Journal topic
Ocean Sci., 15, 1601–1614, 2019
https://doi.org/10.5194/os-15-1601-2019
Ocean Sci., 15, 1601–1614, 2019
https://doi.org/10.5194/os-15-1601-2019

Research article 04 Dec 2019

Research article | 04 Dec 2019

# The CORA 5.2 dataset for global in situ temperature and salinity measurements: data description and validation

The CORA 5.2 dataset for global in situ temperature and salinity measurements: data description and validation
Tanguy Szekely1, Jérôme Gourrion1, Sylvie Pouliquen2, and Gilles Reverdin3 Tanguy Szekely et al.
• 1Societe Coopérative OceanScope, 115 rue Claude Chape, 29290, Plouzané, Brest, France
• 2IFREMER, BP 70, Plouzané, 29280, France
• 3Sorbonne-Université, CNRS/IRD/MNHN (LOCEAN), Paris, France

Correspondence: Tanguy Szekely (tanguy.szekely@ocean-scope.com)

Abstract

We present the Copernicus in situ ocean dataset of temperature and salinity (version 5.2). Ocean subsurface sampling varied widely from 1950 to 2017 as a result of changes in instrument technology and the development of in situ observational networks (in particular, tropical moorings for the Argo program). Thus, global ocean temperature data coverage on an annual basis grew from 10 % in 1950 (30 % for the North Atlantic basin) to 25 % in 2000 (60 % for the North Atlantic basin) and reached a plateau exceeding 80 % (95 % for the North Atlantic Ocean) after the deployment of the Argo program. The average depth reached by the profiles also increased from 1950 to 2017. The validation framework is presented, and an objective analysis-based method is developed to assess the quality of the dataset validation process. Objective analyses (OAs) of the ocean variability are calculated without taking into account the data quality flags (raw dataset OA), with the near-real-time quality flags (NRT dataset OA), and with the delayed-time-mode quality flags (CORA dataset OA). The comparison of the objective analysis variability shows that the near-real-time dataset managed to detect and to flag most of the large measurement errors, reducing the analysis error bar compared to the raw dataset error bar. It also shows that the ocean variability of the delayed-time-mode validated dataset is almost exempt from random-error-induced variability.

1 Introduction

Estimating the temperature and salinity ocean state is critical for documenting the evolution of the ocean and its role in the present climate. To do so, the scientific community relies on in situ measurements at a global scale and from global datasets.

Among the global datasets, one can cite the World Ocean Database (Boyer et al., 2013; hereafter WOD) and the EN4 database (Good et al., 2013; http://www.metoffice.org/, last access: May 2018) distributed by the UK Meteorological Office. Here, we present CORA (Coriolis Ocean dataset for ReAnalysis), a dataset distributed by the Copernicus Marine Environment Monitoring Service (hereafter CMEMS) and produced by Coriolis. CORA differs from these earlier datasets in terms of choices in the construction and the production of the dataset. Indeed, WOD is validated with the highest quality control methods at 102 vertical levels, whereas the EN4 profiles are limited to a maximum of 400 vertical levels and are automatically validated (Ingleby and Huddleston, 2007). CORA conversely retains data at the highest vertical resolution. The choice of reducing the number of levels in the data validation and in the dataset construction helps to quickly cluster new measurements in the dataset and provides easy-to-handle datasets. On the other hand, these methodologies result in a loss of measurements potentially available for the scientific community through the vertical sampling of the profiles or in the data validation. In the construction of CORA, all the measurements available are kept, and then an automatic validation is first performed, followed by a manual and/or individual check (Gaillard et al., 2009; Cabanes et al., 2013). This validation framework requires the production of two datasets: a near-real-time validated dataset distributing the profiles within days after collection and a delayed-time validated dataset covering in year n the historical period up to year n−1. This choice, made in the early versions of CORA, has been retained in the latest one that we describe here.

A global ocean heat content (GOHC) increase has been observed on decadal timescales, whether it is in the upper layers of the ocean (Domingues et al., 2008; Ishii and Kimoto, 2009; Levitus et al., 2009), below the thermocline (Von Schuckmann and Le Traon, 2011), or in the abyss (Purkey and Johnson, 2010). In addition to the influence of the mapping method and the baseline climatology (Abraham et al., 2013; Cheng and Zhu, 2015; Boyer et al., 2016; Gouretski, 2018), the data validation performed on in situ measurements has a direct influence on the estimation of global ocean indicators such as GOHC, global freshwater content, and sea level height (Abraham et al., 2013; Gouretski, 2018). As an example, differences in the GOHC estimation in the Johnson et al. (2012) analysis compared to the Lyman et al. (2010) analysis have been shown to result from quality control issues. The particular case of expendable bathythermograph (XBT) measurement (Levitus et al., 2009; Cheng et al., 2016) influence on the GOHC estimation is well documented. Systematic errors in other instrument types may also introduce systematic biases, leading to biases in the GOHC estimation (Lyman et al., 2006; Willis et al., 2007). The validation of a quality control method is thus a critical task to ensure that the dataset flags are accurate enough to flag erroneous measurements without biasing the dataset. The uncertainty surrounding the quality assessment of a large oceanographic dataset being a critical topic in ocean climate studies, we propose here a method of global dataset quality assessment and apply it to near-real-time validated and delayed-time-mode validated datasets.

