scholarly journals Surface parameterization based on polar factorization

2018 ◽  
Vol 329 ◽  
pp. 24-36 ◽  
Author(s):  
Xiaokang Yu ◽  
Na Lei ◽  
Xiaopeng Zheng ◽  
Xianfeng Gu
2021 ◽  
Vol 2 (1) ◽  
Author(s):  
Sara Bonetti ◽  
Zhongwang Wei ◽  
Dani Or

AbstractEarth system models use soil information to parameterize hard-to-measure soil hydraulic properties based on pedotransfer functions. However, current parameterizations rely on sample-scale information which often does not account for biologically-promoted soil structure and heterogeneities in natural landscapes, which may significantly alter infiltration-runoff and other exchange processes at larger scales. Here we propose a systematic framework to incorporate soil structure corrections into pedotransfer functions, informed by remote-sensing vegetation metrics and local soil texture, and use numerical simulations to investigate their effects on spatially distributed and areal averaged infiltration-runoff partitioning. We demonstrate that small scale soil structure features prominently alter the hydrologic response emerging at larger scales and that upscaled parameterizations must consider spatial correlations between vegetation and soil texture. The proposed framework allows the incorporation of hydrological effects of soil structure with appropriate scale considerations into contemporary pedotransfer functions used for land surface parameterization.


2014 ◽  
Vol 76 (6) ◽  
pp. 691-705 ◽  
Author(s):  
Tao Liao ◽  
Guoliang Xu ◽  
Yongjie Jessica Zhang

1997 ◽  
Vol 10 (6) ◽  
pp. 1194-1215 ◽  
Author(s):  
T. H. Chen ◽  
A. Henderson-Sellers ◽  
P. C. D. Milly ◽  
A. J. Pitman ◽  
A. C. M. Beljaars ◽  
...  

Author(s):  
Alfred Galichon

This chapter considers the case when the attributes are d-dimensional vectors and the surplus is the scalar product; it assumes that the distribution of the workers' attributes is continuous, but it relaxes the assumption that the distribution of the firms' attributes is discrete. This setting allows us to entirely rediscover convex analysis, which is introduced from the point of view of optimal transport. As a consequence, Brenier's polar factorization theorem is given, which provides a vector extension for the scalar notions of quantile and rearrangement.


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