Performance of three different temperatue temporal downscaling methods

فصلنامه آب و توسعه پایدار

Article 11, Volume 3, Issue 2 - Serial Number 7, March 2017, Pages 83-92   

Document Type: review paper

DOI: 10.22067/jwsd.v3i2.55055

Authors

shima Tajabadi; bijan ghahreman^* ; alinaghi ziaei

ferdowsi mashhad

Abstract

Sufficient measurements of effective parameters with suitable temporal and spatial distributions for all phenomena are needed. However, providing the data and informations are difficult and costly. So, temporal and/or spatial downscaling is of prime importance. By downscaling, one can generate data from available ones. There are diffent downscaling methods in literature but they are not compared with each other yet. In this research, the performance of three different downscaling methods of self similar fractal, piecewise self similar fractal, and periodic regression are compared. Three-hour temperature data of Mashhad synoptic station were considered for 1992-2009 period. Modeling was done for daily data and was downscaled to three-hour perid, the results were compared with measured data. Similar fractal method was superior over the other two methods, based on two criteria of Root Mean Square Error, and Akaike Information Criteria.

Keywords

Downscaling; Fractal; Temporal Time Series

References

ولیدی، ن.، ضیائی، ع.ن.، قهرمان، ب. و انصاری، ح. 1392. استفاده از توابع درون‏یاب فرکتال برای ریزمقیاس نمایی زمانی داده‏ های درجه حرارت. نشریه آب و خاک، 27(6): 1123- 1132.

Barnsley M.F. 1993. Fractals Everywhere. 2ed. New York, Academic Press.

Holder R.L. 1985. Multiple regression in hydrology. Institute of hydrology Wallingford, Oxfordshire OX10 8 BB, ISBN 0948540001.

http://en.wikipedia.org/wiki/Mashhad

Li Z.F. and Li X.F. 2008. An explicit fractal interpolation algorithm for reconstruction of seismic data. Chinese Physics Letters, 3: 1157-1159.

Marvasti M.A. and Strahle W.C. 1995. Fractal geometry analysis of turbulent data. Signal Processing, 41: 191-201.

Mazel D.S. and Hayes M.H. 1992. Using iterated function systems to model discrete sequences. IEEE Transactions on Signal Processing, 40 (7): 1724-1734.

McQuarrie A.D. and Tsai C.L. 1998. Regression and time series model selection. World Scientific Publishing Co. Pte. Ltd. ISBN 981-02-3242-X.

Pathirana A. 2001. Fractal modeling of rainfall: Downscaling in time and space for hydrological applications. PhD thesis, University of Tokyo, Japan.

Puente C.E. 1995. Geometric modeling of rainfall fields. Water Resources Center Technical Completion Report W-804. Univercity of California, Davis.

Strahle W.C. 1991. Turbulent combustion data analysis using fractals. AIAA,J, 3: 409-417.