Tytuł artykułu
Autorzy
Wybrane pełne teksty z tego czasopisma
Identyfikatory
Warianty tytułu
Języki publikacji
Abstrakty
Probabilistic properties of dates of winter, summer and annual maximum flows were studied using circular statistics in three catchments differing in topographic conditions; a lowland, highland and mountainous catchment. The circular measures of location and dispersion were used in the long-term samples of dates of maxima. The mixture of von Mises distributions was assumed as the theoretical distribution function of the date of winter, summer and annual maximum flow. The number of components was selected on the basis of the corrected Akaike Information Criterion and the parameters were estimated by means of the Maximum Likelihood method. The goodness of fit was assessed using both the correlation between quantiles and a version of the Kuiper’s and Watson’s test. Results show that the number of components varied between catchments and it was different for seasonal and annual maxima. Differences between catchments in circular characteristics were explained using climatic factors such as precipitation and temperature. Further studies may include circular grouping catchments based on similarity between distribution functions and the linkage between dates of maximum precipitation and maximum flow.
Wydawca
Czasopismo
Rocznik
Tom
Strony
755--768
Opis fizyczny
Bibliogr. 54 poz.
Twórcy
autor
- Department of Applied Mathematics, University of Agriculture in Kraków, Kraków, Poland
autor
- Department of Land and Water Resources Management, Slovak University of Technology in Bratislava, Bratislava, Slovakia
autor
- Department of River Engineering, Sedimentation Lab, Warsaw University of Life Sciences, Warszawa, Poland
Bibliografia
- 1. Amos DE (1974) Computation of modified Bessel functions and their ratios. Math Comput 28(125):239–251. https://doi.org/10.1090/S0025-5718-1974-0333287-7
- 2. Archambeau C, Lee JA, Verleysen M (2003) On Convergence Problems of the EM Algorithm for Finite Gaussian Mixtures. In: ESANN’2003 proceedings—European Symposium on Artificial Neural Networks Bruges (Belgium), 23-25 April 2003, ISBN 2-930307-03-X, pp. 99–106
- 3. Banasik K, Hejduk L (2012) Long-term Changes in Runoff from a Small Agricultural Catchment. Soil & Water Resources 2: 64–72. http://www.agriculturejournals.cz/publicFiles/64803.pdf . Accessed on 9 Oct 2017
- 4. Banasik K, Hejduk L, Hejduk A, Kaznowska E, Banasik J, Byczkowski A (2013) Wieloletnia zmienność odpływu z małej zlewni rzecznej w regionie Puszczy Kozienickiej. Sylwan 157(8):578–586
- 5. Banasik K, Hejduk L (2013) Flow duration curves for two small catchments with various records in Lowland part of Poland. Annu Set Environ Protect 15:287–300
- 6. Banerjee A, Dhillon IS, Ghosh J, Sra S (2005) Clustering on the unit hypersphere using von Mises-Fisher distributions. J Mach Learn Res 6(12):1345–1382
- 7. Bayliss AC, Jones RC (1993) Peaks-over-threshold flood database: summary statistics and seasonality. Wallingford, UK
- 8. Blöschl G, Hall J, Parajka J, Perdigão RAP, Merz B, Arheimer B, Aronica GT, Bilibashi A, Bonacci O, Borga M, Čanjevac I, Castellarin A, Chirico GB, Claps P, Fiala K, Frolova N, Gorbachova L, Gül A, Hannaford J, Harrigan S, Kireeva M, Kiss A, Kjeldsen TR, Kohnová S, Koskela JJ, Ledvinka O, Macdonald N, Mavrova-Guirguinova M, Mediero L, Merz R, Molnar P, Montanari A, Murphy C, Osuch M, Ovcharuk V, Radevski I, Rogger M, Salinas JL, Sauquet E, Šraj M, Szolgay J, Viglione A, Volpi E, Wilson D, Zaimi K, Živković N (2017) Changing climate shifts timing of European floods. Science 357(6351):588–590
- 9. Burn DH (1997) Catchment similarity for regional flood frequency analysis using seasonality measures. J Hydrol 202:212–223
