{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,2,12]],"date-time":"2026-02-12T14:22:35Z","timestamp":1770906155594,"version":"3.50.1"},"reference-count":33,"publisher":"MDPI AG","issue":"6","license":[{"start":{"date-parts":[[2017,5,26]],"date-time":"2017-05-26T00:00:00Z","timestamp":1495756800000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"funder":[{"name":"National Natural Science Fund of China","award":["41501457"],"award-info":[{"award-number":["41501457"]}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Remote Sensing"],"abstract":"<jats:p>Land surface temperature and fractional vegetation coverage (LST\/FVC) space is a classical model for estimating evapotranspiration, soil moisture, and drought monitoring based on remote sensing. One of the key issues in its utilization is to determine its boundaries, i.e., the dry and wet edges. In this study, we revisited and compared three methods that were presented by Moran et al. (1994), Long et al. (2012), and Sun (2016) for calculating the dry and wet edges theoretically. Results demonstrated that: (1) for the dry edge, the Sun method is equal to the Long method and they have greater vegetation temperature than that of the Moran method. (2) With respect to the wet edge, there are greater differences among the three methods. Generally, Long\u2019s wet edge is a horizontal line equaling air temperature. Sun\u2019s wet edge is an oblique line and is higher than that of the Long\u2019s. Moran\u2019s wet edge intersects them with a higher soil temperature and a lower vegetation temperature. (3) The Sun and Long methods are simpler in calculation and can circumvent some complex parameters as compared with the Moran method. Moreover, they outperformed the Moran method in a comparison of estimating latent heat flux (LE), where determination coefficients varied between 0.45 ~ 0.66 (Sun), 0.47 ~ 0.68 (Long), and 0.39 ~ 0.57 (Moran) among field stations.<\/jats:p>","DOI":"10.3390\/rs9060528","type":"journal-article","created":{"date-parts":[[2017,5,30]],"date-time":"2017-05-30T04:35:42Z","timestamp":1496118942000},"page":"528","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":27,"title":["Comparison of Three Theoretical Methods for Determining Dry and Wet Edges of the LST\/FVC Space: Revisit of Method Physics"],"prefix":"10.3390","volume":"9","author":[{"given":"Hao","family":"Sun","sequence":"first","affiliation":[{"name":"College of Geoscience and Surveying Engineering, China University of Mining and Technology, Beijing 100083, China"}]},{"given":"Yanmei","family":"Wang","sequence":"additional","affiliation":[{"name":"College of Geoscience and Surveying Engineering, China University of Mining and Technology, Beijing 100083, China"}]},{"given":"Weihan","family":"Liu","sequence":"additional","affiliation":[{"name":"College of Geoscience and Surveying Engineering, China University of Mining and Technology, Beijing 100083, China"}]},{"given":"Shuyun","family":"Yuan","sequence":"additional","affiliation":[{"name":"College of Geoscience and Surveying Engineering, China University of Mining and Technology, Beijing 100083, China"}]},{"given":"Ruwei","family":"Nie","sequence":"additional","affiliation":[{"name":"College of Geoscience and Surveying Engineering, China University of Mining and Technology, Beijing 100083, China"}]}],"member":"1968","published-online":{"date-parts":[[2017,5,26]]},"reference":[{"key":"ref_1","doi-asserted-by":"crossref","first-page":"875","DOI":"10.1038\/nclimate1908","article-title":"The role of satellite remote sensing in climate change studies","volume":"3","author":"Yang","year":"2013","journal-title":"Nat. Clim. Chang."},{"key":"ref_2","doi-asserted-by":"crossref","first-page":"195","DOI":"10.1016\/S0034-4257(96)00215-5","article-title":"A two-source time-integrated model for estimating surface fluxes using thermal infrared remote sensing","volume":"60","author":"Anderson","year":"1997","journal-title":"Remote Sens. Environ."},{"key":"ref_3","doi-asserted-by":"crossref","first-page":"198","DOI":"10.1016\/S0022-1694(98)00253-4","article-title":"A remote sensing surface energy balance algorithm for land (sebal). 1. Formulation","volume":"212\u2013213","author":"Bastiaanssen","year":"1998","journal-title":"J. Hydrol."},{"key":"ref_4","doi-asserted-by":"crossref","first-page":"380","DOI":"10.1061\/(ASCE)0733-9437(2007)133:4(380)","article-title":"Satellite-based energy balance for mapping evapotranspiration with internalized calibration (metric)\u2014Model","volume":"133","author":"Allen","year":"2007","journal-title":"J. Irrig. Drainage Eng.