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Articles

Interpolated fields of satellite-derived multi-algorithm chlorophyll-a estimates at global and European scales in the frame of the European Copernicus-Marine Environment Monitoring Service

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Pages 47-57 | Received 16 Jan 2017, Accepted 30 Oct 2018, Published online: 09 Dec 2018

ABSTRACT

The new level-4 daily chlorophyll-a interpolated products described in this paper and freely available in the Copernicus-Marine Environment Service, aim at providing daily continuous fields (cloud-free) of satellite-derived chlorophyll-a surface concentration at two different resolutions: 4*4 km over the world and 1*1 km resolution over Europe. The multi-sensor daily analyses, by filling the cloudy pixels, provide high-frequency retrievals of chlorophyll-a which can contribute to a better monitoring of the phytoplankton biomass. From a methodological point of view our approach is a combination of a water-typed merge of chlorophyll-a estimates and an optimal interpolation based on the kriging method with regional anisotropic covariance models. These analysed products have been designed to meet the expectations of the end users, by considering both the typical lack of observations during cloudy conditions and the historical multiplicity of available algorithms involved by case 1 (oligotrophic) and case 2 (turbid) water classifications. These products gather MODIS (Moderate Resolution Imaging Spectroradiometer), MERIS (MEdium Resolution Imaging Spectrometer), SeaWiFS (Sea-viewing Wide Field-of-view Sensor), VIIRS (Visible Infrared Imaging Radiometer Suite) and OLCI (Ocean and Land Colour Instrument) daily observations from 1997 to the present. A total product uncertainty, i.e. a combination of the interpolation and the product error, is provided for each pixel.

1. Introduction

In the ocean colour chain, observations from the Top Of Atmosphere (TOA), i.e. the level 1 products, are firstly corrected for the atmospheric signal using a specific method for each sensor to obtain the level 2 products, i.e. water leaving reflectances or radiances (Antoine and Morel Citation1999; Wang Citation2010; Saulquin et al. Citation2016). Given the level 2 products, oligotrophic case 1 (Bricaud et al. Citation1998; Loisel and Morel Citation1998; O’Reilly et al. Citation2000; Morel et al. Citation2006, Citation2007) or regional case 2 algorithms, for coastal turbid waters, are used to estimate the water constituent properties such as chlorophyll-a (chl-a) concentration, suspended matter concentration or the coloured dissolved organic matter absorption (Sathyendranath 2000; Doxaran et al. Citation2002; Siegel et al. Citation2005; Bowers and Binding Citation2006; Lee Citation2006; Doerffer and Schiller Citation2007; Saulquin et al. Citation2013, Citation2015). The multiplicity of both the atmospheric correction processors and the different algorithms used to estimate the same water constituents typically lead to a large number of available products for ocean colour. Another issue for users is that the sea surface observation in the optical range is not possible during cloudy conditions. As a consequence of all these issues, in many cases, scientists use monthly or weekly temporal composites of a specific chl-a product (case 1 or 2) that poorly address the real variability of the estimated parameter. We propose here daily analyses of satellite-derived surface chl-a concentration. The chl-a analyses involve multiple sensors, available since 1997, multiple chl-a algorithms and an interpolation scheme based on the kriging method using anisotropic covariance models. Such a daily space–time interpolation scheme is already available for Sea Surface Temperature (SST, Donlon et al. Citation2012) and Sea Surface Height (SSH, Schaeffer et al. Citation2011). However few experiments exist for ocean colour (e.g. Krasnopolsky et al. Citation2016) and this product is the first operational one at global scale, following the evolution towards multi-sensor products directly available to the user community as promoted by the Ocean Colour Climate Change Initiative of ESA (Melin et al. Citation2017).

Conversely to the standard daily, single sensor and single algorithm level 2 or level 3 products, the proposed level 4 products avoid end users having to consider both the typical lack of data (outside of the satellite swath or observed during cloudy conditions) and the historical multiplicity of available chl-a algorithms. Compared to our first version of the level 4 for the MyOcean project (Saulquin et al. Citation2010), precursor of the CMEMS, we introduced the optimal merging of different chl-a algorithms and an improved interpolation scheme with anisotropic covariance models near the coasts. The method is also now applied at global scale and a total uncertainty is provided with each pixel. gathers the main characteristics of the products and and show two examples of daily interpolated fields freely distributed in the frame of the Copernicus Marine Environment Monitoring Service (CMEMS).

