Journal cover Journal topic
Biogeosciences An interactive open-access journal of the European Geosciences Union
Journal topic
Biogeosciences, 15, 5203-5219, 2018
https://doi.org/10.5194/bg-15-5203-2018
Biogeosciences, 15, 5203-5219, 2018
https://doi.org/10.5194/bg-15-5203-2018

Research article 29 Aug 2018

Research article | 29 Aug 2018

# Remote sensing of Trichodesmium spp. mats in the western tropical South Pacific

Remote sensing of Trichodesmium spp. mats
Guillaume Rousset1, Florian De Boissieu2, Christophe E. Menkes3, Jérôme Lefèvre4, Robert Frouin5, Martine Rodier6, Vincent Ridoux7,8, Sophie Laran7, Sophie Bonnet9, and Cécile Dupouy9 Guillaume Rousset et al.
• 1IRD (Institut de Recherche pour le Développement), UMR ESPACE DEV, Nouméa, New Caledonia
• 2Institut national de recherche en sciences et technologies pour l'environnement et l'agriculture (IRSTEA), UMR TETIS, Montpellier, France
• 3IRD-Sorbonne Universités (UPMC, Université Paris 06)-CNRS-MNHN, Laboratoire d'Océanographie et du Climat: Expérimentations et Approches Numériques (LOCEAN), IRD Nouméa BP A5, 98848 Nouméa CEDEX, New Caledonia
• 4IRD Nouméa, Laboratoire d'Etudes en Géophysique et Océanographie Spatiales (LEGOS), Nouméa, New Caledonia
• 5Scripps Institution of Oceanography, University of California San Diego, La Jolla, CA 92093-0224, USA
• 6EIO (Ecosystèmes Insulaires Océaniens), Institut de Recherche pour le Développement-Université de la Polynésie Française-Institut Malarmé-Ifremer, Papeete, French Polynesia
• 7Observatoire Pelagis, UMS3462, Université de la Rochelle/CNRS, La Rochelle, France
• 8Centre d'Etude de Chizé, UMR7273 – CNRS- Université de La Rochelle, 2 Rue Olympe de Gouges, 17000 La Rochelle, France
• 9Aix Marseille Université-CNRS-INSU, IRD, Mediterranean Institute of Oceanography (MIO), UM110, IRD Nouméa, BP A5, 98848 Nouméa CEDEX, New Caledonia
Abstract

Trichodesmium is the major nitrogen-fixing species in the western tropical South Pacific (WTSP) region, a hot spot of diazotrophy. Due to the paucity of in situ observations, remote-sensing methods for detecting Trichodesmium presence on a large scale have been investigated to assess the regional-to-global impact of this organism on primary production and carbon cycling. A number of algorithms have been developed to identify Trichodesmium surface blooms from space, but determining with confidence their accuracy has been difficult, chiefly because of the scarcity of sea-truth information at the time of satellite overpass. Here, we use a series of new cruises as well as airborne surveys over the WTSP to evaluate their ability to detect Trichodesmium surface blooms in the satellite imagery. The evaluation, performed on MODIS data at 250 m and 1 km resolution acquired over the region, shows limitations due to spatial resolution, clouds, and atmospheric correction. A new satellite-based algorithm is designed to alleviate some of these limitations, by exploiting optimally spectral features in the atmospherically corrected reflectance at 531, 645, 678, 748, and 869 nm. This algorithm outperforms former ones near clouds, limiting false positive detection and allowing regional-scale automation. Compared with observations, 80 % of the detected mats are within a 2 km range, demonstrating the good statistical skill of the new algorithm. Application to MODIS imagery acquired during the February-March 2015 OUTPACE campaign reveals the presence of surface blooms northwest and east of New Caledonia and near 20 S–172 W in qualitative agreement with measured nitrogen fixation rates. Improving Trichodesmium detection requires measuring ocean color at higher spectral and spatial (<250m) resolution than MODIS, taking into account environment properties (e.g., wind, sea surface temperature), fluorescence, and spatial structure of filaments, and a better understanding of Trichodesmium dynamics, including aggregation processes to generate surface mats. Such sub-mesoscale aggregation processes for Trichodesmium are yet to be understood.

1 Introduction

The western tropical South Pacific (WTSP) is a low nutrient, low chlorophyll (LNLC) region, harboring surface nitrate concentrations close to detection limits of standard analytical methods and limiting for the growth of the majority of phytoplankton species . This lack of inorganic nitrogen favors the growth of dinitrogen (N2)-fixing organisms (or diazotrophs), which have the ability to use the inexhaustible pool of N2 dissolved in seawater and convert it into bioavailable ammonia. Several studies have reported high N2 fixation rates in the WTSP , which has recently been identified as a hot spot of N2 fixation . During austral summer conditions, N2 fixation supports nearly all new primary production and organic matter export as nitrate diffusion across the thermocline and atmospheric sources of N are <10 % of new N inputs. The cyanobacterium Trichodesmium is one of the most abundant diazotrophs in our oceans and in the WTSP in particular . Cell-specific N2 fixation measurements recently conducted in the WTSP have revealed Trichodesmium as the major N2-fixing organism, accounting for >60 % of total N2 fixation . One of the characteristics of Trichodesmium is the presence of gas vesicles, which provide buoyancy and help maintain this cyanobacterium in the upper ocean surface. Trichodesmium cells are aggregated and form long chains called trichomes. Trichomes then can gather into colonies called “puffs” or “tuffs”, and these colonies can aggregate at the surface of the water and form large mats that can extend for miles. They had already been observed during James Cook's and Charles Darwin's expeditions. During the southern austral summer, Trichodesmium blooms have long been detected by satellites in the region, mostly around New Caledonia and Vanuatu , and later confirmed by microscopic enumerations .

