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Levelling in Surveying: Instruments, Methods and Applications

How a level and staff find the height of any point, the instruments you will meet on site, the types of levelling, and a full level book reduced by both the height of instrument and rise and fall methods.

On this page
  1. What Is Levelling in Surveying and How Does It Work?
  2. What Do Datum, Benchmark, Backsight and Reduced Level Mean?
  3. Which Instruments Are Used for Levelling?
  4. What Are the Types of Levelling in Surveying?
  5. How Do You Set Up a Dumpy Level and Take Readings?
  6. Height of Instrument or Rise and Fall: Which Method Should You Use?
  7. Where Is Levelling Used on a Building Site?
  8. What Errors Spoil a Level Book, and How Do You Avoid Them?
  9. How Can You Practise Levelling in Surveying?
Summary — what you need to know
  • Levelling finds the reduced level (RL) of points: their height above a datum such as mean sea level.
  • Every level run starts on a benchmark of known height and should close on one.
  • The height of instrument method is faster; rise and fall checks every reading.
  • Both methods must pass ΣBS − ΣFS = last RL − first RL.
  • Equal backsight and foresight distances cancel most collimation and curvature error.

Levelling in surveying is the process of measuring vertical distances between points to find their heights relative to each other or to a fixed datum. Site engineers use it to set plinth levels, foundation depths, road profiles and drain gradients.

5 mm
Least count of a standard levelling staff
±0.025√K m
Typical ordinary levelling misclosure, K in km
ΣBS − ΣFS
Must equal last RL minus first RL

What Is Levelling in Surveying and How Does It Work?

Levelling works on one principle: a level gives a horizontal line of sight, and a vertical staff measures how far each ground point sits below that line.

Read the staff on point A, then on point B. The difference between the two readings is the difference in height between A and B. A larger reading means lower ground.

Dumpy level on a tripod giving a horizontal line of sight to staffs on points A and B; backsight minus foresight gives the rise from A to B
Levelling is not contouring

Levelling measures heights. Contouring uses those heights to draw lines of equal level on a plan. For the plot-scale version, read our guide to the contour survey.

What Do Datum, Benchmark, Backsight and Reduced Level Mean?

These terms describe each reading and height in a level book. Learn them in the order you meet them in the field.

Basic terms used in levelling

In field order
TermMeaning
DatumThe zero-height surface, usually mean sea level (MSL). An assumed datum is a local zero, such as 100.000 m.
Benchmark (BM)A fixed point of known RL. GTS benchmarks are national; temporary benchmarks (TBM) serve one job.
Backsight (BS) First readingThe first reading after setting up, taken on a point of known RL.
Intermediate sight (IS)Any reading between the backsight and foresight.
Foresight (FS) Last readingThe last reading before you move the instrument.
Height of instrument (HI)RL of the line of sight: known RL + backsight. Not the tripod height.
Reduced level (RL)Height of a ground point above datum: HI − staff reading.
Change point (CP)A point read as a foresight, then as a backsight after you move the level.
Backsight and foresight are named by reading order, not by which way the telescope points.

In India, heights refer to the Survey of India vertical datum based on mean sea level, first defined in 1905. Survey of India reports that about 70% of the old benchmarks are lost or disturbed. Confirm a benchmark's current value before you start from it.

Which Instruments Are Used for Levelling?

The levelling instruments in surveying are the level, the levelling staff and the tripod. Five types of level are common on Indian sites.

Types of levelling instruments

Most common first
InstrumentHow it levelsTypical use
Dumpy level Classroom standardTelescope fixed to the base; foot screws centre the bubbleStudent practicals, general site levels
Tilting levelTelescope tilts slightly with a fine screw for each readingMore accurate levelling
Automatic (auto) level Site favouriteAn internal compensator keeps the line of sight horizontalFast site work, plinth and slab levels
Digital levelReads a bar-coded staff electronically and stores dataLong runs, fewer booking errors
Laser levelProjects a level beam, often a 360° rotating planeFloors, false ceilings, excavation grades

A dumpy level has an eyepiece, objective lens, focusing screw, bubble tube, three foot screws and a tribrach (the levelling head). Staffs come as solid (about 3 m), folding (4 m) or telescopic types, graduated to 5 mm. For small jobs, a bubble tool still helps; see our guide to the spirit level.

