
HW−4h31 = 1010 BST

Rising: the tide reaches 1.2 m at 1010 BST (HW−4h31).

Falling: the tide drops below 1.2 m at 1918 BST (HW+4h37).

Putting it to work: crossing a shallow patch

Brennan Bank, south of Gull Point, has a least charted depth of 2.1 m. Crossing it saves a detour round the South Brennan buoy, but our yacht draws 1.8 m. How much water you want under the keel is the skipper’s call: perhaps 0.5 m on a calm day over sand, more in a swell, which makes the boat rise and fall and breaks heavily on shoals. Here the skipper chooses 1.5 m.

Height needed = draught + clearance − charted depth

Charted depth is below chart datum; height of tide is above it.

Worked example

Brennan Bank on Tue 1 Jun: when can we cross?

  1. 1Height needed = 1.8 + 1.5 − 2.1 = 1.2 m.
  2. 2The morning LW is 0832 BST, only 0.4 m, so the bank is closed for a while either side of it. Find the latest time on the falling tide and the earliest on the rising tide.
  3. 3Falling: the nearest HW is the morning one, 0222 BST 5.2 m, with the LW after it (0.4 m). Range 4.8 m, springs. Factor = (1.2 − 0.4) ÷ 4.8 ≈ 0.17, found on the falling side at HW+4h32: 0654 BST.
  4. 4Rising: now the nearest HW is the afternoon one, 1441 BST 5.1 m, with the LW before it — the same 0.4 m LW. Range 4.7 m. Factor ≈ 0.17, on the rising side at HW−4h31: 1010 BST.

Cross before 0654 BST, or wait until after 1010 BST.

Notice that the two answers use different high waters: each time is worked from the HW nearest to it, with its own range line. At neaps the problem can vanish altogether: on Tue 8 Jun no LW falls below 1.8 m, giving at least 3.9 m over the bank, so the yacht has 2.1 m under the keel at any state of the tide.

The same method tells you when a drying hazard covers. Mew Rock dries 1.2 m, so it is uncovered whenever the height of tide is below 1.2 m. On the morning of Tue 1 Jun it uncovers at about 0654 BST and covers again at about 1010 BST, the same times as for the bank, since both depend on the tide reaching 1.2 m. Covered, it is invisible but no less dangerous; its isolated danger beacon marks it at every state of tide, so keep clear.

Port Kerran levels for reference: MHWS 5.2 m, MHWN 4.0 m, MLWN 1.6 m, MLWS 0.4 m above chart datum.

Key terms

Standard port
A port with full daily predictions of every HW and LW, and its own tidal curve.
Secondary port
A place whose tides are found from a standard port using time and height differences (Lesson 27).
Tidal curve
A graph of how the tide rises and falls between LW and HW at a standard port, against hours from HW.
Factor
The fraction of the range the tide has risen above LW: 0 at LW, 1 at HW.
Range
HW height minus the LW height on the same side of it, used to choose and interpolate the curve.
Range line
The line on the height panel from the LW height (bottom scale) to the HW height (top scale).
Interpolate
Read between the spring and neap curves in proportion to where the day’s range lies.
Hours from HW
The time axis of the curve: how long before (−) or after (+) high water.
Height needed
Draught + clearance − charted depth: the height of tide you must have to cross a patch.

Exercises

Check your understanding. You get a second try at each question, then the worked answer. Score 70% or more to complete the lesson — your progress is saved in this browser.

1
What makes Port Kerran a standard port?
2
Tue 1 Jun: HW Port Kerran is 1441 BST. You want the height of tide at 1730 BST. Which low water do you use with this high water?
Port Kerran — times UT (add 1 hour for BST), heights in metres above chart datum
DayTimemHW/LW
Tue 1 Jun01225.2HW
07320.4LW
13415.1HW
19500.5LW
3
Tue 8 Jun: HW 0657 UT 3.8 m, LW 1316 UT 1.8 m. Which curve do you use for the falling tide after this high water?
4
Sat 12 Jun: HW 1152 BST 4.6 m; the LW before it is 0541 BST 1.1 m. At 0900 BST you read a factor of 0.58 from the curve. What is the height of tide?
m
5
Using the table and the curve, find the height of tide at Port Kerran at 1700 BST on Wed 2 Jun.
Port Kerran — times UT (add 1 hour for BST), heights in metres above chart datum
DayTimemHW/LW
Wed 2 Jun02005.1HW
08090.6LW
14185.0HW
20270.7LW
0.00.10.20.30.40.50.60.70.80.91.0Factor00112233445566HW heights (m)LW heights (m)-6-5-4-3-2-1HW+1+2+3+4+5+6Hours from high water at Port KerranSprings (4.8 m range)Neaps (2.4 m range)
m
6
Find the height of tide at Port Kerran at 1100 BST on Tue 8 Jun.
Port Kerran — times UT (add 1 hour for BST), heights in metres above chart datum
DayTimemHW/LW
Tue 8 Jun00371.8LW
06573.8HW
13161.8LW
19363.8HW
0.00.10.20.30.40.50.60.70.80.91.0Factor00112233445566HW heights (m)LW heights (m)-6-5-4-3-2-1HW+1+2+3+4+5+6Hours from high water at Port KerranSprings (4.8 m range)Neaps (2.4 m range)
m
7
Thu 3 Jun, 1300 BST: the course yacht (draught 1.8 m) crosses Brennan Bank, least charted depth 2.1 m. What is the clearance under the keel at the shallowest point?
Port Kerran — times UT (add 1 hour for BST), heights in metres above chart datum
DayTimemHW/LW
Thu 3 Jun02374.9HW
08460.8LW
14554.7HW
21050.9LW
0.00.10.20.30.40.50.60.70.80.91.0Factor00112233445566HW heights (m)LW heights (m)-6-5-4-3-2-1HW+1+2+3+4+5+6Hours from high water at Port KerranSprings (4.8 m range)Neaps (2.4 m range)
m
8
Mew Rock dries 1.2 m. On the morning of Mon 14 Jun, how many minutes before the high water does the rising tide cover it (height of tide 1.2 m)?
Port Kerran — times UT (add 1 hour for BST), heights in metres above chart datum
DayTimemHW/LW
Mon 14 Jun06010.5LW
12115.1HW
18210.4LW
0.00.10.20.30.40.50.60.70.80.91.0Factor00112233445566HW heights (m)LW heights (m)-6-5-4-3-2-1HW+1+2+3+4+5+6Hours from high water at Port KerranSprings (4.8 m range)Neaps (2.4 m range)
min before HW
9
Wed 2 Jun, morning. The course yacht (draught 1.8 m) wants to cross Brennan Bank (least depth 2.1 m) with 1.5 m under the keel. Work out the height of tide needed, then the latest time to cross on the falling tide. Give the time as minutes after HW.
Port Kerran — times UT (add 1 hour for BST), heights in metres above chart datum
DayTimemHW/LW
Wed 2 Jun02005.1HW
08090.6LW
14185.0HW
20270.7LW
0.00.10.20.30.40.50.60.70.80.91.0Factor00112233445566HW heights (m)LW heights (m)-6-5-4-3-2-1HW+1+2+3+4+5+6Hours from high water at Port KerranSprings (4.8 m range)Neaps (2.4 m range)
min after HW
10
Which of these questions is answered by working the curve “backwards”, from a height to a time?

0 of 10 answered · 0 correct

Tidal curve practice

Fresh days and times from the Port Kerran table: heights, clearances, times for a height, and choosing the right tides and curve.