# Stability Parameters for Comparing Varieties

@article{Eberhart1966StabilityPF, title={Stability Parameters for Comparing Varieties}, author={Steve A. Eberhart and W. A. Russell}, journal={Crop Science}, year={1966}, volume={6}, pages={36-40} }

The model, Yij = μ1 + β1Ij + δij, defines stability parameters that may be used to describe the performance of a variety over a series of environments. Yij is the variety mean of the ith variety at the jth environment, µ1 is the ith variety mean over all environments, β1 is the regression coefficient that measures the response of the ith variety to varying environments, δij is the deviation from regression of the ith variety at the jth environment, and Ij is the environmental index.
The data…

## 3,844 Citations

### The characterization of performance of sugar beets by variety × environment interaction

- BiologyEuphytica
- 2004

It is demonstrated that the environmental interaction of sugar beet varieties reaches sizable levels and that significant differences exist between the variety-specific interactions.

### Genetic properties of four types of stability parameter

- Biology, MedicineTheoretical and Applied Genetics
- 2004

It appears that stability parameters of types 1 and 4 are heritable, and thus useful for selection, while those of types 2 and 3 are nonheritable and thus not useful.

### Regression methods for studying genotype-environment interactions

- Environmental ScienceHeredity
- 1972

This paper considers the two regression methods and their interrelationship from a different point of view and shows that there is a bias in the estimates of the coefficients of regression on the environmental mean when they are derived by the usual method.

### Weighted regression analysis for comparing

- Mathematics
- 1991

Summary. The normally used joint linear regression analysis (OLS) is not appropriate for comparing estimates of stability parameters of varieties when the error variances of site means are…

### Phenotypic Stability of Mixtures – Relations Between the Stability Parameters of a Mixture and Its Components

- Mathematics
- 1987

For each of the two stability parameters (‘regression coefficient’ and ‘sum of squared deviations from the regression’) of the common regression approach (= regression of the yield of population i in…

### Weighted regression analysis for comparing varietal adaptation

- Biology, MedicineTheoretical and Applied Genetics
- 2004

It is revealed that the weighted regression analysis yields more efficient estimates of regression coefficients (bi) than the ordinary regression analysis, and that the standard errors of bivalues were reduced by up to 43%.

### The stability of varietal performance over years

- BusinessHeredity
- 1974

Methods of estimating µg are discussed, both when f(e) is known and when only a limited set of effects is available, and it is shown that in the latter case it is necessary to make restrictive assumptions concerning g(e).

### Assessing and predicting the local performance of spring wheat varieties

- BiologyThe Journal of Agricultural Science
- 2002

The present study shows how the latest advances in statistical research can be applied to overcome some of the difficulties in assessing sensitivity of crop variety, and uses the conditional expectation of the yield given the environment as a latent explanatory variable.

### Extending Finlay-Wilkinson regression with environmental covariates

- Environmental SciencebioRxiv
- 2022

Finlay-Wilkinson regression is one of the most popular methods for analysing genotype-environment interaction in series of plant breeding and variety trials. The method involves a regression on the…

### The area under the function: an index for selecting desirable genotypes

- Biology, MedicineTheoretical and Applied Genetics
- 2004

This study proposes to combine the mean yield and regression coefficient into a unified desirability index (Di), defined as the area under the linear regression function divided by the difference between the two extreme environmental indexes.

## References

SHOWING 1-4 OF 4 REFERENCES

### The analysis of adaptation in a plant-breeding programme

- Biology
- 1963

Varieties from particular geographic regions of the world showed a similarity in type of adaptation, which provides a useful basis for plant introduction and breeding.

### Implications of Genotype‐Environmental Interactions in Applied Plant Breeding1

- Biology
- 1964

It is found that improvements in efficiency are unlikely so long as only "final" characters such as yield and quality are considered and that real progress will be possible only as the authors clarify the pathways by which final characters are reached.

### Intra‐varietal Diversification in Oat Breeding1

- Biology
- 1952

General agreement is found on several elements which together may be summed into the one word diversification that the production and distribution of new pure line varieties alone may not be a sufficient measure to provide the desired stability in oat production.