To the problem of verification of hypotheses in hydrology

Authors

  • A.P. Lepikhin Mining Institute UB RAS; Perm State National Research University

DOI:

https://doi.org/10.7242/2658-705X/2019.2.1

Keywords:

the truth of scientific knowledge, truth criteria, hydrological objects, statistical distribution functions, parameterization of the Chezy coefficients, hydrochemical regime of water bodies

Abstract

The article considers the problem of assessing the truth of scientific knowledge and outlines three approaches to determining the truth of scientific hypotheses: practicality, consistency, and coherence with the provisions of a higher order. Each approach or concept has its own evaluation criteria. These three approaches or concepts are revealed on the example of verification of three hydrological problems: the use of statistical distribution functions for estimating extreme values, the parameterization of the Chézy coefficients and the efficiency of using arithmetic averages for characterizing the chemical composition of rivers. The study shows that the transfer of technologies well-tested on interpolation tasks to solving extrapolation problems is incorrect. The variety of calculated ratios for estimating the Chézy coefficient resulted from the complexity and multiparameter nature of hydraulic resistance formation processes in channel flows, as well as the stochasticity of the morphometric parameters of natural watercourses. The article also proves the inconsistency of arithmetic average evaluations for describing the processes of hydrochemical regime of water bodies. Parametric estimates of hydrochemical indicators of water quality are characterized by significant instability of statistical characteristics. The presence of a random parameter, that is the water discharge in the denominator, makes the distribution of hydrochemical parameters closer to the Cauchy distribution for which not only the second, but also the first statistical moment do not exist.

Author Biography

  • A.P. Lepikhin, Mining Institute UB RAS; Perm State National Research University
    доктор географических наук, профессор, заведующий лабораторией проблем гидрологии суши, Горный институт УрО РАН - филиал Пермского федерального исследовательского центра УрО РАН (ГИ УрО РАН); профессор кафедры гидрологии и охраны водных ресурсов, Пермский государственный национальный исследовательский университет (ПГНИУ)

References

  1. Apollov B.A. Ucenie o rekah. - Izd-vo. MGU, 1952. - 512 s.
  2. Barenblatt G.I. Avtomodel’nye avlenia - analiz razmernostej i skejling / per. s angl.: uceb. posobie. - Dolgoprudnyj MO: Izd. Dom Intellekt. - 2009. - 216 s.
  3. Vadzinskij R.N. Spravocnik po veroatnostnym raspredeleniam. - SPb.: Nauka, 2001. - 294 s.
  4. Gorbacev P.F. Formuly skorosti tecenia zidkosti. - M. - L., ONTI. Gl. red. stroitel’noj lit, 1936. - 171 s.
  5. Grisanin K.V. Gidravliceskoe soprotivlenie estestvennyh rusel. - SPb.: Gidrometeoizdat, 1992. - 184 s.
  6. Zagraevskij S.V. K voprosu o rekonstrukcii i datirovke cerkvi Pokrova na Nerli // Novye issledovania pamatnikov arhitektury Vladimiro-Suzdal’skogo muzea-zapovednika. - M.: Alev-V, 2008. - S. 129-146.
  7. Kobzar’ A.I. Prikladnaa matematiceskaa statistika. - M.: Fizmatlit, 2006. - 813 s.
  8. Lepihin A.P. K analizu struktury gidrograficeskih setej // Geograficeskij vestnik Geographical bulletin. - 2017. - No3 (42. doi 10.17072/2079-7877-2017-3-53-60).
  9. Lepihin A.P. K ocenke koefficienta gidravliceskogo soprotivlenia v gladkih trubah // Vycislitel’naa mehanika splosnyh sred. - 2015. - T. 8. - No 4. S. 369-375.
  10. Lepihin A.P., Bogomolov A.V. Istoria ustanovlenia i sovremennye predstavlenia ob osnovnoj zakonomernosti ravnomernogo ustanovivsegosa tecenia v vodotokah (k 240-letiu formuly A. Sezi) // Vodnoe hozajstvo Rossii: problemy, tehnologii, upravlenie. - 2015. - No 6. - S. 76-92.
  11. Lepihin A.P., Voznak A.A. Statisticeskie funkcii raspredelenia gidrohimiceskih pokazatelej kacestva vody poverhnostnyh vodnyh ob"ektov // Vodnoe hozajstvo Rossii. - 2012. - No 4. - S. 21-32.
  12. Maskovic L.A. Plan ekspluatacii vodnogo hozajstva Kamskoj GES // Materialy sovesania po voprosam ekspluatacii Kamskogo vodohranilisa. - Perm’, 1959.- S. 1-14.
  13. Sverdlov E.D. Beregis’! Vysokij impakt-faktor // Vestnik Rossijskoj akademii nauk. - 2018. - T. 88. - No 6. - S. 531-538.
  14. Sokolovskij D.L. Normy maksimal’nogo stoka vesennih pavodkov rek SSSR. - L.-M.: Gidrometeoizdat, 1937.
  15. Sokolovskij D.L. Primenenie krivyh raspredelenia k ustanovleniu veroatnostnyh kolebanij godovogo stoka rek v Evropejskoj casti SSSR. - M.: Gostehizdat, 1930. - 78s.
  16. Gioia G., Bombardelli F.A. Scaling und Similarity in Rough Channel Flows // Physical Review Letters. - Vol. 88. - No 1. - P. 014501-1-014501-4.
  17. Gioia G., Chakraborty P. Turbulent Friction in Rough Pipes and the Energy Spectrum of the Phenomenological Theory Physical Review Letters // PRL 96, 044502 (2006). - P. 044502-1-044502-4.
  18. Hazen A. Discussion of ’The probable variations in yearly runoff as determined from a study of California streams’ by L. Standish Hall. - ASCE Trans., 84, 1921. - P. 214-222.
  19. Herschel C. Frontinus and the water supply system of the city of Rome. - Boston, 1899. - P. 106.
  20. Foster H.A. Theoretical frequency curves. - ASCE Trans., 87. 1924. - P. 142-203.
  21. Fuller W.E. Flood flows. - ASCE Trans., 77, 1914. - P. 567-617.
  22. Challenges in irreproducible research URL: http:/www.nature.com/news/reproducibility-1.17552.

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Published

2019-07-04

Issue

No. 2 (2019)

Section

Research: theory and experiment

How to Cite

Lepikhin, A. . (2019). To the problem of verification of hypotheses in hydrology. Perm Federal Research Centre Journal, 2, 6-17. https://doi.org/10.7242/2658-705X/2019.2.1