植物生态学报 ›› 2017, Vol. 41 ›› Issue (12): 1228-1238.DOI: 10.17521/cjpe.2017.0115 cstr: 32100.14.cjpe.2017.0115
所属专题: 生态化学计量
杨蕾, 孙晗, 樊艳文, 韩威, 曾令兵, 刘超, 王襄平*(
)
出版日期:2017-12-10
发布日期:2018-02-23
基金资助:
YANG Lei, SUN Han, FAN Yan-Wen, HAN Wei, ZENG Ling-Bing, LIU Chao, WANG Xiang-Ping*(
)
Online:2017-12-10
Published:2018-02-23
摘要:
叶片是植物进行光合作用的器官, 研究叶片氮(N)、磷(P)含量和氮磷比(N:P)在地理和气候梯度上的变异规律有着重要的意义。该研究沿着长白山海拔梯度设置了14块样地, 测定了48种木本植物431份叶片样品的N、P含量和N:P, 以研究气候、植物功能型、谱系对叶片N、P含量以及N:P的相对影响大小, 探讨叶N、P化学计量特征在海拔梯度上的变化机制。结果表明, 叶片N含量、N:P随海拔的升高而降低, 与气温正相关, 与降水量负相关, 叶片P含量与海拔没有显著相关性。植物功能型是叶片N、P含量变异的重要影响因子, 灌木物种的叶N含量显著高于乔木, 两者的叶片P含量、N:P差异不显著; 阔叶、落叶物种的N、P含量和N:P分别显著高于针叶、常绿物种。气候对叶片N、P含量和N:P的作用显著, 但解释力不高(1.50%-2.98%)。系统发育关系是叶片N、P含量和N:P海拔格局形成的最主要因素, 解释了30.36%-54.38%的变异, 远大于气候的解释力。海拔梯度上的气候和物种组成变化对叶性状没有明显的协同作用。
杨蕾, 孙晗, 樊艳文, 韩威, 曾令兵, 刘超, 王襄平. 长白山木本植物叶片氮磷含量的海拔梯度格局及影响因子. 植物生态学报, 2017, 41(12): 1228-1238. DOI: 10.17521/cjpe.2017.0115
YANG Lei, SUN Han, FAN Yan-Wen, HAN Wei, ZENG Ling-Bing, LIU Chao, WANG Xiang-Ping. Changes in leaf nitrogen and phosphorus stoichiometry of woody plants along an altitudinal gradient in Changbai Mountain, China. Chinese Journal of Plant Ecology, 2017, 41(12): 1228-1238. DOI: 10.17521/cjpe.2017.0115
| 叶性状 Leaf trait | 功能群 Functional group | 样本量 n | 平均值 Mean | 最大值 Max | 最小值 Min | 标准偏差 SD | 标准误差 SE | 变异系数 CV | |
|---|---|---|---|---|---|---|---|---|---|
| 氮含量 N concentration (g·kg-1) | 全部样品 All samples | 431 | 21.46 | 37.90 | 5.10 | 6.75 | 0.33 | 0.31 | |
| 生活型 Life form | 乔木 Tree | 240 | 20.74b | 37.90 | 5.10 | 6.80 | 0.44 | 0.33 | |
| 灌木 Shrub | 191 | 22.37a | 37.40 | 6.80 | 6.59 | 0.48 | 0.29 | ||
| 叶型 Leaf shape | 针叶 Coniferous | 89 | 15.50b | 36.80 | 8.50 | 4.91 | 0.52 | 0.32 | |
| 阔叶 Broad-leaved | 342 | 23.02a | 37.90 | 5.10 | 6.29 | 0.34 | 0.27 | ||
| 叶片习性 Leaf habit | 常绿 Evergreen | 87 | 14.49b | 35.00 | 8.44 | 4.42 | 0.47 | 0.31 | |
| 落叶 Deciduous | 344 | 23.23a | 37.90 | 5.10 | 6.06 | 0.33 | 0.26 | ||
| 磷含量 P concentration (g·kg-1) | 全部样品 All samples | 431 | 2.23 | 6.75 | 0.66 | 0.87 | 0.04 | 0.39 | |
| 生活型 Life form | 乔木 Tree | 240 | 2.22 | 6.75 | 0.66 | 0.93 | 0.06 | 0.42 | |
| 灌木 Shrub | 191 | 2.25 | 5.29 | 0.77 | 0.80 | 0.06 | 0.35 | ||
| 叶型 Leaf shape | 针叶 Coniferous | 89 | 1.91b | 4.13 | 0.66 | 0.77 | 0.08 | 0.40 | |
| 阔叶 Broad-leaved | 342 | 2.32a | 6.75 | 0.77 | 0.88 | 0.05 | 0.38 | ||
| 叶片习性 Leaf habit | 常绿 Evergreen | 87 | 1.74b | 3.30 | 0.66 | 0.66 | 0.07 | 0.38 | |
| 落叶 Deciduous | 344 | 2.36a | 6.75 | 0.99 | 0.87 | 0.05 | 0.37 | ||
