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PLEASE SCROLL DOWN FOR ARTICLE This article was downloaded by: [Morozov, Evgeny] On: 15 December 2010 Access details: Access Details: [subscription number 931201142] Publisher Taylor & Francis Informa Ltd Registered in England and Wales Registered Number: 1072954 Registered office: Mortimer House, 37- 41 Mortimer Street, London W1T 3JH, UK International Journal of Remote Sensing Publication details, including instructions for authors and subscription information: http://www.informaworld.com/smpp/title~content=t713722504 A new area-specific bio-optical algorithm for the Bay of Biscay and assessment of its potential for SeaWiFS and MODIS/Aqua data merging Evgeny Morozov ab ; Anton Korosov ac ; Dmitry Pozdnyakov ac ; Lasse Pettersson c ; Vitaly Sychev b a Nansen International Environmental and Remote Sensing Center, St. Petersburg, Russia b Russian State Hydrometeorological University, Malookhtinsky Prospect, 98, St. Petersburg, Russia c Nansen Environmental and Remote Sensing Center, Thormølhensgate 47, Bergen, Norway Online publication date: 14 December 2010 To cite this Article Morozov, Evgeny , Korosov, Anton , Pozdnyakov, Dmitry , Pettersson, Lasse and Sychev, Vitaly(2010) 'A new area-specific bio-optical algorithm for the Bay of Biscay and assessment of its potential for SeaWiFS and MODIS/Aqua data merging', International Journal of Remote Sensing, 31: 24, 6541 — 6565 To link to this Article: DOI: 10.1080/01431161.2010.508802 URL: http://dx.doi.org/10.1080/01431161.2010.508802 Full terms and conditions of use: http://www.informaworld.com/terms-and-conditions-of-access.pdf This article may be used for research, teaching and private study purposes. Any substantial or systematic reproduction, re-distribution, re-selling, loan or sub-licensing, systematic supply or distribution in any form to anyone is expressly forbidden. The publisher does not give any warranty express or implied or make any representation that the contents will be complete or accurate or up to date. The accuracy of any instructions, formulae and drug doses should be independently verified with primary sources. The publisher shall not be liable for any loss, actions, claims, proceedings, demand or costs or damages whatsoever or howsoever caused arising directly or indirectly in connection with or arising out of the use of this material.

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Page 1: International Journal of Remote Sensing A new area ... · EVGENY MOROZOV*†‡, ANTON KOROSOV†§, DMITRY POZDNYAKOV†§, LASSE PETTERSSON§ and VITALY SYCHEV‡ †Nansen International

PLEASE SCROLL DOWN FOR ARTICLE

This article was downloaded by: [Morozov, Evgeny]On: 15 December 2010Access details: Access Details: [subscription number 931201142]Publisher Taylor & FrancisInforma Ltd Registered in England and Wales Registered Number: 1072954 Registered office: Mortimer House, 37-41 Mortimer Street, London W1T 3JH, UK

International Journal of Remote SensingPublication details, including instructions for authors and subscription information:http://www.informaworld.com/smpp/title~content=t713722504

A new area-specific bio-optical algorithm for the Bay of Biscay andassessment of its potential for SeaWiFS and MODIS/Aqua data mergingEvgeny Morozovab; Anton Korosovac; Dmitry Pozdnyakovac; Lasse Petterssonc; Vitaly Sychevb

a Nansen International Environmental and Remote Sensing Center, St. Petersburg, Russia b RussianState Hydrometeorological University, Malookhtinsky Prospect, 98, St. Petersburg, Russia c NansenEnvironmental and Remote Sensing Center, Thormølhensgate 47, Bergen, Norway

Online publication date: 14 December 2010

To cite this Article Morozov, Evgeny , Korosov, Anton , Pozdnyakov, Dmitry , Pettersson, Lasse and Sychev, Vitaly(2010)'A new area-specific bio-optical algorithm for the Bay of Biscay and assessment of its potential for SeaWiFS andMODIS/Aqua data merging', International Journal of Remote Sensing, 31: 24, 6541 — 6565To link to this Article: DOI: 10.1080/01431161.2010.508802URL: http://dx.doi.org/10.1080/01431161.2010.508802

Full terms and conditions of use: http://www.informaworld.com/terms-and-conditions-of-access.pdf

This article may be used for research, teaching and private study purposes. Any substantial orsystematic reproduction, re-distribution, re-selling, loan or sub-licensing, systematic supply ordistribution in any form to anyone is expressly forbidden.

The publisher does not give any warranty express or implied or make any representation that the contentswill be complete or accurate or up to date. The accuracy of any instructions, formulae and drug dosesshould be independently verified with primary sources. The publisher shall not be liable for any loss,actions, claims, proceedings, demand or costs or damages whatsoever or howsoever caused arising directlyor indirectly in connection with or arising out of the use of this material.

Page 2: International Journal of Remote Sensing A new area ... · EVGENY MOROZOV*†‡, ANTON KOROSOV†§, DMITRY POZDNYAKOV†§, LASSE PETTERSSON§ and VITALY SYCHEV‡ †Nansen International

A new area-specific bio-optical algorithm for the Bay of Biscay andassessment of its potential for SeaWiFS and MODIS/Aqua data merging

EVGENY MOROZOV*†‡, ANTON KOROSOV†§,

DMITRY POZDNYAKOV†§, LASSE PETTERSSON§ and VITALY SYCHEV‡

†Nansen International Environmental and Remote Sensing Center, 14th Line 7, 199034,

St. Petersburg, Russia

‡Russian State Hydrometeorological University, Malookhtinsky Prospect, 98, 195196,

St. Petersburg, Russia

§Nansen Environmental and Remote Sensing Center, Thormølhensgate 47, N-5006,

Bergen, Norway

(Received 26 December 2009; in final form 26 May 2010)

Based on a feed-forward and error-back-propagated neural network (NN), a new

bio-optical algorithm is developed for the Bay of Biscay. It is designed as a set of

NNs individually dedicated to the retrieval of the phytoplankton chlorophyll (chl),

and total suspended matter (tsm) from Sea-viewing Wide Field-of-View Sensor

(SeaWiFS) and Moderate Resolution Imaging Spectroradiometer (MODIS) Aqua

data. The retrieved versus in situ measured concentrations of chl and tsm correla-

tion coefficients for chl proved to be ,0.8 (SeaWiFS) and 0.72 (MODIS), and for

tsm 0.71 (SeaWiFS) and 0.74 (MODIS). The developed NN-based bio-optical

algorithms are employed to assess the compatibility of SeaWiFS and MODIS

data on chl and tsm in the coastal zone of the Bay of Biscay (case 2 waters). The

value of the ratio between the concentration of chl and tsm derived from the same-

day SeaWiFS and MODIS data (the overflight time difference, �t is �2.5 hours)

has in most cases values of approximately 1, however, in specific cases it varies

appreciably. These results indicate that, unlike the reportedly very successful cases

of merging of SeaWiFS and MODIS data on chl in open ocean waters (case 1

waters), the merging of chl (and tsm) data from these sensors collected over case 2

waters needs to be supervised at a level of a few pixels. At the same time, when

averaged over the entire coastal zone of the Bay of Biscay, the retrieved monthly

mean chl and tsm concentrations from SeaWiFS and MODIS practically coincide

throughout the years (2002–2004) of contemporaneous operation of these two

satellite sensors. Thus, even in the case of such dynamic and optically complex case

2 waters that are inherent in the Bay of Biscay, the potentials for ocean colour data

merging are very good. The merging efficiency is assessed and illustrated via

documenting the spatio-temporal dynamics of bottom sediment re-suspension in

the bay occurring in winter – the season of heaviest cloudiness over the bay.

