Determination of heterosis, general combining ability (GCA) and specific combining ability in tuber dry matter, reducing sugars and agronomic characteristics in TPS families.
The study was conducted in 3 environments, La Molina-PERU to 240 masl. during autumn-winter and spring, and in Huancayo-PERU 3180 masl., during summer. The experimental material consisted of 24 families half brother in the form of tubers derived from TPS, obtained crossing between 8 female and 3 male parents. Design used was randomized complete block with three repetitions. The experimental unit was 30 plants in two rows at a distance of 30cm between plants and 90 cm between rows. Variables evaluated were Yield, Tubers number, Dry matter and content and reducing sugars. The analysis was conducted line x tester. The control variety was Desiree.
data(heterosis)
A data.frame with 216 observations on the following 11 variables.
@details
Place 1 = La Molina, 2 = Huancayo
Replication Replication
Treatment Treatment
Factor a factor with levels Control, progenie, progenitor, and testigo
Female a factor with levels Achirana, LT-8, MF-I, MF-II, Serrana, TPS-2, TPS-25, and TPS-7
Male a factor with levels TPS-13, TPS-67, and TS-15
v1 Yield (Kg/plant)
v2 Reducing sugars (scale):1 low and 5=High
v3 Tuber dry matter (percentage)
v4 Tuber number/plant
v5 Average tuber weight (g)
International Potato Center(CIP). Lima-Peru. Data Kindly provided by of Rolando Cabello.
Thesis "Heterosis, habilidad combinatoria general y especifica para materia seca, azucares reductores y caracteres agronomicos en familias de tuberculos provenientes de semilla sexual de papa. Magister Scientiae Rodolfo Valdivia Lorente. Universidad Nacional Agraria La molina-Lima Peru, Escuela de Post Grado, Mejoramiento genetico de plantas, 2004". Poster: Congreso de la Sociedad Peruana de Genetica - Peru, 2008.
#> 'data.frame': 324 obs. of 11 variables: #> $ Place : num 1 1 1 1 1 1 1 1 1 1 ... #> $ Replication: num 1 1 1 1 1 1 1 1 1 1 ... #> $ Treatment : num 1 2 3 4 5 6 7 8 9 10 ... #> $ Factor : Factor w/ 3 levels "Control","progenie",..: 2 2 2 2 2 2 2 2 2 2 ... #> $ Female : Factor w/ 8 levels "Achirana","LT-8",..: 2 2 2 6 6 6 7 7 7 8 ... #> $ Male : Factor w/ 3 levels "TPS-13","TPS-67",..: 3 1 2 3 1 2 3 1 2 3 ... #> $ v1 : num 0.948 1.052 1.05 1.058 1.123 ... #> $ v2 : num 1.65 2.2 1.88 2 2.45 2.63 2.75 3 2.51 1.93 ... #> $ v3 : num 17.2 17.8 15.6 16 16.5 ... #> $ v4 : num 9.93 12.45 9.3 12.77 14.13 ... #> $ v5 : num 102.6 107.4 120.5 83.8 90.4 ...site1<-subset(heterosis,heterosis[,1]==1) site2<-subset(heterosis,heterosis[,1]==2) site3<-subset(heterosis,heterosis[,1]==3) model1<-with(site1,lineXtester(Replication, Female, Male, v1))#> #> ANALYSIS LINE x TESTER: v1 #> #> ANOVA with parents and crosses #> ============================== #> Df Sum Sq Mean Sq F value Pr(>F) #> Replications 2 0.1022761 0.05113806 4.215 0.0187 #> Treatments 35 3.1298374 0.08942393 7.371 0.0000 #> Parents 11 0.8753481 0.07957710 6.559 0.0000 #> Parents vs. Crosses 1 1.2772782 1.27727824 105.285 0.0000 #> Crosses 23 0.9772111 0.04248744 3.502 0.0000 #> Error 70 0.8492172 0.01213167 #> Total 107 4.0813308 #> #> ANOVA for line X tester analysis #> ================================ #> Df Sum Sq Mean Sq F value Pr(>F) #> Lines 7 0.3005624 0.04293749 1.162 0.3824 #> Testers 2 0.1594550 0.07972751 2.158 0.1524 #> Lines X Testers 14 0.5171936 0.03694240 3.045 0.0010 #> Error 70 0.8492172 0.01213167 #> #> ANOVA for line X tester analysis including parents #> ================================================== #> Df Sum Sq Mean Sq F value Pr(>F) #> Replications 2 0.1022761 0.05113806 4.215 0.0187 #> Treatments 35 3.1298374 0.08942393 7.371 0.0000 #> Parents 11 0.8753481 0.07957710 6.559 0.0000 #> Parents vs. Crosses 1 1.2772782 1.27727824 105.285 0.0000 #> Crosses 23 