{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,10,12]],"date-time":"2025-10-12T04:27:42Z","timestamp":1760243262622,"version":"build-2065373602"},"reference-count":59,"publisher":"MDPI AG","issue":"5","license":[{"start":{"date-parts":[[2014,4,25]],"date-time":"2014-04-25T00:00:00Z","timestamp":1398384000000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/3.0\/"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Remote Sensing"],"abstract":"<jats:p>The ultimate goal of our multi-article series is to demonstrate the Allometric Scaling and Resource Limitation (ASRL) approach for mapping tree heights and biomass. This third article tests the feasibility of the optimized ASRL model over China at both site (14 meteorological stations) and continental scales. Tree heights from the Geoscience Laser Altimeter System (GLAS) waveform data are used for the model optimizations. Three selected ASRL parameters (area of single leaf, \u03b1; exponent for canopy radius, \u03b7; and root absorption efficiency, \u03b3) are iteratively adjusted to minimize differences between the references and predicted tree heights. Key climatic variables (e.g., temperature, precipitation, and solar radiation) are needed for the model simulations. We also exploit the independent GLAS and in situ tree heights to examine the model performance. The predicted tree heights at the site scale are evaluated against the GLAS tree heights using a two-fold cross validation (RMSE = 1.72 m; R2 = 0.97) and bootstrapping (RMSE = 4.39 m; R2 = 0.81). The modeled tree heights at the continental scale (1 km spatial resolution) are compared to both GLAS (RMSE = 6.63 m; R2 = 0.63) and in situ (RMSE = 6.70 m; R2 = 0.52) measurements. Further, inter-comparisons against the existing satellite-based forest height maps have resulted in a moderate degree of agreements. Our results show that the optimized ASRL model is capable of satisfactorily retrieving tree heights over continental China at both scales. Subsequent studies will focus on the estimation of woody biomass after alleviating the discussed limitations.<\/jats:p>","DOI":"10.3390\/rs6053533","type":"journal-article","created":{"date-parts":[[2014,4,28]],"date-time":"2014-04-28T05:15:00Z","timestamp":1398662100000},"page":"3533-3553","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":17,"title":["Allometric Scaling and Resource Limitations Model of Tree Heights: Part 3. Model Optimization and Testing over Continental China"],"prefix":"10.3390","volume":"6","author":[{"given":"Xiliang","family":"Ni","sequence":"first","affiliation":[{"name":"State Key Laboratory of Remote Sensing Science, Institute of Remote Sensing and Digital Earth, Chinese Academy of Sciences, Beijing 100101, China"},{"name":"Department of Earth and Environment, Boston University, 675 Commonwealth Avenue, Boston, MA 02215, USA"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Taejin","family":"Park","sequence":"additional","affiliation":[{"name":"Department of Earth and Environment, Boston University, 675 Commonwealth Avenue, Boston, MA 02215, USA"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-9082-3494","authenticated-orcid":false,"given":"Sungho","family":"Choi","sequence":"additional","affiliation":[{"name":"Department of Earth and Environment, Boston University, 675 Commonwealth Avenue, Boston, MA 02215, USA"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Yuli","family":"Shi","sequence":"additional","affiliation":[{"name":"Department of Earth and Environment, Boston University, 675 Commonwealth Avenue, Boston, MA 02215, USA"},{"name":"School of Remote Sensing, Nanjing University of Information Science and Technology,  