Figure 1. Example of the OCEANCOLOUR_ATL_CHL_L4_NRT_OBSERVATIONS_009_037 daily L4 chl-a product for 20160801.

Figure 1. Example of the OCEANCOLOUR_ATL_CHL_L4_NRT_OBSERVATIONS_009_037 daily L4 chl-a product for 20160801.

Figure 2. Example of the OCEANCOLOUR_GLO_CHL_L4_NRT_OBSERVATIONS_009_033 daily L4 chl-a product for 20160801.

Figure 2. Example of the OCEANCOLOUR_GLO_CHL_L4_NRT_OBSERVATIONS_009_033 daily L4 chl-a product for 20160801.

Table 1. Summary of the main characteristics of the L4 daily analysed chl-a products provided in the frame of the CMEMS for the global ocean and the European North-West Shelf Seas. Registration is required to freely access the data. J0 is the day of acquisition.

shows a synthetic flow diagram describing the two-step algorithm involved for processing the chl-a analyses. The first step aims at merging chl-a fields estimated using different algorithms, starting from the level 2 reflectances. The qualification of each algorithm has been performed in a previous validation step using an independent in-situ dataset (cf. §2.2). The aim of this probabilistic merging is to provide to end-users the ‘best’ estimate of the chl-a concentration for the observed pixel depending on the local conditions. The second step consists in a space–time interpolation of the chl-a merged fields of each sensor. Our interpolation technique is an advanced version of the standard optimal interpolation technique (OI) that includes anisotropic covariance models (Matheron Citation1971; Saulquin et al. Citation2010; Tandeo et al. Citation2014).

Figure 3. Synthetic flow diagram for the L4 products.

Figure 3. Synthetic flow diagram for the L4 products.

2. Methodology

2.1. Multi-algorithm merging to optimise chl-a estimates for a single pixel

We test in this study the suitability of the most popular chl-a algorithms for different types of water, typically the oligotrophic waters, the chl-a dominated waters and the coastal turbid waters. We have characterised in a first step the water types using the shape of in-situ radiometric spectra. To estimate the reference shapes, we used 7952 in-situ spectra, extracted from the MERMAID database (see annex 1) and an updated version of the k-means algorithm (Flannery Citation2007). The MERMAID dataset gathers more than 30 independent datasets, including the NOMAD and AERONET-OC datasets. Each spectrum is defined using 6 wavelengths: 412, 442, 490, 510, 555 and 670 nm. These in-situ measurements have been acquired all over the world and the sampling is considered here to be large enough to characterise the three selected water types (a minimum of 1,000 spectra was assigned to the smaller class). The metric used in the segmentation procedure is the mean spectral angle θ(i|k) between the kth reference and the observed spectrum for pixel i (Kuching Citation2007):(1) θ(i|k)=arcosλspi(λ)sp_refk(λ)|spi||sp_refk|(1) Where λ is the wavelength. |spi| and |sp_refk| are respectively the norm of the observed spectrum and the kth reference spectrum (i.e. oligotrophic, chl-a dominated or turbid waters). Conversely to the approach proposed by Moore et al. (Citation2001), our metric in (1) is only sensitive to the shape of the spectra and not the amplitude. The in-situ normalised spectra and the estimated reference spectra are shown in .

Figure 4. The 3 normalised reference spectra estimated to characterise the water types. In blue, the reference shape for the clear oceanic waters. In green, the reference shape for the chl-a dominated waters. In red, the reference shape for the coastal waters influenced by suspended matters, chl-a and cdom absorption. In black, the spectrum database used to estimate the reference spectra with the updated k-means procedure.

Figure 4. The 3 normalised reference spectra estimated to characterise the water types. In blue, the reference shape for the clear oceanic waters. In green, the reference shape for the chl-a dominated waters. In red, the reference shape for the coastal waters influenced by suspended matters, chl-a and cdom absorption. In black, the spectrum database used to estimate the reference spectra with the updated k-means procedure.

