Chin J Plant Ecol ›› 2014, Vol. 38 ›› Issue (6): 599-607.DOI: 10.3724/SP.J.1258.2014.00055
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MA Yu-Zhu,CHENG Dong-Liang(),ZHONG Quan-Lin,JIN Bing-Jie,LIN Jiang-Ming,LU Hong-Dian,GUO Bing-Qiao
Received:
2013-11-19
Accepted:
2014-05-15
Online:
2014-11-19
Published:
2014-06-10
Contact:
CHENG Dong-Liang
MA Yu-Zhu,CHENG Dong-Liang,ZHONG Quan-Lin,JIN Bing-Jie,LIN Jiang-Ming,LU Hong-Dian,GUO Bing-Qiao. Branching and metabolic exponents in seven woody plants[J]. Chin J Plant Ecol, 2014, 38(6): 599-607.
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URL: https://www.plant-ecology.com/EN/10.3724/SP.J.1258.2014.00055
物种 Species | 数量 n | 胸径范围 DBH range (cm) | 树高范围 Tree height range (m) | 地上生物量范围 Aboveground biomass range (kg) | 茎生物量范围 Stem biomass range (kg) | 叶生物量范围 Leaf biomass range (kg) | 叶面积范围 Leaf area range (m2) |
---|---|---|---|---|---|---|---|
Acer rubrum | 11 | 6-52 | 10-34 | 11-2 387 | 9-1 801 | 0.4-22.4 | 6-311 |
Betula lenta | 10 | 8-40 | 13-28 | 15-1 520 | 14-979 | 0.2-18.6 | 10-309 |
北美鹅掌楸 Liriodendron tulipifera | 10 | 10-56 | 14-40 | 27-2 256 | 24-1 982 | 0.8-16.7 | 16-266 |
Oxydendrum arboreum | 8 | 4-35 | 5-21 | 2-416 | 2-329 | 0.2-4.4 | 5-71 |
Quercus alba | 10 | 7-63 | 8-32 | 10-2 740 | 6-2 343 | 0.7-43.8 | 16-443 |
Quercus prinus | 10 | 11-58 | 12-30 | 27-2 990 | 22-2 614 | 1.1-28.2 | 15-289 |
Quercus rubra | 9 | 20-52 | 12-29 | 24-1 750 | 22-1 340 | 0.8-40.7 | 11-444 |
Table 1 Information of the trees studied
物种 Species | 数量 n | 胸径范围 DBH range (cm) | 树高范围 Tree height range (m) | 地上生物量范围 Aboveground biomass range (kg) | 茎生物量范围 Stem biomass range (kg) | 叶生物量范围 Leaf biomass range (kg) | 叶面积范围 Leaf area range (m2) |
---|---|---|---|---|---|---|---|
Acer rubrum | 11 | 6-52 | 10-34 | 11-2 387 | 9-1 801 | 0.4-22.4 | 6-311 |
Betula lenta | 10 | 8-40 | 13-28 | 15-1 520 | 14-979 | 0.2-18.6 | 10-309 |
北美鹅掌楸 Liriodendron tulipifera | 10 | 10-56 | 14-40 | 27-2 256 | 24-1 982 | 0.8-16.7 | 16-266 |
Oxydendrum arboreum | 8 | 4-35 | 5-21 | 2-416 | 2-329 | 0.2-4.4 | 5-71 |
Quercus alba | 10 | 7-63 | 8-32 | 10-2 740 | 6-2 343 | 0.7-43.8 | 16-443 |
Quercus prinus | 10 | 11-58 | 12-30 | 27-2 990 | 22-2 614 | 1.1-28.2 | 15-289 |
Quercus rubra | 9 | 20-52 | 12-29 | 24-1 750 | 22-1 340 | 0.8-40.7 | 11-444 |
物种 Species | n | 叶面积∝叶生物量 Leaf area ∝leaf biomass | 地上生物量∝茎生物量 Aboveground biomass ∝stem biomass | ||||
---|---|---|---|---|---|---|---|
斜率(95%置信区间) Slope (95% CI ) | R2 | p_1.0 | 斜率(95%置信区间) Slope (95% CI ) | R2 | p_1.0 | ||