1. Introduction

The Sea-viewing Wide Field-of-View Sensor (SeaWiFS), the Moderate Resolution

Imaging Spectroradiometer (MODIS) and the Medium Resolution Imaging

Spectrometer (MERIS) are the Earth Observing (EO) Sun-synchronous orbiting

*Corresponding author. Email: [email protected]

International Journal of Remote SensingISSN 0143-1161 print/ISSN 1366-5901 online # 2010 Taylor & Francis

http://www.tandf.co.uk/journalsDOI: 10.1080/01431161.2010.508802

International Journal of Remote Sensing

Vol. 31, No. 24, 20 December 2010, 6541–6565

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systems currently providing the capability of globally mapping quantities such as the

concentration of chlorophyll, chl (a proxy for phytoplankton biomass), or seawater

inherent optical properties such as bulk water absorption and backscattering.

Any individual ocean colour mission is limited in ocean coverage due to insufficient

revisiting frequency and gaps between the swaths, cloud cover and sunglint. As aresult, the spatial and temporal resolutions of ocean colour data provided by a single

sensor are generally insufficient to faithfully reflect the intrinsic variability in hydro-

biological processes. Besides, the life-time of ocean colour sensors is rather limited

precluding the generation of data time-series long enough to draw climatically mean-

ingful data.

Merged data provided by different coexisting or sequential ocean colour sensors

would be a solution to this problem. Ideally, data merging can reduce both random

errors by increasing the number of measurements and systematic trends by sensorinter-calibrations and cross-calibrations (IOCCG 2007). In this case, ocean-colour

data merging can support a wide variety of users and applications with their specific

requirements with respect to accuracy, statistical confidence, spatial and temporal

resolution and coverage.

However, individual sensors view the ocean at different times and geometries.

Moreover, the data are collected in different spectral channels having sensor-specific

sensitivities and noise-to-signal ratios. In addition, agencies supporting the operation

of their ocean colour sensors provide the output data differently corrected for theatmospheric effects and processed with different retrieval algorithms.

At the same time, the merging approach is only meaningful if it yields data streams

consistently and seamlessly in space and time.

One of the straightforward ways to explore the potentials of ocean colour merging

is an objective assessment of consistency of the ocean colour product retrievals from a

pair of sensors. Such a comparison provides a broad insight into the levels of

uncertainty that can be expected for the ocean colour record as a whole. This

approach is particularly justified for such co-existing sensors as SeaWiFS andMODIS having practically identical spectral channels, close radiometric character-

istics, and equal spatial resolution (,1 km). Operated by one and the same space

agency, the National Aeronautics and Space Administration (NASA), both sensors

produce ocean colour products after application of the same atmospheric correction

procedure. The standard ocean colour products provided by both sensors are gener-

ated with the retrieval algorithms, which only slightly differ in the employed

wavelengths.

It is widely recognized that the NASA standard retrieval algorithms (band-ratiosemi-empirical parameterizations) are most efficient for data collected over vast tracts

of case 1 waters, that is, optically simple open ocean waters, whose colour variations are

driven by spatial and temporal inhomogeneity of phytoplankton with a minor con-

tribution of their accompanying and co-varying material of biological origin (O’Reilly

et al. 1998, IOCCG 2000). For case 1 waters there are several intercomparisons of sea

surface phytoplankton chlorophyll (chl) concentrations showing that SeaWiFS and

MODIS data generally compare well, although with some discrepancies being most

pronounced at times of intensive blooming events (see Morel et al. (2007) and anextensive report by Djavidnia et al. (2006)). Reports from Bailey and Werdell (2006)

and Kwiatkowska and McClain (2009) are indicative that ‘SeaWiFS chl-a concentra-

tions are potentially 9% higher than simultaneous data from MODIS Aqua’

(Kwiatkowska and McClain 2009, p. 6455) for deep oceans.

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However, such comparisons are fairly scarce for coastal and other optically-

complex waters (Kosmicki et al. 2005, Zhang et al. 2006, Zibordi et al. 2006,

Folkestad et al. 2007, Hu et al. 2007, Dogliotti et al. 2009, Werdell et al. 2009), the

so-called case 2 waters, in which the water colour variations are generally driven not

only by phytoplankton variations, but also by variations in co-existing inorganicsuspended matter and dissolved organics whose presence in the water can be very

substantial. The concentrations of chl, suspended minerals and dissolved organics in

case 2 waters are not necessarily correlated, and the actual proportions between these

three components are area- and time-specific.

Being band-ratio algorithms and intended for globe-wide application primarily for

open oceans, the standard NASA bio-optical retrieval algorithms for SeaWiFS and

MODIS (OC4 and OC3) were shown to yield inaccurate results for case 2 waters, on

most occasions providing overestimated concentrations of chl in various parts of theworld’s oceans such as the Iberia-Biscay-Ireland (IBI) Area (Gohin et al. 2002),

Southern China (Zhang et al. 2006), Baltic Sea (Darecki and Stramski 2004),

Chesapeake Bay (Werdell et al. 2009) and many others.

Thus, aiming at combining/merging data on case 2 waters from different contem-

porary ocean colour sensors, such as SeaWiFS and MODIS, it does not appear

meaningful to exploit nearly inevitably inaccurate results yielded by band-ratio algo-

rithms even if the radiometric data from both satellite sensors are compatible,

although the latter supposition itself needs close consideration!Besides, the sole spaceborne information on chl in coastal marine waters/closed seas

is frequently insufficient for characterizing the water quality, and synchronous satel-

lite data on some additional biogeochemical variables such as total suspended matter

(tsm) and coloured dissolved organics (cdom) are highly desirable, also from the

perspective of data merging. Thus, investigation from space of case 2 water bodies

imposes, first of all, the necessity of designing retrieval algorithms based on other

(than mere band-ratio) principles/methodologies. Unavoidably, such algorithms are

bound to be area-specific in order to comply with the indigenous optical properties ofthe water area under investigation (Bukata et al. 1995).

The aforementioned difficulties associated with the investigation from space of case 2

waters prompted the objective of our study: to explore the possibility of application of

satellite sensors SeaWiFS and MODIS data for long-term and operational monitoring

of typical case 2 waters characterized by highly dynamic biology and hydrology

encompassing pronounced discharge of nutrients, organic and inorganic matter by

inflowing rivers, as well as tidal motions, and storm-driven bottom sediment resuspen-

sion events. To attain this goal, first, accurate algorithms for operational simultaneousdetermination of the concentrations of major water colour producing agents (CPAs)

are required. Further, on this basis, a quantitative evaluation of differences between the

CPA concentrations derived from the two sensors’ data must be performed, and finally,

the efficiency of SeaWiFS and MODIS merging can be assessed.

2. Study area

As a target water body, the coastal zone of the Bay of Biscay (the North-East AtlanticOcean) was selected in the present research. The choice of this water body for the

present study was prompted by two main considerations.

