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Chart datum

Chart datum is a fixed reference water level used as the baseline for measuring and depicting depths on nautical charts, ensuring safe navigation by representing the approximate lowest tide or water level that vessels can expect under normal conditions.^[1] Typically defined as a specific tidal datum, such as the Lowest Astronomical Tide (LAT)—the lowest level of tide predicted by astronomical forces over a 19-year cycle—chart datum is selected to minimize the risk of grounding by providing conservative depth soundings that account for tidal variations.^[1] Internationally, the International Hydrographic Organization (IHO) recommends LAT as the standard for chart datum to promote uniformity across global hydrographic surveys and electronic navigational charts (ENCs).^[1] In practice, chart datum varies by national hydrographic authority and local conditions; for example, the United States National Oceanic and Atmospheric Administration (NOAA) employs Mean Lower Low Water (MLLW), the average of the lower low water heights observed during the National Tidal Datum Epoch (1983–2001), while Canada uses Lower Low Water, Large Tide (LLWLT) in tidal areas.^[2]^[3] These datums are computed from long-term tide gauge observations to capture periodic astronomical influences, though they may be adjusted for shorter records at secondary stations using control data.^[2] In non-tidal waters, such as rivers or lakes, chart datum is often set as a low-water plane (e.g., the level exceeded by water levels approximately 95% of the time) or a sloping surface to reflect natural gradients, referenced to geodetic systems like the International Great Lakes Datum.^[3] The selection and application of chart datum are critical for hydrographic surveying, where soundings are reduced to this level, and for tide predictions, which report heights above it to enable real-time depth calculations for mariners.^[1] This reference framework also supports coastal engineering, boundary delineation, and environmental monitoring, but it excludes non-astronomical lows like storm surges, which can temporarily drop water levels below the datum.^[2] Ongoing updates to tidal epochs (every 20–25 years) ensure chart datum remains aligned with observed sea level changes, enhancing accuracy in an era of climate variability.^[2]

Introduction

Definition

Chart datum serves as the vertical reference surface from which water depths are measured and depicted on nautical charts, acting as the zero point for soundings to ensure safe navigation by referencing the lowest predictable water level under average meteorological conditions.^[4] This reference allows mariners to calculate under-keel clearance reliably, standardizing depth representations so that charted values indicate the minimum available water over the seabed.^[5] As a specific type of vertical datum, chart datum provides the baseline for relative elevations and depths in marine environments, distinct from horizontal datums like WGS 84, which define positional coordinates in latitude and longitude on the Earth's surface.^[6] Vertical datums such as chart datum focus on height measurements perpendicular to the reference surface, often tied to water level phases rather than geoid or ellipsoidal models used in land surveying.^[7] In uniform coastal areas, chart datum approximates a horizontal plane, but in transitional zones like rivers or estuaries, it may form a sloping or undulating surface to conform to the low water stage, accounting for hydraulic gradients and non-tidal influences.^[8] This adaptation ensures that depth measurements remain practical for navigation in varying hydrodynamic conditions, while maintaining consistency with broader tidal phenomena.^[2]

Historical Development

The concept of chart datum originated in the 18th and 19th centuries amid expanding hydrographic surveys for coastal navigation, where varying tidal ranges necessitated a uniform reference plane to ensure safe passage by minimizing underestimation of depths. Early nautical charting efforts, such as those by the British Admiralty and the U.S. Coast Survey (established 1807), relied on visual observations and rudimentary leveling to approximate low-water levels, but the introduction of mechanical tide gauges revolutionized the process. In 1851, Joseph Saxton invented the first self-registering tide gauge for the U.S. Coast Survey, allowing continuous recording of water levels and enabling precise determination of tidal phases relative to fixed benchmarks.^[9]^[10] This technological advance facilitated the shift from ad hoc low-water references to standardized datums, addressing inconsistencies in international waters where tides could exceed 10 meters in range.^[1] In the 19th century, the British Admiralty adopted Mean Low Water Springs (MLWS) as the primary chart datum for its nautical charts, calculated as the average of the lowest low waters during spring tides over an observational period, providing a conservative reference below mean sea level for hydrographic soundings.^[1] This choice reflected the era's focus on spring tide extremes in regions like the North Sea, where MLWS ensured clearances for vessels during neap tides. Similarly, in the United States, the Coast and Geodetic Survey began applying tidal datums to charts by the late 1800s, initially using Mean Low Water (MLW) on the Atlantic and Gulf coasts, while adopting Mean Lower Low Water (MLLW) for the Pacific coasts in 1878 to account for mixed semidiurnal tides with significant diurnal inequalities, with full implementation including Puget Sound by 1921.^[5]^[11] East Coast practices remained more varied until the late 20th century, with gradual harmonization efforts amid complex tidal regimes involving continental shelf influences.^[11] Parallel developments occurred in other nations, such as France's use of lowest low water references in early surveys, contributing to later IHO harmonization efforts. The early 20th century saw further standardization through national tidal epochs, with the U.S. establishing its first 19-year National Tidal Datum Epoch (NTDE) from 1924 to 1942 in 1923, aligning computations with the 18.6-year lunar nodal cycle to average long-term variations and reduce errors from short-term observations.^[5] This epoch, updated periodically (e.g., 1941–1959 in 1964), was influenced by expanded tide gauge installations post-1900, which provided data for harmonic analysis and datum refinement across over 100 U.S. stations by the 1930s.^[10] In 1980, the National Tidal Datum Convention mandated MLLW as the uniform chart datum nationwide, completing the East Coast transition from MLW and integrating with Pacific practices for consistent marine boundary definitions.^[12] In the late 20th century, international efforts led by the International Hydrographic Organization (IHO) promoted the adoption of Lowest Astronomical Tide (LAT) as a global standard for chart datum, defined as the lowest tide level predicted by harmonic constituents over a 19-year period, excluding meteorological effects. This shift, recommended by the IHO in 1996, replaced regional datums like MLWS in many nations, including the UK, to foster interoperability in electronic navigation and reduce safety risks from datum mismatches.^[1] The transition emphasized astronomical predictions over purely observational means, building on 19th-century gauge data and 20th-century computational advances for worldwide hydrographic consistency.^[13]

