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    Some Remarks on Spatial Correlation Function Models

    Source: Monthly Weather Review:;1993:;volume( 121 ):;issue: 009::page 2611
    Author:
    Weber, Rudolf O.
    ,
    Talkner, Peter
    DOI: 10.1175/1520-0493(1993)121<2611:SROSCF>2.0.CO;2
    Publisher: American Meteorological Society
    Abstract: The method of optimal interpolation, which is widely used in meteorological data assimilation, relies very much on good approximations of spatial correlation functions. Therefore, many models for such functions have been developed. These models should fulfill certain mathematical constraints; particularly, they should be positive-definite functions. For the classes of homogeneous and isotropic processes, the positivity property and its consequences are reviewed. A special class of correlation models based on so-called spatial autoregressive processes is critically examined. It is shown that models of this type are not positive definite on the meteorological relevant spaces. Some other models taken from the literature are shown to lack this property also. Three strategies to obtain models that have the appropriate mathematical properties are outlined.
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      Some Remarks on Spatial Correlation Function Models

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    http://yetl.yabesh.ir/yetl1/handle/yetl/4203139
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    contributor authorWeber, Rudolf O.
    contributor authorTalkner, Peter
    date accessioned2017-06-09T16:09:35Z
    date available2017-06-09T16:09:35Z
    date copyright1993/09/01
    date issued1993
    identifier issn0027-0644
    identifier otherams-62266.pdf
    identifier urihttp://onlinelibrary.yabesh.ir/handle/yetl/4203139
    description abstractThe method of optimal interpolation, which is widely used in meteorological data assimilation, relies very much on good approximations of spatial correlation functions. Therefore, many models for such functions have been developed. These models should fulfill certain mathematical constraints; particularly, they should be positive-definite functions. For the classes of homogeneous and isotropic processes, the positivity property and its consequences are reviewed. A special class of correlation models based on so-called spatial autoregressive processes is critically examined. It is shown that models of this type are not positive definite on the meteorological relevant spaces. Some other models taken from the literature are shown to lack this property also. Three strategies to obtain models that have the appropriate mathematical properties are outlined.
    publisherAmerican Meteorological Society
    titleSome Remarks on Spatial Correlation Function Models
    typeJournal Paper
    journal volume121
    journal issue9
    journal titleMonthly Weather Review
    identifier doi10.1175/1520-0493(1993)121<2611:SROSCF>2.0.CO;2
    journal fristpage2611
    journal lastpage2617
    treeMonthly Weather Review:;1993:;volume( 121 ):;issue: 009
    contenttypeFulltext
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    DSpace software copyright © 2002-2015  DuraSpace
    نرم افزار کتابخانه دیجیتال "دی اسپیس" فارسی شده توسط یابش برای کتابخانه های ایرانی | تماس با یابش
    yabeshDSpacePersian