First of all, the coastal waters of the Bay of Biscay present a case of an optically

highly heterogeneous aquatic environment due to the numerous rivers discharging

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into the bay and the complex system of water movements driven/conditioned by wind-

action, tidal activity and baroclinic effects, thermo-haline fronts, etc. The riverine

waters on the French coast of the bay are rich in suspended minerals and also contain

some amounts of dissolved organic matter. Nutrients brought in with riverine waters

trigger enhanced algal growth and control the trophic status of the coastal zone(Lampert et al. 2002). Given a highly complex system of water movements, the

hydro-optical fields in the Bay of Biscay in general and the coastal zone in particular

are notably variable in space and time. This certainly presents a serious challenge for

developing adequate bio-optical algorithms for processing spaceborne ocean colour

data, and eventual comparing the results of retrieval from SeaWiFS and MODIS.

The second important motivation for the choice of the Bay of Biscay as a target area

was the availability of an extensive database of water constituent measurements, some

of which is being undertaken concurrently or semi-concurrently with the SeaWiFSand MODIS overflights (the so called in situ match-ups).

We have undertaken a comparison of surface chl and tsm concentrations retrieved

from SeaWiFS and MODIS data. The reduction in the number of analysed CPAs to

only two components was motivated by (i) a reportedly relatively low optical impact

of cdom in these waters, with the exception of strictly riverine waters (F. Gohin, 2009,

personal communication), and, more importantly, (ii) unavailability of respective

match-up in situ data on cdom.

However, the availability (courtesy of the Institut Francais de Recherche pourl’Exploitation de la Mer (IFREMER)) of notably vast in situ datasets of solely chl

and tsm, including hundreds of match-ups for both SeaWiFS and MODIS, promised

that the biogeochemical retrieval algorithms to be developed by us could be thor-

oughly tested to solidly assess/confirm their performance efficiency, which, as empha-

sized above, is an important prerequisite for a creditable comparison of data from

SeaWiFS and MODIS and subsequent merging performance.

3. Conceptual approach to the development of an area-specific algorithm for

simultaneous determination of the chl and tsm concentrations in the Bay of Biscay

Previously, Gohin et al. (2002) developed a dedicated bio-optical algorithm for the

retrieval of solely chl called OC5. Intended for the Bay of Biscay, and more widely for

the IBI area, the algorithm corrects the chl values yielded by the SeaWiFS OC4

algorithm by means of a look-up table accounting for the optical impact of non-

chlorophyllous substances present in the coastal waters. Later on, this approach has

been employed for developing OC5 for MODIS data. However, even though the OC5algorithm has higher accuracy than the OC4 algorithm when processing remote

sensing data over the Bay of Biscay, the retrieval accuracy remains the issue, especially

in the case of MODIS data (see §5.2.1).

However, it is our knowledge that the chl retrieving OC5 was further accompanied

by a separate semi-analytical algorithm for the retrieval of total suspended matter

(tsm) in the Bay of Biscay (Gohin et al. 2005), but it is not genetically related to OC5,

and its performance efficiency has not been reported/documented in the literature.

Presently, we have developed a new bio-optical algorithm for the target area able tosimultaneously retrieve the concentrations of not only chl but also the concentrations

of tsm. The new algorithm is based on a neural network (NN) emulator, which is

known to have an enhanced interpolation capability (Haykin 1998). The neural net-

works constituting the algorithm were separately trained for the retrieval of chl and

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tsm individually for SeaWiFS and MODIS sensors. This resulted in a set of versions of

the algorithm dedicated to the above tasks.

The NN algorithms were developed specifically for the coastal zone of the Bay of

Biscay bracketed by the coastline and 200-m isobath (see figure 1), but tested also for

waters in the English Channel (the French coastal zone north of the Bay of Biscay).

4. Data description

4.1 In situ datasets

Extensive field campaigns have been performed by or with the participation of

IFREMER (Gohin et al. 2002) to collect in situ measurements of chl and tsm quasi-

concurrently with the overflights of SeaWiFS and MODIS. For illustration, figure 2

displays the location of stationary and dedicated cruise stations as well as the numberof respective match-up measurements of chl effected within various field activities

performed. At some of these locations tsm concentrations were also determined.

The overall number of sampling stations used for compiling the in situ databases

for SeaWiFS and MODIS was, respectively, 409 and 213 for chl and 261 and 155 for

tsm. The data from years 1998 to 2004 for SeaWiFS, and years 2002 to 2007 for

MODIS were used. According to the employed database concept (Gohin et al.

2002), the in situ samplings of chl (performed either spectrophotometrically or by

fluorimetry) and tsm qualified as match-ups for SeaWiFS and MODIS if they wereconducted on the day of the satellite overflight with the time shift generally not

exceeding 12 hours. The overall number of match-up measurements for SeaWiFS

and MODIS was, respectively, 1236 and 886 for chl and accordingly 625 and 361 for

tsm. The ranges of chl concentrations determined in cruise and stationary measure-

ments were 0.01–52.9 mg l-1 and 0.01–35.24 mg l-1 for SeaWiFS and MODIS match-

ups, respectively. For tsm the respective ranges constituted 0.12–18.8 mg l-1 and

0.18–18.97 mg l-1.

Figure 1. Bathymetric map of the Bay of Biscay.

Case 2 water algorithm-based merging 6545

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As seen in figure 2, the match-up stations are practically all restricted to the area

bracketed by the 200 m isobath (see also figure 1) and the coastal line in the Bay of

Biscay, whereas the stations in the English Channel are mostly located within

the coastal zone in the Bay of Seine. The same refers to the location of tsm

match-ups.

200m

Longitude (°)

Latit

ude

(°)

Num

ber

of m

atch

-ups

−7 −6 −5 −4 −3 −2 −1

44

45

46

47

48

49

50

(a)

5

10

15

20

25

Longitude (°)

Latit

ude

(°)

(b)

200m

Num

ber

of m

atch

-ups

−7 −6 −5 −4 −3 −2 −1

44

45

46

47

48

49

50

5

10

15

20

25

Figure 2. Locations of stations, at which the measurements of chl were employed for theneural network algorithm development and verification for (a) SeaWiFS and (b) MODIS. Thecolour reflects the number of match-up measurements at each site. The position of the 200 misobath is indicated.

6546 E. Morozov et al.

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The SeaWiFS and MODIS match-up in situ measurements of chl and tsm are most

abundant throughout the entire vegetation period – early spring–late autumn (e.g. in

summer, on average, there are 80–100 per month for chl and 30–40 per month for tsm)

and they are appreciably less numerous during the winter and spring time.

In addition to match-ups, a large number of chl and tsm concentrations measuredin situ were used to compare the performance efficiency of the NN bio-optical

algorithms (see sections below) for SeaWiFS and MODIS (about 9100 and 7100 for

SeaWiFS and MODIS for chl and 2500 and 1710 for tsm).