Identifying the occurrence and the spatial distribution of Trichodesmium blooms and mats is of primary importance to assess their regional contribution to primary production and biogeochemical cycles. However, because of their paucity, scientific cruises alone are not sufficient to achieve such a goal, and remote sensing completed by sea observations of mats appears as the unique alternative for assessing its global impact. By using Trichodesmium spectral characteristics, among which are pigment absorption due to phycoerythrin (PE) between 490 and 570 nm, absorption/scattering increase in the red–near infrared (NIR), and particle backscattering , several empirical bio-optical algorithms have been developed to detect Trichodesmium blooms from various satellite sensors. They are extensively documented in and . Former algorithms are classification schemes using thresholds applied to reflectances in the blue–green (440–550) range, like those proposed by and . They were designed using Sea-viewing Wide Field-of-view Sensor (SeaWiFS) observations. Using spectral features in Moderate Resolution Imaging Spectroradiometer (MODIS) Aqua observations at 250 m in the red–NIR, elaborated a simple reflectance classification algorithm to detect dense Trichodesmium surface aggregation. By providing an operational floating algae index (FAI), also demonstrated the potential for using the red-edge effect, that is, the increasing absorption in the red (620–700) and scattering in the NIR (beyond 700) region of the spectrum due to floating algae. Using Medium Resolution Imaging Spectrometer (MERIS) observations in the red–NIR band, provided a similar index of Trichodesmium surface slicks. In their Trichodesmium bio-optical model, used specific inherent optical properties (Trichodesmium-specific absorption and backscattering parameters) to estimate Trichodesmium biomass from SeaWiFS reflectances.

The application of these algorithms to MODIS imagery revealed several issues, some of which were raised and discussed in the aforementioned articles. For example, the red edge over Trichodesmium mats can lead to controversial results since atmospheric correction for aerosols is based on information at similar wavelengths . Sampling effects are also exacerbated due to the occurrence of clouds in the WTSP since the blooming period of Trichodesmium (mainly November to March; ) coincides with the cloudiest period of the South Pacific Convergence Zone, making it difficult to identify coincident in situ mats in satellite imagery. Moreover, because Trichodesmium mats are narrow (50m typically), the suitability of MODIS visible–NIR spatial resolution to detect such surface aggregations is questionable.

The aim of this study is to provide a systematic detection of Trichodesmium blooms in the vast WTSP ocean between latitudes 26 and 10 S and longitudes 155 and 190 E, building on previously published algorithms and using marine reflectances measured by MODIS onboard Aqua. To evaluate the detection performance, a large database of historical mat observations in this region was created and updated with recent datasets and particularly the Oligotrophy to UlTra-oligotrophy PACific Experiment (OUTPACE) cruise of March–April 2015 . As a consequence of improvements in MODIS Collection 6 calibrations and algorithm updates for aerosol and cloud screening , Trichodesmium detection algorithms developed with previous collections had to be adapted whenever possible. From this experience, a new algorithm less prone to contamination by clouds emerged, combining methods to detect Trichodesmium blooms from algorithms by and and was evaluated using high-resolution MODIS imagery. The paper is organized as follows. In Sect. 2 in situ and satellite data used in this study are presented. In Sect. 3 methods to extract Trichodesmium spectral signature and their limitations are described, and details are provided about the former detection algorithms of and , adapted for this study, as well as the newly developed algorithm. In Sect. 4 these algorithms are compared, and the proposed algorithm is evaluated along the OUTPACE cruise transect. In Sect. 5 the new algorithm performance is discussed. In Sect. 6 the conclusions of the study are drawn and perspectives are provided for future work.

2 Material

## 2.1 In situ observations

The in situ data used to train and test the Trichodesmium detection algorithm are a combination of three datasets, providing data in the acquisition period of MODIS Aqua or Terra missions (March 2000–present). The first dataset includes Trichodesmium mat observations published in . These observations were made between 1998 and 2010, from aircraft, French Navy ships, research vessels (e.g., R/V Alis), and ships of opportunity. Some of these visual observations were confirmed by water samples analyzed with photomicrographs confirming the abundant presence of Trichodesmium . The second dataset includes airborne visual observations also gathered in December 2014 in the vicinity of New Caledonia during the “REcensement des Mammifères marins et autre Mégafaune pélagique par Observation Aérienne” (REMMOA) program . This second dataset provides a large number of Trichodesmium mat observations along numerous and repetitive transects, which is most favorable for satellite data validation. In total, the database created from the compilation of these two datasets contains 507 open-ocean observations in the region 15–25 S, 155–180E (Fig. 1). It is referred to as the observation base of Trichodesmium (OBT) in the following and used mainly for algorithm training.

Figure 1Map of in situ (visual) observations of Trichodesmium mats gathered in the studied region.

A third dataset was obtained along a latitudinal transect around 20 S carried out during the OUTPACE scientific cruise in the region 160E–160 W from 23 February to 1 April 2015. Seawater samples were collected for Trichodesmium identification and estimation by quantitative polymerase chain reaction (PCR), a molecular method described in , microscopic counts at selected stations (Mathieu Caffin, personal communication, 2017), and N2 fixation rates as described in . Moreover, Trichodesmium abundance from the Underwater Vision Profiler 5 (Picheral et al.2010), calibrated on trichome concentration from pigment algorithms and on visual counts of surface samples at every station, allowed one to describe the Trichodesmium distribution along the transect .

## 2.2 Satellite data

Marine reflectances from MODIS Aqua and Terra Collection 6 coinciding in time and space with the OBT database and the OUTPACE campaign are used in this study. Level 1A observations were downloaded from NASA's Goddard Space Flight Center (https://oceandata.sci.gsfc.nasa.gov/, last access: 13 August 2018) and processed with SeaDAS v7.0.2 to produce Level 2 reflectances at 250 m and 1 km resolution. SeaDAS v7.0.2 default values were applied during this processing for atmospheric correction failure, land, sun glint, very high or saturated radiance, sensor viewing zenith angle exceedance threshold, stray light contamination, and cloud contamination. Satellite observations with a proportion of valid pixels lower than 40 % within the 0.5 searching radius around each in situ observation were screened out.

