Gaussian Processes Retrieval of LAI from Sentinel-2 Top-of-Atmosphere Radiance Data
Jose Estevez, Jorge Vicent, Juan Pablo Rivera-Caicedo, Pablo, Morcillo-Pallar\'es, Francesco Vuolo, Neus Sabater, Gustau Camps-Valls,, Jos\'e Moreno, Jochem Verrelst

TL;DR
This paper demonstrates that leaf area index (LAI) can be accurately retrieved directly from Sentinel-2 top-of-atmosphere radiance data using a hybrid machine learning approach, bypassing the need for atmospheric correction.
Contribution
It introduces a novel method for LAI retrieval from TOA radiance data using Gaussian processes, validated against bottom-of-atmosphere retrievals, without atmospheric correction.
Findings
VHGPR models produce consistent LAI maps at TOA and BOA levels.
LAI can be retrieved directly from TOA radiance data under clear sky conditions.
Hybrid algorithms enable LAI estimation without atmospheric correction.
Abstract
Retrieval of vegetation properties from satellite and airborne optical data usually takes place after atmospheric correction, yet it is also possible to develop retrieval algorithms directly from top-of-atmosphere (TOA) radiance data. One of the key vegetation variables that can be retrieved from at-sensor TOA radiance data is the leaf area index (LAI) if algorithms account for variability in the atmosphere. We demonstrate the feasibility of LAI retrieval from Sentinel-2 (S2) TOA radiance data (L1C product) in a hybrid machine learning framework. To achieve this, the coupled leaf-canopy-atmosphere radiative transfer models PROSAIL-6S were used to simulate a look-up table (LUT) of TOA radiance data and associated input variables. This LUT was then used to train the Bayesian machine learning algorithms Gaussian processes regression (GPR) and variational heteroscedastic GPR (VHGPR).…
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