Application of geostatistical methods in determination of depth-area-duration rainfall curves (Lorestan province)

Document Type : Applied Article

Authors

1 Academic Staff/ Faculty of Agricultural and Natural Resources, Research and Education Center of Lorestan Province, Khorramabad, Iran

2 Ph.D. Graduated Student/ Department of Watershed Management, Faculty of Agriculture, Lorestan University, Khorramabad, Iran

Abstract

Introduction
One of the main goals of spatial analysis of precipitation at area is to reach the standard project storm (SPS) for that area, through which can be reached the standard project flood (SPF). This analysis includes the characteristics of rainfall depth at a certain area and for a specific duration. Relation between depth and rainfall area which called depth-area-duration (DAD), is shown usually by set of curves that each shows different duration of rainfall. Using these curves, a reduction factor is determined for specific area and is applied to adjust the average point rainfall related to frequency of this project. The present study carried out under topic of investigation and map of depth- area- duration in Lorestan, in an area over 28559/5 Km2 in west part of country.
Materials and Methods
Weak coefficient of correlation is shown meaningfulness of the relation between rainfall and altitude in different time base. this is resulted from different reasons such as extension of area, lack of transmittal and number of suitable weather stations and different extension and tension of mountain than rain flaw. Considering above points cause those other methods of drawing precipitation maps include interpolation or geostatistical methods including, spline, IDW, kriging and Co-kriging were used.
Results and Discussion
Weak coefficient of correlation is shown meaningfulness of the relation between rainfall and altitude in different time base. this is resulted from different reasons such as extension of area, lack of transmittal and number of suitable weather stations and different extension and tension of mountain than rain flaw. Considering above points cause those other methods of drawing precipitation maps include interpolation or geostatistical methods including, spline, IDW, kriging and Co-kriging were used.
Conclusion
The results show that to preparing precipitation maps of selecting storms, simple co- kriging (SCK) is a suitable method to calculate the amount of rainfall of selecting storms in lorestan province. So the above way is used for preparing precipitation maps. Resulted from investigation of surface reduction factor of rain fall shows that in time duration 12 and 48 hrs with the increase of each 5000 surface reduction factor reduces for 0.1 in 24 hrs duration within 18000 Km2. This coefficient has a slow decreasing trend and then that is similar to 12 and 48 hrs rainfalls. Assessing the daily rainfall statistics of some of rain gauge stations in somewhere of the province by the Meteorological Organization and the Ministry of Energy, shows that sometimes there is a significant difference between the perception rates recorded by these organizations. Therefore, in order to eliminate the existing defects, it is suggested that the stations occupied by these organizations and their monitoring status be periodically evaluated by the experts of the relevant organizations and possible defects be prevented.

Keywords


Asakereh, H. (2007). Spatio-temporal changes of iran inland precipitation during recent decades. Geography and Development, 5(10), 145-164 (in Persian).
Buytaert, W., Celleri, R., Willems, P., Bièvre, B.D., & Wyseure, G. (2006). Spatial and temporal rainfall variability in mountainous areas: A case studyfrom the south Ecuadorian Andes. Journal of  Hydrology, 329(3), 413-421.
Chu, J., Xia, J., Xu, C., Li, L., & Wang, Z. (2010). Spatial and temporalvariability of daily precipitation in Haihe river basin, 1958-2007. Journal of Geography Science, 20(2), 248-260.
Goovaerts, P. (1999). Using elevation to aid the geostatistical mapping of rainfall erosivity. Catena, 34, 227–242.
Goovaerts, P. (2000). Geostatistical approaches for incorporating elevation into thespatial interpolation of rainfall. Journal of Hydrology, 228, 113-129.
Hereshfield, D.M. (1961). Rainfall Freqency of the united state for Duration from 30 minutes to 24 hours and return periods from 1 to 100 years. Weather Bureau Technical Papers, 40, 1-65.
Ibrahim, M.N. (2019). Generalized distributions for modeling precipitation extremes based on the L moment approach for the Amman Zara Basin, Jordan. Theoretical and Applied Climatology, 138(1), 1075-1093.
Korolev, V., & Gorshenin, A. (2020). Probability models and statistical tests for extreme precipitation based on generalized negative binomial distributions. Mathematics, 8(4), 604.
Lashni Zand, M. (2006). Determining the pattern of temporal distribution of precipitation in Lorestan province. Final report of the research project (in Persian).
Mehdizadeh Youshanloei, M. (2012). Preparation depth-area-duration curves in north of Western ‎Azerbaijan Province. Watershed Engineering and Management, 4(3), 127-133 (in Persian).
Mirbagheri, A. (1998). Engineering Hydrology (Vol. 1). Shiraz University Press, 562 pages (in Persian).
Mohammadi, J. (2010). Temporal-spatial conceptual modeling of environmental sciences. University of Tehran Press, 170 pages (in Persian).
Mozaffari, G., & Mirmousavi, S., & Khosravi, Y. (2012). The assessment of geostatistic methods and linear regression in order to specify the spatial distribution of annual precipitation case study: boushehr province. Geography and Development, 10(27), 14-17 (in Persian).
Mutua, F., & Kuria, D. (2012). A comparison of spatial rainfall estimationtechniques: A case study of Nyando river basin Kenya. Journal of Agricultural Science and Technology, 14(2), 149-165.
Ng, J.L., Abd Aziz, S., Huang, Y.F., Mirzaei, M., Wayayok, A., & Rowshon, M.K. (2019). Uncertainty analysis of rainfall depth duration frequency curves using the bootstrap resampling technique. Journal of Earth System Science, 128(5), 1-15.
Sadeghiyan, A., & Vagheiy, Y., & Mohammadzadeh, M. (2013). Spatial-temporal prediction of groundwater level in birjand region using kriging method. Water and Wastewater, 24(1), 94-100 (in Persian).
Telluri, A. (2003). Investigation of spatial changes of maximum 24 and 48 hours rainfall in Gilan province (depth-surface-rainfall continuity relationships). Final report of the research project (in Persian).