Table 1Specification of the first 13 MODIS channels, including primary use, central wavelength, bandwidth, and spatial resolution; http://eoweb.dlr.de:8080/short_guide/D-MODIS.html (last access: 13 August 2018).

MODIS atmospherically corrected (aerosol + Rayleigh) remote-sensing reflectances (Rrs) in the visible, NIR, and short-wavelength infrared (SWIR) ranges were used at different resolutions: 250 m for bands 1 (645 nm) and 2 (859 nm), 500 m (bands 3–7, visible and SWIR land- and cloud-dedicated bands), and 1 km (bands 8–16). Bands 8 to 16 are dedicated to ocean color (Table 1), but the information in high-resolution bands located in the visible–NIR region is also used to track floating blooms. To evaluate the influence of resolution on detection performances, Level 2 remote-sensing data were produced at both 250 m and 1 km resolutions, with interpolation of 500 m and 1 km data and aggregation of 250 and 500 m resolution data, respectively. The consequences of this processing are discussed in Section 5.

The aerosol correction was carried out with the standard method since the study was conducted in the open ocean (Case 1 waters). For reasons detailed in next section, this type of correction is not appropriate in the presence of strong floating algae concentrations. Therefore, Rayleigh-corrected-only reflectances (Rrc) were computed in addition to Rrs in Level 2 outputs.

3 Methods

## 3.1 Motivation in using Rayleigh-corrected reflectance (Rrc) in bio-optic algorithms for floating blooms

The atmospheric correction scheme of utilizes a pair of NIR bands at 748 and 869 nm. Spectral differences in the two NIR bands are used to select the most probable aerosol model, allowing an estimation of the aerosol effects in the visible range. The aerosol contamination is then removed from the top-of-atmosphere (TOA) signal after Rayleigh scattering correction to yield water-leaving radiance, therefore Rrs, in the visible. But to retrieve the aerosol model over Case 1 waters, the method relies on the assumption that optical constituents have negligible contribution to water-leaving radiances in the NIR region. Over floating mats, this assumption does not hold due to red-edge effects, and the atmospheric correction may give erroneous (i.e., too low and even negative) values of Rrs as detailed in . For this reason, Rrc was preferred in floating algal bloom concentration detection algorithms, as performed with the FAI in or with the Maximum Chlorophyll Index (MCI) in . This issue is illustrated in Fig. 2, which presents a MODIS Aqua image of the Australian coast acquired just after a period of heavy rain that led to a massive Trichodesmium bloom. Fortunately, this bloom was also documented through field studies . Figure 2a shows the “true color” image obtained using a combination of Rrc at 469, 555, and 645 nm. On this image, large visible Trichodesmium mats distributed over a vast area can be seen. Figure 2b displays the SeaDAS-derived aerosol optical thickness (AOT) at 555 nm, an indicator of the aerosol load in the atmosphere. The high AOT values match the filamentous spatial structure noticed in the true color image. However, this structure is more likely to be floating material as the patterns are very thin and do not seem to be driven by wind. Moreover, several patches within this structure are flagged as cloud in the center (grey patches in Fig. 2b), although the true color image does not indicate the presence of clouds in this particular area. The misclassification of marine to cloudy pixel is a failure of the cloud detection algorithm, resulting from high water-leaving signal in the NIR bands exceeding the albedo threshold of 2.7 % . Figure 2c shows the chlorophyll concentration (Chl a) estimated according to the OC3 algorithm when Chl a retrievals are above 0.2 mg m−3 and to the ocean color index (OCI) algorithm when they are below . Chl a decreases systematically, even falling to zero, in the vicinity of the Trichodesmium patches, although the real concentrations are certainly larger at the core of the mats than at their periphery. In addition to biomass underestimation, the spectral miscorrection may reduce the performance of reflectance classification schemes, like those based on simple reflectance thresholds or using reflectance ratios in the blue–green range. Prior to using such classification schemes, the spectral signature of Trichodesmium mats using MODIS Rrs and Rrc need to be further investigated (see below).

Figure 2MODIS Aqua tile A2007290.0355 used in : (a) RGB (red, green, blue) image from Rrc generated with R=645, G=555, and B=469 nm computed using the formulae $\mathrm{0.29319407}+\mathrm{0.45585}×\mathrm{atan}\left(\mathrm{50}×\left({R}_{\mathrm{rc}}\right)-\mathrm{0.015}\right)$; (b) aerosol optical thickness at 555 nm derived using the NIR atmospheric correction algorithm by ; (c) chlorophyll concentration product computed from Rrs using OC3 and OCI . Cloud pixels are in grey and land pixels are in brown.

## 3.2 Extraction of the spectral signature of mats

With the persistent cloud cover in the region, the number of strict coincidences of in situ observations and cloud-free MODIS pixels with visible Trichodesmium mats is small. To extract the Trichodesmium spectral signature corresponding to the OBT, six tiles have been specifically selected (Table 2) and are used later on to test the different bio-optical algorithms designed to detect the Trichodesmium presence. These images have been chosen because they are relatively free of clouds, Trichodesmium mats are visible in the true color images, and they contain many “ground-truth” observations (Fig. 3).

Table 2Satellite image with in situ observations used to analyze Trichodesmium mat and adjacent spectra.

The NASA Ocean Biology Processing Group method to select matchups, i.e., average or nearest pixel, was used to find coincidences between in situ observations and clear MODIS satellite pixels. A total of 468 coincident MODIS Aqua pixels and OBT observations were found. After data screening, only 50 pairs remained, indicating that approximately 90 % of in situ observations were not usable, primarily because of cloud cover. Once inspected, 19 MODIS Aqua spectra out of the 50 pixels exhibited Trichodesmium features similar to those documented in and . In order to increase the number of useful observations, the searching window was extended both in time (up to ±4 days), with the hypothesis that a bloom can last for  1 week (Hegde et al.2008), and spatially over ±50km, i.e., 200 pixels at 250 m resolution. This spatial relaxation up to ±50 km is motivated by considering a maximum drifting speed of 10 cm s−1 for algae mats compatible with the observed surface drifts in that region . Also, some in situ observations close spatially and temporarily (in the same tile and at intervals of ±4 days) and increased our degree of confidence in identifying the filamentous patterns due to Trichodesmium.