0.9772111 0.04248744 3.502 0.0000 #> Lines 7 0.3005624 0.04293749 1.162 0.3824 #> Testers 2 0.1594550 0.07972751 2.158 0.1524 #> Lines X Testers 14 0.5171936 0.03694240 3.045 0.0010 #> Error 70 0.8492172 0.01213167 #> Total 107 4.0813308 #> #> GCA Effects: #> =========== #> Lines Effects: #> Achirana LT-8 MF-I MF-II Serrana TPS-2 TPS-25 TPS-7 #> -0.079 0.069 0.046 0.021 0.075 0.016 -0.112 -0.037 #> #> Testers Effects: #> TPS-13 TPS-67 TS-15 #> -0.003 -0.056 0.059 #> #> SCA Effects: #> =========== #> Testers #> Lines TPS-13 TPS-67 TS-15 #> Achirana -0.047 0.075 -0.028 #> LT-8 -0.026 0.211 -0.185 #> MF-I 0.071 -0.092 0.021 #> MF-II 0.010 -0.015 0.005 #> Serrana -0.090 -0.035 0.125 #> TPS-2 0.071 0.000 -0.071 #> TPS-25 -0.019 -0.002 0.021 #> TPS-7 0.030 -0.143 0.113 #> #> Standard Errors for Combining Ability Effects: #> ============================================= #> S.E. (gca for line) : 0.03671463 #> S.E. (gca for tester) : 0.02248303 #> S.E. (sca effect) : 0.0635916 #> S.E. (gi - gj)line : 0.05192232 #> S.E. (gi - gj)tester : 0.0317958 #> S.E. (sij - skl)tester: 0.0899321 #> #> Genetic Components: #> ================== #> Cov H.S. (line) : 0.000666121 #> Cov H.S. (tester) : 0.001782713 #> Cov H.S. (average): 0.0001276635 #> Cov F.S. (average): 0.01369027 #> F = 0, Adittive genetic variance: 0.000510654 #> F = 1, Adittive genetic variance: 0.000255327 #> F = 0, Variance due to Dominance: 0.01654049 #> F = 1, Variance due to Dominance: 0.008270243 #> #> Proportional contribution of lines, testers #> and their interactions to total variance #> =========================================== #> Contributions of lines : 30.75717 #> Contributions of testers: 16.31736 #> Contributions of lxt : 52.92548DFe <- df.residual(model1) CMe <- deviance(model1)/DFe test1 <- with(site1,HSD.test(v1, Factor,DFe,CMe)) test2 <- with(site1,HSD.test(v1, Treatment,DFe,CMe)) model22<-with(site2,lineXtester(Replication, Female, Male, v3))#> #> ANALYSIS LINE x TESTER: v3 #> #> ANOVA with parents and crosses #> ============================== #> Df Sum Sq Mean Sq F value Pr(>F) #> Replications 2 7.2183130 3.6091565 3.519 0.0350 #> Treatments 35 179.0269741 5.1150564 4.987 0.0000 #> Parents 11 114.1375417 10.3761402 10.117 0.0000 #> Parents vs. Crosses 1 0.6154671 0.6154671 0.600 0.4412 #> Crosses 23 64.2739653 2.7945202 2.725 0.0007 #> Error 70 71.7964204 1.0256631 #> Total 107 258.0417074 #> #> ANOVA for line X tester analysis #> ================================ #> Df Sum Sq Mean Sq F value Pr(>F) #> Lines 7 14.20819 2.029741 1.085 0.4224 #> Testers 2 23.88387 11.941935 6.386 0.0107 #> Lines X Testers 14 26.18191 1.870136 1.823 0.0520 #> Error 70 71.79642 1.025663 #> #> ANOVA for line X tester analysis including parents #> ================================================== #> Df Sum Sq Mean Sq F value Pr(>F) #> Replications 2 7.2183130 3.6091565 3.519 0.0350 #> Treatments 35 179.0269741 5.1150564 4.987 0.0000 #> Parents 11 114.1375417 10.3761402 10.117 0.0000 #> Parents vs. Crosses 1 0.6154671 0.6154671 0.600 0.4412 #> Crosses 23 64.2739653 2.7945202 2.725 0.0007 #> Lines 7 14.2081875 2.0297411 1.085 0.4224 #> Testers 2 23.8838694 11.9419347 6.386 0.0107 #> Lines X Testers 14 26.1819083 1.8701363 1.823 0.0520 #> Error 70 71.7964204 1.0256631 #> Total 107 258.0417074 #> #> GCA Effects: #> =========== #> Lines Effects: #> Achirana LT-8 MF-I MF-II Serrana TPS-2 TPS-25 TPS-7 #> 0.752 0.050 -0.537 0.535 -0.082 0.074 -0.162 -0.630 #> #> Testers Effects: #> TPS-13 TPS-67 TS-15 #> 0.599 0.178 -0.777 #> #> SCA Effects: #> =========== #> Testers #> Lines TPS-13 TPS-67 TS-15 #> Achirana 0.390 -0.179 -0.210 #> LT-8 0.412 -1.857 1.445 #> MF-I 0.398 -0.127 -0.272 #> MF-II 0.440 0.041 -0.480 #> Serrana -0.403 0.589 -0.186 #> TPS-2 -0.439 0.239 0.201 #> TPS-25 -0.379 0.669 -0.289 #> TPS-7 -0.418 0.626 -0.208 #> #> Standard Errors for Combining Ability Effects: #> ============================================= #> S.E. (gca for line) : 0.3375834 #> S.E. (gca for tester) : 0.2067268 #> S.E. (sca effect) : 0.5847117 #> S.E. (gi - gj)line : 0.4774151 #> S.E. (gi - gj)tester : 0.2923558 #> S.E. (sij - skl)tester: 0.8269071 #> #> Genetic Components: #> ================== #> Cov H.S. (line) : 0.01773386 #> Cov H.S. (tester) : 0.4196583 #> Cov H.S. (average): 0.02128211 #> Cov F.S. (average): 1.418314 #> F = 0, Adittive genetic variance: 0.08512845 #> F = 1, Adittive genetic variance: 0.04256422 #> F = 0, Variance due to Dominance: 0.5629821 #> F = 1, Variance due to Dominance: 0.2814911 #> #> Proportional contribution of lines, testers #> and their interactions to total variance #> =========================================== #> Contributions of lines : 22.10567 #> Contributions of testers: 37.15948 #> Contributions of lxt : 40.73486#> #> ANALYSIS LINE x TESTER: v4 #> #> ANOVA with parents and crosses #> ============================== #> Df Sum Sq Mean Sq F value Pr(>F) #> Replications 2 0.0372615 0.018630750 4.463 0.0150 #> Treatments 35 0.8478920 0.024225486 5.803 0.0000 #> Parents 11 0.3377114 0.030701038 7.354 0.0000 #> Parents vs. Crosses 1 0.2527654 0.252765375 60.550 0.0000 #> Crosses 23 0.2574152 0.011191966 2.681 0.0008 #> Error 70 0.2922125 0.004174464 #> Total 107 1.1773660 #> #> ANOVA for line X tester analysis #> ================================ #> Df Sum Sq Mean Sq F value Pr(>F) #> Lines 7 0.13861943 0.019802776 4.510 0.0080 #> Testers 2 0.05732808 0.028664042 6.529 0.0099 #> Lines X Testers 14 0.06146769 0.004390550 1.052 0.4150 #> Error 70 0.29221250 0.004174464 #> #> ANOVA for line X tester analysis including parents #> ================================================== #> Df Sum Sq Mean Sq F value Pr(>F) #> Replications 2 0.03726150 0.018630750 4.463 0.0150 #> Treatments 35 0.84789200 0.024225486 5.803 0.0000 #> Parents 11 0.33771142 0.030701038 7.354 0.0000 #> Parents vs. Crosses 1 0.25276537 0.252765375 60.550 0.0000 #> Crosses 23 0.25741521 0.011191966 2.681 0.0008 #> Lines 7 0.13861943 0.019802776 4.510 0.0080 #> Testers 2 0.05732808 0.028664042 6.529 0.0099 #> Lines X Testers 14 0.06146769 0.004390550 1.052 0.4150 #> Error 70 0.29221250 0.004174464 #> Total 107 1.17736600 #> #> GCA Effects: #> =========== #> Lines Effects: #> Achirana LT-8 MF-I MF-II Serrana TPS-2 TPS-25 TPS-7 #> 0.040 -0.058 -0.027 -0.025 0.083 -0.004 -0.038 0.028 #> #> Testers Effects: #> TPS-13 TPS-67 TS-15 #> -0.004 0.036 -0.032 #> #> SCA Effects: #> =========== #> Testers #> Lines TPS-13 TPS-67 TS-15 #> Achirana -0.027 0.009 0.018 #> LT-8 -0.010 -0.015 0.025 #> MF-I 0.030 0.008 -0.037 #> MF-II -0.036 0.031 0.005 #> Serrana 0.031 -0.037 0.006 #> TPS-2 -0.016 -0.041 0.057 #> TPS-25 -0.011 0.026 -0.016 #> TPS-7 0.039 0.019 -0.058 #> #> Standard Errors for Combining Ability Effects: #> ============================================= #> S.E. (gca for line) : 0.0215367 #> S.E. (gca for tester) : 0.01318848 #> S.E. (sca effect) : 0.03730266 #> S.E. (gi - gj)line : 0.03045749 #> S.E. (gi - gj)tester : 0.01865133 #> S.E. (sij - skl)tester: 0.05275392 #> #> Genetic Components: #> ================== #> Cov H.S. (line) : 0.00171247 #> Cov H.S. (tester) : 0.001011396 #> Cov H.S. (average): 0.0001565892 #> Cov F.S. (average): 0.004481553 #> F = 0, Adittive genetic variance: 0.0006263566 #> F = 1, Adittive genetic variance: 0.0003131783 #> F = 0, Variance due to Dominance: 0.0001440569 #> F = 1, Variance due to Dominance: 7.202844e-05 #> #> Proportional contribution of lines, testers #> and their interactions to total variance #> =========================================== #> Contributions of lines : 53.85052 #> Contributions of testers: 22.27067 #> Contributions of lxt : 23.87881