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DOI | 10.1007/s11069-021-04641-9 |
A Robust Gaussian variogram estimator for cartography of hydrological extreme events | |
Gutierrez-Lopez A. | |
发表日期 | 2021 |
ISSN | 0921030X |
起始页码 | 1469 |
结束页码 | 1488 |
卷号 | 107期号:2 |
英文摘要 | Kriging is used for spatial interpolation of geophysical and hydrological variables. This technique requires the definition of a mathematical function of spatial correlation known as variogram. Extreme value mapping is critical for the analysis of hydrological problems such as multiple risk and disaster damage valuation. However, the formulation of a variogram is complex and the selection of the variogram model is often crucial in the final representation of extreme values. There is some evidence that a variogram estimator may reduce the negative impact of using data samples with outliers. This is an approach that eliminates the term that takes into consideration the squared differences of empirical values in the calculation of a variogram. Known as Cressie–Hawkins Estimator (CH), it is based on considering a Gaussian distribution for the calculation of the variogram. The CH satisfies the main statistical considerations of normality; however, the formulation of kurtosis is not used to guarantee total normality. The present paper modifies the CH, adding the term corresponding to the fourth statistical moment. The numerical example proposed in the literature to evaluate the efficiency of the CH is reproduced, and it is verified that the new variogram (CH-GLo) decreases further the effect of the extreme values in the cartography. CH-GLo is applied to cartography an extreme storm that happened in August 2014 in the city of Queretaro, Mexico. It is concluded that this new variogram formulation is a suitable alternative for mapping extreme values monitored in real-time in urban areas. © 2021, The Author(s), under exclusive licence to Springer Nature B.V. part of Springer Nature. |
关键词 | CartographyCressie–Hawkins EstimatorExtreme eventsGeostatisticsMexicoQueretaroSpatial interpolationVariogram |
英文关键词 | cartography; correlation; efficiency measurement; estimation method; extreme event; Gaussian method; geostatistics; hydrological regime; kriging; mapping method; outlier; risk assessment; storm; urban area; variogram; Mexico [North America]; Queretaro |
语种 | 英语 |
来源期刊 | Natural Hazards |
文献类型 | 期刊论文 |
条目标识符 | http://gcip.llas.ac.cn/handle/2XKMVOVA/206259 |
作者单位 | Water Research Center, Centro de Investigaciones del Agua-Queretaro (CIAQ), International Flood Initiative, Latin-American and the Caribbean Region (IFI-LAC), Intergovernmental Hydrological Programme (IHP-UNESCO), Universidad Autonoma de Queretaro, Queretaro, 76010, Mexico |
推荐引用方式 GB/T 7714 | Gutierrez-Lopez A.. A Robust Gaussian variogram estimator for cartography of hydrological extreme events[J],2021,107(2). |
APA | Gutierrez-Lopez A..(2021).A Robust Gaussian variogram estimator for cartography of hydrological extreme events.Natural Hazards,107(2). |
MLA | Gutierrez-Lopez A.."A Robust Gaussian variogram estimator for cartography of hydrological extreme events".Natural Hazards 107.2(2021). |
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