The present paper deals with the utilization of advanced sampling statistical methods to perform uncertainty and sensitivity analysis on numerical models. Scalability on LHS (Latin Hypercube Sampling) samples for use in uncertainty analysis of large numerical models The relevance of this approach is shown on a real example concerning the numerical welding simulation, where the inequality constraints are caused by the physical decreasing of some material properties in function of the temperature. This technique, called constrained Latin hypercube sampling (c LHS), consists in doing permutations on an initial LHS to honor the desired monotonic constraints. In this paper we propose and discuss a new algorithm to build a Latin hypercube sample ( LHS) taking into account inequality constraints between the sampled variables. For this purpose, Latin hypercube sampling has a long history and has shown its robustness capabilities. In some studies requiring predictive and CPU-time consuming numerical models, the sampling design of the model input variables has to be chosen with caution. International Nuclear Information System (INIS) Latin hypercube sampling with inequality constraints 1000 iterations was consistently a reasonable value used to produce sampling points that provided a good spatial representation of the environmental Some initial results of the work include using a 1000 iteration variable within the LHS model. Also, additional covariates were included in the Latin Hypercube Sampling approach which is categorical in nature such as external Surficial Geology data. The iterations within the LHS sampling were run at an optimal level so the LHS model provided a good spatial representation of the environmental attributes within the watershed. The spatial resolution of covariates included within the work ranged from 5 - 30 m. The range of specific points created in LHS included 50 - 200 depending on the size of the watershed and more importantly the number of soil types found within. These additional covariates often include but are not limited to Topographic Wetness Index (TWI), Length-Slope (LS) Factor, and Slope which are continuous data. These include a required Digital Elevation Model (DEM) and subsequent covariate datasets produced as a result of a Digital Terrain Analysis performed on the DEM. Secondary soil and environmental attributes are critical inputs that are required in the development of sampling points by LHS. This allowed for specific sets of LHS points to be produced to fulfil the needs of various partners from multiple projects working in the Ontario and Prince Edward Island provinces of Canada. The Latin Hypercube Sampling ( LHS) approach to assist with Digital Soil Mapping has been developed for some time now, however the purpose of this work was to complement LHS with use of multiple spatial resolutions of covariate datasets and variability in the range of sampling points produced. AAFC - Agriculture and Agr-Food Canada, Ottawa, Canada. Sampsa Hamalainen, Xiaoyuan Geng, and Juanxia, He. Latin Hypercube Sampling ( LHS) at variable resolutions for enhanced watershed scale Soil Sampling and Digital Soil Mapping. Hamalainen, Sampsa Geng, Xiaoyuan He, Juanxia
#Latin hypercube sampling projects manual#
This manual covers the theory behind stratified sampling as well as use of the LHS code both with the Windows graphical user interface and in the stand-alone mode. The present program replaces the previous Latin hypercube sampling program developed at Sandia National Laboratories (SAND83-2365). The Latin hypercube technique employs a constrained sampling scheme, whereas random sampling corresponds to a simple Monte Carlo technique.
#Latin hypercube sampling projects software#
This software has been developed to generate either Latin hypercube or random multivariate samples. This document is a reference guide for LHS, Sandia`s Latin Hypercube Sampling Software. Risk Assessment and Systems Modeling Dept. [Sandia National Labs., Albuquerque, NM (United States). A user`s guide to LHS: Sandia`s Latin Hypercube Sampling SoftwareĮnergy Technology Data Exchange (ETDEWEB)