Skip to main content
Log in

Time-resolved empirical modelling of seasonal development during phenologically opaque periods

  • Original Article
  • Published:
International Journal of Biometeorology Aims and scope Submit manuscript

Abstract

A new approach for the analysis of empirical phenological data is presented which supports oligofactorial seasonality modelling. The temporal resolution of this approach is only limited by the temporal aggregation or sampling frequency (1 day, typically, in the case of weather elements) of the available primary data on the relevant environmental factors. The phenological periods of interest may be “phenologically opaque” in the sense that they do not contain any phenologically observable events except their onset and end. In traditional approaches, the available primary data are aggregated over the duration of the respective phenological period (weeks or even months, typically, in plant phenology). The new approach is supported by modern mathematical methods, which allow for data analysis under unfavourable conditions of irregular oligofactorial data design, and could thus also upgrade traditional approaches of phenological data analysis.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

  • Bard Y (1973) Nonlinear parameter estimation. Academic Press, New York

    Google Scholar 

  • Deutscher Wetterdienst (1971–1990). Deutsche Meteorologische Jahrbücher 1969–1988. Deutscher Wetterdienst, Offenbach

    Google Scholar 

  • Duchon J (1977) Splines minimizing rotation-invariant seminorms in Sobolev spaces. In: Schempp W, Zeller K (eds) Constructive theory of functions of several variables (Lecture Notes in Mathematics, vol 571). Springer, Berlin, pp 85–100

    Google Scholar 

  • Franke R (1982) Scattered data interpolation: tests of some methods. Math Comp 38:181–200

    Google Scholar 

  • Freitag E (1965) Studien zur phänologischen Agrarklimatologie Europas. Berichte des Deutschen Wetterdienstes, Nr. 98 (Band 14). Deutscher Wetterdienst, Offenbach

    Google Scholar 

  • Golub GH, Van Loan CF (1983) Matrix computations, Johns Hopkins University Press, Baltimore

    Google Scholar 

  • Gordon WJ, Wixom JA (1978) Shepard's method of “metric interpolation” to bivariate and multivariate data. Math Comp 32:253–264

    Google Scholar 

  • Hansen PC (1992) Analysis of discrete ill-posed problems by means of the L-curve. SIAM Rev 34:561–580

    Google Scholar 

  • Hodges T, French V (1985) Soyphen: soybean growth stages modeled from temperature, daylength, and water availability. Agron J 77:500–505

    Google Scholar 

  • King AW, de Angelis DL (1985) Information for seasonal models of carbon fluxes in terrestrial biomes. Publication no. 2485, Environmental Sciences Division, Oak Ridge National Laboratory, pp 1–40

  • Klein G, Berlekamp J (1986) Glatte empirische Modellierung mehrfaktorieller Systemresponse. Landschaftsökol Mess Ausw 2:11–31

    Google Scholar 

  • Klein GH (1987a) Fitting simple non-tensor-product splines to scattered noisy data on Euclidean d-space. J Comp Appl Math 18:347–352

    Google Scholar 

  • Klein GH (1987b) Handy splines for empirical oligofactorial modelling of systems responses. Envir Softw 2:26–28

    Google Scholar 

  • Klein GH (1987c) Smooth descriptive modelling of multifactorial systems responses. In: Möller DPF (ed) System analysis of biological processes. Vieweg, Braunschweig — Wiesbaden, pp 95–100

    Google Scholar 

  • Klein GH (1993) Modern mathematical methods for empirical multifactorial modelling. (manuscript in preparation)

  • Lieth H, ed (1974) Phenology and seasonality modelling (Ecological Studies, vol 8). Springer, Berlin New York

    Google Scholar 

  • Press WH, Flannery BP, Teukolsky SA, Vetterling WT (1988) Numerical recipes in C: the art of scientific programming. Cambridge University Press, Cambridge New York Melbourne

    Google Scholar 

  • Schnelle F (1955) Pflanzen-Phänologie. Geest and Portig, Leipzig

    Google Scholar 

  • Schnelle F, Baumgartner A, Freitag E (1985) 25 years of phenogical observations in the International Phenological Gardens. Arboreta Phaen 29:1–44

    Google Scholar 

  • Wang JY (1967) Agricultural meteorology. Agriculture Weather Information Service, San José, pp 261–333

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

About this article

Cite this article

Klein, G.H. Time-resolved empirical modelling of seasonal development during phenologically opaque periods. Int J Biometeorol 38, 70–77 (1995). https://doi.org/10.1007/BF01270662

Download citation

  • Received:

  • Revised:

  • Accepted:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01270662

Key words

Navigation