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Volcanic ash retrieval from IR multispectral measurements by means of Neural Networks: an analysis of the Eyjafjallajokull eruption Matteo Picchiani 1 , Marco Chini 2 , Stefano Corradini 2 , Luca Merucci 2 , Pasquale Sellitto 3 , Fabio Del Frate 1 , Alessandro Piscini 2 and Salvatore Stramondo 2 1 Earth Observation Laboratory – Tor Vergata University, Rome, Italy 2 Istituto Nazionale di Geofisica e Vulcanologia, Rome, Italy 3 Laboratoire Inter-universitaire des Systèmes Atmosphériques (LISA), Universités Paris-Est et Paris Diderot, CNRS,

1 Earth Observation Laboratory – Tor Vergata University, Rome, Italy

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Page 1: 1 Earth Observation Laboratory – Tor  Vergata  University, Rome, Italy

Volcanic ash retrieval from IR multispectral measurements by means of Neural Networks:

an analysis of the Eyjafjallajokull eruptionMatteo Picchiani1, Marco Chini2, Stefano Corradini2, Luca Merucci2, Pasquale

Sellitto3, Fabio Del Frate1, Alessandro Piscini2 and Salvatore Stramondo2

1Earth Observation Laboratory – Tor Vergata University, Rome, Italy

2Istituto Nazionale di Geofisica e Vulcanologia, Rome, Italy

3Laboratoire Inter-universitaire des Systèmes Atmosphériques (LISA),

Universités Paris-Est et Paris Diderot, CNRS, Créteil, France

Page 2: 1 Earth Observation Laboratory – Tor  Vergata  University, Rome, Italy

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Scenario

The tracking of volcanic clouds is a key task for aviation safety,

allowing to beware the dangerous effects of fine volcanic ash

particles on aircrafts.

The procedure for the ash mass computation [Prata et al., 1989;

Wen & Rose, 1994] requires many input parameters and it can be

so time consuming that could prevent the utilization during the crisis

phases.

A novel technique [1] based on the synergic use of MODTRAN

simulations and Neural Network has shown good potentiality in the

automatic development of Ash detection and Ash mass retrievals

from Moderate resolution Imager Spectroradiometer (MODIS) data.[1] Picchiani, M.,  Chini, M., Corradini, S., Merucci, L., Sellitto, P., Del Frate, F. and Stramondo, S., “Volcanic ash detection and retrievals from MODIS data by means of Neural Networks”, Atmos. Meas. Tech. Discuss., 4, 2567-2598, 2011.

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Scenario

The methodology has been developed

considering several eruption of Mt. Etna [37.73°N,

15.00°E], a massive stratovolcano (3330 m a.s.l.)

located in the eastern part of Sicily (Italy),

showing interesting results:

BTD Ash Retrieval BTD Ash RetrievalNN Ash Retrieval NN Ash Retrieval

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ScenarioThe Eyjafjallajokull volcano, located on the south of Iceland, is a

stratovolcano 1666 meters high, with a caldera on its summit, 2.5 km

wide. The unexpected explosive activity lasted from April 14th, to May

23rd, 2010 causing widespread and unprecedented disruption to

aviation and everyday life in large parts of Europe.

A set of MODIS images collected during

the Eyjafjallajokull eruption have been

analyzed by means of NN algorithm.

The results of NN and BTD has been

compared.

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No need for ancillary data.

If the NN is properly trained new data can be inverted

in a few minutes (instead of some hours of MODTRAN

based procedure).

Possibility to employ a trained NNs to new area under

specified conditions (sea surface temperature,

atmospheric profile, i.e. similar latitude and longitude).

Motivations of NN approach:

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Problems

Problem :Volcanic Ash Detection (discriminate ash from meteorological clouds).

Problem :Volcanic Ash Retrieval.

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Modis Spectral Bands

MODIS is a multi-spectral instrument that covers 36 spectral bands,

from visible (VIS) to thermal infrared (TIR) with a global coverage in 1

to 2 days. The spatial resolution ranges from 250 m to 1000 m,

depending on the acquisition mode.

MODISChannel n°

Center Wavelength

(mm)NEDT (K)

Spatial Resolution

(km)

28 7.3 0.25 1

31 11.0 0.05 1

32 12.0 0.05 1

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Artificial Neural Networks (ANNs) can be seen as mathematical models for multivariate nonlinear regression or functional approximation.

Functional mapping: a relationship between an input space (the space of the data) and an output space is searched :

y= Ψw (x)

x : vector of independent variablesw : free adjustable parameters

In ANNs Ψ is a linear combination of a large number of non-linear functions (sigmoid functions).

Artificial Neural Networks

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• The training data set consist of pairs {(xi,ti)}, where xi is an input

signal and ti is the desired response to that input.

• During the training phase, the free parameters of the ANN

(weights, biases) are adjusted in order to minimize a cost function,

e.g.

p=number of training patterns,

M=number of output units

Neural Networks Training

p

i

M

jjj iyitE

1 1

2)]()([

Problem: We cannot directly measure the ash quantity in the atmosphere.A forward models is needed.