After extending the searching window, a total of 1200 spectra were extracted. Spectra were labeled, based on information provided by the FAI (Hu2009) and the presence or absence of visible mats in the true color image. When the pixel coincides with a visible mat on the true color image and is characterized with high FAI but low Chl a, it is labeled Type i: it is the signature of high algae concentration. Pixels in close proximity to Trichodesmium mats with low FAI and undetected mats in the true color image are labeled Type ii. This second type of pixels is expected to have a high number of Trichodesmium colonies although not aggregated, offering an opportunity to detect spectral features due to the presence of Trichodesmium pigments other than Chl a.

## 3.3 Robust spectral features over and near Trichodesmium mats

Figure 3True color image of 17 December “2014A2014351.0255” for which in situ observations (red crosses) exist in the OBT database, and it was used for the test and adjustment of the different bio-optical algorithms.

Figure 4MODIS spectra of Trichodesmium mats (a, b, c, d) and adjacent areas (e, f) normalized by the maximum spectral value of all wavelengths, with pixel resolution at 1 km (a, b) and 250 m (c, d, e, f). Panels (a), (c), and (e) are Rrs reflectances. Panels (b), (d), and (f) are Rrc reflectances. The average is the red line and error bars are the standard deviation. The average of the water signal is the blue line.

Figure 4b shows Type i average Rrc spectrum for 1 km resolution images. Compared to the blue water spectrum (see blue curve) no Trichodesmium spectral feature could be detected in the visible and NIR spectral domain. The increase in Rrc beyond 700 nm indicates that, at low resolution, the red edge effect is weakly discernible over floating algae, contrasting with robust signals detected by and using both hyperspectral and MODIS 250×250m observations over Trichodesmium mats. As suggested by these authors, spectral sensors with 1 km resolution are inappropriate to capture floating Trichodesmium due to negligible signal from discrete mats once mixed with adjacent water in 1×1km cells. The middle and bottom rows of Fig. 4 present Rrc and Rrs spectra interpolated to 250 m and partitioned in Type i and Type ii (middle row and bottom row, respectively). For Type i, it is noteworthy that the red edge signal is well captured in the NIR region at 859 nm, a MODIS land band with true 250 m resolution, while in the 758 and 896 nm bands the derived signals using bilinear interpolation are still low. One can notice that, after application of the NIR atmospheric correction, the shape of the mean Rrs spectra remains similar to that of Rrc, minus an offset in the visible region, corresponding to subtraction of the flawed aerosol contribution (compare Fig. 4c with Fig. 4d). Derived Rrs values at 748 and 869 nm are set to zero, as a result of the black pixel approximation.

For Type ii, the red-edge effect totally disappears from the true 250 m band at 859 nm and the derived baseline 758–869 nm appears above Rrc (and Rrs) at 859 nm. Hu (2009) had already noticed this issue for pixels with strong spatial gradients in the NIR part of the spectrum. It is interpreted as a result of the bilinear interpolation of 758 and 869 nm bands from 1 km to 250 m, using information from adjacent 1 km pixels.

Figure 5Trichodesmium mat detection results on MODIS tile “A2007290.0355”. (a) Detected pixels with the McKinna modified algorithm in red; (b) FAI value of detected pixels with the FAI algorithm; (c) pixels detected with the new algorithm, and color represents the Rrs(678) absolute value of the detected pixels. Cloud pixels are in grey.

Unfortunately, in the visible region, there is little useful information to capture Trichodesmium with Rrc (or Rrs) spectra interpolated to 250 m, in both Type i and Type ii situations. In Trichodesmium blooms, a release of dissolved colored substance was observed, as suggested by for coastal waters. For oligotrophic waters studied here, there was no such absorption in the blue region (412 nm) due to possible dissolved colored substances. Other characteristic features due to absorption maxima around 495 and 550 nm caused by the presence of phycourobilin and phycoerythrobilin, respectively (see Fig. 5 in ), are not seen using the 600 spectra-composite spectrum. Finally, the only robust spectral feature in the visible range is a minimum in Rrc (and Rrs) occurring at 678 nm, due to increasing reflectance beyond 700 nm.

Interestingly, comparison between Rrc and Rrs shows that standard deviation error bars are much smaller for Rrc reflectances while the range of magnitudes in between wavelengths is larger. This is a significant argument for using Rrc instead of Rrs, as it would lead to a better discrimination of Trichodesmium mat spectra against other spectra.

## 3.4 Two published algorithms

Among the existing Trichodesmium mat detection algorithms, only the and ones were designed for the MODIS sensor and were tested in this study. The other algorithms were ignored as they were not adaptable to the MODIS sensor or would give erroneous results due to Chl a misestimation over Trichodesmium mats.

The Trichodesmium mat detection algorithm of is based on four criteria relative to the shape of Rrs (given in the Appendix A). When applied to the same MODIS image (new collection) as the one used by , more pixels were discarded due to the fourth criterion, which eliminated pixels with negative normalized water-leaving radiance (nLw) at 555, 645, 678, or 859 nm. Indeed, the test of a negative Rrs value at 678 nm due to aerosol overcorrection excludes many pixels. Other atmospheric corrections, including that of used by , have been applied with the same results. Skipping the fourth criterion of the algorithm allowed us to match the results of . Therefore, this modification was adopted for the present study and the algorithm is called McKinna modified in the following.

The Trichodesmium detection algorithm presented in is based on a two-step analysis of Rrc spectra. The first step captures floating algae with FAI. The second step resolves the ambiguities between Trichodesmium and Sargassum by analyzing spectral features in the blue–green region. To overcome possible spectral influence due to inappropriate atmospheric correction, proposed a simple correction method based on the difference in Rrc spectra between a bloom and nearby algae-free region. After several tries on the data presented above, the second step was found to be sensitive to the choice of the algae-free region (not shown). Thus, the detection was made only by applying thresholds to FAI. After tuning, the best results were obtained when FAI was between 0 and 0.04.

