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International Geomagnetic Reference Field (IGRF)

In October 2019 BGS contributed to the creation of the 13th generation of the International Geomagnetic Reference Field (IGRF). The IGRF is a collaborative model produced by geomagnetists from around the world and endorsed by the International Association of Geomagnetism and Aeronomy (IAGA). The IGRF is a common tool of survey geophysicists and space scientists as a good quality reference model. The IGRF dates back to around 1970 and grew out of discussions that took place within IAGA in the 1960s following the World Magnetic Survey and International Geophysical Year of 1957-1958.

IGRF-13 online calculator

The IGRF is updated every five years, and currently describes the the field from 1900 to 2025. Currently the IGRF is a spherical harmonic degree 13 model, with maximum harmonic degree 8 for the SV component. Prior to 1995 the IGRF only extends to harmonic degree 10, because of the less dense data distribution, mainly ground observatories, that was typical of the pre-Ørsted, CHAMP, and (ongoing) Swarm satellite era. The models up to and including 2015 are now designated as ‘definitive’ models (i.e. known as DGRFs), in that the potential for further improving these is regarded by IAGA as slight.

 

The BGS candidate models for IGRF-13 were evaluated alongside those from fourteen other contributing teams, made up of institutes from nine nations (China, Denmark, France, Germany, Japan, Russia, Spain, UK, USA). In December 2019, the three BGS candidates for the 2015 definitive field, 2020 predicted field and 2020-2025 rate-of-change (secular variation, SV) models were accepted and incorporated into IGRF-13.

 

As well as describing maps of field components, as shown below, models such as the IGRF also provide information about the locations of the magnetic poles and a basis for geomagnetic coordinate systems.

 

Declination from IGRF-13 for 2020.0
Map of predicted annual rate of change of declination from IGRF-13 for 2020.0-2025.0
Inclination from IGRF-13 for 2020.0
Map of predicted annual rate of change of inclination from IGRF-13 for 2020.0-2025.0
Horizontal Intensity from IGRF-13 for 2020.0
Map of predicted annual rate of change of Horizontal Intensity from IGRF-13 for 2020.0-2025.0
Vertical Intensity from IGRF-13 for 2020.0
Map of predicted annual rate of change of Vertical Intensity from IGRF-13 for 2020.0-2025.0
Total Intensity from IGRF-13 for 2020.0
Map of predicted annual rate of change of total intensity from IGRF-13 for 2020.0-2025.0

Uncertainties

The IGRF aims to provide a model of the main field which is accessible to a variety of users. It is meant to give a reasonable approximation, at, near and above the Earth's surface, to that part of the Earth's magnetic field which has its origin inside the surface. However, it clearly cannot capture all internal sources due to small-scale features of the crustal field and will also not capture the non-linear features of secular variation. The estimates of uncertainty were made by comparing the IGRF-13 model values to repeat station and observatory measurements. The global differences (or residuals) are used to compute the mean (which is about zero) and the standard deviation for each magnetic field component. The absolute values of the residuals are then sorted to compute the confidence intervals (CI) i.e. the value at which the proportion of the data is less than a chosen percentage.

In terms of a single nominal, or average, global uncertainty associated with the IGRF models between 1980 and 2020, the standard deviation of the residuals in North (X) component is 144 nT, 136 nT in the East (Y) component and 293 nT in vertical (Z) component. For declination it is 0.39°, in inclination it is 0.29°, and for total field intensity it is 178 nT. More carefully, as the distribution of the residuals is Laplacian, the uncertainties of X, Y and Z can be estimated to be 87, 73 and 114 nT at 68.3% confidence interval. This can be interpreted as meaning that for 68.3% of the measurements you make (on average across the globe), the IGRF is within the estimated uncertainty. Obviously, if you are in a highly anomalous area (like a volcanic island) the uncertainties will be larger. Equally, if you are in a low anomaly region (such as a sedimentary basin) the uncertainties will likely be smaller. The table below shows the uncertainty in each component. See Beggan (2022) for further detail.

Component Standard Deviation 68.3% CI 95.4% CI 99.7% CI
D (°) 0.39 0.18 0.95 2.06
I (°) 0.29 0.12 0.52 2.29
H (nT) 135 82 341 610
X (nT) 144 87 344 526
Y (nT) 136 73 322 575
Z (nT) 293 114 481 2236
F (nT) 178 103 432 839