Cited by 96Calibration and Measurement TechniquesScientific Measurement and Uncertainty EvaluationSatellite Image Processing and Photogrammetry

Applying principles of metrology to historical Earth observations from satellites

Open access
Mittaz, Jonathan, Merchant, Christopher J, Woolliams, Emma R·2019·Metrologia

Abstract

Approaches from metrology can assist earth observation (EO) practitioners to develop quantitative characterisation of uncertainty in EO data. This is necessary for the credibility of statements based on Earth observations in relation to topics of public concern, particularly climate and environmental change. This paper presents the application of metrological uncertainty analysis to historical Earth observations from satellites, and is intended to aid mutual understanding of metrology and EO. The nature of satellite observations is summarised for different EO data processing levels, and key metrological nomenclature and principles for uncertainty characterisation are reviewed. We then address metrological approaches to developing estimates of uncertainty that are traceable from the satellite sensor, through levels of data processing, to products describing the evolution of the geophysical state of the Earth. EO radiances have errors with complex error correlation structures that are significant when performing common higher-level transformations of EO imagery. Principles of measurement-function-centred uncertainty analysis are described that apply sequentially to each EO data processing level. Practical tools for organising and traceably documenting uncertainty analysis are presented. We illustrate these principles and tools with examples including some specific sources of error seen in EO satellite data as well as with an example of the estimation of sea surface temperature from satellite infra-red imagery. This includes a simulation-based estimate for the error distribution of clear-sky infra-red brightness temperature in which calibration uncertainty and digitisation are found to dominate. The propagation of these errors to sea surface temperature is then presented, illustrating the relevance of the approach to derivation of EO-based climate datasets. We conclude with a discussion arguing that there is broad scope and need for improvement in EO practice as a measurement science. EO practitioners and metrologists willing to extend and adapt their disciplinary knowledge to meet this need can make valuable contributions to EO.

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  • Errors in satellite-derived SSTs do not all fall neatly into those arising from random and systematic effects, since errors introduced in the retrieval are locally correlated between pixels.

    “Errors in satellite-derived SSTs do not all fall neatly into those arising from random and systematic effects, since errors introduced in the retrieval are locally correlated between pixels40.”