The posterior membership probability of the observed spectrum at pixel i to the reference water type k is estimated as:(2) P(i=k)=θ(i|k)1k=1Nθ(i|k)1(2)

The posterior membership probability is thus estimated for all pixels and each sensor using the level 2 satellite-derived reflectance data in the first step of the processing (cf ). shows an example of the estimated spatial distribution of the observed water types using the MODIS Level 2 data for the month of March 2010 and eq. 2. To ensure the spatial continuity of the estimated chl-a merged fields, i.e. avoid zero to one probability switch, the merging between algorithms is performed using the membership probability weighted sum:(3) Chla(i)=k=1nclusterP(i=k).Chla(k)(3) (4) With:k=1nclusterP(i=k)=1,i(4) Where Chla(k) is the estimated chl-a concentration for pixel i using the kth algorithm.

Figure 5. The spatial distribution of the different water types observed in March 2010 using the MODIS data and eq. 2. Top, left, clear oceanic waters; top, right, chl-a dominated waters, bottom, coastal waters influenced by the suspended matters, chl-a and cdom absorption. White areas mean zero probability.

Figure 5. The spatial distribution of the different water types observed in March 2010 using the MODIS data and eq. 2. Top, left, clear oceanic waters; top, right, chl-a dominated waters, bottom, coastal waters influenced by the suspended matters, chl-a and cdom absorption. White areas mean zero probability.

2.2. Interpolation methodology applied to the chl-a fields: the regional kriging with anisotropic covariance models at the shore

2.2.1. From isotropic to anisotropic covariance models in the optimal interpolation procedure

The interpolated variable is the chl-a anomaly for each sensor with respect to a global daily climatology computed at global scale using the chl-a merging technique and all sensors available (1997–2010). The isotropic distribution of the chl-a anomalies is an assumption that clearly fails in coastal areas where the coastal gradients are not constant in time and space. The chl-a analyses involve therefore anisotropic covariance models in the 0–200 km range from the shore. Conversely to the isotropic covariance models that state that the covariance only depends on the distance between two observations, the anisotropic model states that the covariance is a 2D function (e.g. the covariance follows gradient isolines near the shores). We use here two parameters to modify our initial interpolation scheme based on the isotropic hypothesis (Saulquin et al. Citation2010) to integrate the anisotropic hypothesis: the anisotropic ratio that estimates the local level of anisotropy, and the direction of the main covariance axis (see Tandeo et al. Citation2014, , for the definition of a 2D semi-empirical variogram).

The estimation of both the local main covariance axis direction and the anisotropic ratio contribute to a better interpolation by first seeking for observations along the principal axis of covariance and second, by giving more important weights in the interpolation to the observations close to the main covariance axis. shows the monthly climatological anisotropic ratio (right) and the direction of the main covariance axis (left) for the month of March. An anisotropic ratio equal to 1 is equivalent to the isotropic situation, i.e. the covariance of the chl-a anomalies is independent of the direction and depends only on the distance (Matheron Citation1971; Saulquin et al. Citation2010).

Figure 6. Left, climatological orientation of the main covariance axis ϕ of the chl-a anomalies over European seas and the month of March (the zero is in the East direction). Right, climatological anisotropic ratio of the chl-a anomalies over European seas and the month of March.

Figure 6. Left, climatological orientation of the main covariance axis ϕ of the chl-a anomalies over European seas and the month of March (the zero is in the East direction). Right, climatological anisotropic ratio of the chl-a anomalies over European seas and the month of March.