We will first list the data sources of the CORA measurements in Sect. 2. A description of the CORA data space and time repartition will be reported on Sect. 3. Then, the quality control procedure will be described in Sect. 4. Lastly, gridded temperature and salinity fields are calculated using an objective mapping that is presented in Sect. 5. The results of the dataset validation and quality assessment are finally discussed in Sect. 6.

2 Data providers

The CORA 5.2 dataset is an incremental version of the previous CORA datasets, covering the period 1950 to the present and distributed by CMEMS. Most of the CORA profiles are first collected by the Coriolis data center and validated in near-real-time mode. Coriolis is a Global Data Assembly Center (DAC) for the Argo program (Roemmich et al., 2009). It collects Argo profiles from the regional Data Assembly Centers (DACs) and distributes them to the community. Coriolis also collects XBT, CTD (conductivity, temperature, depth), and XCTD measurements from French and European research programs as well as from the Global Telecommunication System (GTS), Voluntary Ship System (VOS), and subtropical mooring networks (TAO/TRITON/RAMA/PIRATA programs from the Pacific Marine Environmental Laboratory – PMEL). A major effort has also been made to include smaller datasets in the Coriolis dataset that are available in delayed-time mode, such as ice-tethered profiler (ITP) and CTD profiles from the ICES program, sea mammal measurements from MEOP (http://www.meop.net, last access: May 2018), and validated surface drifter data. Delayed-time-mode measurements have also been downloaded from the Word Ocean Database (WOD13) and the French Service Hydrographique de la Marine (SHOM). It should be noted that in the case of a profile distributed by Coriolis in real-time mode and by one of these datasets in delayed-time mode, the delayed-time-mode validated profile replaces the real-time-mode profile in the CORA database.

Last, recent comparisons of the CORA profile positions with the EN4 dataset (https://www.metoffice.gov.uk/, last access: May 2018) have shown that some of the profiles distributed in EN4 were not in the CORA previous versions. A partnership with the EN4 teams allowed us to detect and to import most of those profiles. A total of 5 069 864 profiles have been imported in this way, covering the period 1950–2015. However, contrary to the other measurements, the profiles from the EN4 database are not reported with a pressure measurement, but instead with depth and with a maximum number of reported levels in an individual profile set to 400. The issue of the inhomogeneity in the dataset with respect to the vertical sampling will be discussed.

3 Dataset description

CORA aims to provide a comprehensive dataset of in situ temperature and salinity measurements from 1950 to 2017. The oceanic temperature and salinity measuring instruments have, however, radically changed during the last 70 years. As a result, the origin and characteristics of data distributed in the CORA dataset widely vary in time (Fig. 1). Most of the profiles collected prior to 1965 are mechanical bathythermograph (MBT) measurements or Nansen casts. From the late 1960s to 1990, the most common profiles are from the expendable bathythermographs (XBTs) developed during the 1960s and widely used by navies. Most of the XBT profiles collected during this period are T-4 type sensors, measuring temperature above 460 m of depth.

Figure 1Yearly number of distributed profiles sorted by instrument type.

The development of the Sippican T-7 instrument with a maximum depth of 1000 m slowly increased the number of measurements between 460 and 1000 m during the 1980s (see Fig. 2 for the dataset measurement distribution with depth). An instrument capable of measuring conductivity, temperature, and pressure (CTD) was developed in the 1960s, allowing for an accurate estimation of sea salinity and temperature. The yearly number of CTD profiles in the CORA dataset then slightly increased, reaching a plateau of about 20 000 profiles in the early 1990s.

Figure 2Yearly number of measurements as a function of depth.

During this period, the largest density of profiles is found in the North Atlantic Ocean, with a coverage ratio, calculated on a 3 per 3 grid with a 1-year time step, increasing from 30 % in 1950 to a plateau of 60 %–70 % in the 1970s (Fig. 3). The North Pacific mean sampling rate is lower than 10 % before 1965, with the largest portion of the collected profiles located close to the Japanese and North American coasts and along a transect connecting the US west coast to the Hawaiian archipelago (not presented). It quickly increases from 1965 to 1970 to reach about 50 % in the early 1980s with a more homogeneous spatial resolution. Before 1974 in the other ocean basins, most of the collected profiles are found in the coastal zone and along a few ship tracks. The coverage then slightly increases in the western part of the Indian Ocean and in the eastern part of the South Pacific Ocean, increasing the associated basin sampling rate from 10 % in 1965 to 20 %–25 % in 1990. The Austral Ocean sampling rate remains, however, around 5 % during the whole period.

Figure 3Yearly filling ratio of the 3 latitude per 3 longitude gridded field of ocean basins.