-ASCE"},{"key":"ref_5","doi-asserted-by":"crossref","first-page":"3567","DOI":"10.1080\/01431160601034886","article-title":"Soil moisture retrieval from modis data in northern China plain using thermal inertia model","volume":"28","author":"Cai","year":"2007","journal-title":"Int. J. Remote Sens."},{"key":"ref_6","doi-asserted-by":"crossref","first-page":"3801","DOI":"10.3390\/s90503801","article-title":"A review of current methodologies for regional evapotranspiration estimation from remotely sensed data","volume":"9","author":"Li","year":"2009","journal-title":"Sensors"},{"key":"ref_7","doi-asserted-by":"crossref","unstructured":"Wang, K.C., and Dickinson, R.E. (2012). A review of global terrestrial evapotranspiration: Observation, modeling, climatology, and climatic variability. Rev. Geophys., 50.","DOI":"10.1029\/2011RG000373"},{"key":"ref_8","doi-asserted-by":"crossref","first-page":"36","DOI":"10.1016\/j.pce.2015.02.009","article-title":"Surface soil moisture retrievals from remote sensing: Current status, products & future trends","volume":"83\u201384","author":"Petropoulos","year":"2015","journal-title":"Phys. Chem. Earth Parts A\/B\/C"},{"key":"ref_9","doi-asserted-by":"crossref","first-page":"62","DOI":"10.1016\/j.gloplacha.2008.12.008","article-title":"A satellite-based daily actual evapotranspiration estimation algorithm over south florida","volume":"67","author":"Jiang","year":"2009","journal-title":"Glob. Planet. Chang."},{"key":"ref_10","doi-asserted-by":"crossref","first-page":"540","DOI":"10.1016\/j.rse.2009.10.012","article-title":"An application of the ts-vi triangle method with enhanced edges determination for evapotranspiration estimation from modis data in arid and semi-arid regions: Implementation and validation","volume":"114","author":"Tang","year":"2010","journal-title":"Remote Sens. Environ."},{"key":"ref_11","doi-asserted-by":"crossref","first-page":"1612","DOI":"10.3390\/s7081612","article-title":"An overview of the \u201ctriangle method\u201d for estimating surface evapotranspiration and soil moisture from satellite imagery","volume":"7","author":"Carlson","year":"2007","journal-title":"Sensors"},{"key":"ref_12","doi-asserted-by":"crossref","first-page":"336","DOI":"10.1109\/JSTARS.2015.2500605","article-title":"Two-stage trapezoid: A new interpretation of the land surface temperature and fractional vegetation coverage space","volume":"9","author":"Sun","year":"2016","journal-title":"IEEE J. Sel. Top. Appl. Earth Obs. Remote Sens."},{"key":"ref_13","doi-asserted-by":"crossref","first-page":"224","DOI":"10.1177\/0309133309338997","article-title":"A review of TS\/VI remote sensing based methods for the retrieval of land surface energy fluxes and soil surface moisture","volume":"33","author":"Petropoulos","year":"2009","journal-title":"Prog. Phys. Geogr."},{"key":"ref_14","doi-asserted-by":"crossref","first-page":"81","DOI":"10.1007\/s00704-013-1033-7","article-title":"Estimating mean air temperature using modis day and night land surface temperatures","volume":"118","author":"Sun","year":"2014","journal-title":"Theor. Appl. Climatol."},{"key":"ref_15","doi-asserted-by":"crossref","first-page":"213","DOI":"10.1016\/S0034-4257(01)00274-7","article-title":"A simple interpretation of the surface temperature\/vegetation index space for assessment of surface moisture status","volume":"79","author":"Sandholt","year":"2002","journal-title":"Remote Sens. Environ."},{"key":"ref_16","unstructured":"Wang, P.X., Li, X.W., Gong, J.Y., and Song, C.H. (2001, January 9\u201313). Vegetation temperature condition index and its application for drought monitoring. Proceedings of the IEEE 2001 International Geoscience and Remote Sensing Symposium, 2001, (IGARSS \u201901), Sydney, Australia."},{"key":"ref_17","doi-asserted-by":"crossref","first-page":"W02528","DOI":"10.1029\/2011WR010607","article-title":"A modified surface energy balance algorithm for land (m-sebal) based on a trapezoidal framework","volume":"48","author":"Long","year":"2012","journal-title":"Water Resour. Res."},{"key":"ref_18","doi-asserted-by":"crossref","first-page":"370","DOI":"10.1016\/j.rse.2012.02.015","article-title":"A two-source trapezoid model for evapotranspiration (TTME) from satellite imagery","volume":"121","author":"Long","year":"2012","journal-title":"Remote Sens. Environ."},{"key":"ref_19","doi-asserted-by":"crossref","unstructured":"Sun, H. (2016). A two-source model for estimating evaporative fraction (TMEF) coupling priestley-taylor formula and two-stage trapezoid. Remote Sens., 8.","DOI":"10.3390\/rs8030248"},{"key":"ref_20","first-page":"1","article-title":"Deriving theoretical boundaries to address scale dependencies of triangle models for evapotranspiration estimation","volume":"117","author":"Long","year":"2012","journal-title":"J. Geophys. Res. Atmos."