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Discussion of ‘Mathematical Assessment of Synthetic Hydrology’ by N. C. Matalas
Author(s) -
Young G. K.
Publication year - 1968
Publication title -
water resources research
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.863
H-Index - 217
eISSN - 1944-7973
pISSN - 0043-1397
DOI - 10.1029/wr004i003p00681
Subject(s) - simple (philosophy) , principal component analysis , mathematics , principal (computer security) , component (thermodynamics) , hydrology (agriculture) , computer science , statistics , physics , thermodynamics , geology , geotechnical engineering , philosophy , epistemology , operating system
I wish to comment on the paper by N. C. Matalas, ‘Mathematical Assessment of Synthetic Hydrology,’ with regard to calculating the coefficients of equation 13. Assume that the cells of M 0 and M 1 are directly derived from data. This implies that A may be found using equation 16, which leaves the solution of B as the item of interest. Define C = M 0 − M 1 M 0 −1 M 1 t ; thus, C = BB t . Matalas demonstrates that B is not unique. The fact that C is symmetric permits a simple and direct solution for B , which avoids the application of principal component analysis.