| N:P | 全部样品 All samples | 431 | 10.81 | 33.70 | 2.47 | 4.77 | 0.23 | 0.44 | |
| 生活型 Life form | 乔木 Tree | 240 | 10.60 | 33.70 | 2.47 | 4.89 | 0.32 | 0.46 | |
| 灌木 Shrub | 191 | 11.07 | 26.34 | 3.12 | 4.62 | 0.33 | 0.42 | ||
| 叶型 Leaf shape | 针叶 Coniferous | 89 | 9.35b | 25.92 | 3.90 | 4.68 | 0.50 | 0.50 | |
| 阔叶 Broad-leaved | 342 | 11.19a | 33.70 | 2.47 | 4.72 | 0.26 | 0.42 | ||
| 叶片习性 Leaf habit | 常绿 Evergreen | 87 | 9.75b | 25.92 | 3.28 | 4.93 | 0.53 | 0.51 | |
| 落叶 Deciduous | 344 | 11.08a | 33.70 | 2.47 | 4.70 | 0.25 | 0.42 | ||
表1 长白山木本植物叶片氮、磷含量和氮磷比统计特征
Table 1 Statistics of leaf nitrogen (N), phosphorus (P) concentrations and N:P of the examined plant species in Changbai Mountain
| 叶性状 Leaf trait | 功能群 Functional group | 样本量 n | 平均值 Mean | 最大值 Max | 最小值 Min | 标准偏差 SD | 标准误差 SE | 变异系数 CV | |
|---|---|---|---|---|---|---|---|---|---|
| 氮含量 N concentration (g·kg-1) | 全部样品 All samples | 431 | 21.46 | 37.90 | 5.10 | 6.75 | 0.33 | 0.31 | |
| 生活型 Life form | 乔木 Tree | 240 | 20.74b | 37.90 | 5.10 | 6.80 | 0.44 | 0.33 | |
| 灌木 Shrub | 191 | 22.37a | 37.40 | 6.80 | 6.59 | 0.48 | 0.29 | ||
| 叶型 Leaf shape | 针叶 Coniferous | 89 | 15.50b | 36.80 | 8.50 | 4.91 | 0.52 | 0.32 | |
| 阔叶 Broad-leaved | 342 | 23.02a | 37.90 | 5.10 | 6.29 | 0.34 | 0.27 | ||
| 叶片习性 Leaf habit | 常绿 Evergreen | 87 | 14.49b | 35.00 | 8.44 | 4.42 | 0.47 | 0.31 | |
| 落叶 Deciduous | 344 | 23.23a | 37.90 | 5.10 | 6.06 | 0.33 | 0.26 | ||
| 磷含量 P concentration (g·kg-1) | 全部样品 All samples | 431 | 2.23 | 6.75 | 0.66 | 0.87 | 0.04 | 0.39 | |
| 生活型 Life form | 乔木 Tree | 240 | 2.22 | 6.75 | 0.66 | 0.93 | 0.06 | 0.42 | |
| 灌木 Shrub | 191 | 2.25 | 5.29 | 0.77 | 0.80 | 0.06 | 0.35 | ||
| 叶型 Leaf shape | 针叶 Coniferous | 89 | 1.91b | 4.13 | 0.66 | 0.77 | 0.08 | 0.40 | |
| 阔叶 Broad-leaved | 342 | 2.32a | 6.75 | 0.77 | 0.88 | 0.05 | 0.38 | ||
| 叶片习性 Leaf habit | 常绿 Evergreen | 87 | 1.74b | 3.30 | 0.66 | 0.66 | 0.07 | 0.38 | |
| 落叶 Deciduous | 344 | 2.36a | 6.75 | 0.99 | 0.87 | 0.05 | 0.37 | ||
| N:P | 全部样品 All samples | 431 | 10.81 | 33.70 | 2.47 | 4.77 | 0.23 | 0.44 | |
| 生活型 Life form | 乔木 Tree | 240 | 10.60 | 33.70 | 2.47 | 4.89 | 0.32 | 0.46 | |
| 灌木 Shrub | 191 | 11.07 | 26.34 | 3.12 | 4.62 | 0.33 | 0.42 | ||
| 叶型 Leaf shape | 针叶 Coniferous | 89 | 9.35b | 25.92 | 3.90 | 4.68 | 0.50 | 0.50 | |
| 阔叶 Broad-leaved | 342 | 11.19a | 33.70 | 2.47 | 4.72 | 0.26 | 0.42 | ||
| 叶片习性 Leaf habit | 常绿 Evergreen | 87 | 9.75b | 25.92 | 3.28 | 4.93 | 0.53 | 0.51 | |