## 3.5 New algorithm criteria

Our criteria for detecting Trichodesmium mats were defined based on spectral characteristics of Rrs and Rrc (Fig. 4). Similar to the algorithms of and (see Appendix), three criteria given in Eqs. (1)–(3) were defined to extract the typical spectrum shape of Trichodesmium. The first criterium (Eq. 1) takes advantage of the systematic negative Rrs values at 678 nm over strong Trichodesmium mat concentrations. All pixels with a negative Rrs value at this wavelength have a high probability of being floating algae and thus Trichodesmium in this region. Moreover, this criterium can also be used to detect some artifacts, e.g., sun glint.

The second criterium (Eq. 2) is based on Rrc(748) and Rrc(859) to detect the spectral shape in the NIR associated with the surface Trichodesmium mats. The third criterium (Eq. 3) uses Rrc(645) and Rrc(531) to resolve ambiguities between Trichodesmium mats and incorrectly selected pixels after processing with the previous criteria, the misdetections occurring mostly near clouds (Eq. 3).

$\begin{array}{}\text{(1)}& & {R}_{\mathrm{rs}}\left(\mathrm{678}\right)<\mathrm{0}\text{(2)}& & {R}_{\mathrm{rc}}\left(\mathrm{748}\right)<{R}_{\mathrm{rc}}\left(\mathrm{859}\right)\text{(3)}& & {R}_{\mathrm{rc}}\left(\mathrm{645}\right)<{R}_{\mathrm{rc}}\left(\mathrm{531}\right)\end{array}$

Figure 6MODIS tile “A2007290.0355” zoom of the red square area (24 S, Fig. 5). Pixels resulting from a false positive detection of (a) the McKinna modified algorithm, (b) FAI, and (c) the new algorithm for the area in red in Fig. 5. Cloud pixels are in grey.

4 Results

## 4.1 Comparison with previous algorithms

The detection results of the three Trichodesmium detection algorithms are illustrated in Fig. 5 on the MODIS tile A2007290.0355, used in . The McKinna modified algorithm shows the same detection patterns as the ones found in . It is a vast Trichodesmium area within which the filamentous structures cannot be distinguished. The new algorithm and the threshold FAI detect thin filamentous structures more similar to Trichodesmium mat structures observed in airborne photographs. When negative, the absolute value of Rrs(678) can also be used as an index of mat concentrations as values increase when getting to the core of patches.

Compared with both former algorithms, the new algorithm performs much better near clouds. Figure 6 is a zoom of the area delineated by the red rectangle in Fig. 5. This area presents a cloud patch in which McKinna modified and FAI algorithms both detect Trichodesmium pixels. These pixels were identified as false positives as their spatial distribution is sparse and only in the vicinity of clouds. This conclusion is also supported by the true color composition (Fig. 2) for which the only Trichodesmium mats appear located at the bottom of the image. In that area the new algorithm does not make any false positive detection while keeping the Trichodesmium mats at the bottom of the image. The robustness of the new detection algorithm to exclude cloud-contaminated pixels while keeping accurate Trichodesmium mat detection is an important improvement for regions with high cloudiness, such as the WTSP.

## 4.2 Algorithm performance against in situ mat observations

The exact coincidence in time and space between in situ Trichodesmium mat observations and satellite mat detection is quite difficult to reach in general. One of the main reasons is the cloud cover, which eliminates a large quantity of the possible comparisons (90 %). A second reason is the elapsed time between in situ observations and the corresponding satellite pass during which the floating algae could have drifted at sea surface and/or migrated vertically depending on sea conditions (temperature, wind, etc.). For example, the abundance of Trichodesmium at the sea surface may vary with the time of day, as a daily cycle of rising and sinking colonies in the water column is often observed as a result of cell ballasting . Moreover, as Trichodesmium is a buoyant constituent, it can be advected by surface currents.

To circumvent that problem and perform a more statistically robust comparison of the detection results of our algorithm with in situ data, we used the following strategy. An analysis of the spatiotemporal distance between the in situ observations and the nearest detected mats was conducted. As explained previously, for each day in a range of ±4 days around the date of observation, the spatial distance between the position of the observation and the nearest detected mat was computed. Overall, 80 % of the observed mats have a corresponding mat detection within a less than 5 km range independent of the detection algorithm used. These results demonstrate the statistical capability of the new algorithm to retrieve a mat near a point of observation.

## 4.3 Algorithm application for the OUTPACE cruise

The new algorithm was applied to MODIS data acquired during the OUTPACE cruise time. A total of 140 tiles at 250 m resolution covered the time period 15 February–7 April 2015 and the spatial area of the cruise. Due to high cloud cover during the cruise, only a few tiles were exploitable. Trichodesmium mats were detected from 12 MODIS Aqua and three MODIS Terra tiles. Figure 7b shows the detected mats over these tiles (in blue). Note that the OUTPACE cruise actually crossed a number of Trichodesmium satellite detections. In order to further illustrate the results, a crude qualitative presence–absence scheme was applied to better visualize which OUTPACE stations were coincident with the algorithm positive detection. We selected areas within 50 km of each OUTPACE station and labeled the station presence when there was at least 1 pixel detected as positive in the satellite algorithm. In Fig. 7b, the red points indicate presence and blue points absence.