Nanjing 210044, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Chunxiang","family":"Cao","sequence":"additional","affiliation":[{"name":"State Key Laboratory of Remote Sensing Science, Institute of Remote Sensing and Digital Earth, Chinese Academy of Sciences, Beijing 100101, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Xuejun","family":"Wang","sequence":"additional","affiliation":[{"name":"Survey Planning and Design Institute, State Forest Administration of China, Beijing 100714, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Michael","family":"Lefsky","sequence":"additional","affiliation":[{"name":"Center for Ecological Analysis of Lidar, Natural Resource Ecology Laboratory,  Colorado State University, Fort Collins, CO 80523, USA"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Marc","family":"Simard","sequence":"additional","affiliation":[{"name":"Jet Propulsion Laboratory, California Institute of Technology, Pasadena, CA 91109, USA"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Ranga","family":"Myneni","sequence":"additional","affiliation":[{"name":"Department of Earth and Environment, Boston University, 675 Commonwealth Avenue, Boston, MA 02215, USA"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"1968","published-online":{"date-parts":[[2014,4,25]]},"reference":[{"key":"ref_1","doi-asserted-by":"crossref","first-page":"414","DOI":"10.1016\/j.tree.2007.05.001","article-title":"Regional ecosystem structure and function: Ecological insights from remote sensing of tropical forests","volume":"22","author":"Chambers","year":"2007","journal-title":"Trends Ecol. Evol"},{"key":"ref_2","doi-asserted-by":"crossref","first-page":"2320","DOI":"10.1126\/science.1058629","article-title":"Changes in forest biomass carbon storage in China between 1949 and 1998","volume":"292","author":"Fang","year":"2001","journal-title":"Science"},{"key":"ref_3","doi-asserted-by":"crossref","first-page":"421","DOI":"10.2307\/1942033","article-title":"A carbon budget for forests of the conterminous United States","volume":"5","author":"Turner","year":"1995","journal-title":"Ecol. Appl"},{"key":"ref_4","doi-asserted-by":"crossref","first-page":"14784","DOI":"10.1073\/pnas.261555198","article-title":"A large carbon sink in the woody biomass of northern forests","volume":"98","author":"Myneni","year":"2001","journal-title":"Proc. Natl. Acad. Sci. USA"},{"key":"ref_5","doi-asserted-by":"crossref","first-page":"9899","DOI":"10.1073\/pnas.1019576108","article-title":"Benchmark map of forest carbon stocks in tropical regions across three continents","volume":"108","author":"Saatchi","year":"2011","journal-title":"Proc. Natl. Acad. Sci. USA"},{"key":"ref_6","doi-asserted-by":"crossref","first-page":"182","DOI":"10.1038\/nclimate1354","article-title":"Estimated carbon dioxide emissions from tropical deforestation improved by carbon-density maps","volume":"2","author":"Baccini","year":"2012","journal-title":"Nat. Clim. Chang"},{"key":"ref_7","doi-asserted-by":"crossref","unstructured":"Lefsky, M.A. (2010). A global forest canopy height map from the moderate resolution imaging spectroradiometer and the geoscience laser altimeter system. Geophys. Res. Lett, 37.","DOI":"10.1029\/2010GL043622"},{"key":"ref_8","doi-asserted-by":"crossref","unstructured":"Simard, M., Pinto, N., Fisher, J.B., and Baccini, A. (2011). Mapping forest canopy height globally with spaceborne lidar. J. Geophys. Res.