During the 1990s, the yearly number of XBT profiles strongly decreased, while the number of bottles and CTD profiles slightly increased. The counterintuitive behavior is mostly caused by a lack of XBTs in the Coriolis database during the 1990s. The yearly number of XBTs should indeed decrease slowly during the 1990s and reach the CORA level by the end of the decade. This problem should, however, be fixed in the next version of CORA. The measurements provided are, however, deeper than in the previous decade, leading to better coverage below 500 m of depth (Fig. 2). The profile number then exponentially increases since the development of the TAO/RAMA/PIRATA equatorial mooring program throughout the 1990s. During this time, the North Atlantic and the North Pacific Ocean spatial sampling rates decrease, and the global ocean sampling rates reach a plateau at 20 %. The ocean sampling rate rapidly increases in the early 2000s thanks to the development of autonomous profilers and the worldwide Argo program.

The global ocean sampling rate reaches 70 % before the mid-2000s with a maximum of 85 % in the northern Atlantic Ocean. Notice the simultaneous growth of the autonomous profiler measurements (Fig. 1) and the increasing number of measurements below 1000 m of depth in Fig. 2. In the Austral Ocean, the sampling is sharply increased from 8 to 40 % in 2005–2006 and then grows slowly up to 50 % in 2017. This increase in the Austral Ocean coverage is a combined consequence of Argo deployments, mostly north of 55 S, and the collection from CTD casts mounted on sea mammals, in particular between Kerguelen Island and the Antarctic continent (Roquet et al., 2011).

It must be emphasized that a fraction of the profile number increase in the early 2000s results from data acquisition from high-frequency measurement devices such as ocean drifters, thermosalinographs (TSGs, both near the ocean surface), or undulating CTDs either towed or untowed (ScanFish, SeaSoar, gliders, etc.). Indeed, each undulating CTD profile and each independent TSG or drifter measurement is treated as an independent profile, while one could also cluster them by instrument or by cruise. The dataset structure we retained is, however, easier to handle by the ocean reanalysis community and leads to a more homogeneous dataset file structure. This dataset structure is also adopted for the mooring measurements, which in some cases also collect data at high frequency. This large number of mooring data induces a large increase in measurements such as at 250 and 500 m depths, whereas at the surface, the large increase is due to data from TSGs and drifting buoys.

4 Data quality control

The measurements collected by the Coriolis data center are distributed to the scientific community with a near-real-time quality control flag within days of the data reception and with a delayed-time-mode validation quality control within a year. The Coriolis data center validation workflow scheme is given in Fig. 4.

Figure 4Coriolis database validation process.

The quality control flags applied on the CORA dataset are associated with a measured or a calculated variable (TEMP_QC, PSAL_QC, DEPTH_QC, PRES_QC), with on the date and position variable (POSITION_QC and JULD_QC), and with the corresponding adjusted variables when they exist. The QC flag values applied during the quality control process vary from 1 to 4, with 1: good data, 2: probably good data, 3: probably bad data, and 4: bad data.

Numerous measurements distributed by Coriolis have, however, been validated by scientific teams prior to integration into the Coriolis streamflow. The most important of these datasets are the delayed-time-mode validated Argo profiles, the tropical mooring dataset distributed by PMEL, the sea mammal measurements validated by the MEOP project, and the TSG measurements validated by the GO-SUD project. In such cases, the current practice at Coriolis is to retain the flags from the imported database and to run the delayed-time-mode tests afterwards.

## 4.1 Near-real-time validation

The near-real-time dataset validation tests are mostly taken from the Argo real-time quality control tests (Wong et al., 2009). The goal is to distinguish the spurious measurements from the good measurements and to flag them quickly. The test checks are designed to detect well-known types of errors. A global range test and a regional range test are performed to detect obvious errors with respect to known ocean variability. The bounds of those two tests are very large with respect to the known ocean variability to ensure that no bad flag is incorrectly attributed. A spike test and a gradient test are performed to detect measurement spikes in the temperature and salinity fields. The test is based on the comparison of the temperature and salinity vertical gradient to a threshold. The test thresholds are set large enough to lower the number of incorrect spike detections corresponding to a sharp, yet correct, thermocline or halocline. The stuck value test aims to detect temperature or salinity profiles with a constant value within the vertical reported inaccurately.

A second step in the near-real-time quality control is performed daily on the Argo profilers distributed by Coriolis using an objective mapping detection method (Gaillard et al., 2009). Following the framework developed by Bretherton et al. (1976), the residual of the objective analysis depends on the covariance from data point to data point. Thus, this second check step aims to detect measurements departing from other data in the vicinity. The correlation scale in the objective analysis varies with depth and latitude. Spurious detections can, however, occur when profiles located on both sides of a frontal zone are within a correlation radius. Therefore, detected profiles are visually checked by a primary investigator (hereafter PI) to distinguish erroneous measurements from correct measurements.

Lastly, a quality control based on altimetry comparisons is also performed on a quarterly basis to improve the real-time validated dataset (Guinehut et al., 2009). A PI inspection is also performed on profiles flagged as suspicious by comparison with altimetric sea level.

## 4.2 Delayed-time-mode validation tests

The delayed-time-mode validation is performed on a yearly basis. This validation framework is based on tests more stringent than the near-real-time validation process, which requires a systematic visual control by an oceanographer. The controlled profiles are those that have not been controlled in the previous version of CORA. Therefore, most of the controlled profiles for a given version of CORA are the profiles measured during the previous year but not controlled for the earlier version. The profiles for which the measurements have been updated or adjusted since the latest version are, however, controlled. Last, some datasets covering the historical period may have been incorporated in the Coriolis dataset, which are then controlled in delayed-time mode in CORA.