Acer rubrum | 11 | 0.99a (0.92, 1.07) | 0.989** | 0.756 | 1.01 (0.98, 1.03) | 0.999** | 0.637 |
Betula lenta | 10 | 0.76c (0.66, 0.88) | 0.968** | 0.002 | 1.06 (1.02, 1.10) | 0.998** | 0.011 |
北美鹅掌楸 Liriodendron tulipifera | 10 | 0.96a (0.87, 1.06) | 0.986** | 0.365 | 0.99 (0.96, 1.02) | 0.999** | 0.416 |
Oxydendrum arboreum | 8 | 0.84ab (0.65, 1.07) | 0.937** | 0.129 | 0.98 (0.94, 1.02) | 0.998** | 0.216 |
Quercus alba | 10 | 0.83bc (0.75, 0.93) | 0.983** | 0.004 | 0.97 (0.92, 1.01) | 0.997** | 0.134 |
Quercus prinus | 10 | 0.92ab (0.79, 1.08) | 0.962** | 0.274 | 1.02 (0.95, 1.10) | 0.992** | 0.580 |
Quercus rubra | 9 | 0.93ab (0.87, 0.99) | 0.995** | 0.030 | 1.01 (0.96, 1.07) | 0.996** | 0.637 |
全部 All | 68 | 0.86 (0.80, 0.92) | 0.916** | <0.001 | 1.00 (0.98, 1.01) | 0.996** | 0.786 |
Table 2 Comparison of the scaling relationships of leaf area versus leaf biomass and aboveground biomass versus stem biomass in different species
物种 Species | n | 叶面积∝叶生物量 Leaf area ∝leaf biomass | 地上生物量∝茎生物量 Aboveground biomass ∝stem biomass | ||||
---|---|---|---|---|---|---|---|
斜率(95%置信区间) Slope (95% CI ) | R2 | p_1.0 | 斜率(95%置信区间) Slope (95% CI ) | R2 | p_1.0 | ||
Acer rubrum | 11 | 0.99a (0.92, 1.07) | 0.989** | 0.756 | 1.01 (0.98, 1.03) | 0.999** | 0.637 |
Betula lenta | 10 | 0.76c (0.66, 0.88) | 0.968** | 0.002 | 1.06 (1.02, 1.10) | 0.998** | 0.011 |
北美鹅掌楸 Liriodendron tulipifera | 10 | 0.96a (0.87, 1.06) | 0.986** | 0.365 | 0.99 (0.96, 1.02) | 0.999** | 0.416 |
Oxydendrum arboreum | 8 | 0.84ab (0.65, 1.07) | 0.937** | 0.129 | 0.98 (0.94, 1.02) | 0.998** | 0.216 |
Quercus alba | 10 | 0.83bc (0.75, 0.93) | 0.983** | 0.004 | 0.97 (0.92, 1.01) | 0.997** | 0.134 |
Quercus prinus | 10 | 0.92ab (0.79, 1.08) | 0.962** | 0.274 | 1.02 (0.95, 1.10) | 0.992** | 0.580 |
Quercus rubra | 9 | 0.93ab (0.87, 0.99) | 0.995** | 0.030 | 1.01 (0.96, 1.07) | 0.996** | 0.637 |
全部 All | 68 | 0.86 (0.80, 0.92) | 0.916** | <0.001 | 1.00 (0.98, 1.01) | 0.996** | 0.786 |
物种 Species | 估测值 Estimated values | 计算值 Calculated values | |||||
---|---|---|---|---|---|---|---|
叶面积∝胸径 Leaf area ∝DBH | 叶面积∝树高 Leaf area ∝height | 叶面积∝地上生物量 Leaf area ∝aboveground biomass | 1/(2a+b) | ||||
分支半径指数1/a (95%置信区间) Branching radius exponent 1/a (95% CI) | p_2.0 | 分支长度指数1/b (95%置信区间) Branching length exponent 1/b (95% CI) | p_3.0 | 代谢指数θ (95%置信区间) Metabolic exponent θ (95% CI) | p_0.75 | 代谢指数θ (95%置信区间) Metabolic exponent θ (95% CI) | |
Acer rubrum | 1.82 (1.52, 2.17) | 0.257 | 3.31ab (2.51, 4.38) | 0.446 | 0.70 (0.58, 0.86) | 0.500 | 0.71 (0.58, 0.87) |
Betula lenta | 2.04 (1.76, 2.37) | 0.753 | 4.75a (3.53, 6.39) | 0.007 | 0.74 (0.66, 0.84) | 0.888 | 0.84 (0.70, 1.00) |