-Biogeosci, 116.","DOI":"10.1029\/2011JG001708"},{"key":"ref_9","doi-asserted-by":"crossref","first-page":"405","DOI":"10.1016\/S0264-3707(02)00042-X","article-title":"ICESat\u2019s laser measurements of polar ice, atmosphere, ocean, and land","volume":"34","author":"Zwally","year":"2002","journal-title":"J. Geodyn"},{"key":"ref_10","doi-asserted-by":"crossref","first-page":"397","DOI":"10.1016\/S0034-4257(02)00056-1","article-title":"Integration of lidar and Landsat ETM+ data for estimating and mapping forest canopy height","volume":"82","author":"Hudak","year":"2002","journal-title":"Remote Sens. Environ"},{"key":"ref_11","doi-asserted-by":"crossref","first-page":"691","DOI":"10.1016\/j.rse.2008.11.010","article-title":"Estimating Siberian timber volume using MODIS and ICESat\/GLAS","volume":"113","author":"Nelson","year":"2009","journal-title":"Remote Sens. Environ"},{"key":"ref_12","doi-asserted-by":"crossref","unstructured":"Kempes, C.P., West, G.B., Crowell, K., and Girvan, M. (2011). Predicting maximum tree heights and other traits from allometric scaling and resource limitations. PLoS One, 6.","DOI":"10.1371\/journal.pone.0020551"},{"key":"ref_13","doi-asserted-by":"crossref","first-page":"235","DOI":"10.2307\/1313077","article-title":"Hydraulic limits to tree height and tree growth","volume":"47","author":"Ryan","year":"1997","journal-title":"Bioscience"},{"key":"ref_14","doi-asserted-by":"crossref","first-page":"851","DOI":"10.1038\/nature02417","article-title":"The limits to tree height","volume":"428","author":"Koch","year":"2004","journal-title":"Nature"},{"key":"ref_15","doi-asserted-by":"crossref","first-page":"433","DOI":"10.1093\/treephys\/27.3.433","article-title":"Maximum plant height and the biophysical factors that limit it","volume":"27","author":"Niklas","year":"2007","journal-title":"Tree Physiol"},{"key":"ref_16","doi-asserted-by":"crossref","first-page":"284","DOI":"10.3390\/rs5010284","article-title":"Allometric scaling and resource limitations model of tree heights: Part 1. Model optimization and testing over continental USA","volume":"5","author":"Shi","year":"2013","journal-title":"Remote Sens"},{"key":"ref_17","doi-asserted-by":"crossref","first-page":"202","DOI":"10.3390\/rs5010202","article-title":"Allometric scaling and resource limitations model of tree heights: Part 2. Site based testing of the model","volume":"5","author":"Choi","year":"2013","journal-title":"Remote Sens"},{"key":"ref_18","unstructured":"China Meteorological Data Sharing Service System. Available online: http:\/\/cdc.cma.gov.cn\/."},{"key":"ref_19","first-page":"25","article-title":"Estimation of spatial distribution of solar energy resource in China","volume":"2","author":"Liao","year":"2012","journal-title":"Commun. Inf. Sci. Manag. Eng"},{"key":"ref_20","unstructured":"WorldClim\u2014Global Climate Data. Available online: http:\/\/www.worldclim.org."},{"key":"ref_21","doi-asserted-by":"crossref","first-page":"1965","DOI":"10.1002\/joc.1276","article-title":"Very high resolution interpolated climate surfaces for global land areas","volume":"25","author":"Hijmans","year":"2005","journal-title":"Int. J. Climatol"},{"key":"ref_22","doi-asserted-by":"crossref","unstructured":"Olea, R.A. (1999). Geostatistics for Engineers and Earth Scientists, Springer.","DOI":"10.1007\/978-1-4615-5001-3"},{"key":"ref_23","unstructured":"Tachikawa, T., Kaku, M., Iwasaki, A., Gesch, D., Oimoen, M., Zhang, Z., Danielson, J., Krieger, T., Curtis, B., and Haase, J. ASTER Global Digital Elevation Model Version 2-Summary of Validation Results. Available online: https:\/\/lpdaacaster.cr.usgs.gov\/GDEM\/Summary_GDEM2_validation_report_final.pdf."