The delayed-time mode validation process is schematized in Fig. 4. The profiles to be validated are first checked by the CORA tests. The checks raise an alert flag on suspicious profiles, which are then visually checked. For CORA, the validation checks are applied until all the tests are successful. If a single-check test fails, the profile is put aside for visual check and the following tests are not applied. The profiles undetected by the CORA tests, and thus not visually controlled, are assessed by a second set of tests developed by the CLS company. The suspicious profiles are also visually controlled and manually flagged. Last, all the tested measurements are gathered in the CORA database with the updated flags.

A first quality check aims to complement the real-time QC procedure with redundant tests that have a sharper threshold than NRT.

### 4.2.1 Data file consistency test

This test checks the obviously out-of-range position ($|\mathrm{Lat}|>\mathrm{90}$ and $|\mathrm{Lon}|>\mathrm{180}$ and out-of-range immersion (PRES > 12 000 dbar and DEPTH > 12 000 m or PRES < −2.5 dbar and DEPTH < −2.5 m). The tests are redundant with the NRT checks and are designed to avoid any writing error in the CORA file. The few detections are visually checked.

### 4.2.2 Depth check, stability check, vertical check

The depth check, stability check, and vertical check were initially developed by the UK Met Office for the EN4 dataset validation. They were added to the CORA validation framework after a collaborative comparison of the two dataset validation methods with the UK Met Office team. This study has shown that most of the profiles flagged in EN4 and not in CORA were detected by these three tests and that applying a visual control to the profiles detected in this way results in more accurate flags. The tests have been described in Ingleby and Huddleston (2007). The stability test detects density inversions for profiles wherein both temperature and salinity are available. The density inversions with $\mathrm{0}>d/\mathit{\rho }>-\mathrm{0.03}$ kg m−3 are dismissed. Both temperature and salinity are visualized for profiles with larger density inversion. Experience has shown, however, that most of the density inversions detected in this way are caused by small spikes in the salinity measurements, probably a consequence of anomalies in the conductivity measurement or alignment with temperature when estimating salinity. The spike test is designed to detect the temperature and salinity spikes and steps. It runs with a threshold of temperature and salinity variability varying from 5 C at the surface to 1.5 C below 600 m of depth for temperature and from 1 PSU at the surface and 0.2 PSU below 300 m of depth for salinity. These tests differ from the real-time QC test since the trigger points are lower. They, however, sometimes create “false positive” detection either by detecting the wrong point on a spurious profile or by detecting a correct measurement. A systematic PI visual flag selection is then performed on each of the detected profiles.

### 4.2.3 Level disorder and duplicated levels

The profiles with a non-monotonous PRES or DEPTH vector are detected, and the PRES or DEPTH vector is flagged in order to be monotonous. This test has been requested by CORA end users, the oceanographic reanalysis community, to have a user-friendly dataset to work with. Most of the detected profiles are indeed measurements with a very slow sinking speed near the surface, giving pressure vector inversion when exposed to the sea surface swell. Most of the detections are thus confined to the surface layer. Exceptions may, however, occur in the case of Black Sea Argo floats for which a recurrent problem of slow sinking speed is found at the subsurface due to the low salinity level of the Black Sea. Last, “hedgehog” type profiles, with very spiky temperature, salinity, and pressure vectors, which are often caused by transmission mistakes on Argo floats, are detected by this test.

### 4.2.4 Global range

The global range test aims to detect obvious measurement mistakes. Temperature measurements under −3C or over 43 C and salinity measurements under 0 PSU or over 46 PSU are detected. This test has a very low detection rate, but it still detects some erroneous profiles each year. Most of them are profiles with a nonclassical shape so that they avoid detection by redundant tests (min–max test or climatological test). A recent example was an Argo float grounded near Mogadishu, Somalia, measuring a temperature exceeding 43 C, whereas the corresponding pressure was just above 0 dbar so that the measurement avoided the other NRT and delayed-time-mode tests confined to depths between 0 and 2000 m.

The following step of the CORA data validation is performed in the Coriolis data center to detect profiles diverging from the known ocean variability. Each temperature and salinity profile is compared with the minimum and maximum measured value reference profiles. Those profiles originate from reference fields on a gridded mesh with 1 resolution horizontal hexagonal cells of 20 m thickness. The reference fields are the maximum and minimum measured values on a set of 1.2 million Argo profiles, vertically interpolated from the surface to 2000 m of depth. The field coverage is increased, especially in the inner seas and in the Austral Ocean, which are badly covered by the Argo network, by CTDs from the World Ocean Database, and sea mammal measurements from the MEOP database. The CORA 5.2 measurements are compared to the minimum and maximum reference values of the corresponding cell and the upper and lower adjacent cells in the same grid column. The profiles containing measurements exceeding the reference values are checked by an oceanographer. The min–max method is relaxed on the continental shelf since the min–max sampling is insufficient in the continental shelf zones. The temperature and salinity profiles measured over a bathymetry inferior to 1800 m are compared to a climatology field (ARIVO; Gaillard et al., 2008) to which 10 times the climatological standard deviation field is added or subtracted. This criterion has been added since the minimum and maximum reference field is mostly based on the ARGO measurements and is ill defined in the ocean regions the Argo floats struggle to reach. Due to the lack of accuracy of the global climatologies near the coasts and on some shelves, the profiles lying above the 250 m isobath are not tested with this method. See Gourrion et al. (2019) for further discussion on the min–max field.

