Chinese Journal of Ecology 2010, 29 (8) : 1477-1481 3 1, 2, 3 1, 2, 4 1, 2 1 1 13 3 ( 1, 110016; 2, 100049; 3, 410128; 4, 130021), 2 1 hm 2,W eiull q: 2 J, ;W eiull, W eiull,,w eiull ; 2 q ( 1174 1145),, q, ; ; q ; W eiull; S758. 5 A1000-4890 (2010) 8-1477 - 05 M odeling d iam eter d istr iution of pr imary roadleaf2korean pine m ixed forest in Changa i M oun ta in s. X IE Xiao2kui 1, 2, 3, SU Dong2kai 1, 2, 4, L IU Zheng2gang 1, 2, YU Da2pao 1, ZHOU L i 1, DA IL i2m in 1 ( 1 Institute of Applied Ecology, Chinese Academ y of Sciences, Shenyang 110016, Chi2 na; 2 Graduate U niversity of Chinese Academ y of Sciences, B eijing 100049, China; 3 Hunan Agricul2 tural U niversity, Changsha 410128, China; 4 J ilin Forest Industry Group L im ited L iaility Com pa2 ny, Changchun 130021, Ch ina). Ch inese Jou rna l of Ecology, 2010, 29 (8) : 1477-1481. Astract: Two 12ha p lots were set up in an old2growth roadleaf - Korean p ine m ixed forest in Changai Mountains, Northeast China, and the W eiull function, negative exponential function, and constant ratio q were used to model the diam eter distriution. In the two p lots, the diameter distriution of the trees all exhiited inverse J 2shape, which meant that understory regeneration was relatively good. Both W eiull and negative exponential functions were suitale for modeling the diam eter distriution in p rimary roadleaf - Korean p ine m ixed forest, ut W eiull function could etter p redict the numer of ig trees, compared w ith negative exponential function. The diam eter q values of the two p lots were small, eing 1174 and 1145, respectively, which meant that the slope of diameter distriution was quite m ild and there were many ig trees in the p lots. The constant ratio q was etter for exp ressing the diameter2density of roadleaf - Korean p ine m ixed forest, eing possile to e used to descrie the diam eter distriution of roadleaf - Korean p ine m ixed forest. Key words: roadleaf - Korean p ine m ixed forest; diameter distriution; constant ratio q; W eiull distriution; negative exponential distriution.,, (, 3 (30800139 40873067) (2006D03A09 ) ( 863 ) (2006AA10Z251) 3 3 E2mail: lmdai@ iae. ac. cn : 2010203211 : 2010205226 2006) (H itimana et al., 2004; Coomes & A llen, 2007), (Denslow, 1995; W ester et al., 2005), (Denslow, 1995;, 2005) ( Zenner, 2005)
1478 29 8 ( Feeley et al., 2007),,,,J (, 1997; N iklas et al., 2003), (, 1997;, 2005) 50,,,,, J (, 1985;, 2007; W ang et al., 2009), (, 2006),, W eiull (Bailey & Dell, 1973; Nord2 Larsen & Cao, 2006),,,,, ( Zenner, 2005), 2 1 hm 2,W eiull q, 1 111 ( 42 20 N 42 40 N, 127 29 E 128 02 E),, 700 m,1000 m,,,,,, 7 8, 800 1040 mm 115, 3212, - 4411, 10 2200 (, 2009 ),500 1100 m (, 2005) ( P inus kora iensis) ( Tilia am u rensis) ( Q uercus m ongolica ) ( F raxinus m andshurica ) (A cer m ono),,(, 1981) 112 2007 2,100 m 100 m, 2 1000 m, 200 m 25 20 m 20 m, 2 cm (DBH ),, 6 cm 113 4 cm, W eiull q W eiull 3,, (, 2006) Meyer(1952), (1) W eiull f ( x) = 0 x a c x - a c- 1 exp - x > a, > 0, c > 0 x - a c (1) : a,; ; c ; x () c 1 316, ; c < 1, J ; c = 1, f ( x) = 1 exp - x - a = kexp [ - k ( x - a) ]; c = 2, ; c = 316, ; c,, n i = NW ( c ) ( x i - a ) c- 1 exp - ( x i - a ) c = N W f ( x) (2) : n i i ; N ; W ; x i i( )
: 1479 (2) y = ae - x (3) : y() ; x ( ) ; e ; a,, a a,,, ( G l et a l., 2005) (3) q,2 q (Meyer, 1952) Meyer,, q, q : q = n i - 1 n i = ae- x i- 1 ae - x i = e h (4) : n i i, x i i, h, q q, q q,, ; q,, W eiull (W ang et al., 2009) W eiull,,, W eiull + + ( Relia Soft Corporation) MatLa (Math Works Corporation), (SPSS, SAS, R,Mat2 La) q MatLa 1 Ta. 1 Stand structura l character istics ( cm) ( hm - 2 ) (m 2 hm - 2 ) A1 8015 2117 17181 1118 0129 618 3814 A2 11010 2110 17107 1167 2166 624 3613 618 624 hm - 2 ( 1), 2 116 114 hm - 2 A1 A2 3814 3613 m 2 hm - 2 ( 1), A1 4+ 2 +1 +1+1 +1,A2 4+2 + 1+ 1+ 1 + 1,2 212 1, 2, 2,,,,2 (6 DBH < 18 cm )5915% 6411%,( 30 cm DBH ) 2713% 2218% J (, 2008) ( 2), A1 A2W eiull ( c) 019 0196,, c < 1, J,W eiull, A 1 ca 2 c, 2 211 1,A1 8015 cm, A2 110 cm, 2 2117 cm 21 cm;a1 A2 1118 1167,2 (),; A1 A2 0129 2166, A 1 A 2 12 F ig. 1 D BH2den sity d istr iution of stands 2 Ta. 2 Param eters of d iam eter d istr iution f itted function s W eiull q a c R 2 a R 2 A1 6100 15150 0190 0186 262160 0114 0192 1174 A2 6100 14190 0196 0191 211170 0109 0193 1145
1480 29 8 A1 W eiull, A1 A2,,A1 A2, A1 W eiull, (R 2 ) 0186, 01885;, (R 2 ) 0192, 01925, 2,W eiull,,,,,,,, ( 0) W eiull (R 2 ) > 0185, > 019 ( 2),, 2,, 2 ( 3 F ig. 3 Residua ls of oserved and m odel2pred icted den sity ) < 5; 17, ;,, ) 5, < 5, 2, ; 2 (,),( ) > 30 3, 2 W eiull ( 12 36 cm, 8 cm > 40 cm ( R 2 ),, 0; W eiull, 213 q 2,A1 A2 q 1174 11454 cm ( 2 cm ),q, ; A2 q,, 3 2 F ig. 2 O served and pred icted va lues of d iam eter d istr iu2 tion s w ith d ifferen t m odels, (, 2006),, 2 1 hm 2
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