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References 49 · Cited by 96

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  1. Allan D 1966 Statistics of atomic frequency standards Proc. IEEE 54 221-30 · DOI · Paper page
  2. Berger M, Moreno J, Johannessen J A, Levelt P F and Hanssen R F 2012 ESA's sentinel missions in support of Earth system science Remote Sens. Environ. 120 84-90 · DOI
  3. Bicknell W E 2000 HgCdTe detector responsivity and GOES instrument calibration Project Report NOAA-3(R-1) (Cambridge, MA: Lincoln Laboratory, Massachusetts Institute of Technology)
  4. Bodeker G E et al 2016 Reference upper-air observations for climate: from concept to reality Bull. Am. Meteorol. Soc. 97 123-35 · DOI
  5. Bulgin C E, Embury O and Merchant C J 2016 Sampling uncertainty in gridded sea surface temperature products and advanced very high resolution radiometer (AVHRR) global area coverage (GAC) data Remote Sens. Environ. 117 287-94 · DOI · Paper page
  6. Clery D 2014 Europe's copernicus offers a daily dose of Earth data Science 343 1071 Comité international des poids et mesures 1999 Mutual Recognition of National Measurement Standards and of Calibration and Measurement Certificates Issued by National Metrology Institutes (Paris) (www.bipm.org) (14 October 1999) (Sevres, Paris) · DOI
  7. Compo G P et al 2011 The twentieth century reanalysis project Q. J. R. Meteorol. 137 1-28 · DOI · Paper page
  8. Curry J A et al 2004 SEAFLUX Bull. Am. Meteorol. Soc. 85 409-24 · DOI
  9. Dee D P et al 2011 The ERA-Interim reanalysis: configuration and performance of the data assimilation system Q. J. R. Meteorol. Soc. 137 553-97 · DOI · Paper page
  10. Ding S, Yang P, Weng F, Liu Q, Han Y, Van Delst P, Li J and Baum B 2011 Validation of the community radiative transfer model J. Quant. Spectrosc. Radiat. Transfer 112 1050-64 · DOI
  11. Embury O, Merchant C and Filipiak M 2008 Refractive Indices (500-3500-) and Emissivity (600-3350 cm -1 ) of Pure Water and Seawater [Dataset] (https://doi.org/10.7488/ds/162) · DOI
  12. Fox N, Kaiser-Weiss A, Schmutz W, Thome K, Young D, Wielicki B, Winkler R and Woolliams E 2011 Accurate radiometry from space: an essential tool for climate studies Phil. Trans. R. Soc. A 369 4028-63 · DOI
  13. Friis-Christensen E, Luhr H and Hulot G 2006 SWARM: A constellation to study the Earth's magnetic field Earth Planets Space 58 351-8 · DOI
  14. Giering R, Quast R, Mittaz J, Hunt S, Harris P, Woolliams E and Merchant C J 2019 A novel framework to harmonise satellite data series for climate applications Remote Sens. 11 1002 Global Climate Observing System 2010 Implementation Plan for the Global Observing System for Climate in Support of the UNFCCC (2010 Update), GCOS-138 WMO-TD/No. 1523 (Geneva: WMO) Global Climate Observing System 2016 Implementation Needs GCOS-200 (GOOS-214) WMO-TD 2016 (Geneva: WMO) · DOI · Paper page
  15. Gorroño J, Fomferra N, Peters M, Gascon F, Underwood C J, Fox N P, Kirches G and Brockmann C 2017 A radiometric uncertainty tool for the sentinel 2 mission Remote Sens. 9 178 GUM 2008 JCGM 100:2008 Guide to the expression of Uncertainty in Measurement (JCGM) p 100 (www.bipm.org) (Sevres, Paris: BIPM) GUM-102 2011 JCGM 102:2011, Evaluation of Measurement data-Supplement 2 to the 'Guide to the Expression of Uncertainty in Measurements'-Extension to any Number of Output Quantities (www.bipm.org) (Sevres, Paris: BIPM) · DOI
  16. Hersbach H, Peubey C, Simmons A, Berrisford P, Polia P and Dee D 2015 ERA-20CM: a twentieth-century atmospheric model ensemble Q. J. R. Meteorol. Soc. 141 2350-75 · DOI
  17. Hewison T J 2013 An evaluation of the uncertainty of the GSICS SEVIRI-IASI inter-calibration products IEEE Trans. Geosci. Remote Sens. 51 1171-81 · DOI
  18. Hollmann R et al 2013 The ESA climate change initiative: satellite data records for essential climate variables Bull. Am. Meteorol. Soc. 94 1541-52 · DOI
  19. Immler F J, Dykema J, Gardiner T, Whiteman D N, Thorne P and Vomel H 2010 Reference quality upper-air measurements: guidance for developing GRUAN data products Atmos. Meas. Tech. 3 1217-31 · DOI
  20. Merchant C J and Le Borgne P 2004 Retrieval of sea surface temperature from space, based on modeling of infrared radiative transfer: capabilities and limitations J. Atmos. Ocean. Technol. 21 1734-46 · DOI
  21. Merchant C J, Horrocks L A, Eyre J R and O'Carroll A G 2006 Retrievals of sea surface temperature from infrared imagery: origin and form of systematic errors Q. J. R. Meteorol. Soc. 132 1205-23 · DOI · Paper page
  22. Merchant C J et al 2008 Optimal estimation of sea surface temperature from split-window observations Remote Sens. Environ. 112 2469-84 · DOI
  23. Merchant C J, Harris A R, Roquet H and Le Borgne P 2009 Retrieval characteristics of non-linear sea surface temperature from the Advanced Very High Resolution Radiometer Geophys. Res. Lett. 36 · DOI · Paper page
  24. L17604 Merchant C J et al 2012 A 20 year independent record of sea surface temperature for climate from along-track scanning radiometers J. Geophys. Res. 117 C12013 · DOI
  25. Merchant C J 2013 Thermal remote sensing of sea surface temperature Thermal Infrared Remote Sensing: Sensors, Methods, Applications. Remote Sensing and Digital Image Processing vol 17, ed C Kuenzer and S Dech (Amsterdam: Springer) pp 287-313
  26. Merchant C J et al 2017 Uncertainty information in climate data records from Earth observation Earth Syst. Sci. Data 9 511-27 · DOI · Paper page
  27. Müller R 2014 Calibration and verification of remote sensing instruments and observations Remote Sens. 6 5692-5 · DOI
  28. Mittaz J P D, Harris A R and Sullivan J T 2009 A physical method for the calibration of the AVHRR/3 thermal IR channels 1: the pre-launch calibration data J. Atmos. Ocean. Technol. 26 996-1019 · DOI
  29. Mittaz J and Harris R 2011 A physical method for the calibration of the AVHRR/3 thermal IR channels. Part II: an in-orbit comparison of the AVHRR longwave thermal IR channels on board MetOp-A with IASI J. Atmos. Ocea. Technol. 28 1072-87 · DOI
  30. Nalli N R, Minnett P J and van Delst P 2008 Emissivity and reflection model for calculating unpolarized isotropic water surface-leaving radiance in the infrared. I: Theoretical development and calculations Appl. Opt. 47 3701-21 · DOI
  31. Noh Y, Sohn B, Kim Y, Joo S and William B 2016 Evaluation of temperature and humidity profiles of unified model and ECMWF analyses using GRUAN radiosonde observations Atmosphere 7 94 · DOI
  32. Parkinson C L 2014 Global sea ice coverage from satellite data: annual cycle and 35-Yr trends J. Clim. 27 9377-82 · DOI
  33. Pail R et al 2011 First GOCE gravity field models derived by three different approaches J. Geod. 85 819-43 · DOI · Paper page
  34. Reynolds R W, Rayner N A, Smith T M, Stokes D C and Wang W 2002 An improved in situ and satellite SST analysis for climate J. Clim. 15 1609-25 · DOI
  35. Rogers C D 2000 Inverse Methods for Atmospheric Sounding (Singapore: World Scientific Publishing) (https://doi. org/10.1142/3171) · DOI · Paper page
  36. Saunders R W, Matricardi M and Brunel P 1999 An improved fast radiative transfer model for assimilation of satellite radiance observations Q. J. R. Meteorol. Soc. 125 1407-25 · DOI
  37. Smith W H F and Sandwell D T 1997 Global sea floor topography from satellite altimetry and ship depth soundings Science 277 1956-62 · DOI · Paper page

