Statistical Inversion Algorithm for MODIS AOD Retrieval...MODIS AOD retrieval was developed...

Statistical Inversion Algorithm forMODIS AOD RetrievalAntti Lipponenantti.lipponen@fmi.fi

Finnish Meteorological InstituteYoram Kaufman Memorial SymposiumJune 21, 2016

• Tero Mielonen (FMI)

• Mikko Pitkänen (FMI)

• Rob Levy (GSFC)

• Ville Kolehmainen (UEF)

• Sami Romakkaniemi (FMI)

• Antti Arola (FMI)

A. Lipponen: Statistical Inversion for MODIS AOD Retrieval

Typical granule: 27 September 2009

AERONET stations0.00

AERONET

AERONETDark Target

AERONETDark TargetNew

sum(|error|) ≈ 0.53

sum(|error|) ≈ 0.30

New retrieval algorithm

1. Statistical (Bayesian) inversion

2. Modified surface reflectance relationship

3. Quantities retrieved

• AOD

• fine mode fraction

• surface reflectances at 466 and 644 nm

• AOD

Figure from http://darktarget.gsfc.nasa.gov/algorithm/land

1. Statistical inversion

0.0 0.2 0.4 0.6 0.8 1.0 1.2 1.4AOD τ

ity fu

π(τ|ρ) =π(ρ|τ)π(τ)π(ρ)

Bayes' theorem

0.0 0.2 0.4 0.6 0.8 1.0 1.2 1.4AOD τ

ity fu

Prior distribution π(τ)

0.0 0.2 0.4 0.6 0.8 1.0 1.2 1.4AOD τ

ity fu

Prior distribution π(τ)Likelihood distribution π(ρ|τ)

0.0 0.2 0.4 0.6 0.8 1.0 1.2 1.4AOD τ

ity fu

Prior distribution π(τ)Likelihood distribution π(ρ|τ)Posterior distribution π(τ|ρ)

1. Statistical inversion - prior distributions

1. Statistical inversion - prior distributionsFebruary

September

1. Statistical inversion - likelihood distributions

ρ = f (τ, η, ρs0.466, ρs

0.644) + e

• Radiative transfer model• Lookup tables from Dark Target

• Gaussian noise model for e

• Results in Gaussian likelihood distribution

Original figure from Levy, Remer, Mattoo, Vermote and Kaufman, JGR, 2007.

0.00 0.05 0.10 0.15 0.20 0.25 0.30 0.35Input surface reflectance

2.1µm→ 0.644 µm0.644µm→ 0.466 µm

2.1µm→ 0.644 µm0.644µm→ 0.466 µmmodified 2.1µm→ 0.644 µmmodified 0.644µm→ 0.466 µm

3. Quantities retrieved - AOD, FMF, ρs × 2

modified 2.1µm→ 0.644 µmmodified 0.644µm→ 0.466 µm

Results

Europe

SouthAmericaSouthAfrica

NorthAmerica

SouthAsia

Results

Europe

SouthAmericaSouthAfrica

NorthAmerica

SouthAsia

Results - North America

• 15 granules / month (180 granules)

• Total of 656 AERONET comparisons

0.0 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8AOD (AERONET)

Inside ±0. 05± 0. 15 ∗AODAERONET envelope: 49.1%Median absolute error: 0.066

Bias: 0.076

DARK TARGET

0.0 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8AOD (AERONET)

Inside ±0. 05± 0. 15 ∗AODAERONET envelope: 66.8%Median absolute error: 0.042

Bias: 0.020

Results - Median absolute error in AOD

0.00 0.02 0.04 0.06 0.08 0.10Median absolute error in AOD

South Asia

North America

South America

Europe

Overall

South Asia

North America

South America

Europe

OverallDark Target

South Asia

North America

South America

Europe

OverallDark TargetNew

South Asia

North America

South America

Europe

Overall

18% Dark TargetNew

Results - Bias in AOD

0.02 0.00 0.02 0.04 0.06 0.08Bias in AOD

South Asia

North America

South America

Europe

Overall

0.02 0.00 0.02 0.04 0.06 0.08Bias in AOD

South Asia

North America

South America

Europe

OverallDark Target

0.02 0.00 0.02 0.04 0.06 0.08Bias in AOD

South Asia

North America

South America

Europe

OverallDark TargetNew

Conclusions

• A statistical inversion based inversion algorithm forMODIS AOD retrieval was developed

• Significantly improves the accuracy of retrieved AODin most of test areas

1. Spatial correlation models

3. Surface reflectance is estimated in additionto AOD and FMF

Conclusions

• Manuscript under preparation, will be submitted soon

• Code package (Python) will be released with the paper• Want early access to the codes? Please ask

antti.lipponen@fmi.fi

• Want to try the algorithm e.g. with differentinstrument or in retrieval of other quantities?

• Have ideas to further develop theinversion algorithm?

• All comments, ideas, etc. are very welcome

Conclusions

• Manuscript under preparation, will be submitted soon

• Code package (Python) will be released with the paper• Want early access to the codes? Please ask

• Want to try the algorithm e.g. with differentinstrument or in retrieval of other quantities?

• Have ideas to further develop theinversion algorithm?

• All comments, ideas, etc. are very welcome

Thank you for your attention!

Statistical Inversion Algorithm for MODIS AOD Retrieval...MODIS AOD retrieval was developed...

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