| 落叶 Deciduous | 344 | 11.08a | 33.70 | 2.47 | 4.70 | 0.25 | 0.42 | ||
图2 叶片氮(N)、磷(P)含量和氮磷比(N:P)与年平均气温和年降水量的关系。
Fig. 2 Leaf nitrogen (N), phosphorus (P) concentrations and N:P in relation to mean annual temperature and mean annual precipitation.
| 叶性状 Leaf traits | 年平均气温 Mean annual temperature | 年降水量 Mean annual precipitation | 生活型 Life form | 叶型 Leaf shape | 叶片习性 Leaf habit | 90 Mya谱系组 90 Mya division | 60 Mya谱系组 60 Mya division | 物种 Species | |
|---|---|---|---|---|---|---|---|---|---|
| 氮含量 N concentration | R2 | 0.012 | 0.012 | 0.016 | 0.229 | 0.324 | 0.415 | 0.459 | 0.536 |
| p | 0.023* | 0.025* | 0.008** | 0.000*** | 0.000*** | 0.000*** | 0.000*** | 0.000*** | |
| 磷含量 P concentration | R2 | 0.003 | 0.003 | 0.002 | 0.049 | 0.115 | 0.216 | 0.306 | 0.391 |
| p | 0.233 | 0.247 | 0.342 | 0.000*** | 0.000*** | 0.000*** | 0.000*** | 0.000*** | |
| N:P | R2 | 0.016 | 0.016 | 0.003 | 0.028 | 0.018 | 0.152 | 0.215 | 0.303 |
| p | 0.008** | 0.009** | 0.257 | 0.000*** | 0.005** | 0.000*** | 0.000*** | 0.000*** |
表2 各变量对氮(N)、磷(P)含量和氮磷比(N:P)的单因子解释力
Table 2 Contributions of each factor to the variations of leaf nitrogen (N), phosphorus (P) concentrations and N:P
| 叶性状 Leaf traits | 年平均气温 Mean annual temperature | 年降水量 Mean annual precipitation | 生活型 Life form | 叶型 Leaf shape | 叶片习性 Leaf habit | 90 Mya谱系组 90 Mya division | 60 Mya谱系组 60 Mya division | 物种 Species | |
|---|---|---|---|---|---|---|---|---|---|
| 氮含量 N concentration | R2 | 0.012 | 0.012 | 0.016 | 0.229 | 0.324 | 0.415 | 0.459 | 0.536 |
| p | 0.023* | 0.025* | 0.008** | 0.000*** | 0.000*** | 0.000*** | 0.000*** | 0.000*** | |
| 磷含量 P concentration | R2 | 0.003 | 0.003 | 0.002 | 0.049 | 0.115 | 0.216 | 0.306 | 0.391 |
| p | 0.233 | 0.247 | 0.342 | 0.000*** | 0.000*** | 0.000*** | 0.000*** | 0.000*** | |
| N:P | R2 | 0.016 | 0.016 | 0.003 | 0.028 | 0.018 | 0.152 | 0.215 | 0.303 |
| p | 0.008** | 0.009** | 0.257 | 0.000*** | 0.005** | 0.000*** | 0.000*** | 0.000*** |
| N | P | N:P | |||||||
|---|---|---|---|---|---|---|---|---|---|
| df | %SS | p | df | %SS | p | df | %SS | p | |
| 气候 Climate | |||||||||
| 年平均气温 Mean annual temperature | 1 | 1.21 | 0.001** | 1 | 0.33 | 0.146 | 1 | 1.65 | 0.002** |
| 年降水量 Mean annual precipitation | 1 | 0.61 | 0.022* | 1 | 0.45 | 0.089 | 1 | 1.28 | 0.007** |
| 植物功能型 Plant functional groups | |||||||||
| 生活型 Life form | 1 | 1.54 | 0.000*** | 1 | 0.22 | 0.237 | 1 | 0.27 | 0.214 |
| 叶型 Leaf shape | 1 | 22.60 | 0.000*** | 1 | 5.70 | 0.000*** | 1 | 2.24 | 0.000*** |
