Fitting limit lines (envelope curves) to spreads of geoenvironmental data
文献类型：期刊论文
| 作者 | Carling, Paul A.1; Jonathan, Philip2; Su, Teng3,4 |
| 刊名 | PROGRESS IN PHYSICAL GEOGRAPHY-EARTH AND ENVIRONMENT
 |
| 出版日期 | 2021-12-23 |
| 页码 | 19 |
| 关键词 | Limit lines envelope curves trimming method quantile regression non-parametric maximum likelihood methods |
| ISSN号 | 0309-1333 |
| DOI | 10.1177/03091333211059995 |
| 通讯作者 | Carling, Paul A.(P.A.Carling@soton.ac.uk) |
| 英文摘要 | Geoscientists frequently are interested in defining the overall trend in x-y data clouds using techniques such as least-squares regression. Yet often the sample data exhibits considerable spread of y-values for given x-values, which is itself of interest. In some cases, the data may exhibit a distinct visual upper (or lower) 'limit' to a broad spread of y-values for a given x-value, defined by a marked reduction in concentration of y-values. As a function of x-value, the locus of this 'limit' defines a 'limit line', with no (or few) points lying above (or below) it. Despite numerous examples of such situations in geoscience, there has been little consideration within the general geoenvironmental literature of methods used to define limit lines (sometimes termed 'envelope curves' when they enclose all data of interest). In this work, methods to fit limit lines are reviewed. Many commonly applied methods are ad-hoc and statistically not well founded, often because the data sample available is small and noisy. Other methods are considered which correspond to specific statistical models offering more objective and reproducible estimation. The strengths and weaknesses of methods are considered by application to real geoscience data sets. Wider adoption of statistical models would enhance confidence in the utility of fitted limits and promote statistical developments in limit fitting methodologies which are likely to be transformative in the interpretation of limits. Supplements, a spreadsheet and references to software are provided for ready application by geoscientists. |
| WOS关键词 | BEDLOAD TRANSPORT ; DISCRIMINANT-ANALYSIS ; MODELS ; WESTERN |
| 资助项目 | China Postdoctoral Science Foundation[2020M670435] |
| WOS研究方向 | Physical Geography ; Geology |
| 语种 | 英语 |
| WOS记录号 | WOS:000736620700001 |
| 出版者 | SAGE PUBLICATIONS LTD |
| 资助机构 | China Postdoctoral Science Foundation |
| 源URL | [http://ir.igsnrr.ac.cn/handle/311030/169007]  |
| 专题 | 中国科学院地理科学与资源研究所 |
| 通讯作者 | Carling, Paul A. |
| 作者单位 | 1.Univ Southampton, Sch Geog & Environm Sci, Southampton SO17 1BJ, Hants, England 2.Univ Lancaster, Dept Math & Stat, Lancaster, England 3.Univ Chinese Acad Sci, Beijing, Peoples R China 4.Chinese Acad Sci, Inst Geog Sci & Nat Resources Res, Lab Water Cycle & Related Land Surface Proc, Beijing, Peoples R China |
| 推荐引用方式 GB/T 7714 | Carling, Paul A.,Jonathan, Philip,Su, Teng. Fitting limit lines (envelope curves) to spreads of geoenvironmental data[J]. PROGRESS IN PHYSICAL GEOGRAPHY-EARTH AND ENVIRONMENT,2021:19. |
| APA | Carling, Paul A.,Jonathan, Philip,&Su, Teng.(2021).Fitting limit lines (envelope curves) to spreads of geoenvironmental data.PROGRESS IN PHYSICAL GEOGRAPHY-EARTH AND ENVIRONMENT,19. |
| MLA | Carling, Paul A.,et al."Fitting limit lines (envelope curves) to spreads of geoenvironmental data".PROGRESS IN PHYSICAL GEOGRAPHY-EARTH AND ENVIRONMENT (2021):19. |
入库方式： OAI收割
来源：地理科学与资源研究所
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