Trichodesmium mats were mostly observed visually northeast of New Caledonia 1 week before the cruise and during the first days of the cruise (onboard observation) by video and photographs. No other mats were observed during the rest of the cruise, but there was not any dedicated observer who would actually permit such visual observation, unlike during the (REMMOA) campaigns. Nevertheless, Underwater Vision Profiler 5 (UVP5) counts of colonies and phycoerythrin and trichome concentrations along the transect show that Trichodesmium contribution was maximum in the Melanesian Archipelago, i.e., the western part of the transect, where slicks are numerous, and then fairly well related to Trichodesmium concentrations in the upper layer . The other high spot of mats detected in the satellite imagery is at LDB (station name in OUTPACE), where no slick was observed but where Trichodesmium was in high concentration, although mixed with a high abundance of picoplanktonic cyanobacteria .

reported a significant (p<0.05) correlation between N2 fixation rates and Trichodesmium abundances during OUTPACE. Based on bulk and cell-specific N2-based isotopic measurements, Trichodesmium accounted for 50 to >80 % of N2 fixation rates in this region at the time of the cruise. Such a high correlation between Trichodesmium biomass (here phycoerythrin) was also measured in New Caledonia waters . Hence, the in situ N2 fixation rate measured during the cruise (Fig. 7a) was used as a robust proxy of the Trichodesmium concentration to further evaluate accuracy of satellite detections. A qualitative comparison between Fig. 7a and b indicates that when significant fixation rates were observed, Trichodesmium presence was detected by the satellite algorithm and when N2 fixation rates were low, Trichodesmium absence was stated. Although qualitative, this successful validation gives confidence in using our algorithm for Trichodesmium detection.

Figure 7(a) Background is the monthly composite of satellite chlorophyll for March 2015, with the corresponding chlorophyll a concentrations given by the color bar underneath the map. Superimposed colored dots are in situ fixation rates measured on the OUTPACE track with values given by the left color bar. (b) In the background, cyan pixels are pixels detected as Trichodesmium by our algorithm. The colored dots superimposed show the absence (blue) or presence (red) of detected pixels within a radius of 50 km around OUTPACE stations.

5 Discussion

## 5.1 Algorithm limitations

The proposed algorithm was designed to detect strong concentrations of floating Trichodesmium mats and limit wrong detections. However, floating Trichodesmium mats occur when the sea surface is not very agitated since they tend to sink and disperse in rough conditions. In such a case our algorithm does not allow the detection of Trichodesmium even at strong concentrations because of the low penetration depth of NIR irradiance (below 1 m). This situation occurred during the OUTPACE cruise, for which measurements reveal high Trichodesmium abundances near the Fiji island , while our algorithm was unable to detect Trichodesmium mats (Fig. 7, stations adjacent 180 E).

Another limitation concerns the validity of the new algorithm for future MODIS collections and other regions. The first criterion is taking advantage of the aerosol overcorrection as an index of floating algae. The aerosol correction algorithm will certainly be adapted in the future. Thus, the first criterion would have to be replaced by another floating algae index; the FAI could be a good solution. However, it will always be possible to use the current (imperfect) aerosol correction. Moreover, the zero threshold on Rrs(678), under which the pixel is labeled as a Trichodesmium mat, would have to be tested and tuned in other situations, e.g., in the presence of aerosols and other floating material. This study was carried out in the WTSP area, where the observed spectra seem slightly different from the ones reported in and . More specifically, the spectral oscillations of reflectance observed by in the range [412, 678] nm were not noticed in the present study. Therefore, the robustness of this algorithm in the presence of other floating algae (e.g., Sargassum), as well as in other regions of the world, would have to be tested to make it more general.

This study was limited to the processing of MODIS images, mainly because of the availability of images corresponding to field measurements (2014 and before). However, it would be worth extending the detection algorithm to other sensors such as MERIS, e.g., for comparison with the algorithm, and the recently launched Ocean and Land Colour Instrument (OLCI). This would require further investigations to adapt the algorithm to the specific bands of these sensors and evaluate the results. However, since these sensors cover the same spectral range, one can expect a quite similar behavior.

Aware of these limitations, one may consider using Rrc only since Rrs is sensitive to the accuracy of the atmospheric correction. To emulate an index of mat concentrations, Eq. (4) is proposed in place of Eq. (1). The magnitude of the trough at 678 nm is an indication of the mat concentrations, which can be retrieved using the difference between the observed Rrc(678) and the result of the linear Rrc interpolation between 645 and 748 nm. In the following, To confirm the trough at 678 nm, check the spectral form typical to Trichodesmium (Fig. 4) and assess the red edge of the signal, Eqs. (5)–(7), similar to the form criteria of , could be used.

$\begin{array}{ll}& \left[{R}_{\mathrm{rc}}\left(\mathrm{645}\right)+\left({R}_{\mathrm{rc}}\left(\mathrm{748}\right)-{R}_{\mathrm{rc}}\left(\mathrm{645}\right)\right)\right\\ \text{(4)}& & \phantom{\rule{1em}{0ex}}×\frac{\mathrm{678}-\mathrm{645}}{\mathrm{748}-\mathrm{645}}]-{R}_{\mathrm{rc}}\left(\mathrm{678}\right)>\mathrm{0}\text{(5)}& & {R}_{\mathrm{rc}}\left(\mathrm{678}\right)<{R}_{\mathrm{rc}}\left(\mathrm{859}\right)\text{(6)}& & {R}_{\mathrm{rc}}\left(\mathrm{678}\right)<{R}_{\mathrm{rc}}\left(\mathrm{748}\right)\text{(7)}& & {R}_{\mathrm{rc}}\left(\mathrm{678}\right)<{R}_{\mathrm{rc}}\left(\mathrm{667}\right)\end{array}$

This alternative algorithm has the advantage of being easily adaptable to other sensors with similar spectral bands (e.g., MODIS). Moreover, the procedure is free of atmospheric overcorrection while still exploiting the red-edge effect. However, in its application, a large number of pixels detected as Trichodesmium by the former algorithm (i.e., described in Sect. 3.5) are discarded. The different criteria cannot be relaxed without a false positive detection increase. Therefore, this alternative algorithm is more restrictive, and its suitability and performance require further examination.

## 5.2 Spatial resolution impact

As indicated previously, only a few spectral bands (land channels) have a high resolution (250 or 500 m), while the rest have a nominal resolution at 1 km. To investigate the influence of resolution on the spectral signature of Trichodesmium mats, the spectral analysis was also conducted at a 1 km resolution. Dense groups of extended mats are still well detected at 1 km resolution. However, thinner mats with a weaker signal visible at 250 m resolution are lost at 1 km resolution. Figure 8 illustrates this behavior for MODIS data.

