A platform for research: civil engineering, architecture and urbanism
A platform for research: civil engineering, architecture and urbanism
Site or regional design wind speeds?
https://orcid.org/0000-0001-6701-4632
https://orcid.org/0000-0002-4652-7452
Abstract Estimates of high return period design wind speeds are required to achieve an acceptable probability of failure. These can be found by fitting an appropriate distribution to observed data but is complicated by spatial variation of the wind climate, therefore it is unclear which data are relevant at a particular location. We aim to frame this problem in terms of model selection and the bias variance trade-off. Existing models for incorporating site versus regionally averaged statistics are expressed in terms of key parameters, which allow the errors associated with each model to be derived. It is found that using a characteristic wind speed in codification combines the site statistics (low bias) with regionally averaged statistics (low variance). The return period of the characteristic wind speed is shown to act as a parameter controlling the relative weighting of these models. This insight is used to develop an optimal (minimum mean square error) estimator of the design wind speed, which is shown to vary based on both the available quantity of data at a particular site and how well this data corresponds to the regional average. Some practical advantages of this optimal model are then demonstrated at several South African stations.
Highlights Development of expressions that link regional, standardised, and site estimation procedures. Development of expressions for the error of each procedure, in terms of the bias variance trade-off. Development of an optimal estimator of the design value based on the expressions. Demonstration of this estimator on collected wind speed data.
Site or regional design wind speeds?
https://orcid.org/0000-0001-6701-4632
https://orcid.org/0000-0002-4652-7452
Abstract Estimates of high return period design wind speeds are required to achieve an acceptable probability of failure. These can be found by fitting an appropriate distribution to observed data but is complicated by spatial variation of the wind climate, therefore it is unclear which data are relevant at a particular location. We aim to frame this problem in terms of model selection and the bias variance trade-off. Existing models for incorporating site versus regionally averaged statistics are expressed in terms of key parameters, which allow the errors associated with each model to be derived. It is found that using a characteristic wind speed in codification combines the site statistics (low bias) with regionally averaged statistics (low variance). The return period of the characteristic wind speed is shown to act as a parameter controlling the relative weighting of these models. This insight is used to develop an optimal (minimum mean square error) estimator of the design wind speed, which is shown to vary based on both the available quantity of data at a particular site and how well this data corresponds to the regional average. Some practical advantages of this optimal model are then demonstrated at several South African stations.
Highlights Development of expressions that link regional, standardised, and site estimation procedures. Development of expressions for the error of each procedure, in terms of the bias variance trade-off. Development of an optimal estimator of the design value based on the expressions. Demonstration of this estimator on collected wind speed data.
Site or regional design wind speeds?
https://orcid.org/0000-0001-6701-4632
https://orcid.org/0000-0002-4652-7452
Abstract Estimates of high return period design wind speeds are required to achieve an acceptable probability of failure. These can be found by fitting an appropriate distribution to observed data but is complicated by spatial variation of the wind climate, therefore it is unclear which data are relevant at a particular location. We aim to frame this problem in terms of model selection and the bias variance trade-off. Existing models for incorporating site versus regionally averaged statistics are expressed in terms of key parameters, which allow the errors associated with each model to be derived. It is found that using a characteristic wind speed in codification combines the site statistics (low bias) with regionally averaged statistics (low variance). The return period of the characteristic wind speed is shown to act as a parameter controlling the relative weighting of these models. This insight is used to develop an optimal (minimum mean square error) estimator of the design wind speed, which is shown to vary based on both the available quantity of data at a particular site and how well this data corresponds to the regional average. Some practical advantages of this optimal model are then demonstrated at several South African stations.
Highlights Development of expressions that link regional, standardised, and site estimation procedures. Development of expressions for the error of each procedure, in terms of the bias variance trade-off. Development of an optimal estimator of the design value based on the expressions. Demonstration of this estimator on collected wind speed data.
Site or regional design wind speeds?
Bakker, F.P. (author) / De Koker, N. (author) / Viljoen, C. (author)
2021-10-30
Article (Journal)
Electronic Resource
English
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