{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,3,13]],"date-time":"2026-03-13T14:57:40Z","timestamp":1773413860413,"version":"3.50.1"},"reference-count":38,"publisher":"MDPI AG","issue":"7","license":[{"start":{"date-parts":[[2018,7,12]],"date-time":"2018-07-12T00:00:00Z","timestamp":1531353600000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"funder":[{"DOI":"10.13039\/501100001871","name":"Funda\u00e7\u00e3o para a Ci\u00eancia e a Tecnologia","doi-asserted-by":"publisher","award":["SFRH\/BD\/96466\/2013"],"award-info":[{"award-number":["SFRH\/BD\/96466\/2013"]}],"id":[{"id":"10.13039\/501100001871","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Remote Sensing"],"abstract":"<jats:p>The correction of directional effects on satellite-retrieved land surface temperature (LST) is of high relevance for a proper interpretation of spatial and temporal features contained in LST fields. This study presents a methodology to correct such directional effects in an operational setting. This methodology relies on parametric models, which are computationally efficient and require few input information, making them particularly appropriate for operational use. The models are calibrated with LST data collocated in time and space from MODIS (Aqua and Terra) and SEVIRI (Meteosat), for an area covering the entire SEVIRI disk and encompassing the full year of 2011. Past studies showed that such models are prone to overfitting, especially when there are discrepancies between the LSTs that are not related to the viewing geometry (e.g., emissivity, atmospheric correction). To reduce such effects, pixels with similar characteristics are first grouped by means of a cluster analysis. The models\u2019 calibration is then performed on each one of the selected clusters. The derived coefficients reflect the expected impact of vegetation and topography on the anisotropy of LST. Furthermore, when tested with independent data, the calibrated models are shown to maintain the capability of representing the angular dependency of the differences between LST derived from polar-orbiter (MODIS) and geostationary (Meteosat, GOES and Himawari) satellites. The methodology presented here is currently being used to estimate the deviation of LST products with respect to what would be obtained for a reference view angle (e.g., nadir), therefore contributing to the harmonization of LST products.<\/jats:p>","DOI":"10.3390\/rs10071114","type":"journal-article","created":{"date-parts":[[2018,7,12]],"date-time":"2018-07-12T11:19:24Z","timestamp":1531394364000},"page":"1114","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":26,"title":["A Methodology to Simulate LST Directional Effects Based on Parametric Models and Landscape Properties"],"prefix":"10.3390","volume":"10","author":[{"ORCID":"https:\/\/orcid.org\/0000-0003-0737-0824","authenticated-orcid":false,"given":"Sofia L.","family":"Ermida","sequence":"first","affiliation":[{"name":"Instituto Portugu\u00eas do Mar e da Atmosfera (IPMA), 1749-077 Lisboa, Portugal"},{"name":"Instituto Dom Luiz (IDL), Faculdade de Ci\u00eancias, Universidade de Lisboa, 1749-016 Lisboa, Portugal"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0001-8640-9170","authenticated-orcid":false,"given":"Isabel F.","family":"Trigo","sequence":"additional","affiliation":[{"name":"Instituto Portugu\u00eas do Mar e da Atmosfera (IPMA), 1749-077 Lisboa, Portugal"},{"name":"Instituto Dom Luiz (IDL), Faculdade de Ci\u00eancias, Universidade de Lisboa, 1749-016 Lisboa, Portugal"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0003-1699-9886","authenticated-orcid":false,"given":"Carlos C.","family":"DaCamara","sequence":"additional","affiliation":[{"name":"Instituto Dom Luiz (IDL), Faculdade de Ci\u00eancias, Universidade de Lisboa, 1749-016 Lisboa, Portugal"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Ana C.","family":"Pires","sequence":"additional","affiliation":[{"name":"Instituto Portugu\u00eas do Mar e da Atmosfera (IPMA), 1749-077 Lisboa, Portugal"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"1968","published-online":{"date-parts":[[2018,7,12]]},"reference":[{"key":"ref_1","doi-asserted-by":"crossref","first-page":"153","DOI":"10.1016\/0168-1923(95)02259-Z","article-title":"Terminology in thermal infrared remote sensing of natural surfaces","volume":"77","author":"Norman","year":"1995","journal-title":"Agric. For. Meteorol."