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Ash retrieval in the TIR spectral range

The cloud discrimination is based on Brightness Temperature Difference algorithm [Prata et al.,

1989] (+ water vapor correction)

BTD = Tb(11mm) - Tb(12mm)

The retrieval is based on computing the simulated inverted arches curves “BTD vs Tb(11mm)” varying the AOD (t) and the particles effective radius (re)

[Wen and Rose, 1994; Prata et al., 2001]

BTD < 0 volcanic ash

BTD > 0 meteo clouds

The TOA simulated Radiances LUT has been computed using

MODTRAN RTM

Pixel Area Ash Density

Extinction Efficiency Factor

)(34

,

,

iee

iiei rQ

rSM

t

iiTOT MM

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TOA Radiance computation

MODTRANRTM

Plume geometry

Spectral surface emissivity and

temperature

Volcanic ash Optical

Proprties

Ri (AOD, re )

9 values of AOD (0 to 10, constant step in a logarithmic scale)

8 values of re (0.7 to 10 mm, constant step in a logarithmic scale)

Sat. geometry

P, T, H

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Data SetThree MODIS images acquired on April the 19th, 2010, May the 6th 2010

and May the 7th 2010 have been considered for this NNs based

Eyjafjallajokull eruption analysis.

The channel 31 of MODIS, affected by the ash absorption:

April 19th, 2010 May 6th, 2010 May 7th, 2010

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Neural Networks Training

E

Training time

E on Training set

E on Test set

A trade off between accuracy and generalization capability of the networks are

reached when the error function on the test set reaches the global minimum.

When to stop Training?

Training: 65%Test: 20%Validation: 15%

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Two different NNs have been trained for the ash detection

and retrieval.

Training (Tr), Test (Ts) and Validation (V) sets have been

extracted from the data to train the NNs.

Input-output pairs: MODIS Ch 28-31-32 – MODTRAN based

procedure results.

Methodology

Data Tr Ts V Tot Ash Tot

April 19th, 2010 16500 7500 6009 30009 2250000

May 6th 2010 30373 13806 11046 55255 2250000

May 7th 2010 - - 48565 147666 2250000

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Ch. 28 Ch. 31 Ch. 32

Methodology: NN for Ash DetectionN

N -I

nput

s

BTD

NN

– T

arge

t O

utpu

ts

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Inputs:CH 28 CH 31 CH 32

CH 32

CH 31

Ch 28

Neural Network for Ash Detection

Output: Ash Detection Map

Methodology: NN for Ash Detection

0 1: Not Ash1 0 : Ash

Tr, Ts an V sets have been extracted from the ash plume (Ash class) and the remaining zone of the images (Not Ash class).

Uniform Sampling

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Ch. 28 Ch. 31 Ch. 32

Methodology: NN for Ash RetrievalN

N -I

nput

s

BTD - MODTRAN

NN

– T

arge

t O

utpu

ts

Page 18: 1 Earth Observation Laboratory – Tor  Vergata  University, Rome, Italy

19Output: Ash Mass Map

Neural Network for Ash Mass Retrieval

CH 32

CH 31

CH 28

Inputs:CH 28 CH 31 CH 32

Methodology: NN for Ash Retrieval

Tr, Ts an V sets have been extracted from the ash plume.

Uniform Sampling

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The two NNs have been insert in an automatic chain, processing the MODIS

data to produce the ash detection and ash mass retrieved maps. The second

NN is applied only where the ash is detected by the first NN. To improve the

results a region growing algorithm is applied after the NN for the detection.

Methodology: Processing Chain

NN for Ash Mass

RetrievalInputs:CH 28 CH

31 CH 32

CH 32 CH 31 Ch 28

NN for Ash

Detection

A region growing approach can be further applied to avoid the false positive ash pixels, due to high meteorological clouds.

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Ash Detection Results

April 19th 2010BTD

Ash Not AshNN Ash 99.53% 0.46%

Not Ash 0.74% 99.25%

Overall Accuracy= 0.993K Coefficient= 0.987

May 6th 2010BTD

Ash Not AshNN Ash 99.57% 0.42%

Not Ash 0.760% 99.23%

Overall Accuracy= 0.994K Coefficient= 0.988

May 7th 2010BTD

Ash Not AshNN Ash 99.40% 0.60%

Not Ash 19.60% 80.40%

Overall Accuracy= 0.901K Coefficient= 0.803 April 19th 2010

Confusion Matrix computed onto the V sets:

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Ash Retrieval Results

Scatter plots computed onto the V sets:

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NN procedure – MODTRAN based procedure results comparison

April 19th 2010

BTD – MODTRAN Ash Retrieval

NN Ash Retrieval

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NN procedure – MODTRAN based procedure results comparison

May 6th 2010

BTD – MODTRAN Ash Retrieval

NN Ash Retrieval

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NN procedure – MODTRAN based procedure results comparison

May 7th 2010

BTD – MODTRAN Ash Retrieval

NN Ash Retrieval

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The Grismvotn Eruption

NN Ash RetrievalBTD – MODTRAN Ash Retrieval

The eruption events of the Icelandic Grismvotn volcano have offered an interesting opportunity to test the NN procedure. The NNs trained onto Eyjafjallajokull have been used to retrieve the Ash mass of the May 22nd 2011 eruption.

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NN Ash RetrievalBTD – MODTRAN Ash Retrieval

The Grismvotn Eruption

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We investigated the possibility of applying the NNs to the problems of

Ash detection and Ash mass retrieval.

A minimum set of MODIS channels have been used.

The obtained results show that the trained NNs can be used on new

area under particular conditions (sea surface temperature,

atmospheric profile) and can replace the BTD retrieval procedure in

the crisis phase management.

Future investigations will concern the study of information content of

other MODIS channels to improve the discrimination of meteorological

clouds, as well as the inversion of other parameters such as the ash

optical thickness (AOT) and the ash effective radius (re).

Conclusion and Future Investigations

Page 28: 1 Earth Observation Laboratory – Tor  Vergata  University, Rome, Italy

Thanks for attention.

Contact:

[email protected];

[email protected];

[email protected]