Our operational interpolation scheme is thus based on maps of climatological monthly means for the variogram parameters, namely σi the local sill for pixel i, pxi and pti respectively the local spatial and temporal nuggets, spatial_rangei and temporal_rangei respectively the local estimates of the maximum distance and time between two observations significantly correlated, ϕi the direction of the main covariance axis and ratioi, the anisotropic ratio (see Saulquin et al. Citation2010 and Tandeo Citation2014 for details). These maps have been computed in a previous step using a regular grid of 0.15*0.15° resolution and the MODIS 2006–2013 training dataset. We introduce here the formalism used to update the classical spherical variogram to take into account the anisotropy. The experimental semi-variogram, γi(dt,ds), is obtained using the following equation applied to n(ds, dt) observations (chl-a anomalies) separated from distance ds and time dt (Matheron Citation1971; Saulquin et al. Citation2010):(5) γi(dt,ds)=σi(1.5d0.5d3)+pxi+pti(5) Where d is the spatio-temporal distance:(6) d=dsspatial_rangei+dttemporal_rangei(6) ds is the Euclidian distance between two observations, dt is the time interval. In case of anisotropic covariance, i.e. a ratio smaller than 1, the spatial distance ds of eq. 6 is weighted using the anisotropic ratio and direction:(7) daniso=dsratioicos2(ϕi)+ratioisin2(ϕi)(7)

2.3. Total uncertainty associated with the CMEMS L4 chl-a daily products

The L4 chl-a analyses are provided with a total uncertainty in mg.m−3, σi, for each pixel n. σi2 is expressed as the quadratic sum of the interpolation and the product errors:(8) σi=σiproducts2+σiinterpolation2(8) σiinterpolation is the classical kriging variance (Saulquin et al. Citation2010): (9) σiinterpolation2=l=1nj=1nλlλjγ(xl,tl;xj,tj)+2l=1nλlγ(xl,tl;xi,ti)(9) With l and j the couples of observations used in the estimation of the interpolated value at pixel i.

σiproducts is the weighted sum of the uncertainty for each water type σk:(10) σiproducts= k=1nclusterP(i=k)σk2(10) P(i = k) is the membership probability of the spectrum at pixel i to the kth reference water type, estimated using Eq. 2. σk is the chl-a kth product uncertainty, estimated in a previous step using in-situ data (see §2.2 for the validation of the selected chl-a algorithms per water type) ( shows an example of the total uncertainty provided for each pixel and the Level 4 products for the 01 October 2012.).

Figure 7. An example of the total chl-a uncertainty, in mg.m−3, provided with the chl-a L4 daily analysed fields (cf Eq 8). The stripes, or spatial discontinuities in the total uncertainty, refer to the observation temporal distribution: if some observations are available for the current day, the interpolation error term is lower leading to a lower total uncertainty.

Figure 7. An example of the total chl-a uncertainty, in mg.m−3, provided with the chl-a L4 daily analysed fields (cf Eq 8). The stripes, or spatial discontinuities in the total uncertainty, refer to the observation temporal distribution: if some observations are available for the current day, the interpolation error term is lower leading to a lower total uncertainty.

3. Results of the validation of the chl-a fields

3.1. Protocol for the validation with matchups

The Copernicus-GlobColour products include comparisons between the MERIS, SeaWiFS, MODIS Aqua and VIIRS products and multiple in-situ datasets available in MERMAID (see ). The Principle Investigators (PI) are here duly acknowledged for providing these in-situ measurements. To establish the matchups, i.e. collocated observations in time and space between satellite observations and in-situ, the following protocol described here is used. The time difference between the in-situ record and the satellite overpass should not exceed ±12 h. For buoys/stations (where many in-situ measurements can be available) only the nearest in time is kept. A minimum of 10 valid pixels in a 5 × 5 pixel box centred on the in-situ location is required. Valid pixels means pixels for which no flag is raised (including clouds, ice, hilt, straylight, clouds, highglint, sensor zenith angle greater than 60o, sun zenith angle greater than 70°, see SeaWiFS Postlaunch Technical report series Citation2003; MERIS Level Citation2 DPM Citation2011). For all the statistics, we used the reprocessed (REP) dataset. All the statistics are here computed the natural unit for the chl-a (no log-transformation).