},{"key":"ref_2","doi-asserted-by":"crossref","unstructured":"Kerr, Y.H., Lagouarde, J.P., Nerry, F., and Ottl\u00e9, C. (2004). Land surface temperature retrieval techniques and applications. Thermal Remote Sensing in Land Surface Processes, CRC Press.","DOI":"10.1201\/9780203502174-c3"},{"key":"ref_3","doi-asserted-by":"crossref","first-page":"17","DOI":"10.1016\/S0034-4257(99)00085-1","article-title":"Experimental study of brightness surface temperature angular variations of maritime pine (Pinus pinaster) stands","volume":"72","author":"Lagouarde","year":"2000","journal-title":"Remote Sens. Environ."},{"key":"ref_4","doi-asserted-by":"crossref","first-page":"1941","DOI":"10.1109\/TGRS.2004.831886","article-title":"Directional effects in a daily AVHRR land surface temperature dataset over Africa","volume":"42","author":"Pinheiro","year":"2004","journal-title":"IEEE Trans. Geosci. Remote Sens."},{"key":"ref_5","doi-asserted-by":"crossref","first-page":"1036","DOI":"10.1109\/TGRS.2005.863827","article-title":"Modeling the observed angular anisotropy of land surface temperature in a Savanna","volume":"44","author":"Pinheiro","year":"2006","journal-title":"IEEE Trans. Geosci. Remote Sens."},{"key":"ref_6","doi-asserted-by":"crossref","first-page":"3717","DOI":"10.1080\/01431160500159834","article-title":"Intercalibration of NOAA and Meteosat window channel brightness temperatures","volume":"26","author":"Barroso","year":"2005","journal-title":"Int. J. Remote Sens."},{"key":"ref_7","first-page":"1","article-title":"An assessment of remotely sensed land surface temperature","volume":"113","author":"Trigo","year":"2008","journal-title":"J. Geophys. Res."},{"key":"ref_8","doi-asserted-by":"crossref","first-page":"16","DOI":"10.1016\/j.rse.2014.03.016","article-title":"Validation of remotely sensed surface temperature over an oak woodland landscape\u2014The problem of viewing and illumination geometries","volume":"148","author":"Ermida","year":"2014","journal-title":"Remote Sens. Environ."},{"key":"ref_9","doi-asserted-by":"crossref","unstructured":"Duffour, C., Lagouarde, J.P., Olioso, A., Demarty, J., and Roujean, J.L. (2016). Driving factors of the directional variability of thermal infrared signal in temperate regions. Remote Sens. Environ., 177.","DOI":"10.1016\/j.rse.2016.02.024"},{"key":"ref_10","doi-asserted-by":"crossref","first-page":"362","DOI":"10.1016\/j.rse.2014.10.019","article-title":"An evaluation of SCOPE: A tool to simulate the directional anisotropy of satellite-measured surface temperatures","volume":"158","author":"Duffour","year":"2015","journal-title":"Remote Sens. Environ."},{"key":"ref_11","doi-asserted-by":"crossref","first-page":"203","DOI":"10.1016\/0034-4257(92)90086-Y","article-title":"A physical model for interpreting the land surface temperature obtained by remote sensors over incomplete canopies","volume":"39","author":"Caselles","year":"1992","journal-title":"Remote Sens. Environ."},{"key":"ref_12","doi-asserted-by":"crossref","first-page":"193","DOI":"10.1016\/0034-4257(90)90030-P","article-title":"Thermal infrared radiance model for interpreting the directional radiometric temperature of a vegetative surface","volume":"33","author":"Sobrino","year":"1990","journal-title":"Remote Sens. Environ."},{"key":"ref_13","doi-asserted-by":"crossref","first-page":"1060","DOI":"10.1109\/36.312894","article-title":"A thermal exitance and energy balance model for forest canopies","volume":"32","author":"Smith","year":"1994","journal-title":"IEEE Trans. Geosci. Remote Sens."