- 10. Castellarin A, Burn DH, Brath A (2001) Assessing the effectiveness of hydrological similarity measures for flood frequency analysis. J Hydrol 241:270–285
- 11. Cebulska M, Szczepanek R, Twardosz R (2013) Rozkład przestrzenny opadów atmosferycznych w dorzeczu górnej Wisy. Opady średnie roczne (19521981) [The spatial distribution of precipitation in the upper basin of the Vistula River. Mean annual precipitation (19521981)]. Kraków. WIŚ PK IGiGP UJ. ISBN 978-83-88424-91-5 pp. 84
- 12. Ceppellini R, Siniscalco M, Smith CA (1955) The estimation of gene frequencies in a random-mating population. Ann Hum Genet 20(2):97–115
- 13. Chen L, Singh VP, Guo S, Fang B, Liu P (2013) A new method for identification of flood seasons using directional statistics. Hydrol Sci J 58(1):28–40
- 14. Cunderlik MJ, Burn DH (2002) Analysis of the linkage between rain and flood regime and its application to regional flood frequency estimation. J Hydrol 262:115–131
- 15. Cunderlik MJ, Ouarda TBMJ, Bobeé B (2004) Determination of flood seasonality from hydrological records. Hydrol Sci J 49(3):511–526. https://doi.org/10.1623/hysj.49.3.511.54351
- 16. Cyberski J, Grześ M, Gutry-Korycka M, Nachlik E, Kundzewicz ZW (2006) History of floods on the River Vistula. Hydrol Sci J 51(5):799–817. https://doi.org/10.1623/hysj.51.5.799
- 17. Demirel MC (2013) Impacts of climate change on the seasonality of low flows in 134 catchments in the River Rhine basin using an ensemble of bias-corrected regional climate simulations. Hydrol Sci J 17:4241–4257
- 18. Dempster AP, Laird NM, Rubin DB (1977) Maximum likelihood from incomplete data via the EM algorithm. J R Stat Soc Ser B (Methodol) 39(1):1–38
- 19. Dhakal N, Jain S, Gray A, Dandy M, Stancioff E (2015) Nonstationarity in seasonality of extreme precipitation: a nonparametric circular statistical approach and its application. Water Resour Res 51(6):4499–4515. https://doi.org/10.1002/2014WR016399
- 20. Dobson AJ (1978) Simple approximations for the von Mises concentration statistic. J R Stat Soc Ser C (Appl Stat) 27(3):345–347
- 21. Fichtenholz GM (2007) Rachunek różniczkowy i całkowy, vol 2. Wydawnictwo Naukowe PWN, Warszawa, 696 pp
- 22. Fisher NI (1993) Statistical analysis of circular data. Cambridge University Press, Cambridge
- 23. Hall J, Arheimer B, Borga M, Brázdil R, Claps P, Kiss A, Kjeldsen TR, Bloschl G (2014) Understanding flood regime changes in Europe: a state of the art assessment. Hydrol Earth Syst Sci 18:2735–2772. https://doi.org/10.5194/hess-18-2735-2014(2014)
- 24. Hejduk A, Hejduk L (2014) Thermal and snow conditions of winters and winter floods on example of Zagożdżonka River. Ann Warsaw Univ Life Sci SGGW Land Reclam 46(1):3–15
- 25. Hornik KB, Grün B (2013) Amos-type bounds for modified Bessel function ratios. J Math Anal Appl 408(1):91–101
- 26. Hornik K, Grün B (2014) On maximum likelihood estimation of the concentration parameter of von Mises-Fisher distributions. Computat Stat 29(5):945–957
- 27. Hurvich CM, Tsai CL (1989) Regression and time series model selection in small samples. Biometrika 76:297–307
- 28. Hornik K, Grün B (2017) movMF: an R package for fitting mixtures of von Mises-Fisher distributions. J Stat Softw 58(10):1–31. https://doi.org/10.18637/jss.v058.i10
- 29. Jammalamadaka S, Sarma Y (1988) A correlation coefficient for angular variables. Statistical theory and data analysis 2. North Holland: New York
- 30. Jammalamadaka SR, SenGupta A (2001) Topics in circular statistics, section 8.2. World Scientific Press, Singapore
- 31. Kaznowska E, Banasik K (2011) Streamflow droughts and probability of their occurrence in a small agricultural catchment. Ann Warsaw Univ Life Sci SGGW Land Reclam 43(1):57–69