A third validation is performed with the In Situ Analysis System (ISAS) objective analysis tool, following the method developed by Gaillard et al. (2009). During the objective analysis process, the profile analysis residual is compared to the analysis residual of neighboring profiles. This validation test is similar to the validation performed by the Coriolis data center in near real time with the Argo floats. The scope of the test is, however, extended to other profiles (XBT, CTD, etc.) and to Argo profiles that have been updated in the Coriolis database too late to be part of the near-real-time validation.

A last set of delayed-mode validation tests has been developed by the CLS research and development team and aims to complement the validation tests. These tests provide sharper expertise on bias detection, spike detection, and ocean variability in the continental shelf zones. These tests also aim to complement the Coriolis real-time quality check tests for measurements directly included in the delayed-mode dataset. The CLS tests are divided into two categories. A density check test is applied to detect small density inversions in the measurement. This test differs from the Coriolis density inversion test since it focuses on single-point spikes on density profiles, instead of checking spikes or steps on temperature and salinity profiles, with a simple yet reliable algorithm. This test is reliable, so the detected suspicious levels are automatically flagged. A second set of tests is applied to detect smaller errors. These tests aim to detect unlikely extremes in temperature and salinity by comparing measurements to regional upper and lower bounds and World Ocean Atlas 2013 climatology. Tests are also applied on vertical density inversions, spikes, and offsets with respect to the climatology. By the end of the validation process, about 10 % of the applied flags are based on CLS detection and 90 % are based on Coriolis detections.

5 CORA 5.2 quality control results

The relevance of ocean climate studies strongly depends on the accuracy of ocean measurements. Systematic data errors might thus result in biasing the estimation of ocean-state indicators such as the GOHC, the global ocean freshwater content, or the global mean steric height (Levitus et al., 2009). Furthermore, random measurement and data error may lead to overestimations of the ocean variability. Therefore, indirectly, one can assess the reliability of the global dataset by estimating the influence of the quality control on global metrics such as the ocean mean temperature and salinity and the associated variability.

Two mappings of ocean temperature and salinity based on the CORA dataset measurements are calculated: a raw estimation (GOHCraw) that considers every measurement without taking the data quality flags and a flagged estimation (GOHCflg) that only considers the good and probably good QCs.

Interpolated fields are calculated following the method presented by Forget and Wunch (2006) that has the advantage of not biasing mean fields and not relying on specifying them. The global ocean is divided in 1 per 1 grid cells with 10 m vertical layers from the surface to 1500 m of depth. A first estimation of the mean parameter for a given month is given by calculating the mean of the temperature or the salinity data measured in a given cell. The variance field is estimated by taking the variance of the measurements located in a given cell if the number of available measurements is greater than 4.

A spatial weighting function is defined:

$\begin{array}{}\text{(1)}& G\left(i,j\right)=\phantom{\rule{0.125em}{0ex}}{e}^{-\frac{\left({l}_{\mathrm{p}-}-l\left(i,j\right){\right)}^{\mathrm{2}}}{{r}_{\mathrm{l}}^{\mathrm{2}}}-\frac{\left({L}_{\mathrm{p}-}-L\left(i,j\right){\right)}^{\mathrm{2}}}{{r}_{\mathrm{L}}^{\mathrm{2}}}},\end{array}$

with rl and rL the latitude and longitude decorrelation scales, both taken as equal to 5 at any point in the ocean, and lp and LP the latitude and longitude of a grid point.

The combined mean is then

$\begin{array}{}\text{(2)}& \stackrel{\mathrm{‾}}{T}\left(i,j\right)=\sum _{p}\frac{{G}_{\mathrm{p}}\left(i,j\right)\stackrel{\mathrm{‾}}{{T}_{\mathrm{P}}}{n}_{\mathrm{P}}}{N\left(i,j\right)},\end{array}$

with

$\begin{array}{}\text{(3)}& N\left(i,j\right)=\sum _{P}{G}_{\mathrm{P}}\left(i,j\right){n}_{\mathrm{P}}.\end{array}$

The combined variance is estimated with a similar operator:

$\begin{array}{}\text{(4)}& \mathrm{var}\left(T\right)\left(i,j\right)=\phantom{\rule{0.125em}{0ex}}\sum _{p}\frac{{G}_{\mathrm{p}}\left(i,j\right)\mathrm{var}\left({T}_{\mathrm{P}}\right){n}_{\mathrm{P}}}{N\left(i,j\right)},\end{array}$

with nP the number of measurements available in the summed grid point, Tp− the mean temperature at the grid point, and N(i,j) the total number of measurements involved in the calculation of a grid point value.