4.2 Satellite datasets

The satellite L2 data as spectral normalized water-leaving radiances at 1 km resolu-

tion were downloaded from the ocean color browser (http://oceancolor.gsfc.nasa.gov/

cgi/browse.pl?sen¼am). These data were processed at NASA with 5.2 and 1.1 repro-cessing codes for SeaWIFS and MODIS, respectively, which include the NASA

atmospheric correction procedures. The latter automatically switch from case 1 to

case 2 water modes of operation. There data were used to calculate (as in Pozdnyakov

et al. (2003)) the spectral values of subsurface remote sensing reflectance, defined as

(e.g. Jerome et al. 1996):

RrswðlÞ ¼ Luð�0; lÞ=Edð�0; lÞ (1)

where Lu(-0,l) and Ed(-0,l) are, respectively, the subsurface spectral upwelling

radiance and the downwelling irradiance. The retrieved Rrsw values were mapped by

us on same coordinate grid for SeaWiFS and MODIS.Only match-up measurements were employed for the NN bio-optical algorithm

development. The remainder of the spaceborne measurements was used for assessing

the performance efficiency of the NN water quality retrieval algorithm as well as for

assessing the compatibility of SeaWiFS and MODIS data.

5. Development of the new IBI Area-specific algorithm

5.1 Basics of NN emulators, and architecture and performance parameters of the Bayof Biscay-specific NN algorithm

Given a notably abundant/statistically ample database of synchronized spaceborne

in situ measurements available for the Bay of Biscay, we have chosen, among a variety

of non-parametric water quality retrieval approaches, the neural network technique,

which is known to have a high interpolation capability and performance efficiency,

provided the training and validation data are statistically rich (Haykin 1998).

Neural networks are organized by layers with an input layer, an output layer andone or more hidden layer(s) between them (figure 3). Each layer consists of ‘neurons’:

the input layer has as many neurons as there are input values, the output layer has as

many neurons as there are output values necessary and the hidden layer(s) need a

problem-dependent number of neurons.

Neighbouring layers are linked: each neuron in one layer has a link (i) to each

neuron of the next (neighbouring) layer. Each link has a weight (w), and each neuron

calculates its output value o according to

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o ¼ sð�biasþX

iwixiÞ (2)

where bias is a value specific for each neuron, wi is the weight of the link, xi is the

output-value of the link in the preceding layer (the neurons in the input-layer have

only one incoming link and xi are the output values of the input layer), s is a nonlinear

function taking the form of a ‘sigmoid’, that is, it yields increasing values between 0

and 1 as the value of the argument goes from -1 to þ1.

The NN works sequentially: at first, the input-values are applied to the input-neurons and this is already the output of the first layer. Then all neurons of the first

hidden layer calculate their outputs by summing the weighted inputs, shifting this sum

by the bias-value and applying the sigmoid function. This is repeated for the next layer

and so on until the output-layer is reached yielding the network result for the applied

input.

Two sufficiently large sets of mutually consistent input-output vectors are required:

one set is used as a training-sample and the other set as a test-sample. During training,

the values of the biases of all neurons as well as the weights w1...n of all the links arechanged so as to minimize an error-function. While the signal from the input neurons

propagates forward, in the training-phase, the errors are back-propagated from the

output layer to the input-layer – this is why such networks also are called feed-forward

and back-propagation networks (Haykin 1998).

The weights are tuned in a way to decrease the mean square error (MSE), � of the

retrieved concentration CNN

� ¼ ðCinSitu � CNNÞ2

n(3)

where Cin situ is the value of the sought for water constituent concentration in the

training dataset; CNN is the concentration of the same water constituent restored by

NN, n is the number of water constituent concentration vectors in the training

dataset.

The error minimization procedure is to be followed by checking the NN ‘general-

ization power’, i.e. its ability to produce reasonable results also from input values,

Figure 3. A scheme of interactions of neurons in the hidden layers of a neural network: 1, 2,3 ¼ neurons in the first hidden layer, 4 ¼ neuron in the second neuron layer. Arrows o1–o4

designate the output signals of neurons 1–4; the thickness of the arrow corresponds to the signalmagnitude; greyish boxes w14–w34 designate the weights of the signals coming from neurons 1–3to neuron 4. The degree of greyness indicates the weight value.

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which were included in the training dataset. The second (‘test’) set is used for this

purpose.

The Stuttgart network simulator package (SNNS) has been exploited in our study

(ftp://ftp.informatik.uni-stuttgart.de/pub/SNNS/). Two sets of networks were devel-

oped individually for the retrieval of chl and tsm from SeaWiFS and MODIS. Thein situ match-up data on chl and tsm described above were used for network training

and verification (the dataset was randomly split: 2/3 of all available satellite-specific

in situ data for training and 1/3 for verification).

Through a series of trial and error experiments to attain an optimal configuration

of the sought for networks the following architecture was employed: 6 neurons in the

input layer, 10 and 3 neurons in, respectively, the first and second hidden layers and 1

neuron in the output layer. The neurons in the input layers acquired Rrsw values at

412, 443, 490, 510, 555 and 670 nm for the SeaWiFS network and at 412, 443, 488, 531,555 and 667 nm for the MODIS network.

In the final stage of training and validation, the attained root mean square error

ðRMSE ¼ffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiPðxinsitu

�xsateliteÞ2

qwas 3.2 mg l-1 (SeaWiFS) and 2.50 mg l-1 (MODIS) for

chl and 2.9 mg l-1 (SeaWIFS) and 2.9 mg l-1 (MODIS) for tsm.

5.2 Assessment of performance efficiency of the developed NN algorithm

5.2.1 Comparison with in situ match-up data. Assessed through the coefficient of

correlation R, the NN algorithm performance for chl proved to be 0.79 and 0.72 for

the SeaWiFS and MODIS match-up data, respectively. For tsm the R values were

found to be 0.71 and 0.74, respectively. For comparison (see figure 4), the OC5algorithm performance is characterized by R ¼ 0.7 (RMSE ¼ 5.390 mg l-1) for

SeaWiFS and R , 0.6 (RMSE ¼ ,3 mg l-1) for MODIS (F. Gohin, 2009, personal

communication). †Thus, the performance of the NN algorithm prevails over that of

the OC5 algorithm.

5.2.2 Comparison with in situ non-match-up data. The performance of the NN

algorithm was further tested using the available in situ non-match-up data. The

main incentive of such an additional test stems from our intention to assess the

efficiency of the developed algorithm performance making use of in situ data defi-

nitely beyond the training dataset employed for the NN development. Also itappeared worthwhile to reveal to what degree the new NN algorithm application

provides credible seasonal variations of the retrieved variables both at some indivi-

dual stations and across the entire coastal zone.

The entire yearly period was split into 2-week spans. For each span, mean chl and

tsm concentrations were calculated over 1998–2004 (SeaWiFS data) and 2003–2006

(MODIS data). Figure 5 exemplifies such a comparison for chl at REPHY (REseau

PHYtoplancton — long-term phytoplankton survey, IFREMER) station in Boyard

[1.2� W, 45.97� N] and tsm at Point 4 Dunquerque [2.25� W, 51.07� N]. Both stationsare fairly close to land. However it is our knowledge that in situ match-up measure-

ments employed by us have been compiled at IFREMER in a way to minimize the

adjacency and bottom reflection effects. The atmospheric correction inaccuracy due

to the adjacency effect could in some cases intervene and influence some of our

†It is our knowledge that the OC5 look-up tables are being improved, but we are unaware

of the respective published results.