北美鹅掌楸 Liriodendron tulipifera | 2.03 (1.50, 2.75) | 0.919 | 3.24ab (2.21, 4.74) | 0.664 | 0.77 (0.55, 1.06) | 0.880 | 0.77 (0.56, 1.07) |
Oxydendrum arboreum | 1.32 (1.07, 1.64) | 0.003 | 1.86c (1.21, 2.88) | 0.036 | 0.51 (0.40, 0.64) | 0.006 | 0.49 (0.37, 0.64) |
Quercus alba | 1.65 (1.01, 2.70) | 0.412 | 2.57bc (1.62, 4.07) | 0.470 | 0.63 (0.41, 0.97) | 0.381 | 0.62 (0.38, 1.01) |
Quercus prinus | 2.23 (1.62, 3.08) | 0.467 | 3.95ab (2.39, 6.54) | 0.257 | 0.76 (0.57, 1.02) | 0.906 | 0.87 (0.60, 1.25) |
Quercus rubra | 2.27 (1.69, 3.04) | 0.346 | 3.85ab (2.17, 6.84) | 0.357 | 0.86 (0.61, 1.19) | 0.390 | 0.88 (0.61, 1.24) |
全部 All | 1.87 (1.69, 2.07) | 0.190 | 2.98 (2.57, 3.45) | 0.916 | 0.70 (0.64, 0.77) | 0.188 | 0.71 (0.63, 0.80) |
Table 3 Estimated values of branching exponents, and estimated and calculated values of metabolic exponent based on leaf area for seven species
物种 Species | 估测值 Estimated values | 计算值 Calculated values | |||||
---|---|---|---|---|---|---|---|
叶面积∝胸径 Leaf area ∝DBH | 叶面积∝树高 Leaf area ∝height | 叶面积∝地上生物量 Leaf area ∝aboveground biomass | 1/(2a+b) | ||||
分支半径指数1/a (95%置信区间) Branching radius exponent 1/a (95% CI) | p_2.0 | 分支长度指数1/b (95%置信区间) Branching length exponent 1/b (95% CI) | p_3.0 | 代谢指数θ (95%置信区间) Metabolic exponent θ (95% CI) | p_0.75 | 代谢指数θ (95%置信区间) Metabolic exponent θ (95% CI) | |
Acer rubrum | 1.82 (1.52, 2.17) | 0.257 | 3.31ab (2.51, 4.38) | 0.446 | 0.70 (0.58, 0.86) | 0.500 | 0.71 (0.58, 0.87) |
Betula lenta | 2.04 (1.76, 2.37) | 0.753 | 4.75a (3.53, 6.39) | 0.007 | 0.74 (0.66, 0.84) | 0.888 | 0.84 (0.70, 1.00) |
北美鹅掌楸 Liriodendron tulipifera | 2.03 (1.50, 2.75) | 0.919 | 3.24ab (2.21, 4.74) | 0.664 | 0.77 (0.55, 1.06) | 0.880 | 0.77 (0.56, 1.07) |
Oxydendrum arboreum | 1.32 (1.07, 1.64) | 0.003 | 1.86c (1.21, 2.88) | 0.036 | 0.51 (0.40, 0.64) | 0.006 | 0.49 (0.37, 0.64) |
Quercus alba | 1.65 (1.01, 2.70) | 0.412 | 2.57bc (1.62, 4.07) | 0.470 | 0.63 (0.41, 0.97) | 0.381 | 0.62 (0.38, 1.01) |
Quercus prinus | 2.23 (1.62, 3.08) | 0.467 | 3.95ab (2.39, 6.54) | 0.257 | 0.76 (0.57, 1.02) | 0.906 | 0.87 (0.60, 1.25) |
Quercus rubra | 2.27 (1.69, 3.04) | 0.346 | 3.85ab (2.17, 6.84) | 0.357 | 0.86 (0.61, 1.19) | 0.390 | 0.88 (0.61, 1.24) |
全部 All | 1.87 (1.69, 2.07) | 0.190 | 2.98 (2.57, 3.45) | 0.916 | 0.70 (0.64, 0.77) | 0.188 | 0.71 (0.63, 0.80) |
Fig. 2 Branching exponents based on leaf area and leaf biomass. A, leaf area ∝diameter at breast height (DBH). B, leaf biomass ∝DBH. C, leaf area ∝tree height. D, leaf biomass ∝tree height.