The values of rl and rL are set to 5 longitude and latitude in order to include enough grid points with data in this averaging. To reduce the calculation time of the analysis, each N(i,j) calculation is performed on a 20 per 20 grid point window.

The objective analysis is performed in three steps for the global dataset. A first analysis is performed on a raw dataset, considering all available profile measurements. All the QC flags are considered good. A second analysis is performed on the same data profiles considering the QC available in NRT mode. A third one is performed on the same profiles considering the QC available in delayed-time mode.

The ocean data coverage is sometimes insufficient to perform the monthly objective analysis on the whole ocean.

Figure 5Coverage of the temperature (dashed line) and salinity (solid line) objective analysis.

As a result, we have limited this study to the latitude between 60 N and 60 S since the ocean data coverage is too sparse out of these limits, leading to random anomalies in the temperature and salinity variability. Figure 5 shows an estimation of the ocean layer covered by the objective analysis as a percentage of the ocean layer surface between 60 N and 60 S. It shows that the ocean coverage is higher for temperature than for salinity objective analysis. The upper layer coverage is very close. It varies from 95 % in 2005 to over 98 % after 2012. The 1475–1525 m depth layer departs from the others since it has a global coverage lower than the others, starting from 65 % in January 2005. It converges to over 98 % after 2014. A monthly variability is observed in the Argo development period (2005–2010). It is probably caused by the slow arrival of Argo profilers in the southern zones. This behavior lasts until 2012 in the deeper layer.

Figure 6Percentage of good flags (flags 1 and 2) in the analyzed layers for the NRT dataset (solid line) and for the CORA dataset (dashed line): (a) temperature, (b) salinity.

Figure 7Mean salinity standard deviation in the 0–50 m layer (a), 75–125 m depth layer (b), and 275–325 m depth layer (c). The raw dataset (red), NRT dataset (blue), CORA dataset (black) are represented.

Figure 6 shows the percentage of good and probably good QC flags in the NRT and CORA datasets compared to the RAW dataset. It shows that the yearly tendencies for the proportion of good and probably good flags are almost the same at all depths. In any case, CORA and NRT differ by less than 0.5 %. The proportion of good and probably good temperature flags varies from a minimum of 92 % in 2006 to a plateau of about 98 % after 2013. The 975–1025 m depth and 1475–1525 m depth layers depart from the others, with a 1 % to 2 % lower rate between 2005 and 2013. Punctual decreases in good and probably good temperature flag rates are observed in late 2007, late 2012, late 2014, and at the beginning of 2016 for the surface and subsurface layers. These spikes are caused by a sharp increase in the number of profiles distributed from a tropical mooring from the RAMA network. These profiles are indeed first distributed in the Coriolis dataset as TESAC profiles transmitted from the Global Temperature and Salinity Profile Program (GTSPP). The profiles corresponding to tropical moorings are usually later replaced by the corresponding measurements transmitted by PMEL, and the TESAC profiles are deleted from the database. In this particular case, the TESAC profiles had been retained and flagged as bad profiles instead. The yearly number of profiles in the RAW dataset is thus strongly increased, but the corresponding number for the NRT and CORA dataset is not. The good and probably good salinity flag rate tendency is opposite to the good temperature flag rate, with a maximum of over 98 % before 2010 and then a decrease to a level of about 94 % with high interannual variability after 2011.

Figure 8Mean salinity standard deviation in the 475–525 m depth layer (a), 975–1025 m depth layer (b), and 1475–1525 m depth layer (c). The raw dataset (red), NRT dataset (blue), and CORA dataset (black) are represented.

The mean 0–50, 75–125, 275–325, 475–525, 975–1025, and 1475–1525 m depth salinity standard deviations analyzed by the method (Eq. 4) from 2005 to 2016 are shown in Figs. 7 and 8. The mean salinity standard deviation is averaged between 60 N and 60 S for each dataset analysis. The comparison of the raw dataset analysis with the NRT analysis and the CORA analysis shows the gain in dataset quality resulting from the QC performed. In the raw dataset analysis, numerous random mistakes result in a high average salinity standard deviation. The raw dataset standard deviation is, however, lower in the early period at almost all levels, despite a rather high global level for the 475–525 m depth layer and a variability spike in late 2006 in the bottom layer. This lower variability level is probably a consequence of the Argo program development from 2005 to 2008, with the low coverage in the southern oceans preventing the emergence of high-level values. During this period, a large seasonal variability is present in the upper layers, varying from 0.2 PSU during winter to 0.4 PSU during summer in the surface layer. The peaks in ocean variability are thus correlated with peaks in ocean coverage (see Fig. 5). The objective analyses also have a higher proportion of shipborne measurements, CTDs for instance, essentially made during summer, compared to the autonomous measurements in the same years. We can thus assume that the lower number of profiles during winter does not allow us to correctly sample the subsurface ocean fronts, leading to an underestimated wintertime ocean variability. The increase in the amount of Argo float data from 2005 to 2008 slowly decreased this bias in the ocean variability estimation. The raw dataset surface salinity standard deviation increases during the 2010–2016 period at all depth levels, with a 0.6 PSU amplitude and spikes up to 1.2 PSU in 2010 in the surface layer, as well as spikes varying from 0.9 to 1.2 PSU in the other layers.