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retrieval results. However, a visual assessment together with the calculated values of

mean absolute error (MAE) (see figure 5) and correlation coefficient (R¼ 0.82 for chl)

indicate that the spaceborne chl and tsm data retrieved with our algorithm, first, are

very close to the respective in situ data, and secondly, faithfully reflect the seasonal

course of the tsm and chl abundance shown by in situ measurements. Indeed, tsm is

enhanced in the rainy periods and less in summer, whereas chl exhibits an inverse

pattern and is maximum in summer under conditions of developed stratification andenhanced illumination by solar radiation. As figure 5 shows, the available number of

in situ and satellite measurements per a 2-week span varied very significantly through-

out the year and in some cases was low. This prevents the application of some

standard statistical assessments of the closeness of in situ and satellite data.

However, given the long time period of averaging (1998–2004) and significant

heterogeneity of both satellite and in situ data, as well as the non-match-up nature

of the in situ data used for plotting figure 5, the obtained result confirms the ability of

the satellite data retrieved with our algorithm to reflect the intrinsic salient features intemporal variations of the studied variables in the studied area on a multi-year scale.

In marine biology, vegetation period-mean values of chl and tsm are traditionally

considered as meaningful parameters characterizing the trophy and ecological status

10−2

10−1

100

101

102

10−2

10−1

100

101

102

correl = 0.700RMSE = 5.39 mg⋅m−3MAE = 128.35 %

match−up dr: 1236

in situ

OC

5

(a) (b)

10−2

10−1

100

101

102

10−2

10−1

100

101

102

correl = 0.598RMSE = 2.95 mg⋅m−3MAE = 125.84 %

match−up dr: 886

in situ

OC

5

(c)

10−2

10−1

100

101

102

10−2

10−1

100

101

102

correl = 0.795RMSE = 3.17 mg⋅m−3MAE = 85.33 %

match−up dr: 1236

in situ

NN

alg

orith

m

(d)

10−2

10−1

100

101

102

10−2

10−1

100

101

102

correl = 0.720RMSE = 2.50 mg⋅m−3MAE = 78.47 %

match−up dr: 886

in situ

NN

alg

orith

m

Figure 4. A comparison of the (a) SeaWiFS and (c) MODIS OC5 algorithm retrievals of chl(mg l-1) with the (b) neural network SeaWiFS and (d) neural network MODIS retrievals versusin situ (shipborne and coastal stations) match-up measurements of chl (mg l-1). The straight solidline shows the 1:1 ratio.

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0 5 10 15 20 25

1

2

3

4

5

6

7

8

9

10

REP−Boyard

Fortnight (January 1998 to December 2004)

chl (

mg

m−3

) MAE=1.14 (mg⋅m−3)

SeaWiFS

∇−sat NN mean

[]−situ mean;

50

511

69

611

614

520

716

716

68

717

620

519

738

619

625

626

635

630

635

817

89

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74

78

50

No of situ observ.–No of sat observ.–

(a)

0 5 10 15 20 25

2

4

6

8

10

12

Sui−Point−4−SRN−Dunk

Fortnight (January 1998 to December 2004)(b)

tsm

(g

m−3

)

MAE=1.88 (g⋅m−3)

SeaWiFS

∇−sat NN mean

[]−situ mean;

016

222

110

427

414

417

128

424

314

324

525

327

038

121

231

234

125

122

414

013

115

214

07

46

27

18

No of situ observ.–No of sat observ.–

Figure 5. A comparison of the in situ data with the results of retrieval of the concentrations of chl(a) and tsm (b) at two stations (Boyard (a) and Point 4 Dunquerque (b)) with the neural networkalgorithm from the SeaWiFS data. Both sets of compared data are averaged over a 2-week timeinterval and over 1998–2004. For each 2-week period, the number of in situ observations andsatellite determinations are given at the top of the plate. The error bars reflect the standard error ofthe 2-week mean.

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of the studied waters (Gohin et al. 2008). Thus, an additional test for performance

efficiency of both sets of our NN algorithms was carried out through comparing the

coefficients of correlation, R, between non-match-up in situ and retrieved chl and tsm

concentrations for the entire vegetation period (table 1) over the time-intervals

1998–2004 (SeaWiFS) and 2003–2006 (MODIS) within the coastal zone in the Bay

of Biscay and the south-eastern English Channel.

As table 1 illustrates, the satellite-borne data restored with our NN algorithmscorrelate well with the respective (naturally non-match-up) in situ measurements.

5.2.3 Indirect verification of the NN algorithm: analyses of spatial and temporal

distributions of chl and tsm in the coastal zone of the Bay of Biscay. The performance

efficiency of the developed NN algorithm was further assessed indirectly through a

thematic analysis of the spatial distributions of chl and tsm within the coastal zone for

which the NN algorithms were developed. Figure 6 illustrates the distributions of chl

and tsm retrieved for the months of May and July 2004 in the coastal zone of the Bay

of Biscay. These two months are chosen for illustration as contrasting situationsbecause it is known (Castaing and Allen 1981) that in May the river discharge in the

area is highest whereas in late July it is low.

As seen in figure 6, there are a number of plume-like features in the distribution of

both chl and tsm. Within the coastal zone, as figure 1 indicates, these plumes originate

from the estuaries of the rivers discharging into the bay: moving from north to south,

these are Vilaine, Loir, Gironde and Adour. An important difference between both

distributions in figure 6 is the extent of plumes off the coastline: the tsm plumes are

more restricted to the respective estuaries whereas the chl plumes practically reach outto the outer boundary of the coastal zone. This is easily explainable: suspended matter

(mostly mineral) brought in with riverine waters settles in the relative vicinity of the

estuary due to gravitational sedimentation, whereas the chl plumes arise from the

dissolved riverborne nutrients that are not subject to physical removal from the water

column. The species that are the main contributors to the phytoplankton community

are diatoms, dinoflagellates, silicoflagellates (see Lampert et al. (2002)). For these

species phosphorus is the principal limiting nutrient (and also silica for diatoms). The

river discharge replenishes the pools of these nutrients, promoting phytoplanktongrowth outbursts. In June (not illustrated here) these distinguishing features become

further accentuated as the aftermath of the highest phase of river discharge.

It should be emphasized that the observed discolouration of waters in river deltas

and contingent bay areas is most certainly due to enhanced chl and tsm concentra-

tions, because cdom content there is reportedly low (see §2). This is further supported

by the results of the biogeochemical study for this area conducted by the French

workers (http://www.ifremer.fr/ezprod/index.php/dyneco/layout/set/print).

Table 1. Coefficients of correlation, R between the retrievals of chl and tsm from SeaWiFS andMODIS and the entire set of non-match-up in situ data collected over the vegetation period

across the Bay of Biscay.

Algorithm Sensor Coefficient of correlation, R

Neural network – chl SeaWiFS 0.62MODIS 0.74

Neural network – tsm SeaWiFS 0.83MODIS 0.74

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Further off-coast, the impact of river discharge rapidly dissipates. A pairwise com-

parison of figure 6 (a)–(c) and (b)–(d) immediately reveals the seasonal variations in the

river discharge: in July, when the river discharge is low the chl and tsm plumes are

practically restricted to the estuaries of the rivers, chl plumes, however, extending over a

larger area than tsm plumes, which is in accordance with the above argumentation.

The retrieved sequence of chl spatial distributions throughout the vegetation season(not illustrated here) reveals a secondary maximum of the phytoplankton growth cycle in

autumn (October), which falls in line with the reported in situ data (Lavender et al. 2008).

Thus, the NN algorithms developed for chl and tsm yield the spatial distributions of

these water constituents in complete consistency with the intrinsic phenomenology of

the Bay of Biscay, which further substantiates the above assessments of their perfor-

mance efficiency.