},{"key":"ref_21","doi-asserted-by":"crossref","first-page":"246","DOI":"10.1016\/0034-4257(94)90020-5","article-title":"Estimating crop water deficit using the relation between surface-air temperature and spectral vegetation index","volume":"49","author":"Moran","year":"1994","journal-title":"Remote Sens. Environ."},{"key":"ref_22","doi-asserted-by":"crossref","first-page":"1431","DOI":"10.5194\/hess-17-1431-2013","article-title":"Estimation of evapotranspiration from modis toa radiances in the poyang lake basin, China","volume":"17","author":"Peng","year":"2013","journal-title":"Hydrol. Earth Syst. Sci."},{"key":"ref_23","doi-asserted-by":"crossref","first-page":"293","DOI":"10.1016\/j.rse.2006.02.007","article-title":"Estimation of evaporative fraction from a combination of day and night land surface temperatures and NDVI: A new method to determine the priestley-taylor parameter","volume":"102","author":"Wang","year":"2006","journal-title":"Remote Sens. Environ."},{"key":"ref_24","doi-asserted-by":"crossref","first-page":"329","DOI":"10.1029\/2000WR900255","article-title":"Estimation of surface evaporation map over southern great plains using remote sensing data","volume":"37","author":"Jiang","year":"2001","journal-title":"Water Resour. Res."},{"key":"ref_25","doi-asserted-by":"crossref","first-page":"2773","DOI":"10.1029\/1999GL006049","article-title":"A methodology for estimation of surface evapotranspiration over large areas using remote sensing observations","volume":"26","author":"Jiang","year":"1999","journal-title":"Geophys. Res. Lett."},{"key":"ref_26","doi-asserted-by":"crossref","first-page":"161","DOI":"10.1029\/95WR02920","article-title":"On the concept of equilibrium evaporation and the value of the priestley-taylor coefficient","volume":"32","author":"Eichinger","year":"1996","journal-title":"Water Resour. Res."},{"key":"ref_27","doi-asserted-by":"crossref","first-page":"179","DOI":"10.1023\/A:1000281114105","article-title":"A theoretical basis for the priestley-taylor coefficient","volume":"82","author":"Lhomme","year":"1997","journal-title":"Bound. Layer Meteorol."},{"key":"ref_28","doi-asserted-by":"crossref","unstructured":"Li, X., Li, X.W., Li, Z.Y., Ma, M.G., Wang, J., Xiao, Q., Liu, Q., Che, T., Chen, E.X., and Yan, G.J. (2009). Watershed allied telemetry experimental research. J. Geophys. Res. Atmos., 114.","DOI":"10.1029\/2008JD011590"},{"key":"ref_29","doi-asserted-by":"crossref","first-page":"1291","DOI":"10.5194\/hess-15-1291-2011","article-title":"A comparison of eddy-covariance and large aperture scintillometer measurements with respect to the energy balance closure problem","volume":"15","author":"Liu","year":"2011","journal-title":"Hydrol. Earth Syst. Sci."},{"key":"ref_30","doi-asserted-by":"crossref","first-page":"5448","DOI":"10.1080\/01431161.2015.1101504","article-title":"Comparing surface and canopy layer urban heat islands over Beijing using modis data","volume":"36","author":"Sun","year":"2015","journal-title":"Int. J. Remote Sens."},{"key":"ref_31","first-page":"607","article-title":"Albedo characteristics in different underlying surfaces in mid and upper-reaches of heihe and its impact factor analysis","volume":"30","author":"Sun","year":"2011","journal-title":"Plateau Meteorol."},{"key":"ref_32","doi-asserted-by":"crossref","first-page":"4604","DOI":"10.3390\/rs70404604","article-title":"Regional leaf area index retrieval based on remote sensing: The role of radiative transfer model selection","volume":"7","author":"Yin","year":"2015","journal-title":"Remote Sens."},{"key":"ref_33","doi-asserted-by":"crossref","first-page":"865","DOI":"10.1080\/2150704X.2016.1193792","article-title":"Estimating daily maximum air temperature with modis data and a daytime temperature variation model in Beijing urban area","volume":"7","author":"Chen","year":"2016","journal-title":"Remote Sens. Lett."}],"container-title":["Remote Sensing"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.mdpi.com\/2072-4292\/9\/6\/528\/pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2025,10,11]],"date-time":"2025-10-11T18:37:07Z","timestamp":1760207827000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.mdpi.com\/2072-4292\/9\/6\/528"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2017,5,26]]},"references-count":33,"journal-issue":{"issue":"6","published-online":{"date-parts":[[2017,6]]}},"alternative-id":["rs9060528"],"URL":"https:\/\/doi.org\/10.3390\/rs9060528","relation":{},"ISSN":["2072-4292"],"issn-type":[{"value":"2072-4292","type":"electronic"}],"subject":[],"published":{"date-parts":[[2017,5,26]]}}}