Tidal Datums

Lowest Astronomical Tide (LAT)

Lowest Astronomical Tide (LAT) is defined as the lowest tide level which can be predicted to occur under average meteorological conditions and under any combination of gravitational effects.^[14] This datum excludes the influence of meteorological factors such as wind or atmospheric pressure, focusing solely on astronomical tides driven by celestial bodies.^[15] The calculation of LAT involves harmonic analysis of tidal constituents derived from long-term tide gauge observations, followed by predicting tide levels over a complete 18.6-year lunar nodal cycle to capture variations in tidal amplitudes.^[16] The lowest value among all predicted tides within this period is then selected as the LAT value at the location.^[16] This method ensures a theoretically conservative reference that accounts for the full range of astronomical forcing. LAT offers significant advantages for maritime navigation by establishing a chart datum that maximizes the safety margin for under-keel clearance, as the predicted astronomical tide is unlikely to fall below this level (with exceedance probability less than 1% under normal conditions).^[17] Depths charted relative to LAT thus provide reliable minimum water depths, minimizing grounding risks even during low tides.^[14] Adoption of LAT as the primary chart datum began gaining widespread use among International Hydrographic Organization (IHO) member states in the 1990s, following IHO Resolution 3/1919, which recommends LAT for tidal waters to standardize international nautical charting.^[14] The United Kingdom Hydrographic Office (UKHO) employs LAT as its standard chart datum.^[18] Similarly, the Australian Hydrographic Service uses LAT for most large-scale nautical charts and tide tables.^[19] In the United Kingdom, LAT typically lies 0.9–3.7 meters below Mean Sea Level in the English Channel, varying by location (e.g., 0.93 m at Weymouth, 3.67 m at Dover), providing a practical vertical separation for coastal infrastructure and navigation planning.^[20]

Highest Astronomical Tide (HAT)

The Highest Astronomical Tide (HAT) is defined as the highest level of tide that can be predicted to occur under average meteorological conditions and any combination of astronomical conditions.^[2] This datum represents the theoretical maximum elevation due to gravitational forces from the sun and moon, excluding anomalous meteorological effects like storm surges.^[21] HAT is calculated using harmonic analysis of observed tidal data to derive constituent amplitudes and phases, which are then used to generate predictions over a full tidal cycle.^[5] The analysis spans the National Tidal Datum Epoch, approximately 18.6 to 19 years, to encompass the lunar nodal cycle and ensure representation of long-period variations.^[21] The highest value among these predicted tides serves as the HAT level, providing a conservative estimate for upper tidal limits.^[5] In applications, HAT is primarily employed for flood risk assessment, where it establishes baseline elevations for potential inundation zones, and in coastal engineering to inform the design of protective structures such as seawalls and levees.^[5] It also denotes upper limits in tide tables, aiding predictions of maximum water levels rather than routine depth soundings.^[22] Regarding safety, HAT delineates the upper boundary for drying heights on nautical charts, indicating areas that remain above the primary chart datum but could become submerged and hazardous during extreme high tides.^[23] Regionally, HAT is frequently used in conjunction with Lowest Astronomical Tide (LAT) in European and Australian hydrographic systems to define full tidal ranges for maritime boundaries and infrastructure planning.^[21] In Australia, it supports storm tide warnings and property delineations, while in Europe, it underpins flood-forecasting references and vertical clearance standards under International Hydrographic Organization (IHO) guidelines.^[24]^[23]