What Are the Types of Levelling in Surveying?

The types of levelling in surveying fall into two groups: direct (spirit) levelling with a level and staff, and indirect levelling from angles or pressure.

Levelling methods compared

Accuracy is relative
MethodWhat it doesAccuracy
SimpleHeight difference between two nearby points from one setupHigh
Differential StandardLinks distant points with several setups and change pointsHigh
FlyQuick run to carry or check a benchmark valueApproximate
CheckCloses back on the start or a known BM to test the workHigh
Profile (longitudinal)RLs at intervals along a road, drain or pipe centrelineHigh
Cross-sectioningRLs at right angles to the centreline, for earthworkHigh
ReciprocalReadings from both banks of a river; true difference = (h₁ + h₂) ÷ 2High over wide gaps
Trigonometric IndirectHeight from vertical angle and distance, often by total stationMedium to high
Barometric and hypsometric RoughHeight from air pressure or the boiling point of waterApproximate
Textbooks group these as two, three or more types. The methods are the same; only the grouping differs.

How Do You Set Up a Dumpy Level and Take Readings?

You set up a dumpy level with three steps of temporary adjustment, then take readings in the order BS, IS and FS.

  1. Set up: spread the tripod legs firmly and keep the head roughly level.
  2. Level up: turn two foot screws in opposite directions to centre the bubble, then use the third screw at 90°.
  3. Remove parallax: focus the eyepiece on the cross-hairs, then the objective on the staff.
Stage 1

Backsight on the BM

Book the reading in the BS column against the benchmark.

Stage 2

Intermediate sights

Read every point you need from this setup.

Stage 3

Foresight on a change point

Keep the staff on the CP while the level moves ahead.

Stage 4

New setup, backsight on the CP

Repeat until you reach the last point.

Stage 5

Close on a benchmark and check

Run the arithmetic check and compare the misclosure with the limit.

Permanent adjustment, such as the two-peg test for collimation, is a periodic instrument check, not a daily task.

Height of Instrument or Rise and Fall: Which Method Should You Use?

Use the height of instrument method when you have many intermediate sights and want speed. Use rise and fall when every reading must be checked.

The two formulas
HI = known RL + BS · RL = HI − (IS or FS)
Rise and fall: compare each reading with the one before it. A smaller reading is a rise; a larger reading is a fall. New RL = previous RL + rise, or − fall.

The illustrative readings below start on a benchmark of RL 100.000 m, with one change point (CP1).

Level book: height of instrument method

All values in metres
StationBSISFSHIRL
BM1.525––101.525100.000
A–1.840––99.685
B–2.215––99.310
CP1 Change point1.105–2.630100.00098.895
C–0.965––99.035
D––1.380–98.620
Total2.6305.0204.010––
HI at CP1 = 98.895 + 1.105 = 100.000 m. Each RL = HI − that point's reading.

Same readings: rise and fall method

All values in metres
StationBSISFSRiseFallRL
BM1.525––––100.000
A–1.840––0.31599.685
B–2.215––0.37599.310
CP1 Change point1.105–2.630–0.41598.895
C–0.965–0.140–99.035
D––1.380–0.41598.620
Total2.630–4.0100.1401.520–
After the change point, compare C with the new backsight on CP1 (1.105 − 0.965 = 0.140 rise), not with the foresight.
Worked exampleArithmetic checks on the level book
ΣBS − ΣFS = 2.630 − 4.010−1.380 m
ΣRise − ΣFall = 0.140 − 1.520−1.380 m
Last RL − first RL = 98.620 − 100.000−1.380 m
HI full check: (3 × 101.525) + (2 × 100.000) − ΣIS − ΣFS = 504.575 − 5.020 − 4.010495.545 m
Sum of all RLs except the first = 99.685 + 99.310 + 98.895 + 99.035 + 98.620495.545 m
ResultAll checks agree: D is 1.380 m below the BM

Rise and fall

Pick for checking

Best for level books that must be audited.