3.2. Validation of the satellite-derived chl-a algorithms per water type

The tested chl-a algorithms were OC3 (Antoine and Morel Citation1999), GSM (Siegel et al. Citation2005), AP2 (Doerffer and Schiller Citation2007), and OC5 (Gohin et al. Citation2002). The statistical indices are ordered using their importance: number of matchups, bias, correlation coefficient and standard deviation. Underlined results highlight the ‘best’ algorithm for the considered water type. confirms that the selected chl-a algorithms perform differently depending on the water type. This simple analysis justifies the merging approach of the chl-a estimates. Using the validation results in , for each water type, the following chl-a algorithms were selected for the creation of the level 3 multi-algorithm product used as input for the interpolation procedure (cf §1.1): clear oligotrophic waters, OC3; chl-a dominated waters, OC3; coastal waters, OC5. This qualification has been recently confirmed in Tilstone et al. (Citation2017).

Table 2. Qualification of the most popular chl-a algorithms per water type. The ‘best’ algorithm is underlined for each water type I (results are estimated using the chl-a in mg.m−3).

3.3. Validation of the water-typed chl-a merge (level 3) and the analysed fields (level 4)

shows the distribution of errors for the Global (4km resolution, top) and European products (1km resolution, bottom). On the left are shown the water-typed chl-a merged product validation (without interpolation) and on the right the corresponding interpolated products.

Figure 8. Histograms of the errors in mg.m−3 of the water-typed merge of chl-a (left) and interpolated fields (right) compared with in-situ chl-a measurements for (top) the global 4 km resolution products (033 & 082), and (bottom) the European 1km resolution products (037 & 098).

Figure 8. Histograms of the errors in mg.m−3 of the water-typed merge of chl-a (left) and interpolated fields (right) compared with in-situ chl-a measurements for (top) the global 4 km resolution products (033 & 082), and (bottom) the European 1km resolution products (037 & 098).

provides a synthesis of the validation results with N the number of matchups, r, the Pearson correlation coefficient, slope and offset of the regression estimated vs in-situ, mean bias and standard deviation. Note that the interpolated products showed similar results to the non-interpolated products when the observation is available (i.e. when no interpolation is needed).

Table 3. Estimated accuracy statistics of the validation of the level 4 chl-a products (results are estimated using the chl-a in mg.m−3).

4. Conclusions

The observed differences in the performances of the four selected chl-a algorithms on three different water types (oligotrophic, chl-a dominated and coastal turbid) justified the water-typed merging of the chl-a estimates. The algorithm merging is performed for each pixel using a probabilistic approach based on the spectral mean angle between the observed spectrum and the three reference water types. The aim of this merging is to provide to end-users the ‘best’ estimate of the chl-a concentration for the observed pixel depending on the local conditions. In the near future, new algorithms will be evaluated, such as the one proposed by Hu et al. (Citation2012) for oligotrophic waters, and included to either replace a selected algorithm for a specific type of water or address a new water type contributing hence to the continuous enhancement of the level 4 products for end users.

The spatio-temporal interpolation is performed using an optimal interpolation involving an anisotropic covariance model at the shore for a better reconstruction of the coastal gradients. The daily analysed fields are available since 1997. Compared with the multiple single sensor level 2 or level 3 products available in the CMEMS catalogue the approach proposed here simplifies the use of ocean-colour products and limits the number of datasets to be downloaded: the users do not have to take into account case 1 and case 2 issues anymore, nor cloudy conditions.

Results of the chl-a analyses validation exercise show a comparable quality, in term of bias and standard deviation, between the water-typed merged fields of chl-a and the corresponding interpolated products. We observe at the same time a multiplication by about 2.5 of the number of available matchups. Comparisons with in-situ data for the chl-a analysed global product show a low bias of 0.02 mg.m−3 with a coefficient of determination (r²) of 0.81. A total uncertainty, i.e. a combination of interpolation and product errors, is also provided for each daily product pixel. The CMEMS L4 daily chl-a products are freely available at a global scale at 4 km resolution (product id 009_033 & 009_082) and on the European North-West Shelf Seas at 1km resolution (product id 009_037& 009_098).

Acknowledgements

This work has been financed by the E.U. Copernicus Marine Service Information http://marine.copernicus.eu/. Thanks to Leanne Fraser, ARGANS, for reviewing the English.

Disclosure statement

No potential conflict of interest was reported by the authors.

Additional information

Funding

This work was supported by Copernicus Marine (CMEMS) [77-CMEMS-TAC-OC].

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Annex: List of the in-situ datasets used for the validation

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