The NRT analysis is very close to the CORA analysis before 2008. This behavior is a consequence of the low number of measurements corresponding to this period collected or updated in the database after the validation of the last version of the CORA dataset. The flags in the NRT and CORA datasets are indeed the same except when an updated version of a profile is loaded in the database or a new profile is loaded in the Coriolis database. On the other hand, large discrepancies between the NRT and the CORA datasets are recorded between 2009 and early 2012 and between late 2013 and 2016. Another fraction of the discrepancy between the NRT and the CORA error bars is caused by non-Argo profiles updated in the Coriolis database without delayed-time-mode assessment. Most of these measurements are sea mammal profiles in the northern Pacific Ocean or mooring data imported from the GTSPP (Global Temperature and Salinity Profile Program; https://www.nodc.noaa.gov/GTSPP/, last access: May 2018) TESAC messages with biased salinity sensors. Sea gliders with a 5 to 10 PSU bias in salinity were also documented. Moreover, despite a lower number of profiles flagged, a few CORA-flagged Argo profiles have biases large enough to strongly increase the analyzed ocean variability. Some of the spikes in the NRT ocean variability documented in the upper layers, the late 2007 to 2008 spike for instance, are observed in the surface layers since they are caused by biased instruments operating at the surface to subsurface layers. Some other spikes in the ocean variability, the 2009–2011 spike for instance, are caused by biased Argo measurements and thus impact the ocean variability from the surface to 2000 m of depth.

A striking feature is the corresponding spike visible in the NRT analysis and in the raw dataset analysis in late 2010, which suggests that major data errors have not been flagged in the dataset during the NRT validation. Further exploration of this anomaly has shown that a fraction of the larger error bar in the NRT analysis is caused by an issue in the update of delayed-time-mode processed Argo profiles. In a few cases when salinity measurements present large drifts, the Argo PIs can decide that the salinity drift is too high to be adjusted. In these cases, the PI provides to the global DAC a delayed-time version of the profiles with an adjusted temperature field but with a practical salinity field with fill values and a salinity QC field filled with “4” values (bad measurement status). In some cases, the Coriolis data center had updated the profiles by getting the temperature-adjusted field but without creating a salinity-adjusted field. The available salinity field in the Coriolis data center is therefore the original salinity field that might not have been flagged at 4. In this study, a handful of these profiles, often associated with large salinity measurement drifts (for instance, salinity values on the order of 20 PSU in the Indian Ocean), have produced large error bars in the NRT analysis fields. This issue will be soon tackled in the Coriolis database.

Figure 9Mean temperature standard deviation in the 0–50 m layer (a), 75–125 m depth layer (b), and 275–325 m depth layer (c). The raw dataset (red), NRT dataset (blue), and CORA dataset (black) are represented.

The CORA analysis salinity standard deviation slowly varies in time, with 0.15 PSU in the surface layer, 0.1 PSU in the 75–125 m depth layer, 0.08 PSU in the 275–325 m depth layer, and below 0.05 PSU in the deeper layers. This behavior is a consequence of the delayed-time-mode validation process, which strongly reduces the number of random mistakes in the dataset. This variability is probably a function of the local data resolution, the oceanic variability, and measurement errors. The slow variability of the CORA salinity standard deviation and its reasonable range suggests that remaining errors in the dataset will not have a large importance. Thus, this product is likely to present a low error amplitude.

Figures 9 and 10 show time series of the mean temperature standard deviation of the CORA, NRT, and RAW analysis. As anticipated, the mean temperature standard deviation time series is noisy and rather high in the RAW dataset case. The mean amplitude varies almost linearly between 1.2 C in the 0–50 m depth layer and 0.4 C in the 1475–1525 m depth layer, except for the 975–1025 m depth layer with a 1.2 C spike. A striking feature is the decreasing mean temperature standard deviation amplitude in time for the RAW analysis. The reason for this behavior is rather unclear. One shall assume that the overall quality of the oceanographic in situ temperature measurement improves because of improvements in the temperature sensor. On the other hand, it might also be the decrease in the number of deployed XBTs in the 2010s that reduces the number of random errors in the dataset, since the XBT instruments are known to produce erroneous measurements when they are not handled properly.

Figure 10Mean temperature standard deviation in the 475–525 m depth layer (a), 975–1025 m depth layer (b), and 1475–1525 m depth layer (c). The raw dataset (red), NRT dataset (blue), and CORA dataset (black) are represented.

The NRT analysis and CORA analysis time series are rather close in all the analyzed layers, except for a 0.8–1 C spike in 2014–2015, which was detected in all layers but the 1475–1525 m depth layer and enhanced in the 475–525 m and in the 975–1025 m depth layers. This anomaly is related to the flag of numerous XBT measurements during the CORA delayed-time-mode validation process. XBTs are indeed more likely to fail (spikes or bias caused by a stretching of the XBT wire or a contact between the XBT wire and the ship hull) or result in a bad estimation of the measurement depth. Most of the flagged XBTs are T-4 and Deep Blue models. These models do not usually measure in situ temperature below 460 m of depth and 760 m of depth, respectively, leading to correlated anomalies in the upper layers with no impact on the ocean variability below 800 m of depth.