  • Checks every reading, including intermediate sights
  • Three totals must agree: BS/FS, rise/fall, RLs
  • Slower when there are many intermediate sights
  • Suits profiles, foundations and exam answers

Height of instrument

Pick for speed

Best for setting out and contour grids.

  • One subtraction per point from the HI
  • Basic check misses intermediate-sight errors
  • Fast when you read many points per setup
  • Suits slab levels, grids and setting out
The practical rule

The arithmetic check only proves your sums. Only closing on a known benchmark proves your field readings.

Where Is Levelling Used on a Building Site?

Levelling is used wherever a height or slope must be right before concrete, soil or pipes go in.

  • Fixing plinth level above the road crown, so storm water drains away from the house
  • Setting foundation depths and slab, floor and sill levels
  • Laying drain, sewer and pipe gradients
  • Road and railway profiles and cross-sections
  • Estimating cut-and-fill earthwork for a sloping plot
  • Collecting spot levels for contour plans

A contour is a line joining points of equal RL. Closely spaced contours show steep ground. In Bengaluru, roads are often relaid higher over the years, so take a fresh level on the road crown before fixing plinth height. Our guide to land measurement units covers the plan-area side of a plot.

What Errors Spoil a Level Book, and How Do You Avoid Them?

Levelling errors fall into three groups: instrumental, personal and natural. Most can be controlled with field habits.

  • Collimation error (instrumental): the line of sight is not horizontal when the bubble is centred. Keep BS and FS distances equal.
  • Staff not vertical (personal): a tilted staff reads too high. Rock the staff gently and book the lowest reading.
  • Parallax and misreading (personal): refocus, and read the staff aloud as you book it.
  • Booking errors (personal): entering a reading in the wrong column flips the arithmetic.
  • Curvature and refraction (natural): combined correction is 0.0673d² m, with d in km. Balanced sights cancel most of it.
  • Heat shimmer, wind and soft ground (natural): work in the cooler hours and press tripod legs firmly in.
Check the allowable misclosure

Textbooks give ±0.100√K m for rough, ±0.025√K m for ordinary, ±0.012√K m for accurate and ±0.006√K m for precise levelling. Some texts use different constants, so follow your project specification or department manual.

Precise levelling notes cap sights at about 50–60 m, so keep sights short on accurate work.

How Can You Practise Levelling in Surveying?

The best practice is one closed-loop level run with a dumpy or auto level, reduced both ways.

Start and finish on the same benchmark, and use at least two change points. Reduce the book by both methods and confirm that all checks agree and the misclosure is within limits. Follow your syllabus text or department survey manual for tolerances. On large projects, qualified surveyors with total stations or digital levels do this work.

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Frequently Asked Questions

What is levelling in surveying?

Levelling in surveying is the measurement of height differences between points using a level and a staff. The results give each point's reduced level above a datum such as mean sea level.

What is the purpose of levelling in surveying?

Levelling fixes the heights that construction depends on. Engineers use it to set plinth, floor and foundation levels, design road and drain gradients, estimate earthwork and draw contour plans.

What is the principle of levelling?

A level provides a horizontal line of sight, and a vertical staff measures the distance from that line down to each point. The difference between two staff readings equals the difference in height between the two points.

What are the three main types of levelling?

Many textbooks name simple, differential and fly levelling as the three main types of direct levelling. Others group methods as direct, trigonometric and barometric levelling. Profile, cross-section, check and reciprocal levelling are further types.

What instruments are used for levelling?

Levelling needs a level, a levelling staff and a tripod. The level can be a dumpy, tilting, automatic, digital or laser level. Staffs are solid, folding or telescopic and usually read to 5 mm.

How do you take levels with a level and staff?

Set up and level the instrument, remove parallax, then take a backsight on a benchmark. Read intermediate sights on each point and a foresight before moving the level. Book every reading and reduce the RLs.

What is differential levelling in surveying?

Differential levelling finds the height difference between points too far apart for one setup. The level moves forward in stages, linked by change points read as a foresight and then a backsight.

What is reciprocal levelling in surveying?

Reciprocal levelling crosses a wide river or valley where the level cannot sit midway. You read both staffs from each bank and average the two height differences. The average cancels collimation, curvature and refraction errors.

Reviewed by

HomeRun Team

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