Authors
Mittaz, J., Merchant, C. J., & Woolliams, E. R.
Affiliations
  • National Physical Laboratory (GB)
  • University of Reading (GB)
Corresponding author
Mittaz, Jonathan
Venue
Metrologia
Published
2019-05-21
Volume
56
Issue
3
Pages
032002
ISSN
  • 0026-1394 (ISSN-L)
  • 1681-7575
OpenAlex
W2937259129
Cited by
96
References
49
Citations by year
2026: 14 · 2025: 16 · 2024: 11 · 2023: 11 · 2022: 11 · 2021: 12 · 2020: 10 · 2019: 11
FWCI
8.09
Type
journal article
Language
en
Open access
Locations
  • Metrologia (publishedVersion, cc-by)
  • CentAUR (University of Reading) (submittedVersion)
Funders
  • Euramet European Metrology Research Programme (ENV55 532)
  • Horizon 2020 Framework Programme (638822)
Topics
  • Physical Sciences › Engineering › Aerospace Engineering › Calibration and Measurement Techniques
  • Social Sciences › Decision Sciences › Statistics, Probability and Uncertainty › Scientific Measurement and Uncertainty Evaluation
  • Physical Sciences › Engineering › Ocean Engineering › Satellite Image Processing and Photogrammetry
Keywords
metrology, uncertainty characterization, satellite Earth observation, measurement uncertainty, traceability, measurement function, error propagation, calibration uncertainty, sea surface temperature, infrared brightness temperature, error correlation

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