| 叶片习性 Leaf habit | 1 | 9.34 | 0.000*** | 1 | 6.46 | 0.000*** | 1 | 0.02 | 0.767 |
| 谱系 Phylogeny | |||||||||
| 90 Mya谱系组 90 Mya division | 18 | 12.06 | 0.000*** | 18 | 13.03 | 0.000*** | 18 | 13.18 | 0.000*** |
| 60 Mya谱系组 60 Mya division | 10 | 3.82 | 0.000*** | 10 | 8.10 | 0.000*** | 10 | 7.34 | 0.000*** |
| 物种 Species | 17 | 5.01 | 0.000*** | 17 | 6.33 | 0.002** | 17 | 7.32 | 0.001** |
| 残差 Residuals | 380 | 43.81 | 380 | 59.36 | 380 | 66.72 | |||
表3 气候、植物功能型、谱系对叶片氮(N)、磷(P)含量和氮磷比(N:P)影响的一般线性模型
Table 3 Summary of results of general linear model analysis for the effects of environmental factors, plant functional groups and phylogeny (90 and 60 Mya phylogenetic group, species) on leaf nitrogen (N), phosphorus (P) concentrations and N:P
| N | P | N:P | |||||||
|---|---|---|---|---|---|---|---|---|---|
| df | %SS | p | df | %SS | p | df | %SS | p | |
| 气候 Climate | |||||||||
| 年平均气温 Mean annual temperature | 1 | 1.21 | 0.001** | 1 | 0.33 | 0.146 | 1 | 1.65 | 0.002** |
| 年降水量 Mean annual precipitation | 1 | 0.61 | 0.022* | 1 | 0.45 | 0.089 | 1 | 1.28 | 0.007** |
| 植物功能型 Plant functional groups | |||||||||
| 生活型 Life form | 1 | 1.54 | 0.000*** | 1 | 0.22 | 0.237 | 1 | 0.27 | 0.214 |
| 叶型 Leaf shape | 1 | 22.60 | 0.000*** | 1 | 5.70 | 0.000*** | 1 | 2.24 | 0.000*** |
| 叶片习性 Leaf habit | 1 | 9.34 | 0.000*** | 1 | 6.46 | 0.000*** | 1 | 0.02 | 0.767 |
| 谱系 Phylogeny | |||||||||
| 90 Mya谱系组 90 Mya division | 18 | 12.06 | 0.000*** | 18 | 13.03 | 0.000*** | 18 | 13.18 | 0.000*** |
| 60 Mya谱系组 60 Mya division | 10 | 3.82 | 0.000*** | 10 | 8.10 | 0.000*** | 10 | 7.34 | 0.000*** |
| 物种 Species | 17 | 5.01 | 0.000*** | 17 | 6.33 | 0.002** | 17 | 7.32 | 0.001** |
| 残差 Residuals | 380 | 43.81 | 380 | 59.36 | 380 | 66.72 | |||
图3 气候和物种(即谱系的总解释力, 见He et al., 2010)对叶片氮(N)、磷(P)元素影响的方差分解图。A, 叶片N含量。B, 叶片P含量。C, 叶片N:P。a和b分别为气候和谱系的单独解释力, c为两者的协同作用。采用F检验对a、b的显著性进行检验。***, p < 0.001; **, p < 0.01。
Fig. 3 Variation partitioning analysis for leaf nitrogen (N), phosphorus (P) concentrations and N:P by three types of factors: Climate (mean annual temperature and mean annual precipitation), species (phylogenetic differences among species, He et al., 2010), and unexplained variations. A, leaf N concentration. B, leaf P concentration. C, N:P. a and b are the pure effects of climate and species, respectively; c is their synergistic effects. The significances of a and b were evaluated with F test. ***, p < 0.001; **, p < 0.01.