Mean High Water (MHW)

Mean High Water (MHW) is a tidal datum defined as the arithmetic mean of all high water heights observed over the National Tidal Datum Epoch, a 19-year period in the United States that accounts for long-term tidal cycles including the 18.6-year lunar nodal cycle.^[25] This datum represents the average elevation of high tides, excluding meteorological influences, and serves as a key reference for vertical positioning in coastal and marine environments.^[26] In mixed tide regimes, where tides exhibit both semidiurnal and diurnal characteristics, MHW provides a stable benchmark by averaging all high waters rather than focusing on extremes.^[27] The calculation of MHW involves computing the simple arithmetic mean of high water elevations recorded at tide stations during the epoch. The formula is MHW = (sum of all high water heights) / (number of high waters observed), typically derived from hourly or six-minute interval tide gauge data after applying harmonic analysis to remove non-tidal components.^[25] For stations with shorter observation periods, MHW is estimated by comparing simultaneous tide records with a nearby control station using methods like the range ratio adjustment, ensuring consistency with the full epoch datum.^[28] This process yields accuracies on the order of 1-3 cm depending on the region and data length, with semidiurnal areas generally showing lower variability than diurnal ones.^[25] MHW is primarily used as a reference for delineating coastal boundaries and shorelines, where the Mean High Water Line (MHWL)—the intersection of the MHW plane with the land—is legally recognized for property demarcation and public domain limits in many jurisdictions.^[28] In nautical charting, it serves as a secondary vertical reference in mixed tide areas, aiding navigation and hydrographic surveys by providing a predictable high-tide baseline for safe clearance assessments.^[5] For example, along the U.S. Atlantic coast, such as at Newport, Rhode Island, MHW is approximately 1.10 m above MLLW (1983-2001 epoch), defining the MHWL for coastal boundary surveys, supporting erosion monitoring and legal delineations.^[28]^[29] Variations in MHW computation occur based on regional tidal patterns; in semidiurnal regions like the U.S. East Coast, it closely aligns with twice-daily highs, while in diurnal areas like parts of the Gulf Coast, it reflects more variable single daily peaks.^[25] Internationally, such as in Australia, MHW is calculated over an 18.6-year cycle without U.S.-specific epoch adjustments, emphasizing the mean of all observed high waters for maritime boundary applications.^[15]

Mean Lower Low Water (MLLW)

Mean Lower Low Water (MLLW) is a tidal datum representing the arithmetic mean of the lower low water heights observed during each tidal day over the National Tidal Datum Epoch (NTDE), a 19-year period used in the United States to account for long-term tidal variations.^[26] This datum is particularly relevant in regions with mixed semidiurnal tides, where two low waters occur daily but one is typically lower than the other.^[25] The calculation of MLLW involves identifying the lower of the two low water heights for each tidal day (or the single low water in cases of predominantly diurnal tides) and then averaging these selected heights across the entire NTDE. The formula is expressed as:

\text{MLLW} = \frac{\sum \text{(lower low water heights over NTDE days)}}{\text{number of days in NTDE}}

This method ensures the datum reflects the average of the more conservative low water levels, excluding higher lows that could overestimate available water depth.^[25] MLLW was adopted as the standard chart datum for U.S. National Oceanic and Atmospheric Administration (NOAA) nautical charts along the Pacific Coast in 1980 under the National Tidal Datum Convention, and it remains the primary reference in areas with mixed tidal regimes, including parts of the Gulf Coast.^[12]^[5] In practice, MLLW is used to reduce hydrographic soundings to a consistent vertical reference, ensuring reported depths provide a conservative estimate of navigable water for safe passage. For instance, at Pacific Coast ports like San Francisco, soundings referenced to MLLW allow mariners to account for the lower low tides prevalent in mixed tide environments.^[5] One key advantage of MLLW over Lowest Astronomical Tide (LAT) is its position typically 0.2 to 0.5 meters above LAT in comparable mixed tide areas, balancing navigational safety with usability by avoiding excessively deep reported depths while permitting occasional negative tide predictions during extreme lows.^[30] This makes MLLW well-suited for regions where diurnal inequalities lead to variable low waters, promoting reliable charting without the full conservatism of LAT.^[5]

Lower Low Water Large Tide (LLWLT)

The Lower Low Water Large Tide (LLWLT) is a specialized tidal datum representing the average of the lowest lower-low water height from each of the 19 years in the National Tidal Datum Epoch. This definition focuses on extreme low water levels during the most conservative annual conditions, making it suitable for regions with pronounced mixed semidiurnal tides where diurnal inequality causes significant variation between successive low waters.^[31] The calculation of LLWLT involves selecting the lowest lower-low water height from each year over the epoch and then averaging these 19 values. This can be expressed as:

\text{LLWLT} = \frac{\sum \text{(annual lowest lower-low water heights over 19 years)}}{19}

This annual minimum approach ensures the datum captures the most extreme conditions, distinguishing it from broader averages like MLLW.^[32] In the United States, LLWLT serves as a supplemental reference to MLLW particularly in coastal areas with substantial diurnal inequality, such as parts of the Pacific region, to support more accurate predictions of extreme low waters for navigation and coastal engineering.^[33] It is employed in certain joint U.S.-Canada nautical charts and Pacific surveys where conservative depth estimates are needed.^[34] LLWLT enhances navigational safety by providing a deeper, more conservative baseline than standard datums during rare large-tide events, reducing the risk of grounding in shallow areas; for instance, it is adopted as the primary chart datum on most Canadian coastal charts to ensure adequate under-keel clearance under maximum tidal conditions.^[35] In mixed tide environments, where diurnal components amplify low-water variability, LLWLT offers targeted insight into these extremes without overlapping standard averaging techniques.^[1]

Mean Higher High Water (MHHW)

Mean Higher High Water (MHHW) is a tidal datum defined as the arithmetic mean of the higher high water heights observed on each tidal day over the 19-year National Tidal Datum Epoch (NTDE), which spans from 1983–2001 for current computations in the United States.^[5] This datum is particularly relevant in regions with mixed semidiurnal tides, where daily high waters exhibit inequality due to diurnal influences, ensuring a reference that captures the elevated portion of the tidal cycle.^[2] The calculation of MHHW involves selecting the higher of the two high waters (or the single high water in diurnal-dominant conditions) for each tidal day and then averaging these values across the NTDE period. For a dataset of observed tides, this is expressed as:

\text{MHHW} = \frac{\sum \text{higher high water heights}}{\text{number of tidal days}}

At primary tide stations with long-term records, this is computed directly from hourly or 6-minute interval measurements; for shorter series at secondary stations, values are derived through simultaneous comparisons with nearby control stations.^[5] Additionally, MHHW can be related to other datums via the diurnal high water inequality (DHQ), where MHHW = MHW + DHQ, with DHQ representing half the average difference between the two daily high waters.^[25] MHHW serves as a key reference for defining upper water levels in mixed tide regimes, supporting applications in nautical charting, hydrographic surveys, coastal engineering, and marine boundary delineation under the U.S. Submerged Lands Act.^[5] In flood modeling and inundation risk assessment, it approximates the threshold for coastal flooding onset, as land above MHHW remains dry under normal conditions, aiding in sea level rise projections and emergency planning.^[36] Its low water counterpart is Mean Lower Low Water (MLLW), which averages the lower lows in similar unequal cycles.^[2] In relation to Mean High Water (MHW), which averages both daily high waters, MHHW is typically 0.1–0.2 meters higher in regions with significant diurnal tide components, reflecting the inequality captured by DHQ.^[25] For instance, in the Gulf of Mexico, where tides are mixed with strong diurnal effects, MHHW is applied in NOAA nautical charts to predict and depict accurate high water extents, as seen at stations like Grand Isle, Louisiana, where DHQ values around 0.107 meters elevate MHHW above MHW.^[25]

Mean Low Water Springs (MLWS)

Mean Low Water Springs (MLWS) is defined as the average height of the low waters that occur during spring tides over a tidal epoch, typically a 19-year period encompassing a full Metonic cycle of lunar phases.^[37] This datum represents a reference level based on observed or predicted low water levels during the maximum tidal ranges, providing a conservative estimate for minimum water depths in navigational contexts.^[38] The calculation of MLWS involves identifying the periods of spring tides, which coincide with full and new moons when the sun, moon, and earth are aligned to produce the largest tidal ranges. It is computed as the average of the successive pairs of lowest low waters during these spring tide cycles throughout the epoch, using the formula MLWS = (sum of spring low water heights) / (number of spring low tides observed or predicted).^[39] This averaging process smooths out short-term variations, relying on harmonic analysis of tidal constituents such as the principal lunar (M2) and solar (S2) semi-diurnal components to approximate the level below mean sea level.^[40] Historically, MLWS served as the primary chart datum for British Admiralty charts, offering a practical reference for hydrographic surveys and nautical publications in regions with regular semidiurnal tides.^[1] This use persisted until the United Kingdom Hydrographic Office adopted Lowest Astronomical Tide (LAT) as the standard chart datum, aligning with international recommendations for safer navigation by ensuring all predicted tides remain non-negative relative to the datum.^[1] Variants of MLWS, such as Indian Spring Low Water (ISLW), continue to be employed in certain areas like the Indian Ocean, where mixed tides require a datum approximating the mean lower low water at springs, depressed below mean sea level by the sum of key tidal amplitudes.^[1] MLWS is advantageous in semidiurnal tidal regimes, such as those prevalent around the British Isles, where spring tides exhibit predictable and pronounced ranges, allowing for reliable estimation of low water conditions without excessive conservatism.^[39] For instance, on pre-LAT British charts, MLWS functioned as the sounding reference; in the Solent region near Cowes, it stands approximately 0.8 meters above LAT, illustrating its position as a higher but averaged low-water benchmark.^[41]