- 32. Kriegerová I, Kohnová S (2005) Seasonality analysis of flood occurrence in mid-sized catchments in Slovakia. J Hydrol Hydromech 53(3):154–163
- 33. Kundzewicz ZW, Stoffel M, Niedźwiedź T, Wyżga B (2016) Flood Risk in the Upper Vistula Basin. Earth and Planetary Sciences. Springer International Publishing, GeoPlanet
- 34. Kuiper NH (1960) Tests concerning random points on a circle. Math Stat 38–47
- 35. Lund U, Agostinelli C, Arai H, Gagliardi A, Portugues EG, Giunchi D, Irisson JO, Pocernich M, Rotolo F (2017) R package ’circular’: circular statistics (version 0.4-93). url = https://r-forge.r-project.org/projects/circular/circular.pdf
- 36. Mardia KV, Jupp PE (2000) Directional statistics. Wiley, Wiley Series in Probability and Statistics, Chichester
- 37. McLachlan GJ, Peel D (2000) Finite mixture models. Wiley, New York
- 38. Merz R, Blöschl G (2003) A process typology of regional floods. Water Resour Res 39(12):1340. https://doi.org/10.1029/2002WR001952
- 39. Ouarda TBMJ, Ashkar F, El-Jabi N (1993) Peaks over threshold model for seasonal flood variations. In: Kuo CY (ed) Proceedings of the engineering hydrology symposium, 2530 July 1993, San Francisco, CA. New York: American Society of Civil Engineers, pp 341-346
- 40. Ouarda TBMJ, Cunderlik JM, St-Hilaire A, Barbet M, Bruneau P, Bobée B (2006) Data-based comparison of seasonality based regional flood frequency methods. J Hydrol 330:329–339
- 41. Parajka J, Kohnová S, Merz R, Szolgay J, Hlavcová K, Blöschl G, (2009) Comparative analysis of the seasonality of hydrological characteristics in Slovakia and Austria. Hydrol Sci J 54(3):456–473
- 42. Punzet J (1978) Water resources of the upper Vistula river basin. Maximum water discharge, their spatial variability and occurrence probability. IMGW-PIB, Warszawa (in Polish)
- 43. R Core Team (2017) R: A Language and Environment for Statistical Computing. R Foundation for Statistical Computing, Vienna, Austria, url = http://www.R-project.org/
- 44. Šatalová B, Kenderessy P (2017) Assessment of water retention function as tool to improve integrated watershed management (case study of Poprad river basin, Slovakia). Sci Total Environ 599–600:1082–1089
- 45. Sra S (2012) A short note on parameter approximation for von Mises-Fisher distributions: and a fast implementation of IS(x)IS(x). Comput Stat 27(1):177–190
- 46. Stephens MA (1969) Tests for the von Mises distribution. Biometrika 56(1):149–160
- 47. Stephens MA (1970) Use of the Kolmogorov-Smirnov, Cramér-von Mises and related statistics without extensive tables. J R Stat Soc Ser B (Methodol) 32(1):115–122
- 48. Tanabe A, Fukumizu K, Oba S, Takenouchi T, Ishii S (2007) Parameter estimation for von MisesFisher distributions. Computat Stat 22(1):145–157
- 49. Trizna M (2004) Klimageografia a hydrogeografia Slovenska (climate geography and hydrogeography of Slovakia). Geografika, Bratislava
- 50. Tsagris M, Athineou G, Sajib A, Amson E (2017) Directional: Directional Statistics. R package version 3.0. url = https://cran.r-project.org/web/packages/Directional/Directional.pdf
- 51. Upton GJG (1973) Single-sample tests for the von Mises distribution. Biometrika 61:87–99
- 52. Vormoor K, Lawrence D, Heistermann M, Bronstert A (2015) Climate change impacts on the seasonality and generation processes of floods projections and uncertainties for catchments with mixed snowmelt/rainfall regimes. Hydrol Earth SystSci 19:913–931. https://doi.org/10.5194/hess-19-913-2015
- 53. Watson GS (1961) Goodness of fit tests on a circle. Biometrica 48:109–114
- 54. Yamamoto E, Yanagimoto T (1995) A modified likelihood ratio test for the mean direction in the von Mises distribution. Commun Stat Theory Methods 24:1706–2659
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-f0ae6cf9-d120-4292-ab74-3d660836f357