The spatial structure of Trichodesmium aggregates is complex. When mats are present, Trichodesmium have a tendency to form a filamentous pattern much narrower than 250 m (50 m at most, according to visual detections), and thus the satellite sensor at 250 m resolution can only detect the largest ones (Figs. 8 and 9). Hence, there is a scale mismatch between the exact form of the thin filaments and the actual detection by the current satellite data, which must in a way average the thin and strongest filaments into signals detectable at 250 m. Understanding the shape of the filaments and their physical characteristics (e.g., width) will require much higher-resolution satellite data (at least 50 m), which are available at present but without repetitive coverage. Figure 9 additionally illustrates that the Trichodesmium filaments are but a tiny part of the chlorophyll tongues and are inserted into the much wider chlorophyll patterns. There can be, within a chlorophyll tongue such as that in Fig. 9, several thin elongated filaments.

Figure 8FAI application to the MODIS tile “A2007290.0355”: zoom of the area in the green square (22.5 S, Fig. 5). (a) Results at 250 m resolution; (b) the same scene at 1 km resolution. Only a few pixels remain, corresponding to the densest part of the surface mat, showing the loss of detected mats.

Figure 9MODIS Aqua image at 250 m taken on 6 March 2015 to the south of the OUTPACE cruise, illustrating the structure of the chlorophyll (colors) together with the filaments of Trichodesmium detected by our algorithm (in black). Cloud pixels are in white.

One would also intuitively believe that the filaments illustrate the presence of dynamical fronts where convergent dynamics can maintain and participate in the mat aggregations. A natural dynamical criteria allowing one to characterize the presence of the filaments could be found in the finite-size Lyapunov exponent (FSLE) methods . A relationship between FSLE only and in situ chlorophyll edge “fronts” was found during OUTPACE with a 25 % correlation score. The same kind of relationship was expected for floating algae filaments. However, the relationship between FSLE and the organization of the filaments could not be proven within this study. We believe that it is also a question of scale here. The present calculation of FSLE is uses 12.5 km satellite data at best ; thus it is difficult to think that such a resolution could catch dynamics Trichodesmium filaments wide of a few hundred meters. A dedicated in situ experiment would have to be specifically undertaken to resolve the question of filament organization.

6 Conclusions and perspectives

At present, previously published algorithms detecting Trichodesmium using the current MODIS data archive cannot be directly used in the South Pacific as they either miss the mats due to algorithm failures (Sect. 3.4) and/or do not eliminate numerous false positives in the presence of clouds. In our study, we have devised a new algorithm building on the previous ones, which allows a cleaner and more robust detection of those mats. Validation was accomplished using a new, updated database of mats in the South Pacific. This algorithm can however only detect the densest slick but achieves the goal of limiting the detection of false positive due to clouds. During the OUTPACE cruise, satellite detections confirmed the presence of Trichodesmium slicks at a much wider spatial range than what was possible to observe from the ship. This illustrates the important contribution and complementary nature of satellite observations to in situ measurements. Yet, the new detection algorithm was developed and evaluated for the WTSP region. Hence, future prospects will be to extend the evaluation to other regions, especially in the presence of other floating algae such as Sargassum.

During the same campaign found that ocean color measured with a Satlantic UV–VIS radiometer at greenish blue and yellowish green wavelengths was not totally linked to Chl a and that an extra factor independent of Chl a, maybe related to colony backscattering or fluorescence, governs part of the variability. This extra factor is not observed during BIOSOPE (Biogeochemistry and Optics South Pacific Experiment), a cruise in the tropical Southern Pacific gyre , where the radiance is correlated to Chl a only. Further investigations have to be conducted to confirm that such a signal is produced by Trichodesmium and can be detected from space.

MODIS Terra and MODIS Aqua satellite sensors have been acquiring data since 2000 and 2002, respectively. However, the data quality of these sensors is becoming more and more uncertain with time, as their lifetime was not expected to last more than 6 years. The new algorithm could be adapted to other satellite instruments with similar spectral bands, for example the Visible Infrared Imaging Radiometer Suite (VIIRS) onboard NPP and JPSS-1/NOAA-20 (1 km resolution) and OLCI onboard Sentinel-3 (300 m spatial sampling), but the spatial resolution remains a problem as we observed that 250 m was already too coarse a resolution to understand the thinner mat dynamics. A study with better spectral and spatial resolution may lead to better performances and to a new and better algorithm. This may be possible, at least regarding spatial resolution, with the Multispectral Instrument (MSI) onboard the Sentinel-2 series (10 to 60 m resolution).

It has previously been documented that near dense Trichodesmium mats some satellite products like the satellite chlorophyll concentration are inaccurate. In order to better constrain the contribution of Trichodesmium to nitrogen and carbon biogeochemical cycles, this algorithm must be corrected. Using Rrc instead of Rrs is possible (Sect. 5.1), but some adjustments and comparisons with in situ measurements must first be carried out. Globally such an algorithm would allow one to estimate the Trichodesmium amount aggregated in sea surface mats. The next step is to understand the quantitative aspect linking the Trichodesmium abundances to N2 fixation rates, including their vertical distribution even when Trichodesmium filaments/colonies are spread out in the water column. Another important field of interest is to be able to understand phytoplankton functional types using satellites including Trichodesmium . At present, we do not know any such study that included Trichodesmium but we have hopes that with our new in situ database and our understanding of the mat shapes detected in the present study, and the development of performing statistical methods such as machine learning, advances can be made in that regard, a prospect for future work.

Finally, explore the regional and seasonal budget of the N2 fixation due to Trichodesmium in a numerical model based on physical and biogeochemical properties that does not take into consideration the spatial characteristic of Trichodesmium colonies to aggregate in mats. One interesting aspect will be to find a way to integrate our results into such a model to better estimate the regional effects of that species.

Data availability
Data availability.

