Hydrological determination of hierarchical clustering scheme by using small experimental matrix
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1 Hydology Dy 007 Hydologcl do of hchcl clg ch y g ll xpl x M. Cüyd Dl Il Tchcl Uy, I of Scc d Tchology, 449 Mlk Il, Tky; lo Rol School of M d Aophc Scc, Do of Moology d Phycl cogphy (RSMAS/MP), Uy of M, M, Flod, USA Ec Khy Il Tchcl Uy, Cl Egg Dp, Hydlc Do, 449 Mlk Il, Tky Ac. I h go w d h pfoc of f ll hchcl clg lgoh d dc c. A ly cho xpl x (x) w d h ly o l 45 clg ch g h ddog d copho coffc dx. Po kowldg of cl dpo w h ky l o d o-fl cl c. Th coo of Ecld c d Wd hod o pfd o df hoogo cl hydologcl d; how, h coo of Mhlo c d Ag Lkg hod gd wh hgh copho dx (0.9040). Th o ffc gopg w chd y h of Cy Block d Ecld c ll coo whl h oh dc c ld o-pl ddog. Mjo ddog plo d h copho dx l pd fo l copo.. Iodco Upd lg lgoh, ch clg d gho clfco, ly o po dfo of dc o h p do (Xg l., 00). I kow h lcg good c cclly ffc h lgoh pfoc. Dc c h l ool dff dcply pplco gg fo l-dol clg d pd lg (clg) o polc odp hod fo locl pl, -chg k (Coh l. 00), p cogo d doc owg fo d (Schlz d Joch, 004; Aggwl l., 00). Sc ch fold fo pcfc pol, gh o cc fo ll clg c hydologcl pplco. Thfo w d o xplo h pfoc of cclg lgoh coo g y po kowldg fo h c d hchcl clg lgoh. Aoc. Pof., Hydlc Do Cl Egg Dp Il Tchcl Uy 449 Mlk Il, Tky Tl: + 90 () l: khy@.d. Hydology Dy
2 Dl d Khy Ul h 980, h dco cocd ly o chq h cop dff clg lgoh. A h d of h 980, h whol poc of clg-g wh h lco of dc c d hod h dg wh h ldo of cl c do (A l., 99). Th pfoc of y clg d d g lgoh dpd ly o h g g good c o h p pc. Th pol pclly c pd g, ch hchcl clg, d ld o h pl pol of h of g o ol gh w fo clg d (Xg l., 00). I h pp, w oly d h pfoc pol y of copho coffc d pl plo (ddog). Th l lo cldd o h x l o k h lk h cl; hc, l pco cold pol h d of h clg ch od o ly dgh h cc d fl of 45 chod coo. Th ddog c og dc of fl gglo clg hod, whch of d hydologcl pplco.. D Th xpl x (x) popod y Dl (004) w d o ly. A oo, gg fo o, w gd o ch y (hydoc o). Th h col of l w cho o ch o p h cl o h h cool c wll clly dc cl y hchy : (, ), (, 4) d (5, ).. Mhod Th ch lo hod do o q y po po o h c of h x clg pl. Th hchcl clg dc o h ghog y. Th ll c Ml pog g Tl (Ul-). Th f followg ccl p h ly pocd: () () () () () h choc of l, dco o ddzo, h choc of ly c, lco of hod, h of cl, of ly (ldo) h clg ch. How h dc c o ly c lco ffc h cl c. Th jo p cl ly old y A l., (99); E, (99); Ul-, d H l., (987).
3 Hydologcl do of hchcl clg g ll xpl x Tl. Dc c (Ul-). Sqd Ecld dc: Eq. ( ) Ecld dc: d = x x p ( ) / j k jk k = Eq. ( ) Mhlo dc: Eq. ( ) wh V h pl coc x. Cy Block c: Eq. ( 4 ) Mkowk c: Eq. ( 5 ) o h fo p =, h Mkowk c co h Cy Block c; d fo p =, h Mkowk c ql o h Ecld dc. Co dc: Eq. ( ) Colo dc: wh Eq. ( 7 )
4 Dl d Khy Hg dc: Eq. ( 8 ) Jccd dc: Eq. ( 9 ) 4. Rl: Th pfoc lo cd o fo ll c g Tl. ly h gfc plo wll pd h o do h clg pfoc. I g h, oly h Cy Block (Eq. 4), Mkowk (Eq. 5), d oh Ecld c (Eq. d ) pfod wll wh hchcl clg hod coo. How Hg d Jccd (Eq. 8 d 9) fld d ld h c xcp fo h Cod hod c (Fg d ). 5 4o D c Fg. Hchy plo fo h coo of Hg dc c d Sgl Lkg hod. Th Mhlo dc (Eq. ) d Wd hod coo ld cl d dc plo wh hgh copho dx of 0.840, dcg o clg ch fo hydologcl d (Fg, Tl ). 4
5 Hydologcl do of hchcl clg g ll xpl x 5 4o D c Fg. Hchy plo fo h coo of Jccd dc c d Cod hod. 5 4o D c Fg. Hchy plo fo h coo of Mhlo dc c d Wd hod. Ecld dc h o cooly d dly cl ly. Th l w podd y Gog d Rch (995) how h h lg joy (85%) of go ppld h c h hydology d pp. Th l of h dy fy h coo g oo wh wll-cd plo d hgh l of copho dx (Fg 4, Tl ). Co c (Eq. ) wh Sgl Lkg (SL) hod 5
6 Dl d Khy fld h l pco d o wll-kow chg ffc of SL (E, 99, Fg 4). 5 4o.5.5 D c Fg 4. Hchy plo fo h coo of Ecld dc c d Wd hod. 5 4 o D c 5 4 x 0-4 Fg 5. Hchy plo fo h coo of Co dc c d Sgl Lkg hod coo. I hold od h Mhlo dc c c d o gfcly po clg pfoc wh g wh Wd hod.