| 样地 Plot | 经度 Longitude (°E) | 纬度 Latitude (°N) | 海拔 Altitude (m) | 林型 Forest type |
|---|---|---|---|---|
| CB01 | 128.11 | 42.39 | 530 | 白桦林 Betula platyphylla forest |
| CB02 | 128.08 | 42.41 | 650 | 阔叶红松林 Pinus koraiensis and broadleaf mixed forest |
| CB03 | 128.12 | 42.32 | 840 | 阔叶红松林 Pinus koraiensis and broadleaf mixed forest |
| CB04 | 128.17 | 42.23 | 950 | 白桦林 Betula platyphylla forest |
| CB05 | 128.17 | 42.23 | 970 | 阔叶红松林 Pinus koraiensis and broadleaf mixed forest |
| CB06 | 128.17 | 42.19 | 1 010 | 云冷杉林 Picea and Abies forest |
| CB07 | 128.11 | 42.12 | 1 270 | 阔叶红松林 Pinus koraiensis and broadleaf mixed forest |
| CB08 | 128.26 | 42.07 | 1 420 | 云冷杉林 Picea and Abies forest |
| CB09 | 128.09 | 42.10 | 1 420 | 长白落叶松林 Larix olgensis forest |
| CB10 | 128.24 | 42.08 | 1 440 | 长白落叶松林 Larix olgensis forest |
| CB11 | 128.08 | 42.09 | 1 530 | 长白落叶松林 Larix olgensis forest |
| CB12 | 128.07 | 42.07 | 1 660 | 长白落叶松林 Larix olgensis forest |
| CB13 | 128.07 | 42.06 | 1 885 | 岳桦林 Betula ermanii forest |
| CB14 | 128.07 | 42.06 | 1 940 | 岳桦林 Betula ermanii forest |
附录I 长白山样地信息表
Appendix I General information of the plots on Changbai Mountain
| 样地 Plot | 经度 Longitude (°E) | 纬度 Latitude (°N) | 海拔 Altitude (m) | 林型 Forest type |
|---|---|---|---|---|
| CB01 | 128.11 | 42.39 | 530 | 白桦林 Betula platyphylla forest |
| CB02 | 128.08 | 42.41 | 650 | 阔叶红松林 Pinus koraiensis and broadleaf mixed forest |
| CB03 | 128.12 | 42.32 | 840 | 阔叶红松林 Pinus koraiensis and broadleaf mixed forest |
| CB04 | 128.17 | 42.23 | 950 | 白桦林 Betula platyphylla forest |
| CB05 | 128.17 | 42.23 | 970 | 阔叶红松林 Pinus koraiensis and broadleaf mixed forest |
| CB06 | 128.17 | 42.19 | 1 010 | 云冷杉林 Picea and Abies forest |
| CB07 | 128.11 | 42.12 | 1 270 | 阔叶红松林 Pinus koraiensis and broadleaf mixed forest |
| CB08 | 128.26 | 42.07 | 1 420 | 云冷杉林 Picea and Abies forest |
| CB09 | 128.09 | 42.10 | 1 420 | 长白落叶松林 Larix olgensis forest |
| CB10 | 128.24 | 42.08 | 1 440 | 长白落叶松林 Larix olgensis forest |
| CB11 | 128.08 | 42.09 | 1 530 | 长白落叶松林 Larix olgensis forest |
| CB12 | 128.07 | 42.07 | 1 660 | 长白落叶松林 Larix olgensis forest |
| CB13 | 128.07 | 42.06 | 1 885 | 岳桦林 Betula ermanii forest |
| CB14 | 128.07 | 42.06 | 1 940 | 岳桦林 Betula ermanii forest |
| |
附录II 长白山地区47物种谱系树, 基于Zanne等(2014)系统树作图。黑色实线进行的是90百万年以前(Mya)谱系组的划分(n = 19), 黑色虚线进行的是60 Mya谱系组的划分(n = 30)
Appendix II Phylogenetic tree for 47 species in this study, based on the phylogenetic tree of Zanne et al. (2014). Showing the phylogenetic divisions at the 90 and 60 million years ago (Mya)
| |
| 氮 Nitrogen | 磷 Phosphorus | N:P | |||||||||||||||||||