6. Comparison of chl and tsm products derived from SeaWiFS and MODIS

6.1 A pixel-to-pixel comparison

We have browsed all available SeaWiFS and MODIS data on the Bay of Biscay

and the English Channel throughout 2002–2004 and found a wealth of dates, forwhich SeaWiFS and MODIS images were taken the same day with a time-

interval not exceeding 2.5 hours. The overall number of image pairs proved to

be approximately 1750.

(a) (b)

(c) (d)

Figure 6. Mean monthly distributions of chl (a), (c) and tsm (b), (d) within the coastal zone ofthe Bay of Biscay (a), (b), May 2004, (c), (d,) July 2004, SeaWiFS data). The hatched, off-coastalarea is dominated by coccolithophore alga (Emiliania huxley); the neural network algorithmidentifies the bloom area of this alga as tsm-dominated.

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Our experience with processing SeaWiFS images indicates that not infrequently the

fields of retrieved concentrations of water quality parameters such as chl and tsm

exhibit such an artefact as ‘fringes’ around the projections of clouds onto the water

surface, within which the retrieved values of chl (as well as of other water quality

parameters) are incorrect. To avoid this artefact, the data from the respective pixelswere discarded. The pixels exhibiting the reflectance spectra with some evidently

wrong features such as very low signals in the SeaWiFS third (490 nm) channel and/

or unrealistically strong signals in the MODIS fifth (555 nm) and sixth (667 nm)

channels were also discarded. As a result, the number of pixels used for comparison of

SeaWiFS and MODIS same-day/pairwise images varies in most cases between

103 and 104.

The selected pairwise images were processed with the NN algorithms developed

specifically for SeaWiFS and MODIS (see above) to retrieve the concentration of chl

and tsm. The obtained chl and tsm concentrations were further used to derive the

Cchl,SeaWiFS/Cchl,MODIS and Ctsm,SeaWiFS/Ctsm,MODIS ratios in each pixel. A further

supervised inspection and sorting (additional to that related to cloud-borne fringes)

of the processed SeaWiFS and MODIS pairwise images (removal of images taken at

large viewing angles and those containing such artifacts as striped structure, etc.)

improves, albeit rather slightly, the statistics of the ratio (not illustrated here).

Four scatter plots in figure 7 illustrate the least and highest scatter from a 1:1

imaginary line case of compatibility of the chl and tsm retrieval results obtained frompairwise SeaWiFS–MODIS images. The results of the respective statistical compar-

ison are shown in figure 8. They indicate that in the case of chl the most probable value

of the ratio is 0.78. About ,88% and ,95% of ratio values fall in the ranges 0.5–2.0

and 0.33–3.00, respectively. Similar results were obtained for tsm with the most

probable value of the ratio occurring at ,1.1. It is noteworthy that ratio values in

excess of 4 and lower than 0.25 were also revealed, but the percentage of such cases is

relatively low: 2.1% and 3.4 % for chl and tsm, respectively.

In the light of the fairly high correlation coefficients established for the entirevegetation period (see table 1), further analysis of the compatibility of SeaWiFS and

MODIS data was performed using monthly data: daily ratios Cchl,SeaWiFS/Cchl,MODIS

and Ctsm,SeaWiFS/Ctsm,MODIS for each pixel in the pairwise images of the Bay of Biscay

were determined for each month throughout the year, and the respective histograms

were drawn. Prior to assessing the ratios, the aforementioned data filtering was also

applied to discard pixels viewed at large angles as well as pixels for which the remote

sensing reflectance spectra proved to be distorted/contaminated with artefacts. The

histograms thus obtained (not illustrated here) indicate that there are appreciablemonthly variations in the above ratios.

We calculated a suite of statistical parameters (see table 2) characterizing the compat-

ibility of chl and tsm values determined from the same-day SeaWiFS and MODIS data for

2003. The following parameters were calculated for each month and for the entire year:

slope (S) and intercept (I) of the linear regression xMODIS ¼ I þ SxSeaWiFS; coefficient of

correlation (R); relative difference ðBIAS ¼PðxSeaWiFS � xMODISÞ=xSeaWiFS

n� 100Þ, mean abso-

lute error ðMAE ¼PjxSeaWiFS � xMODISj=xSeaWiFS

n� 100Þ, and absolute difference of logarith-

mically scaled values ðRMSE ¼ exp

ffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiPðln xSeaWiFS � ln xMODISÞ2

n

qÞ, where x is the chl or tsm

concentration.

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As table 2 indicates, the RMS and bias values for chl are enhanced in mid-summer

whereas for tsm the pattern is inverse. At the same time, the coefficient of correlation,

R for chl remains fairly high throughout the entire year of 2003; for tsm it somewhat

declines in June–July. We assume such monthly variations in the statistical para-

meters can be explained by, at least, several factors. One of the possible reasons is the

deficiencies of the employed bio-optical algorithms specifically in the warm timeperiod. However, this appears unlikely because the training pool for training of the

NN algorithms was most abundant exactly for this period.

Our investigations, not illustrated here, indicate that SeaWiFS–MODIS chl and

tsm scatterplots vary far less as a function of the time difference between the over-

flights of SeaWiFS and MODIS than they do for different seasons. This indicates that

the interseasonal spatio-temporal dynamics in CPA and atmospheric aerosol fields

must be the major factors in this regard. Plotting the SeaWiFS versus MODIS Rrsw

values in pairwise spectral channels, we found that the scatter was maximum for thewarm time of the year. Moreover, the spatial distribution of scaled mismatches

between SeaWiFS and MODIS pairwise retrievals in pixels (not illustrated here) are

most pronounced in the vicinity to the coastline, that is, pixels prone to adjacency

effects. This additional finding is in line with our conjecture that atmospheric

0 5 10 15 20 250

5

10

15

20

25

(a)SeaWiFS chl concentration (mg m−3)

MO

DIS

chl

con

cent

ratio

n (m

g m

−3)

0

0.5

1

1.5

2

2.5

3

3.5

4

4.5

0 5 10 15 200

5

10

15

20

(b)SeaWiFS tsm concentration (g m−3)

MO

DIS

tsm

con

cent

ratio

n (g

m−3

)

0

0.5

1

1.5

2

2.5

3

3.5

4

0 5 10 15 20 250

5

10

15

20

25

(c)SeaWiFS chl concentration (mg m−3)

MO

DIS

chl

con

cent

ratio

n (m

g m

−3)

0

0.5

1

1.5

2

2.5

3

3.5

4

0 5 10 15 200

5

10

15

20

(d)SeaWiFS tsm concentration (g m−3)

MO

DIS

tsm

con

cent

ratio

n (g

m−3

)

0.5

1

1.5

2

2.5

3

3.5

4

Figure 7. Scatter plots reflecting the best (a, b, June 2003) and worst (c, d, November 2003)cases of correspondence between chl (a, c) and tsm (b, d) retrieval from the SeaWiFS andMODIS data used in the present study. The straight solid line shows the 1:1 ratio. The colourscale is a decimal logarithm of the number of points.

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correction might indeed drive (at least partially) the observed variations in the

monthly bias. However, this issue requires further/dedicated research, which goes

beyond the scope of this paper.