7 Hydology Dy 007 Tl. Dc c d clg hod coo dpd fo Dl (004). Mhod Coo Cl Mhp of o 4 5 Copho Coffc Ecld d Sgl Lkg Ecld d Copl Lkg Ecld d Ag Lkg Ecld d Cod Ecld d Wd Sqd Ecld d Sgl Lkg Sqd Ecld d Copl Lkg 0.87 Sqd Ecld d Ag Lkg Sqd Ecld d Cod Sqd Ecld d Wd Cylock d Sgl Lkg Cylock d Copl Lkg Cylock d Ag Lkg Cylock d Cod Cylock d Wd Mhlo d Sgl Lkg Mhlo d Copl Lkg Mhlo d Ag Lkg Mhlo d Cod Mhlo d Wd Mkowk d Sgl Lkg Mkowk d Copl Lkg Mkowk d Ag Lkg Mkowk d Cod Mkowk d Wd Co d Sgl Lkg Co d Copl Lkg Co d Ag Lkg Co d Cod Co d Wd Colo d Sgl Lkg Colo d Copl Lkg Colo d Ag Lkg Colo d Cod Colo d Wd Hg d Sgl Lkg - Hg d Copl Lkg - Hg d Ag Lkg - Hg d Cod - Hg d Wd - Jccd d Sgl Lkg - Jccd d Copl Lkg - Jccd d Ag Lkg - Jccd d Cod - Jccd d Wd - Hydology Dy
8 Dl d Khy hl h dc dd o pfo wll wh oh clg lgoh ch Copl Lkg o Cod. Th cl hp of,, d 4 w dfd cocly h p 5 d w o gd h cl. 4. Coclo I h pp, w pd pfoc fo dff dc c d clg hod. Th w ccoplhd y olg xpl x clg y 45 co. W ld h chod coo o collco of hchy plo d ld copho dx. Th dg howd h Cy Block, Mkowk, d oh Ecld dc c c ccflly d wh y hchcl clg hod. Th coo of Mhlo c d Ag Lkg hod gd wh hgh copho dx l of ; how, h c pfod h ddog c wh Wd hod. Hc h coo codd fo hydology d clg d. F wok dd oh wh pc o ll x d clg hod. I pcl, w do o y kow f h glzo pol fo lg d. Fho, h pow of h wold cd, f w pol o cld o coplx c x h cop clg pol. Rfc Aggwl, C. C., A. Hg, d D. A. K, 00: h pg ho of dc c hgh dol pc. I Pocdg of h Iol Cofc o D Thoy (ICDT 00), o. 97 Lc o Cop Scc, Spg- Vlg, Lodo, Egld. A, D., L. J. H, d G. D So, 99: Clg d clfco. Wold Scfc Pl., R Edg, J. Coh, W. W., R. Rk, d S. E. Fg, 00: A copo of g dc c fo -chg k. I Pocdg of h IJCAI-00 Wokhop o Ifoo Igo o h W (IIW-0). Dl, M. C., 004: Cl ly of flow d o Tky. M.Sc. Th, Il Tchcl Uy, Il. E, B., 99: Cl ly. d d. Hld P, Do of Wly, w Yok. Gog, X., d Rch M. B., 995: h pplco of cl ly o gowg o pcpo d oh Ac of h Rock. J. Cl, 8, H, J. F., R. E. Ado, d R. L., Th,987: Ml d ly wh dg. Mcll, w Yok; Coll Mcll, Lodo. Ul- <hp:// ccd Xg, E. P., A. Y. g, M. I. Jod, d S. Rll, 00: Dc c lg, wh pplco o clg wh d-foo. Adc l Ifoo Pocg Sy, 5,
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