},{"key":"ref_14","doi-asserted-by":"crossref","first-page":"276","DOI":"10.1109\/36.134078","article-title":"Geometric-optical bidirectional reflectance modeling of the discrete crown vegetation canopy: Effect of crown shape and mutual shadowing","volume":"30","author":"Li","year":"1992","journal-title":"Trans. Geosci. Remote Sens."},{"key":"ref_15","doi-asserted-by":"crossref","unstructured":"Ermida, S.L., Trigo, I.F., DaCamara, C.C., and Roujean, J.-L. (2018). Assessing the potential of parametric models to correct directional effects on local to global remotely sensed LST. Remote Sens. Environ., 209.","DOI":"10.1016\/j.rse.2018.02.066"},{"key":"ref_16","doi-asserted-by":"crossref","first-page":"L23802","DOI":"10.1029\/2012GL054059","article-title":"Angular anisotropy of satellite observations of land surface temperature","volume":"39","author":"Vinnikov","year":"2012","journal-title":"Geophys. Res. Lett."},{"key":"ref_17","doi-asserted-by":"crossref","unstructured":"Ermida, S.L., DaCamara, C.C., Trigo, I.F., Pires, A.C., Ghent, D., and Remedios, J. (2017). Modelling directional effects on remotely sensed land surface temperature. Remote Sens. Environ., 190.","DOI":"10.1016\/j.rse.2016.12.008"},{"key":"ref_18","doi-asserted-by":"crossref","first-page":"173","DOI":"10.1007\/s00703-008-0325-4","article-title":"Directional anisotropy in thermal infrared measurements over Toulouse city centre during the CAPITOUL measurement campaigns: First results","volume":"102","author":"Lagouarde","year":"2008","journal-title":"Meteorol. Atmos. Phys."},{"key":"ref_19","doi-asserted-by":"crossref","first-page":"3123","DOI":"10.1109\/TGRS.2010.2044509","article-title":"Modeling angular dependences in land surface temperatures from the SEVIRI instrument onboard the geostationary meteosat second generation satellites","volume":"48","author":"Rasmussen","year":"2010","journal-title":"IEEE Trans. Geosci. Remote Sens."},{"key":"ref_20","doi-asserted-by":"crossref","first-page":"167","DOI":"10.1016\/0168-1923(95)02260-5","article-title":"An experimental study of angular effects on surface temperature for various plant canopies and bare soils","volume":"77","author":"Lagouarde","year":"1995","journal-title":"Agric. For. Meteorol."},{"key":"ref_21","doi-asserted-by":"crossref","first-page":"2725","DOI":"10.1080\/01431161003743199","article-title":"The satellite application facility for land surface analysis","volume":"32","author":"Trigo","year":"2011","journal-title":"Int. J. Remote Sens."},{"key":"ref_22","doi-asserted-by":"crossref","first-page":"5373","DOI":"10.1080\/01431160802036565","article-title":"Radiance-based validation of the V5 MODIS land-surface temperature product","volume":"29","author":"Wan","year":"2008","journal-title":"Int. J. Remote Sens."},{"key":"ref_23","doi-asserted-by":"crossref","first-page":"892","DOI":"10.1109\/36.508406","article-title":"A generalized split-window algorithm for retrieving land-surface temperature from space","volume":"34","author":"Wan","year":"1996","journal-title":"IEEE Trans. Geosci. Remote Sens."},{"key":"ref_24","doi-asserted-by":"crossref","first-page":"523","DOI":"10.1109\/TGRS.2009.2027697","article-title":"Quantifying the uncertainty of land surface temperature retrievals from SEVIRI\/Meteosat","volume":"48","author":"Freitas","year":"2010","journal-title":"IEEE Trans. Geosci. Remote Sens."},{"key":"ref_25","unstructured":"Meeus, J. (1991). Astronomical Algorithms, Willmann-Bell, Incorporated. [2nd ed.]."},{"key":"ref_26","doi-asserted-by":"crossref","first-page":"112","DOI":"10.1137\/S1052623496303470","article-title":"Convergence properties of the nelder-mead simplex method in low dimensions","volume":"9","author":"Lagarias","year":"1998","journal-title":"SIAM J. Optim."},{"key":"ref_27","unstructured":"Hoboken, N. (1984). Multivariate Observations, John Wiley & Sons."