6.2 Area-time averaged comparison

It is worthwhile to parallel the results of comparison of chl and tsm retrievals from

SeaWiFS and MODIS for individual pixels with those averaged over a large area. The

SeaWiFS and MODIS data compatibility significantly improves when considering

respective monthly means calculated with our NN algorithms for the entire coastal

0 1 2 3 4 5 60

0.5

1

1.5

2× 106

chl ratio, SeaWiFS/MODIS(a)

Num

ber

of p

ixel

pai

rs

(b)

0 1 2 3 4 5 60

2

4

6

8

10

12× 105

tsm ratio, SeaWiFS/MODIS

Num

ber

of p

ixel

pai

rs

Figure 8. Statistics of the pixel-by-pixel ratio between the concentrations of (a) chl and (b) tsmretrieved from SeaWiFS and MODIS pairwise images taken over the Bay of Biscay and thesoutheastern English Channel.

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zone (0–200 m isobath) in the Bay of Biscay. Figure 9 illustrates two partly over-

lapping time series of SeaWiFS (1997–2004) and MODIS (2002–2009) chl and tsm

retrievals. The mean absolute error and correlation coefficients for the overlapping

time period (July 2002–December 2004) are, respectively, 18.42% and 0.91 for chl, and

8.63% and 0.93 for tsm.

The above comparison indicates that the SeaWiFS and MODIS data compatibility

enhances as the area of comparison increases. This observation is supported e.g. byFolkestad et al. (2007) who conducted an inter-comparison of ocean colour products

from SeaWiFS and MODIS during algal blooms in the Skagerrak – a strait running

between Norway and the southwest coast of Sweden and the Jutland peninsula of

Denmark, and connecting the North Sea and the Kattegat Sea area, which leads to the

Baltic Sea.

The data compatibility assessment and bridging illustrated in figure 9 give credit to

the NN algorithms developed for the retrieval of chl and tsm concentrations in the Bay

Table 2. Comparison between the SeaWiFS and MODIS determinations of (a) chl and (b) tsmconcentrations in the Bay of Biscay and the English Channel for 2003; S, slope; I, intercept; R,coefficient of correlation; BIAS, relative difference; MAE, mean absolute error; RMSE, root

mean square error; n ¼ number of pixels.

(a)

Month S I R BIAS(%) MAE(%) RMSE(mg/l-1) n

Jan 0.59 0.26 0.82 7.66 36.72 1.63 760 775Feb 0.55 0.37 0.75 14.50 35.92 1.54 677 390Mar 0.68 0.37 0.79 26.19 38.86 1.53 1 329 593Apr 0.51 0.57 0.69 24.11 40.65 1.58 1 414 780May 0.75 0.35 0.79 45.83 55.16 1.68 975 603Jun 0.93 0.21 0.81 42.88 53.04 1.70 1 185 436Jul 0.85 0.25 0.82 86.38 91.56 1.98 1 847 563Aug 0.63 0.27 0.81 70.00 77.26 1.88 1 603 839Sep 0.76 0.21 0.85 47.60 58.11 1.70 2 377 051Oct 0.49 0.29 0.70 5.14 41.56 1.72 709 337Nov 0.43 0.25 0.67 -18.24 42.15 2.13 592 768Dec 0.60 0.14 0.81 -9.15 37.63 1.82 346 962Mean annual 0.67 0.30 0.77 40.14 56.21 1.75 13 821 097

(b)

Month S I R BIAS(%) MAE(%) RMSE(mgl-1) n

Jan 0.90 0.49 0.73 7.26 52.92 2.00 748 020Feb 0.87 0.74 0.79 22.87 50.88 1.75 671 890Mar 0.94 0.73 0.78 29.42 50.66 1.70 1 326 726Apr 0.66 0.92 0.62 24.75 48.75 1.76 1 414 341May 0.44 0.86 0.45 -2.66 48.24 2.05 975 468Jun 0.46 1.00 0.45 6.54 50.68 2.02 1 185 161Jul 0.60 0.19 0.56 -20.83 40.47 1.94 1 847 148Aug 0.62 0.11 0.55 -26.86 42.40 1.98 1 603 795Sep 0.91 0.04 0.68 -6.83 37.63 1.69 2 376 925Oct 0.84 0.08 0.70 -11.68 38.39 1.80 709 214Nov 0.99 0.14 0.81 -1.27 46.13 1.85 591 365Dec 1.00 0.18 0.82 4.58 44.77 1.86 346 011Mean annual 0.94 0.09 0.71 -0.38 44.89 1.86 13 796 064

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of Biscay to be instrumental in SeaWiFS and MODIS data merging for this specific

marine environment.

7. A pilot assessment of efficiency of SeaWiFS and MODIS data merging for the Bay

of Biscay

As a criterion of SeaWiFS and MODIS data merging efficiency, at this stage of

research we have chosen the degree of reduction of cloudiness masking of the surface

of the Bay of Biscay for a number of time intervals, namely five days, one week, two

weeks and one month. Such time intervals are chosen for practical purposes: the user

can consider the usefulness of merging when employing ocean colour data to studying

biogeochemical and, indirectly, hydrological processes of different lifetimes – from

short-living to month-living phenomena.Figure 10 shows how the merging procedure affects the cloud-free area available for

further analysis. Note that, given the difference in cloud-free areas over the Bay of

Biscay recorded separately by SeaWiFS and MODIS is a maximum of 3%, the

comparison in figure 10 is affected between the averaged SeaWiFS and MODIS

cloud-free area and the area yielded by merging.

The results of our calculations illustrated in figure 10 explicitly indicate that the

maximum benefit due to merging is attained for a 5-day averaging time. It rapidly

2.5

2

1.5

1

0.5

0

1997

/919

98/1 /5 /9

1999

/1 /5 /920

00/1 /5 /9

2001

/01 /5 /9

2002

/1 /5 /920

03/1 /5 /9

2004

/1 /5 /920

05/1 /5 /9

2006

/1 /5 /920

07/1 /5 /9

2008

/1 /5 /5/920

09/1

SWF_chlMOA_chl

chl c

once

ntra

tion

(µgl

–1)

Date

(a)

5.55

4.54

3.53

2.52

1.5

1

1997

/919

98/1 /5 /9

1999

/1 /5 /920

00/1 /5 /9

2001

/01 /5 /9

2002

/1 /5 /920

03/1 /5 /9

2004

/1 /5 /920

05/1 /5 /9

2006

/1 /5 /920

07/1 /5 /9

2008

/1 /5 /5/920

09/1

SWF_chlMOA_chl

tsm

con

cent

ratio

n (µ

gl–1

)

Date

(b)

Figure 9. Two overlapping time series of monthly mean concentrations of (a) chl (mg l-1) and(b) tsm (mg l-1) retrieved from SeaWiFS (squares) and MODIS (diamonds) data with the neuralnetwork algorithms and averaged over the coastal zone of the Bay of Biscay.

6558 E. Morozov et al.

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declines with the increasing period of averaging, and is most significant in winter,

naturally, for the atmospheric conditions of the Bay of Biscay.

However, the merging efficiency in terms of gaining a larger cloud-free area under

surveillance increases from summer to winter, and in winter, the merging of even one

month averaged data remains sensible. The sequence of merged tsm data in figure 11

displays the stages of development and subsequent dissipation of resuspension plumesgenerated by strong winter-time winds in the Bay of Biscay.

