Regional homogeneity verification through three statistical tests

Authors

DOI:

https://doi.org/10.24850/j-tyca-2010-04-10

Keywords:

L moments, discordancy, simulation, H Test, Wiltshire Test

Abstract

First, general concepts about regional flood frequency analysis are presented. Next, the Discordancy Test for the detection of records with anomalous data that are discordant with the group as a whole is described in detail. Two more tests are presented: the heterogeneity H test based on the simulation of 500 homogeneous regions and the Wiltshire Test, which used the local and regional coefficient of variation to establish a statistic value with c2 distribution. Then, the three statistical tests cited are used in four originally accepted homogeneous regions and the results are discussed. Lastly, conclusions are formulated, proposing the systematic application of the three tests to decide about the homogeneity of the studied region.

References

CAMPOS-ARANDA, D.F. Predicciones de volúmenes de sólidos en suspensión en cuencas sin aforos en la Región Hidrológica No. 25 (San Fernando-Soto La Marina). Tláloc. Núm. 33, enero-abril, 2005, pp. 22-28.

CAMPOS-ARANDA, D.F. Contraste de métodos regionales de estimación de crecientes en la cuenca del río Guayalejo, en Tamaulipas. Tláloc. Núm. 37, mayo-agosto, 2006, pp. 14-24.

CAMPOS-ARANDA, D.F. Ajuste regional de la distribución GVE en 34 estaciones pluviométricas de la zona Huasteca de San Luis Potosí. Agrociencia. Vol. 42, núm. 1, 2008a, pp. 57-70.

CAMPOS-ARANDA, D.F. Calibración del método Racional en ocho cuencas rurales menores de 1,650 km2 de la Región Hidrológica No. 10 (Sinaloa), México. Agrociencia. Vol. 42, núm. 6, 2008b, pp. 615-627.

CAMPOS-ARANDA, D.F. Aplicación de la prueba de Discordancias a las crecientes de la costa de Chiapas. Tema: Hidrología superficial y subterránea, ponencia 5. Memorias del XX Congreso Nacional de Hidráulica. 15 al 18 de octubre, Toluca, Estado de México, México, 2008c.

DALRYMPLE, T. Flood-Frequency Analyses. Manual of Hydrology. Part 3: Flood-Flow Techniques. Washington, D.C.: U.S. Geological Survey. Water-Supply Paper 1543-A, 1960.

FILL, H.D. and STEDINGER, J.R. Homogeneity test based upon Gumbel distribution and a critical appraisal of Dalrymple's test. Journal of Hydrology. Vol. 166, 1995, pp. 81-105. DOI: 10.1016/0022-1694(94)02599-7

GREENWOOD, J.A., LANWEHR, J.M., MATALAS, N.C. and WALLIS, J.R. Probability weighted moments: Definition and relation to parameters of several distributions expressable in inverse form. Water Resources Research. Vol. 15, 1979, pp. 1049-1054. DOI: 10.1029/WR015i005p01049

HOSKING, J.R.M. and WALLIS, J.R. Regional Frequency Analysis. An approach based on L-moments. Cambridge: Cambridge University Press, 1997, 224 pp. DOI: 10.1017/CBO9780511529443

IMTA. ERIC II: Extractor Rápido de Información Climatológica 1920-1998. 1 CD. Jiutepec, México: Comisión Nacional del Agua, Secretaría de Medio Ambiente y Recursos Naturales, Instituto Mexicano de Tecnología del Agua, 2000.

IMTA. Banco Nacional de Datos de Aguas Superficiales (BANDAS). 8 CD's. Jiutepec, México: Comisión Nacional del Agua, Secretaría de Medio Ambiente y Recursos Naturales, Instituto Mexicano de Tecnología del Agua, 2003.

METCALFE, A.V. Probability distributions and Monte Carlo simulation (chapter 2), and Random number generation (appendix 2). In Statistics in Civil Engineering. London: Arnold Publishers, 1997, pp. 7-38, 319-320.

RAO, A.R. and HAMED, K.H. Regional homogeneity and regionalization (chapter 2, theme 2.5). In Flood Frequency Analysis. Boca Raton, USA: CRC Press LLC, 2000, pp. 47-52.

WILTSHIRE, S.E. Regional flood frequency analysis I: Homogeneity statistics. Hydrological Sciences Journal. Vol. 31, 1986a, pp. 321-333. DOI: 10.1080/02626668609491051

WILTSHIRE, S.E. Identification of homogeneous regions for flood frequency analysis. Journal of Hydrology. Vol. 84, 1986b, pp. 287-302. DOI: 10.1016/0022-1694(86)90128-9

Published

2010-11-15

How to Cite

Campos-Aranda, D. F. (2010). Regional homogeneity verification through three statistical tests. Tecnología Y Ciencias Del Agua, 1(4), 157–165. https://doi.org/10.24850/j-tyca-2010-04-10

Most read articles by the same author(s)

1 2 3 4 > >>