},{"key":"ref_28","doi-asserted-by":"crossref","first-page":"1060","DOI":"10.1175\/1520-0450(2003)042<1060:TABOET>2.0.CO;2","article-title":"The angular behavior of emitted thermal infrared radiation (8\u201312 \u03bcm) at a semiarid site","volume":"42","author":"McAtee","year":"2003","journal-title":"J. Appl. Meteorol."},{"key":"ref_29","doi-asserted-by":"crossref","first-page":"2299","DOI":"10.1080\/01431169108955259","article-title":"Angular variation of land surface spectral emissivity in the thermal infrared: Laboratory investigations on bare soils","volume":"12","author":"Labed","year":"1991","journal-title":"Int. J. Remote Sens."},{"key":"ref_30","doi-asserted-by":"crossref","first-page":"498","DOI":"10.1016\/j.isprsjprs.2011.02.008","article-title":"Angular effect of MODIS emissivity products and its application to the split-window algorithm","volume":"66","author":"Ren","year":"2011","journal-title":"ISPRS J. Photogramm. Remote Sens."},{"key":"ref_31","doi-asserted-by":"crossref","first-page":"3931","DOI":"10.1364\/AO.38.003931","article-title":"Angular variation of thermal infrared emissivity for some natural surfaces from experimental measurements","volume":"38","author":"Sobrino","year":"1999","journal-title":"Appl. Opt."},{"key":"ref_32","doi-asserted-by":"crossref","first-page":"906","DOI":"10.1109\/TGRS.1986.289706","article-title":"Geometric-optical bidirectional reflectance modeling of a conifer forest canopy","volume":"GE-24","author":"Li","year":"1986","journal-title":"Trans. Geosci. Remote Sens."},{"key":"ref_33","doi-asserted-by":"crossref","first-page":"809","DOI":"10.1109\/36.7712","article-title":"Invertible canopy reflectance modeling of vegetation structure in semiarid woodland","volume":"26","author":"Franklin","year":"1988","journal-title":"IEEE Trans. Geosci. Remote Sens."},{"key":"ref_34","doi-asserted-by":"crossref","first-page":"197","DOI":"10.1016\/S0034-4257(99)00080-2","article-title":"A parametric hot spot model for optical remote sensing application","volume":"71","author":"Roujean","year":"2000","journal-title":"Remote Sens. Environ."},{"key":"ref_35","doi-asserted-by":"crossref","first-page":"1464","DOI":"10.1109\/LGRS.2013.2260319","article-title":"Directional viewing effects on satellite land surface temperature products over sparse vegetation canopies\u2014A multisensor analysis","volume":"10","author":"Guillevic","year":"2013","journal-title":"IEEE Geosci. Remote Sens. Lett."},{"key":"ref_36","doi-asserted-by":"crossref","first-page":"250","DOI":"10.1016\/j.rse.2016.08.012","article-title":"A two parameter model to simulate thermal infrared directional effects for remote sensing applications","volume":"186","author":"Duffour","year":"2016","journal-title":"Remote Sens. Environ."},{"key":"ref_37","doi-asserted-by":"crossref","first-page":"4458","DOI":"10.1109\/TGRS.2011.2144604","article-title":"Directional effects on land surface temperature estimation from meteosat second generation for savanna landscapes","volume":"49","author":"Rasmussen","year":"2011","journal-title":"IEEE Trans. Geosci. Remote Sens."},{"key":"ref_38","doi-asserted-by":"crossref","first-page":"574","DOI":"10.1109\/LGRS.2013.2282492","article-title":"Directional anisotropy of brightness surface temperature over vineyards: Case study over the Medoc Region (SW France)","volume":"11","author":"Lagouarde","year":"2014","journal-title":"IEEE Geosci. Remote Sens. Lett."}],"container-title":["Remote Sensing"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.mdpi.com\/2072-4292\/10\/7\/1114\/pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2025,10,11]],"date-time":"2025-10-11T15:11:53Z","timestamp":1760195513000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.mdpi.com\/2072-4292\/10\/7\/1114"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2018,7,12]]},"references-count":38,"journal-issue":{"issue":"7","published-online":{"date-parts":[[2018,7]]}},"alternative-id":["rs10071114"],"URL":"https:\/\/doi.org\/10.3390\/rs10071114","relation":{},"ISSN":["2072-4292"],"issn-type":[{"value":"2072-4292","type":"electronic"}],"subject":[],"published":{"date-parts":[[2018,7,12]]}}}