Summary
A procedure for stochastic simulation of the spatial structure of daily mesoscale temperature and precipitation values is presented. Specific values are generated on the basis of, and consistent with, observational data representing averages over areas corresponding to Atmospheric General Circulation Model grid elements. The procedure is based on a rotated principal component representation of the correlation structure of the observed local data, and procedures synthetic data which statistically resemble the corresponding observations. Use of a stochastic, rather than a deterministic, specification procedure may not be required if generation of only temperature data are of interest.
Zusammenfassung
Es wird eine Methode für die stochastische Simulation der räumlichen Struktur von täglichen mesoskaligen Temperatur-und Niederschlagswerten vorgestellt. Auf der Basis von und konsistent mit Beobachtungsdaten werden spezifische Werte erzeugt. Diese Werte repräsentieren Mittelwerte über Flächen, die den GCM Gitterelementen entsprechen. Die Methode basiert auf der Darstellung der Korrelationsstruktur der lokalen Beobachtungsdaten durch rotierte Hauptkomponenten und produziert synthetische Daten mit statischen Eigenschaften, die denen der Beobachtungen ähnlich sind. Die Verwendung einer stochastischen statt deterministischen Spezifikationsmethode ist wahrscheinlich nicht notwending, wenn das Interesse nur der Erzeugung von Temperaturdaten gilt.
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References
Baier, W., 1977: Crop-Weather Models and Their Use in Yield Assessments. Tech. Note No. 151, WMO-No. 458. Geneva: WMO, 48 pp.
Box, G. E. P., Jenkins, G. M., 1976:Time Series Analysis: Forecasting and Control. San Francisco: Holden-Day, 575 pp.
Brower, B., 1984: Development of a U.S. historical climatology network.The State Climatologist 8, 9–23.
Changnon, S. A., Jr., 1981: Convective raincells.J. Atmos. Sci. 38, 1793–1797.
Dugas, W. A., Arkin, G. F., Jackson, B. S., 1983: Factors affecting simulated crop yield spatial extrapolation.Trans. Amer. Soc. Agric. Eng. 26, 1440–1444.
Galliani, G, Filippini, F, 1985: Climatic clusters in a small area.J. Climatol. 5, 487–501.
Gates, W. L., 1985: The use of general circulation models in the analysis of the ecosystem impacts of climatic change.Climatic Change 7, 267–284.
Griffith, C. G., Augustine, J. A., Woodley, W. L., 1981: Satellite rain estimation in the U.S. high plains.J. Appl. Meteor. 20, 53–66.
Harmann, H. H., 1967:Modern Factor Analysis. Chicago: University of Chicago Press, 474 pp.
Hartley, H. O., 1949: Tests of significance in harmonic analysis.Biometrika 36, 194–201.
Hendrick, R. L., Comer, G. H., 1970: Space variation of precipitation and implications for raingage network design.J. Hydrol. 10, 151–163.
Horel, J. D., 1981: A rotated principal component analysis of the interannual variability of the Northern Hemisphere 500 mb height field.Mon. Wea. Rev. 109, 2080–2092.
Huff, F. A., Shipp, W. L., 1969: Spatial correlations of storm, monthly, and seasonal precipitation.J. Appl. Meteor. 8, 542–550.
Jolliffe, I. T., 1986:Principal Component Analysis. New York: Springer 271 pp.
Jolliffe, I. T., 1987: Rotation of principal components: some comments.J. Climatol. 7, 507–510.
Kaiser, H. F., 1958: The varimax criterion for analytic rotation in factor analysis.Psychometrika 23, 187–200.
Katz, R. W., 1981: On some criteria for estimating the order of a Markov chain.Technometrics 23, 243–249.
Katz, R. W., 1982: Statistical evaluation of climate experiments with general circulation models: a parametric timeseries modeling approach.J. Atmos. Sci. 39, 1446–1455.
Katz, R. W., 1985: Probabilistic models. In: A. H. Murphy and R. W. Katz, eds.,Probability, Statistics, and Decision Making in the Atmospheric Sciences. Boulder: Westview, 261–288.
Kim, J.-W., Chang, J.-T., Baker, N. L., Wilks, D. S., Gates, W. L., 1984: The statistical problem of climate inversion: determination of the relationship between local and largescale climate.Mon. Wea. Rev. 112, 2069–2077.
Kutzbach, J. E., 1967: Empirical eigenvectors of sea-level pressure, surface temperature and precipitation complexes over North America.J. Appl. Meteor. 6, 791–802.
Leith, C. E., 1973: The standard error of time-average estimates of climatic means.J. Appl. Meteor. 12, 1066–1069.
Mearns, L. O., Katz, R. W., Schneider, S. H., 1984: Extreme high-temperature events: changes in their probabilities with changes in mean temperature.J. Climate. Appl. Meteor. 23, 1601–1613.
Mahrt, L., 1987: Grid-averaged fluxes.Mon. Wea. Rev. 115, 1550–1560.
Neild, R. E., Richman, H. N., Seeley, M. W., 1979: Impacts of different types of temperature change on the growing season for maize.Agric. Meteor. 20, 367–374.
Parry, M. L., Carter, T. R., 1985: The effect of climatic variations on agricultural risk.Climatic Change 7, 95–110.
Richman, M. B., 1981: Obliquely rotated principal components: An improved meteorological map typing technique?J. Appl. Meteor. 20, 1145–1159.
Richman, M. B., 1986: Rotation of principal components.J. Climatol. 6, 293–335.
Santer, B., 1985: The use of general circulation models in climate impact analysis—a preliminary study of the impacts of a CO2-induced climatic change on West European agriculture.Climatic Change 7, 71–93.
Schwarz, G., 1978: Estimating the dimension of a model.Ann. Stat. 6, 461–464.
Terjung, W. H., Livermann, D. M., Hayes, J. T., 1984: Climatic change and water requirements for grain corn in the North American Great Plains.Climatic Change 6, 193–220.
Waggoner, P. E., 1983: Agriculture and a Climate Changed by More Carbon Dioxide. In: Carbon Dioxide Assessment Committee,Changing Climate. Washington, D.C.: National Academy Press, 383–418.
Waymire, E., Gupta, V. K., 1981: The mathematical structure of rainfall representation. 1. A review of stochastic rainfall models.Wat. Resour. Res. 17, 1261–1272.
Wetzel, P. J., Chang, J.-T., 1987: Concerning the relationship between evapotranspiration and soil moisture.J. Climate Appl. Meteor. 26, 18–27.
Wilks, D. S., 1986: Specification of Local Surface Weather Elements from Large-Scale General Circulation Model Information, with Application to Agricultural Impact Assessment. SCIL Report 86-1, Department of Atmospheric Sciences, Oregon State University, Corvallis OR 9733. 233 pp.
Wilks, D. S., 1988: Estimating the consequences of CO2-induced climatic change on North American grain agriculture using general circulation model information.Climatic Change 13, 19–42.
Williams, G. D. V., 1985: Estimated bioresource sensitivity to climatic change in Alberta, Canada.Climatic Change 7, 5–69
World Climate Applications Programme, 1984: Report of the WMO/UNEP/ICSU-SCOPE expert meeting on the reliability of crop-climate models for assessing the impacts of climatic change and variability. Geneva: WMO, 31 pp.
Zawadzki, I. I., 1973: Statistical properties of precipitation patterns.J. Appl. Meteor. 12, 459–472.
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Wilks, D.S. Statistical specification of local surface weather elements from large-scale information. Theor Appl Climatol 40, 119–134 (1989). https://doi.org/10.1007/BF00866175
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DOI: https://doi.org/10.1007/BF00866175