### Identification of the most stable genotypes in multi-environment trials by using nonparametric methods

#### Abstract

Genotype performances in multi-environment trials are usually analyzed by different univariate and multivariate parametric models for assessing yield stability and genotype × environment (GE) interaction investigation. One of the alternative strategies can be nonparametric statistics approach which is particularly useful in situations where parametric statistics fail. For an estimation of yield stability of genotypes in various environments two new nonparametric stability statistics (*NS*_{i}^{(1)}and *NS*_{i}^{(2)}) have been used which are based upon the ranks of the genotypes in each environment. These statistics use median as a nonparametric central tendency, and two nonparametric index of statistical dispersion as interquartile range and inter-decile range. The *NS*_{i}^{(1) }and *NS*_{i}^{(2) }nonparametric stability statistics which presented here is similar to the nature and concept of environmental coefficient of variation. Results indicated that the most stable genotype based on the lowest values of these two nonparametric statistics, had the highest mean yield among studied genotypes. Plotting of mean yield versus *NS*_{i}^{(1) }and *NS*_{i}^{(2) }verified the above results and indicated that the highest mean yielding genotype is identified as the most stable genotype. These nonparametric statistics would be useful for simultaneous selection for mean yield and stability. They can be very helpful in selection for yield stability and determination of favorable genotypes in plant breeding programs.

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Arslanoglu F., Aytac S. 2010. Determination of stability and genotype × environment interactions of some agronomic properties in the different soybean (Glycine max. (L) Merrill) cultivars. Bulgarian Journal of Agricultural Science, 16: 181–195.

Becker, H.C., Leon J. 1988. Stability analysis in plant breeding. Plant Breeding, 101:1–23; DOI: 10.1111/j.1439-0523.1988.tb00261.x

Becker, H.C. 1981. Correlations among some statistical measures of phenotypic stability. Euphytica, 30: 835–840; DOI: 10.1007/BF00038812

Dehghani H., 2008. Estimating yield stability by nonparametric stability analysis in maize (Zea mays L.). Plant Breeding and Seed Science, 58: 61–77.

Ebadi-Segherloo A., Sabaghpour S.H., Dehghani H., Kamrani M. 2008. Non-parametric measures of phenotypic stability in chickpea genotypes (Cicer arietinum L.). Euphytica, 2: 221-229; DOI: 10.1007/s10681-007-9552-x

Eberhart S.A. Russell W.A. 1966. Stability parameters for comparing varieties. Crop Science, 6: 36–40; DOI: 10.2135/cropsci1966.0011183X000600010011x

Finlay K.W. Wilkinson G.N. 1963. The analysis of adaptation in a plant breeding program. Australian Journal of Agriculture Research, 14: 742–754; DOI: 10.1071/AR9630742

Flores F., Moreno M.T., Cubero, J.I. 1998. A comparison of univariate and multivariate methods to analyze G × E interaction. Field Crops Research, 56: 271–286; DOI: 10.1016/S0378-4290(97)00095- 6

Fox P.N., Skovmand B., Thompson B.K., Braun H.J., Cormier R. 1990. Yield and adaptation of hexaploid spring triticale. Euphytica, 47: 57–64; DOI: 10.1007/BF00040364

Francis T.R. Kannenberg L.W. 1978. Yield stability studies in short-season maize: I. A descriptive method for grouping genotypes. Canadian Journal of Plant Science, 58: 1029–1034; DOI: 10.4141/cjps78-157

Gauch H.G. 1992. Statistical Analysis of Regional Yield Trials: AMMI Analysis of Factorial Designs. Elsevier, Netherlands, Amsterdam.

Gauch H.G. 2006. Statistical analysis of yield trials by AMMI and GGE. Crop Science, 46: 1488–1500; DOI: 10.2135/cropsci2005.07-0193

Gauch, H.G., Piepho H.P., Annicchiaricoc P. 2008. Statistical analysis of yield trials by AMMI and GGE. Further considerations. Crop Science, 48: 866–889; DOI: 10.2135/cropsci2007.09.0513

Hernández C.M., Crossa J., Castillo A. 1993. The area under the function: an index for selecting desirable genotypes. Theoretical Applied Genetics, 87: 409– 415; DOI: 10.1007/BF00215085

Huehn M. 1979. Beitrage zur Erfassung der phänotypischen Stabilität. EDV Medizin und Biologie, 10: 112–117.

