Fresh water allowance and dock water allowance explained
How to calculate the fresh water allowance and the dock water allowance, where both formulas come from in the Load Lines Convention, and a worked example.
Operium Solutions · Updated 25 September 2026 · 5 min read
The fresh water allowance (FWA) is how far a ship may submerge her load line in fresh water, stated in millimetres on her International Load Line Certificate. The dock water allowance (DWA) is the part of it that applies in brackish dock water: DWA = FWA × (1025 − ρ) / 25, with ρ in kg/m³. Both rest on the Load Lines Convention of 1966.
Why a ship floats deeper in fresh water
A floating ship displaces her own mass of water. Fresh water holds less mass per cubic metre than sea water, so the same ship needs more volume under water and sinks until she has it. The convention works with salt water at 1.025 and fresh water of unit density, 1.000.
The size of that sinkage follows from the ship's TPC, the tonnes needed to immerse her one centimetre in salt water. With Δ the displacement in metric tonnes (MT):
- Waterplane area A = 100 × TPC / 1.025 m², because one centimetre of salt water over A weighs TPC tonnes.
- Extra volume in fresh water = Δ / 1.000 − Δ / 1.025 = Δ × 0.025 / 1.025 m³.
- Sinkage = extra volume / A = Δ × 0.025 / (100 × TPC) m = Δ / (4 × TPC) mm.
The result assumes the waterplane area stays the same over those few centimetres.
The fresh water allowance in the Load Lines Convention
IMO adopted the International Convention on Load Lines on 5 April 1966; it entered into force on 21 July 1968. Its 1988 Protocol, in force since 3 February 2000, revised certain regulations in the technical annexes.
In the 1966 text, as published in the UN Treaty Series, Regulation 40(7) of Annex I obtains the minimum freeboard in fresh water (density 1.000) by deducting Δ/40T centimetres from the minimum freeboard in salt water. Δ is the ship's salt water displacement at her summer load waterline, T her TPC in salt water at that same waterline. Δ/40T centimetres is Δ / (4 × TPC) millimetres, the result derived above. If that displacement cannot be certified, Regulation 40(8) takes 1/48 of the summer draught as the deduction.
The formula survives in national rules. The UK notice MSN 1752 (2000), issued under regulations that incorporate the 1988 Protocol amendments, gives it as Δ/4T with T in metric tons per centimetre. The US rules in 46 CFR 42.20-75 (September 2026) keep Δ/40T, in inches.
On the ship, the allowance appears in two places:
- The certificate states the allowance for fresh water in millimetres for all freeboards other than timber, with a separate figure for timber freeboards.
- The load line mark, amidships on each side, carries a line marked F abaft the vertical line. The gap between the summer line and F is the fresh water allowance, and the same gap applies when loading in fresh water to the other load lines; TF marks the tropical fresh water line.
Dock water allowance: the formula and its units
Article 12(2) of the convention lets a ship in fresh water of density 1.000 submerge the applicable load line by the FWA on her certificate. For any other density the allowance is scaled to the gap between 1.025 and the density of the water she is in. Written out:
- DWA = FWA × (1.025 − ρ) / 0.025, with ρ in t/m³
- DWA = FWA × (1025 − ρ) / 25, with ρ in kg/m³
Both give the same result. The second form needs ρ in kg/m³: dock water of 1.0210 t/m³ goes in as 1,021.0. Entered as 1.021, it returns a DWA of more than 13 metres. ρ is the actual density of the water the ship floats in (Article 12(2)).
Worked example: fresh water allowance and DWA
A fictitious bulk carrier: displacement at the summer load waterline 47,165 MT and TPC 36.9 MT/cm, both in salt water; assigned summer freeboard 3,125 mm. She loads in dock water of 1.0210 t/m³, and her zone and season call for the summer load line.
| Step | Calculation | Result |
|---|---|---|
| FWA | 47,165 / (4 × 36.9) | 319.546 mm, 320 mm on the certificate |
| Dock water density | 1.0210 t/m³ × 1,000 | 1,021.0 kg/m³ |
| DWA | 320 × (1,025 − 1,021.0) / 25 | 51.2 mm, used as 51 mm |
| Minimum freeboard in this dock | 3,125 − 51 | 3,074 mm |
| Freeboard read at the mark, ship upright | reading | 3,090 mm |
| Margin | 3,090 − 3,074 | 16 mm |
| TPC in dock water | 36.9 × 1.0210 / 1.025 | 36.756 MT/cm |
| Cargo still to load | 1.6 cm × 36.756 | 58.8 MT |
We round the FWA to the nearest millimetre, the unit of the certificate, and the DWA down to whole millimetres, so the allowance errs on the safe side. The TPC in dock water is the salt water TPC scaled by ρ / 1.025; tonnes are rounded to one decimal. For this ship the DWA runs with the density as follows:
| Density (t/m³) | 1.0000 | 1.0050 | 1.0100 | 1.0150 | 1.0210 | 1.0250 |
|---|---|---|---|---|---|---|
| DWA (mm) | 320 | 256 | 192 | 128 | 51.2 | 0 |
Is the ship on her marks?