Mean High Water Springs (MHWS)

Mean High Water Springs (MHWS) is defined as the arithmetic mean of the high water heights occurring at the time of spring tides over the National Tidal Datum Epoch, a 19-year period used for standardizing tidal references.^[5] This datum captures the elevated high water levels during spring tides, when the gravitational alignment of the sun and moon produces greater tidal ranges, typically in semidiurnal tidal regimes where two high waters occur daily.^[5] The calculation of MHWS involves averaging the heights of high waters specifically during periods of large tidal range, identified as spring tides, across the full epoch of observations. Formally, it is given by the formula:

\text{MHWS} = \frac{\sum \text{high water heights during spring tides}}{\text{number of spring tides}}

This average is derived from direct water level measurements or, for efficiency, from harmonic analysis of tidal constituents over the epoch.^[5] In practice, spring tides are selected based on days with ranges exceeding the mean, ensuring the datum reflects consistent peak high water conditions rather than extremes.^[42] MHWS serves as a key reference for predicting maximum high water levels in tide tables, aiding mariners in anticipating peak tidal elevations during spring periods.^[5] It is also applied in coastal flood risk assessments, particularly in semidiurnal regions, to delineate inundation zones and inform engineering designs for shore protection.^[42] Relative to Mean High Water (MHW), MHWS is higher, with the vertical difference varying by local tidal dynamics and range, often representing the upper envelope of regular high tides.^[5] In historical contexts, such as older European nautical charts, MHWS was employed to establish upper limits for tidal inundation and coastal boundaries, though contemporary practices often supplement it with Highest Astronomical Tide (HAT) for more conservative safety margins.^[43] Its low water counterpart is Mean Low Water Springs (MLWS), which similarly averages lows during spring conditions.^[5]

Non-Tidal Datums

Mean Sea Level (MSL)

Mean Sea Level (MSL) serves as the primary non-tidal chart datum, defined as the arithmetic mean of hourly water level observations taken over a 19-year period, corresponding to the National Tidal Datum Epoch (NTDE) of 1983–2001. This long-term averaging captures the average position of the sea surface, approximating the geoid—an equipotential surface of Earth's gravity field—in areas with minimal tidal influence.^[25]^[44] The calculation of MSL involves summing all hourly height readings from tide gauges and dividing by the total number of observations, typically yielding a value that incorporates seasonal, interannual, and long-term sea level variations such as those due to climate change. This method ensures a representative average that smooths out short-term fluctuations, with the 19-year epoch aligned to the lunar nodal cycle for consistency in tidal datum computations. In practice, shorter observation periods may be used if specified, but the full epoch provides the most reliable estimate for hydrographic purposes.^[25]^[44] MSL is adopted as the chart datum in enclosed or semi-enclosed seas and large lakes where tidal ranges are negligible, generally less than 0.5 meters, making tidal datums impractical or unnecessary. Examples include the Great Lakes, which exhibit virtually no astronomical tides. In the Baltic Sea, where tidal amplitudes reach only 10–30 cm in western areas, the current chart datum is the Baltic Sea Chart Datum 2000 (BSCD2000), a fixed geodetic reference approximating MSL from the year 2000 to account for regional sea level variations. These datums provide consistent vertical references tied to national geodetic leveling networks, facilitating hydrographic surveys and nautical charting without the complications of tidal variability.^[45]^[46] The primary advantages of MSL as a chart datum lie in its stability and simplicity for non-tidal environments, offering a reliable baseline for depth measurements and elevation references in inland waters and lakes, where it avoids the need to account for tidal cycles and supports integration with geodetic systems. This stability enhances safety in navigation and consistency in long-term monitoring of water levels. In the Baltic Sea, for instance, BSCD2000 serves as the current chart datum under IHO practices, linked to national networks for precise hydrography.^[47]^[48]