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
| df | %SS | p | df | %SS | p | df | %SS | p | |||||||||||||
| 气候 Climate | |||||||||||||||||||||
| 年平均气温 Mean annual temperature | 1 | 1.21 | 0.001** | 1 | 0.33 | 0.146 | 1 | 1.65 | 0.002** | ||||||||||||
| 年降水量 Mean annual precipitation | 1 | 0.61 | 0.022* | 1 | 0.45 | 0.089 | 1 | 1.28 | 0.007** | ||||||||||||
| 植物功能型 Plant functional groups | |||||||||||||||||||||
| 生活型 Life form | 1 | 1.54 | 0.000*** | 1 | 0.22 | 0.237 | 1 | 0.27 | 0.214 | ||||||||||||
| 叶型 Leaf shape | 1 | 22.60 | 0.000*** | 1 | 5.70 | 0.000*** | 1 | 2.24 | 0.000*** | ||||||||||||
| 叶片习性 Leaf habit | 1 | 9.34 | 0.000*** | 1 | 6.46 | 0.000*** | 1 | 0.02 | 0.767 | ||||||||||||
| 系统发育关系 Taxonomy | |||||||||||||||||||||
| 科 Family | 17 | 11.50 | 0.000*** | 17 | 9.85 | 0.000*** | 17 | 9.81 | 0.000*** | ||||||||||||
| 属 Genus | 10 | 3.11 | 0.003** | 10 | 8.79 | 0.000*** | 10 | 6.30 | 0.000*** | ||||||||||||
| 种 Species | 18 | 6.29 | 0.000*** | 18 | 8.83 | 0.000*** | 18 | 11.73 | 0.000*** | ||||||||||||
| 残差 Residuals | 380 | 43.81 | 380 | 59.36 | 380 | 66.72 | |||||||||||||||
附录III 气候、植物功能型、分类群科属种对叶性状影响的一般线性模型
Appendix III Summary of general linear models for the effects of environmental variation (mean annual temperature and mean annual precipitation), plant functional groups and taxonomic variation (family, genus, and species) on individual leaf traits
| 氮 Nitrogen | 磷 Phosphorus | N:P | |||||||||||||||||||
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
| df | %SS | p | df | %SS | p | df | %SS | p | |||||||||||||
| 气候 Climate | |||||||||||||||||||||
| 年平均气温 Mean annual temperature | 1 | 1.21 | 0.001** | 1 | 0.33 | 0.146 | 1 | 1.65 | 0.002** | ||||||||||||
| 年降水量 Mean annual precipitation | 1 | 0.61 | 0.022* | 1 | 0.45 | 0.089 | 1 | 1.28 | 0.007** | ||||||||||||
| 植物功能型 Plant functional groups | |||||||||||||||||||||
| 生活型 Life form | 1 | 1.54 | 0.000*** | 1 | 0.22 | 0.237 | 1 | 0.27 | 0.214 | ||||||||||||
| 叶型 Leaf shape | 1 | 22.60 | 0.000*** | 1 | 5.70 | 0.000*** | 1 | 2.24 | 0.000*** | ||||||||||||
| 叶片习性 Leaf habit | 1 | 9.34 | 0.000*** | 1 | 6.46 | 0.000*** | 1 | 0.02 | 0.767 | ||||||||||||
| 系统发育关系 Taxonomy | |||||||||||||||||||||
| 科 Family | 17 | 11.50 | 0.000*** | 17 | 9.85 | 0.000*** | 17 | 9.81 | 0.000*** | ||||||||||||
| 属 Genus | 10 | 3.11 | 0.003** | 10 | 8.79 | 0.000*** | 10 | 6.30 | 0.000*** | ||||||||||||
| 种 Species | 18 | 6.29 | 0.000*** | 18 | 8.83 | 0.000*** | 18 | 11.73 | 0.000*** | ||||||||||||
| 残差 Residuals | 380 | 43.81 | 380 | 59.36 | 380 | 66.72 | |||||||||||||||
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