},{"key":"ref_24","doi-asserted-by":"crossref","first-page":"1171","DOI":"10.1016\/j.rse.2011.01.001","article-title":"Reprocessing the MODIS Leaf Area Index products for land surface and climate modelling","volume":"115","author":"Yuan","year":"2011","journal-title":"Remote Sens. Environ"},{"key":"ref_25","doi-asserted-by":"crossref","first-page":"168","DOI":"10.1016\/j.rse.2009.08.016","article-title":"MODIS Collection 5 global land cover: Algorithm refinements and characterization of new datasets","volume":"114","author":"Friedl","year":"2010","journal-title":"Remote Sens. Environ"},{"key":"ref_26","doi-asserted-by":"crossref","first-page":"1","DOI":"10.1175\/1087-3562(2003)007<0001:GPTCAA>2.0.CO;2","article-title":"Global percent tree cover at a spatial resolution of 500 meters: First results of the MODIS vegetation continuous fields algorithm","volume":"7","author":"Hansen","year":"2003","journal-title":"Earth Interact"},{"key":"ref_27","unstructured":"ESRI (Environmental Systems Research Institute) ArcGIS Desktop 9.2 Help Desk: Resampling Under Data Management. Available online: http:\/\/webhelp.esri.com\/arcgisdesktop\/9.2\/index.cfm?TopicName=resample_(data_management)."},{"key":"ref_28","unstructured":"Brenner, A.C., Bentley, C.R., Csatho, B.M., Harding, D.J., Hofton, M.A., Minster, J., Roberts, L., Saba, J.L., Schutz, R., and Thomas, R.H. (2003). Derivation of Range and Range Distributions from Laser Pulse Waveform Analysis for Surface Elevations, Roughness, Slope, and Vegetation Heights, NASA Goddard Space Flight Center. Algorithm Theoretical Basis Document Version 4.1;."},{"key":"ref_29","doi-asserted-by":"crossref","unstructured":"Neuenschwander, A.L., Urban, T.J., Gutierrez, R., and Schutz, B.E. (2008). Characterization of ICESat\/GLAS waveforms over terrestrial ecosystems: Implications for vegetation mapping. J. Geophys. Res.-Biogeosci, 113.","DOI":"10.1029\/2007JG000557"},{"key":"ref_30","doi-asserted-by":"crossref","first-page":"1158","DOI":"10.1109\/TGRS.2010.2070514","article-title":"ICEsat GLAS data for urban environment monitoring","volume":"49","author":"Gong","year":"2011","journal-title":"IEEE Trans. Geosci. Remote Sens"},{"key":"ref_31","doi-asserted-by":"crossref","first-page":"1989","DOI":"10.1109\/36.851780","article-title":"Decomposition of laser altimeter waveforms","volume":"38","author":"Hofton","year":"2000","journal-title":"IEEE Trans. Geosci. Remote Sens"},{"key":"ref_32","doi-asserted-by":"crossref","first-page":"2776","DOI":"10.1016\/j.rse.2010.08.026","article-title":"Physically based vertical vegetation structure retrieval from ICESat data: Validation using LVIS in White Mountain National Forest, New Hampshire, USA","volume":"115","author":"Lee","year":"2011","journal-title":"Remote Sens. Environ"},{"key":"ref_33","unstructured":"Chinese Ministry of Forestry (2009). Forest Resource Statistics of China (2004\u20132008), Department of Forest Resource and Management, Chinese Ministry of Forestry. (In Chinese)."},{"key":"ref_34","doi-asserted-by":"crossref","first-page":"1297","DOI":"10.1139\/x92-172","article-title":"Comparison of nonlinear height-diameter functions for major Alberta tree species","volume":"22","author":"Huang","year":"1992","journal-title":"Can. J. For. Res"},{"key":"ref_35","doi-asserted-by":"crossref","first-page":"315","DOI":"10.1016\/S0378-1127(98)00297-7","article-title":"Height\u2013diameter models for tropical forests on Hainan Island in southern China","volume":"110","author":"Fang","year":"1998","journal-title":"For. Ecol. Manag"},{"key":"ref_36","doi-asserted-by":"crossref","first-page":"125","DOI":"10.1016\/S0378-1127(99)00151-6","article-title":"Development of ecoregion-based height\u2013diameter models for white spruce in boreal forests","volume":"129","author":"Huang","year":"2000","journal-title":"For. Ecol. Manag"},{"key":"ref_37","doi-asserted-by":"crossref","first-page":"155","DOI":"10.1093\/comjnl\/7.2.155","article-title":"An efficient method for finding the minimum of a function of several variables without calculating derivatives","volume":"7","author":"Powell","year":"1964","journal-title":"Comput. J"},{"key":"ref_38","unstructured":"Press, W.H., Teukolsky, S.A., Vetterling, W.T., and Flannery, B.P. (1992). Numerical Recipes in FORTRAN: The Art of Scientific Computing, Cambridge University Press. [2nd ed]."