Other References in Inland Waters

In inland waters, where tidal influences are minimal or absent, chart datums are established using alternative references tailored to local hydrological conditions, such as river stages or lake levels, to support navigation and hydrographic surveying. These datums prioritize safety by defining a reference plane below which water levels rarely drop, often constructed from historical low-water observations rather than astronomical tides.^[32] For rivers, chart datums commonly employ arbitrary low water planes or constructed surfaces approximating the lowest navigable levels during dry seasons, ensuring sufficient depth for vessels. This datum typically forms a sloping plane that parallels the river's natural gradient at low flow, derived from long-term gauge data to account for seasonal and annual variations. In the Mississippi River, for example, the Low Water Reference Plane (LWRP) serves as the chart datum, defined as a zero-foot elevation based on hydrologic records from key gauges, with depths referenced along the thalweg—the river's deepest continuous channel—and adjusted for observed stage heights to maintain navigational clearance.^[49]^[50] In lakes, datums are often fixed levels established from historical water level gauges, providing a stable reference for large, tideless bodies. The Low Water Datum (LWD) in the U.S. Great Lakes exemplifies this approach, setting a plane so low that water seldom falls below it, with each lake assigned a specific elevation—for instance, Lake Superior's LWD at 601.1 feet (183.2 meters) above the International Great Lakes Datum of 1985 (IGLD 1985)—to facilitate consistent charting across interconnected systems. As of November 2025, updates to IGLD 2020 are in progress, with heights to be converted from IGLD 1985 values upon full implementation in 2025/2026.^[51]^[52]^[53] Establishing these datums presents challenges, including the need to account for seiches—wind- or pressure-induced oscillations that can temporarily lower lake levels by several feet—and river gradients that require a non-level reference surface. Locks and dams further complicate matters by creating segmented pools with controlled elevations, necessitating datum adjustments at each structure to align with upstream and downstream sections. These references are commonly linked to national geodetic systems, such as the North American Vertical Datum of 1988, for vertical consistency. Sounding reductions in inland waters rely on real-time gauge readings or stage observations rather than tidal predictions, enabling accurate depth portrayal relative to the datum during surveys and charting.^[25]^[54]^[51]

Standards and Variations

International Hydrographic Organization (IHO) Guidelines

The International Hydrographic Organization (IHO) plays a central role in standardizing chart datums globally to ensure safety of navigation and interoperability of hydrographic data among its member states. Through its key publications, the IHO recommends the use of Lowest Astronomical Tide (LAT) or an equivalent lowest tide level as the preferred vertical reference for chart datums in tidal waters, particularly for new hydrographic surveys, to provide a conservative basis that minimizes the risk of uncharted shoals during low water conditions.^[55] This approach aligns with safety priorities by eliminating negative depths in tide tables and facilitating consistent depth soundings across international charts.^[55] In the IHO Standards for Hydrographic Surveys (S-44, Edition 6.2.0), chart datums are specified to reference depths to a suitable vertical datum such as LAT, with requirements for connecting these to land survey datums to support integrated geospatial applications.^[56] For high-priority areas like Order 1 surveys—intended for primary navigation routes—the standards mandate a Total Vertical Uncertainty (TVU) not exceeding √(0.5² + (0.013 × d)²) meters, where d is the depth in meters, ensuring high accuracy for safe navigation (e.g., approximately 0.5 m TVU in shallow water).^[56] The S-4 Regulations for International (INT) Charts further require consistent vertical datums across member states' products, with LAT preferred for new surveys to promote uniformity, while allowing alternatives like Mean Sea Level (MSL) in non-tidal areas where tidal range is less than 0.30 m; all datums must be clearly stated in chart notes.^[55] IHO guidance emphasizes vertical ties between chart datums and land survey datums, often achieved through Global Navigation Satellite Systems (GNSS) to derive ellipsoidal heights relative to a common reference like the GRS80 ellipsoid, enabling seamless integration of marine and terrestrial data such as bathymetry from S-102 surfaces and land elevations from LIDAR.^[57] Documentation of member state practices reveals variations—such as LAT or approximations used by at least nine countries (e.g., Australia, France, UK), Mean Lower Low Water by the United States, and Lowest Low Water Large Tide by Canada—but promotes harmonization toward LAT or equivalents among over 100 member states to reduce discrepancies in global charting.^[58] Since the 2010s, IHO updates have focused on seamless vertical datums within the S-100 framework for electronic navigational charts and services, including S-102 bathymetric data products that require consistent referencing to support dynamic, high-resolution seafloor modeling and integration with other geospatial layers for enhanced electronic navigation.^[59] This evolution builds on earlier guidance like IMO SN.1/Circ.213, which advises on datum accuracy and position referencing to mitigate navigation risks from datum mismatches.^[60]