A ship loaded down to the appropriate load line is said to be on her marks. Article 12(1) keeps that line above water when she puts to sea, during the voyage and on arrival; paragraphs (2) and (3) are the only exceptions. The DWA therefore holds only for the water she is in. Loaded to a freeboard of 3,074 mm in the dock, she rises by about the DWA on reaching sea water and floats at about her summer mark. Article 12(3) adds an allowance for ports on rivers and inland waters: the ship may load deeper by the weight of the fuel and other consumables she will use before reaching the sea.
Density correction in a draft survey versus the dock water allowance
A draft survey and the load line both allow for water lighter than 1.025 t/m³, but they answer different questions. A draft survey reads the draft, takes the displacement from the ship's tables and corrects it by displacement × (ρ − 1.025) / 1.025, with 1.025 the reference density of the tables (UNECE draught survey code, 1992); in our draft survey example, dock water of 1.0210 t/m³ gives a correction of −182.710 MT at the final survey. The DWA keeps the mass fixed and asks how far the ship may sink. How the density reading and its correction are recorded: the draft survey report.
FOSS
FOSS is software for inspection companies and the port, with a sector specialist at the table. Readings are entered once, offline on board if need be, and nine report types come from that input.
Frequently asked questions
What is the difference between the fresh water allowance and the dock water allowance?
The fresh water allowance is the amount by which the load line may be submerged in fresh water of unit density, 1.000 t/m³, and it is stated on the load line certificate. The dock water allowance is the proportional part of it for water between 1.000 and 1.025 t/m³, as Article 12(2) of the Load Lines Convention provides.
Where do I find a ship's fresh water allowance?
On the International Load Line Certificate, which states the allowance for fresh water in millimetres, with a separate figure for timber freeboards. On the hull it is the distance between the summer load line and the line marked F on the load line mark.
Which density goes into the dock water allowance formula?
The actual density of the water the ship floats in. In DWA = FWA × (1025 − ρ) / 25, ρ is in kg/m³, so dock water of 1.0210 t/m³ is entered as 1,021.0. With ρ in t/m³ the same formula reads FWA × (1.025 − ρ) / 0.025.
Why is the fresh water allowance Δ / (4 × TPC)?
Regulation 40(7) of the 1966 Load Lines Convention deducts Δ/40T centimetres, which is Δ / (4 × TPC) millimetres. It is the extra volume the same mass needs in fresh water, divided by the waterplane area that the TPC stands for. If the displacement cannot be certified, the deduction is 1/48 of the summer draught.
Does the dock water allowance let a ship sail deeper than her marks?
Only while she is in water lighter than 1.025 t/m³: she may leave the dock with the mark submerged by the DWA, and rises by about that amount on reaching sea water. A ship leaving a river or inland port may also load deeper by the weight of the fuel and other consumables used on the way to sea (Article 12(3)).
Further reading
Sources
- International Maritime Organization, International Convention on Load Lines (adoption 5 April 1966, entry into force 21 July 1968; 1988 Protocol in force 3 February 2000) (consulted September 2026) — https://www.imo.org/en/About/Conventions/Pages/International-Convention-on-Load-Lines.aspx
- United Nations, Treaty Series, vol. 640, No. 9159, International Convention on Load Lines, 1966, Article 12, Annex I Regulations 6(2) and 40(7)–(8), Annex III (International Load Line Certificate) (1968) — https://treaties.un.org/doc/Publication/UNTS/Volume%20640/volume-640-I-9159-English.pdf
- Maritime and Coastguard Agency (UK), MSN 1752 (M), The Merchant Shipping (Load Line) Regulations 1998, as amended by the Merchant Shipping (Load Line) (Amendment) Regulations 2000, summary and Schedule 4, paragraphs 1 and 3(6) (2000) — https://assets.publishing.service.gov.uk/media/5a7f0d68e5274a2e8ab49cee/msn1752-gov.pdf
- UNECE, Code of Uniform Standards and Procedures for the Performance of Draught Surveys of Coal Cargoes, ECE/ENERGY/19 (3 February 1992), density correction: displacement × (measured density − reference density of the ship's hydrostatic data) / reference density — https://unece.org/fileadmin/DAM/energy/se/pdfs/coal/1992_UNECE_Draught_Survey_Code_January_1992_E.pdf (unece.org refused automated access in September 2026; archived copy of the same file: https://web.archive.org/web/20210612044926/https://unece.org/fileadmin/DAM/energy/se/pdfs/coal/1992_UNECE_Draught_Survey_Code_January_1992_E.pdf)
- US Code of Federal Regulations, 46 CFR 42.07-10 (Submergence of load line marks) and 42.20-75(e) (Fresh water freeboard), eCFR up to date as of 23 September 2026 — https://www.ecfr.gov/current/title-46/chapter-I/subchapter-E/part-42