物种 Species | 估测值 Estimated values | 计算值 Calculated values | |||||
---|---|---|---|---|---|---|---|
叶生物量∝胸径 Leaf biomass ∝DBH | 叶生物量∝树高 Leaf biomass ∝tree height | 叶生物量∝地上生物量 Leaf biomass ∝aboveground biomass | 1/(2a+b) | ||||
分支半径指数1/a (95%置信区间) Branching radius exponent 1/a (95% CI) | p_2.0 | 分支长度指数1/b (95%置信区间) Branching length exponent 1/b (95% CI) | p_3.0 | 代谢指数θ (95%置信区间) Metabolic exponent θ (95% CI) | p_0.75 | 代谢指数θ (95%置信区间) Metabolic exponent θ (95% CI) | |
Acer rubrum | 1.79bc (1.45, 2.20) | 0.257 | 3.32bc (2.54, 4.36) | 0.419 | 0.71bc (0.58, 0.88) | 0.591 | 0.70 (0.56, 0.88) |
Betula lenta | 2.65a (2.20, 3.20) | 0.008 | 6.18a (4.68, 8.15) | < 0.001 | 0.98a (0.86, 1.11) | 0.001 | 1.09 (0.89, 1.34) |
北美鹅掌楸 Liriodendron tulipifera | 2.10abc (1.53, 2.89) | 0.737 | 3.35bc (2.34, 4.80) | 0.505 | 0.80abc (0.59, 1.08) | 0.651 | 0.80 (0.58, 1.11) |
Oxydendrum arboreum | 1.51c (1.22, 1.88) | 0.018 | 2.25c (1.44, 3.51) | 0.170 | 0.61c (0.51, 0.73) | 0.030 | 0.57 (0.43, 0.74) |
Quercus alba | 1.87abc (1.20, 2.92) | 0.753 | 3.07bc (2.07, 4.55) | 0.902 | 0.75abc (0.53, 1.08) | 0.984 | 0.72 (0.47, 1.11) |
Quercus prinus | 2.28ab (1.72, 3.02) | 0.324 | 4.31ab (2.63, 7.07) | 0.135 | 0.83abc (0.62, 1.11) | 0.477 | 0.90 (0.65, 1.24) |
Quercus rubra | 2.42ab (1.76, 3.33) | 0.204 | 4.13abc (2.37, 7.21) | 0.232 | 0.92ab (0.68, 1.26) | 0.162 | 0.94 (0.64, 1.35) |
全部 All | 2.13 (1.91, 2.37) | 0.260 | 3.48 (2.95, 4.09) | 0.077 | 0.82 (0.75, 0.91) | 0.061 | 0.81 (0.72, 0.92) |
Table 4 Estimated values of branching exponent, and estimated and calculated values of metabolic exponent based on leaf biomass for different species
物种 Species | 估测值 Estimated values | 计算值 Calculated values | |||||
---|---|---|---|---|---|---|---|
叶生物量∝胸径 Leaf biomass ∝DBH | 叶生物量∝树高 Leaf biomass ∝tree height | 叶生物量∝地上生物量 Leaf biomass ∝aboveground biomass | 1/(2a+b) | ||||
分支半径指数1/a (95%置信区间) Branching radius exponent 1/a (95% CI) | p_2.0 | 分支长度指数1/b (95%置信区间) Branching length exponent 1/b (95% CI) | p_3.0 | 代谢指数θ (95%置信区间) Metabolic exponent θ (95% CI) | p_0.75 | 代谢指数θ (95%置信区间) Metabolic exponent θ (95% CI) | |
Acer rubrum | 1.79bc (1.45, 2.20) | 0.257 | 3.32bc (2.54, 4.36) | 0.419 | 0.71bc (0.58, 0.88) | 0.591 | 0.70 (0.56, 0.88) |
Betula lenta | 2.65a (2.20, 3.20) | 0.008 | 6.18a (4.68, 8.15) | < 0.001 | 0.98a (0.86, 1.11) | 0.001 | 1.09 (0.89, 1.34) |
北美鹅掌楸 Liriodendron tulipifera | 2.10abc (1.53, 2.89) | 0.737 | 3.35bc (2.34, 4.80) | 0.505 | 0.80abc (0.59, 1.08) | 0.651 | 0.80 (0.58, 1.11) |
Oxydendrum arboreum | 1.51c (1.22, 1.88) | 0.018 | 2.25c (1.44, 3.51) | 0.170 | 0.61c (0.51, 0.73) | 0.030 | 0.57 (0.43, 0.74) |
Quercus alba | 1.87abc (1.20, 2.92) | 0.753 | 3.07bc (2.07, 4.55) | 0.902 | 0.75abc (0.53, 1.08) | 0.984 | 0.72 (0.47, 1.11) |
Quercus prinus | 2.28ab (1.72, 3.02) | 0.324 | 4.31ab (2.63, 7.07) | 0.135 | 0.83abc (0.62, 1.11) | 0.477 | 0.90 (0.65, 1.24) |
Quercus rubra | 2.42ab (1.76, 3.33) | 0.204 | 4.13abc (2.37, 7.21) | 0.232 | 0.92ab (0.68, 1.26) | 0.162 | 0.94 (0.64, 1.35) |
全部 All | 2.13 (1.91, 2.37) | 0.260 | 3.48 (2.95, 4.09) | 0.077 | 0.82 (0.75, 0.91) | 0.061 | 0.81 (0.72, 0.92) |
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