National and Regional Practices

In the United States, the National Oceanic and Atmospheric Administration (NOAA) has adopted Mean Lower Low Water (MLLW) as the standard chart datum for nautical charts since the National Tidal Datum Convention of 1980, which unified the reference across marine waters to enhance navigation safety.^[12] This datum is computed over a 19-year National Tidal Datum Epoch (NTDE), currently spanning 1983–2001, to capture the full lunar nodal cycle and account for long-term tidal variations.^[2] In regions like Alaska, where anomalous sea level changes due to glacial isostatic adjustment occur, NOAA applies a Modified 5-Year Epoch for approximately 12% of tidal datums, blending shorter-term observations with hybrid geoid models to better reflect local dynamics while maintaining compatibility with the national MLLW framework.^[61] In the United Kingdom, the United Kingdom Hydrographic Office (UKHO) employs Lowest Astronomical Tide (LAT) as the chart datum, approximating the lowest predictable tide level under average meteorological conditions, a practice aligned with International Hydrographic Organization (IHO) recommendations for consistency in European waters.^[18] Across Europe, the French Naval Hydrographic and Oceanographic Service (SHOM) similarly uses LAT for its nautical charts, ensuring safe under-keel clearance in tidal areas.^[62] Integration with the European Vertical Reference System (EVRS), realized through the European Vertical Reference Frame 2000 (EVRF2000), facilitates vertical transformations between tidal chart datums and continental height references, supporting cross-border hydrographic surveys.^[63] Australia's Australian Hydrographic Service (AHS) designates LAT as the primary chart datum for most coastal waters, derived from harmonic analyses over the 18.6-year lunar nodal cycle to predict the lowest astronomical tide level.^[19] This approach ensures conservative depth representations on charts, vital for the nation's extensive tidal range variability. In the Asia-Pacific region, practices diverge to suit local tidal regimes. China, via the Chinese Navy Hydrographic Office, employs the Theoretical Lowest Tide (TLT) as its chart datum, a predicted minimum based on 13 harmonic constituents without meteorological influences, providing a theoretical safety margin over observed lows.^[64] Global challenges in maintaining chart datums include shifts from sea level rise, which can alter tidal harmonics and necessitate periodic recalibrations; for instance, NOAA's ongoing review for an NTDE update to the 2002–2020 period, expected after 2026, incorporates accelerated rise rates, potentially raising datums by several centimeters in vulnerable areas to preserve navigational accuracy.^[65]

Applications

Nautical Charts and Hydrographic Surveys

In hydrographic surveys, sounding reduction involves adjusting measured depths from observed water levels to a consistent chart datum, ensuring all bathymetric data are referenced to the same vertical plane for safe navigation. This process typically subtracts the height of the water surface—determined through tidal observations or real-time measurements—at the time of each sounding from the raw depth value, accounting for factors like vessel squat and wave effects to produce reduced soundings.^[66] The resulting depths represent the vertical distance below the chart datum, such as Lowest Astronomical Tide (LAT), which is commonly adopted for its conservative approach to minimizing underestimation of hazards.^[56] On nautical charts, depths are depicted as soundings in meters or feet below the chart datum, with contours connecting points of equal depth to outline safe navigation areas. Drying heights, which indicate elevations above the datum on features like rocks or shoals that uncover at low water, are shown with underlined numerals to distinguish them from submerged depths; for instance, a value of 2 on a rock signifies it rises 2 meters above the datum, such as Mean Low Water Springs (MLWS) in some regions.^[67] These symbols, standardized in publications like Chart No. 1, enable mariners to assess under-keel clearance by adding predicted tidal heights to the charted depths.^[68] The International Hydrographic Organization (IHO) Standards for Hydrographic Surveys (S-44) mandate that vertical datums be explicitly specified on nautical charts, with survey accuracy tied to bathymetric data quality through Total Vertical Uncertainty (TVU) limits. For example, Special Order surveys require a TVU not exceeding 0.25 meters plus 0.0075 times the depth, ensuring depths are reliable for chart compilation at scales of 1:5,000 or larger.^[56] Metadata accompanying survey data must detail the vertical datum, its epoch, and ties to geodetic references, facilitating consistent chart production across international waters.^[56] Older nautical charts may reference outdated datums, such as MLWS, which can lead to discrepancies in depth interpretations compared to modern standards like LAT, necessitating corrections via Notices to Mariners. These notices provide conversion factors or direct updates to align legacy charts with current hydrographic data, preventing navigational errors in regions with historical surveys.^[69] In Electronic Navigational Charts (ENCs), the attribute VERDAT specifies the vertical datum used for soundings and heights, with values like 23 indicating LAT to ensure interoperability in electronic charting systems.^[70]

