AMMI模型在玉米区域试验中的应用

运用AMMI模型对四川省玉米区试平丘B组 1998～ 1999两年试验数据进行了分析。结果表明 :①AMMI模型能具体、直观、灵敏地综合评价玉米大区区域试验参试品种的稳定性。②两年参试的玉米品种中绵 786× 12 11、品 95- 2具有优良的丰产性、稳定性和广泛的适应性     

On the use of diagnostic biplots in model screening for genotype by environment tables

Popular rank-2 and rank-3 models for two-way tables have geometrical properties which can be used as diagnostic keys in screening for an appropriate model. Row and column levels of two-way tables are represented by points in two or three dimensional space, whereupon collinearity and coplanarity of row and column points provide diagnostic keys for informal model choice. Coordinates are obtained from a factorization of the two-way table Y in the matrix product UV ^T. The rows of U then contain row-point coordinates and the rows of V column-point coordinates. Illustrations of applications of diagnostic biplots in the literature were restricted to data from chemistry and physics with little or no noise. In plant breeding, two-way tables containing substantial amounts of noise regularly arise in the form of genotype by environment tables. To investigate the usefulness of diagnostic biplots for model screening for genotype by environment tables, data tables were generated from a range of two-way models under the addition of various amounts of noise. Chances for correct diagnosis of the generating model depended on the type of model. Diagnostic biplots on their own do not seem to provide a sufficient means for model selection for genotype by environment tables, but in combination with other methods they certainly can provide extra insight into the structure of the data.     

TESTING THE SIGNIFICANCE OF GENOTYPE-ENVIRONMENT INTERACTION

The AMMI (additive main effects-multiplicative interaction) model is often used to investigate interactions in two-way tables, in particular for genotype-environment interactions. Both Gollob (1968) and Mandel (1969, 1971) proposed methods for testing the significance of such interactions. These methods are compared using simulated data. Our results support Mandel's conclusions, but his method is conservative and we recommend a test proposed by Johnson & Graybill (1972).     

利用AMMI模型分析甘肃陇东晚熟冬小麦新品种产量稳定性

运用AMMI模型对1997～1999年甘肃省陇东片冬小麦区域试验结果进行分析,结果表明:陇原961、西峰27号、庆农8号属于高产稳产型品种;陇鉴223属于低产稳产品种;8821-45-58、9038-1、陇鉴215属于低产不稳产型品种;陇原935高产但不稳产,具有较强的区域性。从AMMI互作效应值可看出:庆农8号、陇原961、陇鉴223三个品种具有广泛的适应性;西峰27号除在通渭县外具有较广泛的适应性;陇原935对除静宁县、通渭县两个相对低产区域外,在正宁、镇原、西峰、宁县等地具有较强的适应性;88(3)-8-5-1、8821-45-58对通渭县、静宁县具有特殊的适应性。