Crops ›› 2019, Vol. 35 ›› Issue (6): 156-161.doi: 10.16035/j.issn.1001-7283.2019.06.025

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Correlation and Path Analysis of the Main Agronomic Traits and Yield per Plant of Quinoa

Wang Yanqing1,Li Yongjun1,Li Chunhua1,Lu Wenjie1,Sun Daowang1,Yin Guifang1,Hong Bo2,Wang Lihua1   

  1. 1Biotechnology and Germplasm Resources Institute, Yunnan Academy of Agricultural Sciences/Yunnan Provincial Key Laboratory of Agricultural Biotechnology/Key Laboratory of Southwestern Crop Gene Resources and Germplasm Innovation, Ministry of Agriculture and Rural Affairs, Kunming 650205, Yunnan, China
    2Baoyun Station for Popularizing Agricultural Technique, Huize 654200, Yunnan, China
  • Received:2019-04-11 Revised:2019-07-29 Online:2019-12-15 Published:2019-12-11
  • Contact: Lihua Wang

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Abstract:

Using correlation, multiple linear regression and path analysis, seven main agronomic traits including growth period, plant height, stem diameter, main stem branching number, main inflorescence length, main inflorescence branching number and 1000-grain weight, were analyzed with yield per plant in 10 new quinoa (chenopodium quinoa) strains. The results showed that plant height, stem diameter and yield per plant were significantly positive and partial correlation. The seven agronomic traits could explain 51.60% variation of the yield per plant. The plant height (X2) and stem diameter (X3) of quinoa could explain 48.20% variation of the yield per plant (Y). The optimal regression equation was Y=-102.340+1.040X2+3.257X3. The yield per plant was directly affected more by the plant height and stem diameter of quinoa. Therefore, on the basis of suitable planting density, proper increase in stem diameter and plant height can help the selection of high yield quinoa in Kunming and surrounding areas.

Key words: Quinoa, Yield per plant, Agronomic trait, Correlation analysis, Path analysis

Table 1

Correlation analysis between yield per plant and agronomic traits in quinoa"

性状Trait 生育期(X1)
Growth
period		 株高(X2)
Plant
height		 茎粗(X3)
Stem
diameter		 主茎分枝数(X4)
Main stem
branching number		 主花序长(X5)
Main inflorescence length		 主花序分枝数(X6)
Main inflorescence
branching number		 千粒重(X7)
1000-grain
weight		 单株产量(Y)
Yield per
plant
生育期(X1) Growth period -0.169 -0.127 0.068 -0.176 -0.014 -0.343** -0.091
株高(X2) Plant height -0.145 -0.084 0.492** -0.318** -0.238* -0.100 -0.531**
茎粗(X3) Stem diameter -0.061 -0.503** 0.119 -0.089 -0.062 -0.079 -0.255**
主茎分枝数(X4)
Main stem branching number		 -0.116 -0.717** -0.422** -0.000 -0.161 -0.127 -0.083
主花序长(X5)
Main inflorescence length		 -0.051 -0.484** -0.310** 0.355** -0.065 -0.118 -0.137
主花序分枝数(X6)
Main inflorescence branching number		 -0.050 -0.531** -0.319** 0.486** -0.317** -0.033 -0.071
千粒重(X7) 1000-grain weight -0.344** -0.086 -0.034 0.010 -0.112 -0.012 -0.122
单株产量(Y) Yield per plant -0.018 -0.670** -0.493** 0.451** -0.250* -0.314** -0.059

Table 2

Analysis of variance of multivariate linear regression equation for yield per plant and 7 agronomic traits in quinoa"

模型Model 平方和SS df 均方MS F Sig.
1 回归Regression 48 401.791 7 6 914.542 12.466 0.000
残差Residual error 45 481.365 82 554.651
总计Total 93 883.156 89

Table 3

Summary of output results of multivariate linear regression models for yield per plant and 7 agronomic traits in quinoa"

模型
Model		 R R2 调整R2
AdjustR2		 标准估计的误差
Standard estimate error
1 0.718a 0.516 0.474 23.551

Table 4

Coefficient of multivariate linear regression analysis for yield per plant and 7 agronomic traits in quinoa"

模型 Model 非标准化系数Non-standardized coefficient 标准系数
Standard coefficient		 t Sig.
B 标准误差Standard error
1 常量Constant 0.126 153.087 - 0.001 0.999
生育期Growth period (X1) -1.172 1.409 -0.071 -0.832 0.408
株高Plant height (X2) 1.339 0.236 0.727 5.681 0.000
茎粗Stem diameter (X3) 3.373 1.413 0.217 2.388 0.019
主茎分枝数Main stem branching number (X4) -0.706 0.931 -0.086 -0.758 0.451
主花序长Main inflorescence length (X5) -0.644 0.515 -0.112 -1.250 0.215
主花序分枝数Main inflorescence branching number (X6) -0.739 1.147 -0.060 -0.644 0.521
千粒重1000-grain weight (X7) 9.262 8.313 0.093 1.114 0.268

Table 5

Summary of output results of multivariate linear stepwise regression models for yield per plant and 7 agronomic traits in quinoa"

模型
Model		 R R2 调整R2
AdjustR2		 标准估计的误差
Standard estimate error
1 0.670a 0.449 0.443 24.243
2 0.694b 0.482 0.470 23.643

Table 6

Multiple linear stepwise regression analysis coefficient for yield per plant and 7 agronomic traits in quinoa"

模型Model 非标准化系数Non-standardized coefficient 标准系数
Standard coefficient		 t Sig.
B 标准误差Standard error
1 常量Constant -76.082 17.923 - -4.245 0.000
株高Plant height (X2) 1.234 0.146 0.670 8.470 0.000
2 常量Constant -102.340 20.748 - -4.933 0.000
株高Plant height (X2) 1.040 0.164 0.565 6.328 0.000
茎粗Stem diameter (X3) 3.257 1.386 0.210 2.349 0.021

Table 7

Path analysis of yield per plant in quinoa"

性状
Trait		 相关系数
Correlation
coefficient		 直接通径系数
Direct path
coefficient		 间接通径系数Indirect path coefficient
X1→Y X2→Y X3→Y X4→Y X5→Y X6→Y X7→Y 合计Total
生育期(X1) Growth period -0.018 -0.071 - 0.105 -0.013 -0.010 0.006 -0.003 -0.032 0.053
株高(X2) Plant height 0.670 0.727 -0.010 - 0.109 -0.062 -0.054 -0.032 -0.008 -0.057
茎粗(X3) Stem diameter 0.493 0.217 0.004 0.366 - -0.037 -0.034 -0.019 -0.003 0.277
主茎分枝数(X4)
Main stem branching number		 0.451 -0.086 -0.008 0.521 0.092 - -0.040 -0.029 0.001 0.537
主花序长(X5)
Main inflorescence length		 0.250 -0.112 0.004 0.352 0.067 -0.031 - -0.019 -0.010 0.363
主花序分枝数(X6)
Main inflorescence branching number		 0.314 -0.060 -0.004 0.386 0.069 -0.042 -0.036 - 0.001 0.374
千粒重(X7) 1000-grain weight 0.059 0.093 0.024 -0.063 -0.007 -0.001 0.013 0.001 - -0.033
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