},{"key":"ref_39","unstructured":"TRY Plant Trait Database. Available online: http:\/\/www.try-db.org\/TryWeb\/Home.php."},{"key":"ref_40","doi-asserted-by":"crossref","first-page":"S448","DOI":"10.1051\/forest:198905ART0100","article-title":"Gas-exchange and water relations of evergreen and deciduous tropical savanna trees","volume":"46","author":"Goldstein","year":"1989","journal-title":"Ann. Sci. For"},{"key":"ref_41","doi-asserted-by":"crossref","first-page":"1367","DOI":"10.1093\/treephys\/14.12.1367","article-title":"Photosynthesis and water relations of savanna tree species differing in leaf phenology","volume":"14","author":"Medina","year":"1994","journal-title":"Tree Physiol"},{"key":"ref_42","doi-asserted-by":"crossref","first-page":"1560","DOI":"10.1126\/science.1082750","article-title":"Climate-driven increases in global terrestrial net primary production from 1982 to 1999","volume":"300","author":"Nemani","year":"2003","journal-title":"Science"},{"key":"ref_43","doi-asserted-by":"crossref","first-page":"206","DOI":"10.1007\/s100219900016","article-title":"Contrasting climatic controls on the estimated productivity of global terrestrial biomes","volume":"1","author":"Churkina","year":"1998","journal-title":"Ecosystems"},{"key":"ref_44","doi-asserted-by":"crossref","unstructured":"Park, T., Kennedy, R., Choi, S., Wu, J., Lefsky, M.A, Myneni, R.B., Knyazikhin, Y., and Mantooth, J. (2014). Application of physically-based slope correction for waveform lidar across different footprint sizes and locations: Tests on airborne and spaceborne lidar. Remote Sens, under review.","DOI":"10.3390\/rs6076566"},{"key":"ref_45","doi-asserted-by":"crossref","first-page":"2210","DOI":"10.3390\/rs4082210","article-title":"Influence of surface topography on ICESat\/GLAS forest height estimation and waveform shape","volume":"4","author":"Hilbert","year":"2012","journal-title":"Remote Sens"},{"key":"ref_46","doi-asserted-by":"crossref","first-page":"491","DOI":"10.1175\/1525-7541(2000)001<0491:AHOPSM>2.0.CO;2","article-title":"A hybrid orographic plus statistical model for downscaling daily precipitation in northern California","volume":"1","author":"Pandey","year":"2000","journal-title":"J. Hydrometeorol"},{"key":"ref_47","doi-asserted-by":"crossref","unstructured":"Lundquist, J.D., and Cayan, D.R. (2007). Surface temperature patterns in complex terrain: Daily variations and long-term change in the central Sierra Nevada, California. J. Geophys. Res-Atmos, 112.","DOI":"10.1029\/2006JD007561"},{"key":"ref_48","doi-asserted-by":"crossref","first-page":"2810","DOI":"10.1016\/j.rse.2010.02.021","article-title":"Assessment of the impacts of surface topography, off-NADIR pointing and vegetation structure on vegetation lidar waveforms using an extended geometric optical and radiative transfer model","volume":"115","author":"Yang","year":"2011","journal-title":"Remote Sens. Environ"},{"key":"ref_49","doi-asserted-by":"crossref","first-page":"19","DOI":"10.1641\/0006-3568(2002)052[0019:LRSFES]2.0.CO;2","article-title":"Lidar remote sensing for ecosystem studies: Lidar, an emerging remote sensing technology that directly measures the three-dimensional distribution of plant canopies, can accurately estimate vegetation structural attributes and should be of particular interest to forest, landscape, and global ecologists","volume":"52","author":"Lefsky","year":"2002","journal-title":"BioScience"},{"key":"ref_50","doi-asserted-by":"crossref","unstructured":"Ni-Meister, W., Lee, S., Strahler, A.H., Woodcock, C.E., Schaaf, C., Yao, T., Ranson, K.J., Sun, G., and Blair, J.B. (2010). Assessing general relationships between aboveground biomass and vegetation structure parameters for improved carbon estimate from lidar remote sensing. J. Geophys. Res.