Tide Tables and Predictions

Tide tables provide predictions of tidal heights and times for high and low waters, with all elevations expressed relative to the local chart datum to ensure consistency with nautical charts and safe navigation. These tables list the predicted height of high water (HW) and low water (LW) above or below the chart datum, allowing mariners to calculate under-keel clearance by adding the predicted tide height to the charted depth. For instance, if a charted depth is 5 meters at Lowest Astronomical Tide (LAT) and the predicted high tide is +2.5 meters above LAT, the total water depth would be 7.5 meters. This referencing to chart datum is standardized to prevent discrepancies that could lead to grounding risks. Tidal predictions are derived from harmonic analysis, which decomposes observed tide data into constituent components using long-term records from tide gauges. Harmonic constants—amplitudes and phase lags for each tidal constituent—are then reduced to the local chart datum by applying the mean tide level offset from the datum, enabling predictions of future tidal heights relative to that zero reference. Software tools like XTide, an open-source tide prediction program, compute these heights by inputting harmonic constants adjusted to the specific chart datum, outputting results in meters above or below LAT or equivalent datums for global locations. This method relies on least-squares fitting of tidal constituents to historical data, ensuring predictions align with the hydrographic datum used in charting. Annual tide tables are published by national hydrographic offices, including datum specifications and notes on the reference level used. In the United States, the National Oceanic and Atmospheric Administration (NOAA) issues comprehensive tide tables for over 150 primary stations, with Mean Lower Low Water (MLLW) defined as the chart datum and set to zero; predicted HW and LW heights are then given as positive or negative offsets from this zero, such as +1.8 m for HW or -0.2 m for LW. For secondary ports, predictions are interpolated from nearby standard stations using co-tidal charts or transfer curves that account for propagation differences, maintaining ties to the primary datum. Similarly, the United Kingdom Hydrographic Office (UKHO) publishes tables for standard ports with heights relative to Chart Datum (often LAT), including adjustments for secondary ports via height differences and timing corrections derived from empirical transfer data. These publications are updated annually to incorporate refined harmonic constants from ongoing tide gauge observations. Adjustments for secondary stations ensure accuracy across non-standard locations by linking predictions to the primary port's datum through transfer curves, which plot height and time differences as functions of tidal range. These curves are developed from simultaneous observations at both sites and are included in tide table appendices, allowing users to apply corrections manually or via software. For example, in NOAA tables, a secondary station might add a +0.3 m height difference and 15-minute time lag to the standard port's predictions, all referenced to MLLW. This approach maintains the integrity of chart datum throughout the prediction process, supporting reliable tidal planning for coastal operations. The integration of chart datum with Global Navigation Satellite Systems (GNSS) and Electronic Chart Display and Information Systems (ECDIS) enables precise vertical referencing in modern maritime navigation, transforming ellipsoidal heights from GNSS—typically referenced to the GRS 80 ellipsoid underlying WGS 84—into depths relative to local chart datums through dedicated offset models.^[7] These models account for the separation between the ellipsoid and the chart datum surface, which varies due to gravitational effects and sea surface topography. For instance, the UK Hydrographic Office's Vertical Offshore Reference Frame (VORF) provides high-resolution grids that facilitate seamless conversions between ellipsoidal heights and UK chart datums, such as Lowest Astronomical Tide (LAT), across offshore and coastal areas, supporting real-time hydrographic applications without traditional tide gauge dependencies.^[71] Similarly, the French Hydrographic and Oceanographic Service (SHOM) employs the BathyElli model to realize ellipsoidal heights for key datums like Mean Sea Level (MSL) and LAT on French metropolitan charts, using a combination of satellite altimetry, tide gauge data, and hydrodynamic modeling for consistent vertical referencing at a reference epoch of January 1, 2000.^[72] In the United States, NOAA's VDatum tool offers a comprehensive global framework for such transformations, converting between ellipsoidal, orthometric, and tidal datums to ensure interoperability in hydrographic surveys and navigation products.^[73] ECDIS systems, as mandated by International Hydrographic Organization (IHO) standards, require explicit metadata on vertical datums within Electronic Navigational Charts (ENCs) formatted under S-57 and its successor S-101, allowing users to overlay GNSS positions accurately while displaying soundings relative to the chart datum. Real-time tide corrections are integrated via Real-Time Kinematic (RTK) GNSS techniques, where differential corrections from base stations or networks enable centimeter-level vertical positioning; services like Fugro Starfix GNSS Tides further process these signals to compute observed tides dynamically, reducing reliance on predicted values and enhancing under-keel clearance monitoring.^[74] This setup ensures that ECDIS can continuously verify vessel position against charted depths, with datum shifts explicitly handled to prevent navigational errors. Key challenges in this integration arise from geoid undulations—the irregular separation between the ellipsoid and the geoid, which can reach tens of meters globally and introduce vertical discrepancies in chart datum realizations.^[75] Achieving the required accuracy of less than 0.2 meters for safe under-keel clearance demands high-fidelity models that incorporate local gravity anomalies and mean sea surface data, as inconsistencies can lead to over- or underestimation of water depths in dynamic environments.^[76] For example, in satellite-assisted navigation, a mariner obtains the GNSS-derived ellipsoidal height of the sea surface, applies a vertical offset model to convert it to an orthometric height relative to the chart datum, and then adds the real-time or predicted tide height to determine the effective water depth beneath the vessel, ensuring compliance with safety margins in ECDIS displays.

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None
### Summary of Guidance on Vertical Ties Between Chart Datum and Land Survey Datums
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None
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