Huehn M. 1990a. Non-parametric measures of phenotypic stability: Part 1. Theory. Euphytica, 47: 189–194.

Huehn M. 1990b. Non-parametric measures of phenotypic stability: Part 2. Application. Euphytica, 47: 195–201.

Huehn M. 1996. Non-parametric analysis of genotype × environment interactions by ranks. p. 213–228. In M.S. Kang and H.G. Gauch (ed.) Genotype by environment interaction. CRC Press, Boca Raton, F; .DOI: 10.1201/9781420049374.ch9

Kang M.S., Pham H.N. 1991. Simultaneous selection for high yielding and stable crop genotypes. Agronomy Journal, 83: 161–165; DOI: 10.2134/agronj1991.00021962008300010037x

Kang M.S. 1988. A rank–sum method for selecting high-yielding, stable corn genotypes. Cereal Research Communications, 16: 113–115.

Karimizadeh R., Mohammadi M. 2010. AMMI adjustment for rainfed lentil yield trials in Iran. Bulgarian Journal of Agricultural Science, 16: 66– 73.

Karimizadeh R., Mohammadi M., Sabaghnia N., Shefazadeh M.K., Pouralhossini J. 2012. Univariate stability analysis methods for determining genotype × environment interaction of durum wheat grain yield. African Journal of Biotechnology, 11: 2563– 2573.

Ketata H., Yan S.K., Nachit M. 1989. Relative consistency performance across environments. Int. Symposium on Physiology and Breeding of Winter Cereals for stressed Mediterranean Environments. Montpellier, July 3–6, 1989.

Lin, C.S. Binns M.R. 1991. Genetic properties of four types of stability parameters. Theoretical Applied Genetics, 82: 505–509; DOI: 10.1007/BF00588606

Lin, C.S., Binns M.R., Lefkovitch L.P. 1986. Stability analysis: Where do we stand? Crop Science, 26: 894–900; DOI: 10.2135/cropsci1986.0011183X002600050012x

Sabaghnia N., Dehghani H., Sabaghpour S.H. 2006. Nonparametric methods for interpreting genotype · environment interaction of lentil genotypes. Crop Science, 46: 1100–1106 ; DOI : 10.2135/cropsci2005.06-0122

Sabaghnia N., Dehghani H., Sabaghpour S.H. 2008a. Graphic analysis of genotype by environment interaction for lentil yield in Iran. Agronomy Journal, 100: 760–764; DOI: 10.2134/agronj2006.0282

Sabaghnia N., Karimizadeh R., Mohammadi M. 2012a. Genotype by environment interaction and stability analysis for grain yield of some lentil genotypes. Žemdirbystė=Agriculture 99: 305–312.

Sabaghnia N., Karimizadeh R., Mohammadi M. 2012b. The use of corrected and uncorrected nonparametric stability measurements in durum wheat multienvironmental trials. Spanish Journal of Agricultural Research 10: 722–730; DOI: 10.5424/sjar/2012103-384-11

Sabaghnia N., Sabaghpour S.H., Dehghani H. 2008b. The use of an AMMI model and its parameters to analyse yield stability in multi-environment trials. Journal of Agricultural Science, 146: 571–581; DOI: 10.1017/S0021859608007831

Shukla G.K. 1972. Some aspects of partitioning genotype-environmental components of variability. Heredity 28:237–245; DOI: 10.1038/hdy.1972.87

Stoilova A. Dechev D. 2002. Genotype environment interaction and phenotypic stability of economic traits in cotton lines. Bulgarian Journal of Agricultural Science, 8: 485–491.

Thennarasu K. 1995. On certain non-parametric procedures for studying genotype–environment interactions and yield stability. Ph.D. thesis. P.J. School, IARI, New Delhi, India.

Yan W., Kang M.S. 2003. GGE-biplot analysis:A graphical tool for breeders, geneticists, and agronomists. CRC Press, Boca Raton, FL, USA.

Yates F. Cochran W.G. 1938. The analysis of groups of experiments. Journal of Agricultural Science, 28: 556–580; DOI: 10.1017/S0021859600050978

Yue, G.L., Roozeboom K.L., Schapaugh W.T., Liang G.H. 1997. Evaluation of soybean cultivars using parametric and nonparametric stability estimates. Plant Breeding, 116: 271–275; DOI: 10.1111/j.1439-0523.1997.tb00995.x

DOI: http://dx.doi.org/10.14720/aas.2015.105.1.11

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