-Biogeosci, 115.","DOI":"10.1029\/2009JG000936"},{"key":"ref_51","doi-asserted-by":"crossref","first-page":"524","DOI":"10.1016\/j.jenvman.2006.09.019","article-title":"Carbon sinks and sources in China\u2019s forests during 1901\u20132001","volume":"85","author":"Wang","year":"2007","journal-title":"J. Environ. Manag"},{"key":"ref_52","doi-asserted-by":"crossref","first-page":"917","DOI":"10.1029\/95RG00284","article-title":"Land-atmosphere interaction","volume":"33","author":"Dickinson","year":"1995","journal-title":"Rev. Geophys"},{"key":"ref_53","doi-asserted-by":"crossref","first-page":"133","DOI":"10.1007\/BF00132857","article-title":"Influence of landscape structure on local and regional climate","volume":"4","author":"Pielke","year":"1990","journal-title":"Landsc. Ecol"},{"key":"ref_54","doi-asserted-by":"crossref","first-page":"211","DOI":"10.1016\/S0168-1923(98)00102-6","article-title":"Spatial interpolation of climatic normals: Test of a new method in the Canadian boreal forest","volume":"92","author":"Nalder","year":"1998","journal-title":"Agric. For. Meteorol"},{"key":"ref_55","doi-asserted-by":"crossref","first-page":"31","DOI":"10.3354\/cr028031","article-title":"Spatial interpolation techniques for climate data in the GAP region in Turkey","volume":"28","author":"Apaydin","year":"2004","journal-title":"Clim. Res"},{"key":"ref_56","doi-asserted-by":"crossref","first-page":"2798","DOI":"10.1016\/j.rse.2010.08.025","article-title":"Impact of footprint diameter and off-NADIR pointing on the precision of canopy height estimates from spaceborne lidar","volume":"115","author":"Pang","year":"2011","journal-title":"Remote Sens. Environ"},{"key":"ref_57","doi-asserted-by":"crossref","unstructured":"Asai, K., Sawada, H., Sugimoto, N., Mizutani, K., Ishii, S., Nishizawa, T., Shimoda, H., Honda, Y., Kajiwara, K., and Takao, G (2012). i-LOVE: ISS-JEM lidar for observation of vegetation environment. SPIE.","DOI":"10.1117\/12.981326"},{"key":"ref_58","doi-asserted-by":"crossref","first-page":"3","DOI":"10.1007\/BF02873101","article-title":"Distribution of available soil water capacity in China","volume":"15","author":"Zhou","year":"2005","journal-title":"J. Geogr. Sci"},{"key":"ref_59","doi-asserted-by":"crossref","first-page":"715","DOI":"10.5194\/bg-8-715-2011","article-title":"Age structure and disturbance legacy of North American forests","volume":"8","author":"Pan","year":"2011","journal-title":"Biogeosciences"}],"container-title":["Remote Sensing"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.mdpi.com\/2072-4292\/6\/5\/3533\/pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2025,10,11]],"date-time":"2025-10-11T21:10:43Z","timestamp":1760217043000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.mdpi.com\/2072-4292\/6\/5\/3533"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2014,4,25]]},"references-count":59,"journal-issue":{"issue":"5","published-online":{"date-parts":[[2014,5]]}},"alternative-id":["rs6053533"],"URL":"https:\/\/doi.org\/10.3390\/rs6053533","relation":{},"ISSN":["2072-4292"],"issn-type":[{"type":"electronic","value":"2072-4292"}],"subject":[],"published":{"date-parts":[[2014,4,25]]}}}