The CORA analysis variability has a mean amplitude of 0.85 C with a clear seasonal cycle of about 0.3 C in the 0–50 m layer. The CORA analysis mean variability amplitude averages 0.95 C in the 75–125 m depth layer, with a monthly variability uncorrelated with the seasonal cycle. The seasonal cycle amplitude is null in the deeper layers, with a CORA analysis mean variability amplitude of 0.6 C in the 275–325 m depth layer, 0.4 C in the 475–525 m depth layer, 0.2 C in the 975–1025 m depth layer, and 0.1 C in the 1475–1525 m depth layer. The higher-frequency variability decreases with depth and is almost null in the deeper layers, as seen in Figs. 9 and 10. The noisy shape of this high-frequency variability is probably a result of ocean monthly variability and the changing locations of the ocean profiles.

The 2014–2015 spike in the ocean variability, detected in all the layers except for the deeper one in the NRT analysis, is caused by many XBT profiles. Most of those profiles are deployed in the Indian Ocean across a transect linking the Gulf of Aden to Perth, Australia, corresponding to measurements performed by the Ship of Opportunity Program (Goni et al., 2009). The profiles have been extracted from the World Ocean Database and thus have not been validated with the Coriolis real-time validation framework. Many biases and spikes, probably due to issues with the probes or with poor insulation of the XBT wires, have been flagged in delayed-time mode. The largest part of the upper layer spikes in the NRT and RAW analyses is a result of these erroneous measurements. In addition to the usual issues with the XBT measurements, the profiles sometimes indicated negative values at subsurface depths or temperatures of 36.269 C at depth located above the maximum functioning depth of the XBT (460 m of depth for T-4 and T-6, 760 m depth for Deep Blue). These unrealistic values were not flagged after extraction from the WOD dataset, resulting in exponential growth of the local amplitude of temperature standard deviation in the RAW and NRT analysis in the 475–525 m depth and 975–1025 m depth layers.

A closer look at the vertical profiles of the temperature and salinity mean variability (Figs. 9 and 10) shows that the CORA analysis temperature and salinity variability is far smaller than the RAW analysis and the NRT analysis estimation. The depth variability of the temperature and salinity mean variability is moreover closer to the expected oceanic variability, with maximum ocean variability at the surface or close to the subsurface and decreasing variability below the ocean mixed layer depth. We, however, lack a reference high-quality dataset to compare with to prove that the CORA dataset is not decreasing the global ocean variability by over-flagging good data. Indeed, one should keep in mind that most of the flags applied on these profiles are manually applied by physical oceanographers after receiving a detection alert, and the rate of flagged profiles in the CORA analysis is lower than the rate announced for a reference dataset and analysis based on automatic quality control tests (Gouretski et al., 2018).

6 Conclusions

The CORA dataset is an extensive dataset of temperature and salinity measurements. Efforts have been made to provide the scientific community with information as close as possible to the physical measurement and to perform a strict quality control on all profiles. The CORA dataset indeed stands out from the EN4 dataset since the delayed-time-mode validation is based on automatic detections and systematic PI decisions, reducing the number of mistaken bad flags. In addition to that, the profiles are not subsampled and the time series (TSGs and drifters) are distributed. It also stands out from the WOD dataset since all measurements within a profile are validated in delayed-time mode, reducing the number of mistaken measurements.

Moreover, this study develops an innovative method to assess the overall quality of a dataset. This method shows improvements of the dataset quality flags thanks to Coriolis real-time QC and the CORA delayed-time-mode QC frameworks. This method, however, lacks a comparison with an analysis based on other datasets to ensure that the CORA validation framework is not constraining its description of the ocean variability by over-flagging good measurements. This discussion shall be further pursued. This method is based on the mapping of the ocean variability. It is thus implicit that the ocean sampling is homogeneous and sufficient to perform a monthly analysis. These conditions are met at a global scale and for ocean measurements from the surface to 2000 m of depth since the full deployment of the Argo network. Last, the ocean data coverage is, however, insufficient to have a global coverage before 2005 (see Fig. 3 for the ocean basin data coverage ratio), especially at depth larger than 1000 m between 1990 and 2005 and at depth larger than 500 m before 1990, as seen in Fig. 2. The method will thus have to be adapted to the ocean data coverage to provide a synoptic view of the dataset quality.

Data availability
Data availability.

The CORA 5.2 dataset is distributed by the Copernicus Marine and Environment Monitoring System (CMEMS). Product name: INSITU_GLO_TS_REP_OBSERVATIONS_013_001_b. DOI: https://doi.org/10.17882/46219TS1 (Szekely et al., 2019).

Author contributions
Author contributions.

TS and JG conceived and designed the analysis on the advice of GR. TS, SP, and GR collected the data and contributed to the data validation. TS and JR wrote the article.

Competing interests
Competing interests.

The authors declare that they have no conflict of interest.

Special issue statement
Special issue statement.

Review statement
Review statement.

This paper was edited by Emil Stanev and reviewed by two anonymous referees.

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