As seen in figure 11, in 2003 the resuspension phenomenon began in the first week

of December and became most intense in the first week of February 2004. During the

following weeks, the tsm area began ebbing down to its summer-time extension. This

sequence is an explicit illustration of the merging efficiency, remembering that during

winter time the cloudiness is particularly intense over the Bay of Biscay (see figure 10).

Given that for generating the time series shown in figure 11 we used the tsm-retrieving

algorithms that were developed by us specifically for this coastal zone and at present,judging by the available publications (Doxaran et al. 2002, Gohin et al. 2005), are

most precise, the data in figure 11 are believed to be essentially new/previously

unattained.

8. Closing remarks

8.1 Improved bio-optical algorithm for the Bay of Biscay

Because of the significant optical complexity of the coastal waters in the Bay of

Biscay, the standard SeaWiFS and MODIS algorithms for the retrieval of chl turn

out to be untenable. Now, we have developed a new bio-optical algorithm for the area

100

95

90

85

80

75

70

Mea

n co

vera

ge (

%)

Spring Summer Autumn WinterSeason

Figure 10. Numerical assessment of SeaWiFS and MODIS data merging efficiency for theBay of Biscay for various periods of temporal averaging. Lines with diamonds, triangles,squares and the plain line refer, respectively to 5, 7, 10 days and 1 month averaging periods.Solid and dashed lines designate, respectively, a single sensor coverage and coverage by mergeddata. On the vertical is the percentage of cloud-free area. Spring: March–May; summerJune–August; autumn: September–November; winter: December–February.

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(a) (b) (c) (d)

(e) (f) (g) (h)

(i) (j) (k) (l)

(m) (n) (o) (p)

(q) (r) (s) (t)

(u) (v) (w) (x)

Figure 11. Resuspension plume dynamics as reflected in SeaWiFS and MODIS merged(a)–(h) and separate SeaWiFS (i)–(p) and MODIS (q)–(x) images over the coastal zone of theBay of Biscay for 2003–2004.

6560 E. Morozov et al.

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in question. Based on remarkably vast in situ data, this algorithm (separate versions

for SeaWiFS and MODIS) employs the neural network emulation technique. Unlike

another bio-optical algorithm suggested for the Bay of Biscay, OC5, the NN algo-

rithm permits retrieving not only the concentration of chl, but also tsm. This extends

significantly the analytic capacity of this new tool, which presently is being employedin our further research on the hydrography and biogeochemistry in the Bay of Biscay.

The first results reported herein are promising in this regard: non-match-up SeaWiFS

and MODIS data processed with our algorithm reflect adequately the intrinsic

temporal and spatial hydrobiochemical features in the bay’s coastal zone.

The attained performance accuracy of both our algorithms warranted the exam-

ination of the feasibility of merging ocean colour data provided by SeaWiFS and

MODIS.

8.2 Merging SeaWiFS and MODIS ocean colour data on the bay’s coastal zone

Our results indicate that the annually averaged slope, S, of the inter-dependency

between the retrievals from pairwise SeaWiFS and MODIS data collected in 2003 is

0.67 and 0.94 for chl and tsm, respectively. The statistical variations in S for these two

CPAs, determined for 2002–2004 at a multitude of concrete stations, proved to be

appreciably high.The nature of this inconsistency requires further/dedicated research. However, one

tentative explanation of the observed skewed scatter resides in the possibility that the

atmospheric optical conditions (i.e. aerosol composition and/or advection of thin

clouds such as cirrus) over the scene have changed between the pairwise overflights,

and the applied NASA standard atmospheric correction procedure as well as the

aforementioned procedure of filtering out of ‘contaminated’ pixels proved to be

inadequate for one of the two overflights. At least such a supposition seems to comply

well with the scatter plots (see figure 12) reflecting the pairwise correspondencebetween the signals in respective channels recorded over the Bay of Biscay and the

English Channel by SeaWiFS and MODIS. As figure 12 shows, the ratio of the

SeaWiFS/MODIS signals in channels 1 and 2 exhibits large excursions. In most

cases, the same applies to band 3, whereas for bands 4 and 5 the correspondence is

more stable. The negative Rrsw values in figure 12 are the result of the imperfect

atmospheric correction due to overestimation of the path radiance at short

wavelength.

However, with the extension of the marine area, over which the spatial averaging isperformed, the compatibility of SeaWiFS and MODIS data enhances. A possible

causal mechanism of such an enhancement resides in filtering out a variety of influ-

ences of different signs due to spatial averaging (IOCCG 2004). The spectrum of the

two sensors’ compatibility-decreasing influences might be very wide including rapidly

changing atmospheric conditions, such as advection of aerosol of specific composi-

tion, and displacement of cloud projections onto the water surface (in the vicinity of

which the retrieval accuracy frequently decreases, as discussed above), differences in

viewing geometry and light polarization impacts (unlike SeaWiFS, MODIS data areknown to be sensitive in terms of polarization (Meister et al. 2005, Kwiatkowska and

McClain 2009)).

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8.3 Merging efficiency

When considered in terms of gaining more cloud-free areas, the merging efficiency

increases specifically for shorter spans (of a few days) and winter time (when the

cloud-screening conditions over the Bay of Biscay are notably unfavourable). The

(b)

−0.02 0 0.02 0.04 0.06 0.08 0.1−0.02

0

0.02

0.04

0.06

0.08

0.1Band 2 reflec scatterplot SeaWiFS−MODIS, Nov

SeaWiFS R2

MO

DIS

R2

0.5

1

1.5

2

2.5

3

−0.02 0 0.02 0.04 0.06 0.08 0.1 0.12

−0.02

0

0.02

0.04

0.06

0.08

0.1

0.12

(a)

Band 1 reflec scatterplot SeaWiFS−MODIS, Nov

SeaWiFS R1

MO

DIS

R1

0

0.5

1

1.5

2

2.5

3

Figure 12. Scatter plots reflecting the correspondence between the Rrsw(l) values derived fromSeaWiFS and MODIS radiometric data in (a) channel 1 (402–422 nm for SeaWiFS and 405–420nm for MODIS) and (b) channel 2 (433–453 nm for SeaWiFS and 438–448 nm for MODIS).The straight solid line shows the 1:1 ratio.

6562 E. Morozov et al.

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merging facility of increasing the spatial coverage by ocean colour data on short

timescales is especially valuable for studying biogeochemical and, indirectly, hydro-

logical processes with a life-time of a few days as most are elusive and unattainable for

ground-based observations. At the same time, a significant improvement of space-

borne surveillance efficiency due to merging during winter, when shipborne measure-ments are generally scarce, is also very beneficial for studying in detail such processes

as sediment resuspension occurring annually at that time of year in the Bay of Biscay.

Importantly, along with gaining some additional cloud-free marine area for analy-

sis, merging also provides an overall greater amount of data on the water body under

investigation since for some cloud-free pixels, whose number might be significant in

the merged image, the data are composed not only through averaging the measure-

ments performed by one sensor, but by both sensors.

Thus, summing up, it can be confidently advocated that the developed regional NNalgorithm and the conducted analysis of SeaWiFS and MODIS data compatibility

open up realistic possibilities of efficient data merging for the Bay of Biscay.

AcknowledgmentsThe authors extend their profound gratitude to their IFREMER colleagues for

provision of the unique datasets of in situ measurements of water quality parameters

in the coastal zone of the Bay of Biscay and the English Channel.

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