Satellite data are publicly accessible at https://oceandata.sci.gsfc.nasa.gov/ (NASA Goddard Space Flight Center, 2014). Data from the OUTPACE cruise under the PI responsibilities (described at http://www.obs-vlfr.fr/proof/php/outpace/outpace.php, INSU/CNRS LEFE CYBER, 2017). Access to the data is available with PI permission. REMMOA database available only with private access; a request should be acquired from Sophie Laran or Vincent Ridoux (slaran@univ-lr.fr, vincent.ridoux@univ-lr.fr). French Navy and other Trichodesmium observations accessible at https://doi.org/10.5194/bg-8-3631-2011 ().

Appendix A: McKinna et al. (2011) algorithm

The algorithm is based on the analysis of the above-water reflectance spectrum of a moderate Trichodesmium mat, similar to the one measured on colonies in a small dish with an Ocean Optics spectroradiometer . It uses typical spectral characteristics of the normalized water-leaving radiance (nLw) after atmospheric correction to define four Trichodesmium detection criteria. The first three criteria relate to the shape of the spectrum and the last criterion discards any pixel with negative nLw. When these four criteria are respected the pixel is identified as revealing the presence of Trichodesmium.

$\begin{array}{}\text{(A1)}& & \mathrm{nLw}\left(\mathrm{859}\right)>c\mathrm{1}.\mathrm{nLw}\left(\mathrm{678}\right)\text{(A2)}& & \mathrm{nLw}\left(\mathrm{645}\right)>\mathrm{nLw}\left(\mathrm{678}\right)\text{(A3)}& & \mathrm{nLw}\left(\mathrm{555}\right)>\mathrm{nLw}\left(\mathrm{678}\right)\text{(A4)}& & \mathrm{nLw}\left(\mathrm{555}\right),\mathrm{nLw}\left(\mathrm{645}\right),\mathrm{nLw}\left(\mathrm{678}\right),\mathrm{nLw}\left(\mathrm{859}\right)<\mathrm{0}\end{array}$
Appendix B: Hu et al. (2010) algorithm

The detection algorithm, originally developed by (Hu, 2009) for floating algae, can be applied to Trichodesmium mats, as demonstrated by on MODIS Aqua images of the west coast of Florida and the Gulf of Mexico, even though the Trichodesmium mats occurred in Case 2 waters. This algorithm can be decomposed into two steps: (1) detection of floating algae (FAI, floating algae index), and (2) test-of-form criteria of the radiance spectrum.

The FAI aims to detect the strong reflectance in the infrared (red edge) of the algal agglomerate. To avoid the atmospheric overcorrection linked to the red-edge effect of the floating algae organized in a heap (Hu, 2009), the calculation of this index is applied to reflectance corrected only for the effects of Rayleigh scattering (Rrc). This correction accounts for the major part of the color of the atmosphere if aerosols are not too abundant (i.e., small optical thickness). The FAI is then defined as the difference between Rrc in the infrared (859 nm for MODIS) and a reference reflectance (Rrc,0) calculated using linear interpolation between the red and shortwave infrared, i.e., 667 and 1240 nm for MODIS:

$\begin{array}{}\text{(B1)}& & {R}_{\mathrm{rc},\mathrm{NIR}}+\left({R}_{\mathrm{rc},\mathrm{SWIR}}-{R}_{\mathrm{rc},\mathrm{RED}}\right)×\frac{{\mathit{\lambda }}_{\mathrm{NIR}}-{\mathit{\lambda }}_{\mathrm{RED}}}{{\mathit{\lambda }}_{\mathrm{SWIR}}-{\mathit{\lambda }}_{\mathrm{RED}}},\text{(B2)}& & {\mathit{\lambda }}_{\mathrm{RED}}=\mathrm{645}\phantom{\rule{0.125em}{0ex}}\mathrm{nm},{\mathit{\lambda }}_{\mathrm{NIR}}=\mathrm{859}\phantom{\rule{0.125em}{0ex}}\mathrm{nm},{\mathit{\lambda }}_{\mathrm{SWIR}}=\mathrm{1240}\phantom{\rule{0.125em}{0ex}}\mathrm{nm},\end{array}$

where RED = 645 nm, NIR = 859 nm, and SWIR = 1240 nm. According to , the difference between Rrc and Rrc,0 (the second term of Eq. B1) allows one to deal with the majority of the atmospheric effect, which has a quasi-linear spectral shape between 667 and 1240 nm. The second step of the algorithm consists in identifying the mats emphasized by the FAI thanks to the shape of the spectrum in the visible domain. So as to correct the bias inferred in the visible part of the spectrum by the possible presence of mats, suggest applying the correction of an area situated immediately next to this pixel and without bloom to the pixels presenting a strong FAI value. This approach being very computer expensive, it is substituted by a simple difference between the Rrc spectrum of the pixels considered (i.e., eventually with Trichodesmium) and that of a nearby zone without mat. The spectrum of this Rrc difference presents a pattern (spectral signature) that seems to be specific to Trichodesmium presence, i.e., a succession of high-type low–top–low–top for the wavelengths 469–488–531–551–555 nm.

Author contributions
Author contributions.

GR conceived the study. FDB, CEM, JL, and RF provided technical support. VR and SL provided the REMMOA data. MR, SB, and CD participated in the collection and analysis of samples. GR and FDB wrote the manuscript with contributions from CEM, JL, RF, SB, and CD.

Competing interests
Competing interests.

The authors declare that they have no conflict of interest.

Special issue statement
Special issue statement.

This article is part of the special issue “Interactions between planktonic organisms and biogeochemical cycles across trophic and N2 fixation gradients in the western tropical South Pacific Ocean: a multidisciplinary approach (OUTPACE experiment)”. It is not associated with a conference.

Acknowledgements
Acknowledgements.

Robert Frouin is supported by the National Aeronautics and Space Administration under various grants. We thank NASA for the MODIS products.

Edited by: Thierry Moutin
Reviewed by: two anonymous referees

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