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a Wheat Program, International Maize and Wheat Improvement Center (CIMMYT) Apdo. Postal 6-641, 06600 Mexico DF, Mexico
b Biometrics and Statistics Unit, CIMMYT
* Corresponding author (r.trethowan{at}cgiar.org)
| ABSTRACT |
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Abbreviations: CIMMYT, International Maize and Wheat Improvement Center SAWYT, Semi Arid Wheat Yield Trial CIANO, Centro de Investigaciones Agricolas del Noroeste GEI, genotype x environment interaction COI, crossover interaction SHMM, shifted multiplicative model SREG, site regression model SED, squared Euclidean distances
| INTRODUCTION |
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CIMMYT's key drought evaluation site is located at the Centro de Investigaciones Agricolas del Noroeste (CIANO) in northwestern Mexico (27°20'N and elevation 38 m above sea level). Understanding the relationship between CIANO and key dry locations around the world is critical if we are to properly assess the effectiveness of this type of selection and evaluation. It is also important, particularly for CIMMYT's regional cooperators, to link the performance of different dry locations and regions from around the world with their own environments. Other authors have stated the importance of targeting germplasm to specific environments (Peterson and Pfeiffer, 1989) and increasing the efficiency of yield evaluation through the identification of key locations (Abdalla et al., 1996). Regions with similar dominant moisture stress patterns are the Southern Cone of South America, North AfricaWest AsiaSouthern Africa, and dry areas in South Asia (Rajaram et al., 1994; Calhoun et al., 1994).
Two types of multiplicative models have been used for studying genotype x environment interaction (GEI) and for developing methods for clustering sites or cultivars into groups without crossover interaction (COI) (Cornelius et al., 1992, 1993; Crossa et al., 1993, 1995, 1996; Crossa and Cornelius, 1993, 1997; Osman et al., 1997). These are the shifted multiplicative model (SHMM) in which
ij. = ß +
tk=1
k
ik
jk +
ij. (Seyedsadr and Cornelius, 1992) and the site regression model (SREG) in which
ij. = µj +
tk=1
k
ik
jk +
ij. (Cornelius et al., 1996). The variable
ij. is the mean of the ith cultivar (i = 1,2, ..., g) in the jth environment (j = 1,2, ..., e); ß is the shift parameter; µj is the site mean;
k (
1
2
...
t) are singular values that allow the imposition of orthonormality constraints on the singular vectors for cultivars,
ik = (
1k, ...
gk) and sites,
jk = (
1k ...,
ek), such that
i
2ik =
j
2jk = 1 and
i
ik
ik' =
j
jk
jk' = 0 for k
k';
ij. is the residual error.
If SHMM and SREG models with one multiplicative component (SHMM1 and SREG1) are adequate for fitting the data and primary effects of the sites,
j1, all of like sign, then SHMM1 and SREG1 predict non-COI. Thus all cultivars should have consistent patterns of response across all sites included in the analysis (Crossa and Cornelius, 1997). On the contrary, if
j1 are of different signs, then SHMM1 and SREG1 models predict COI, that is, cultivar ranking in the sites with negative
j1 are the reverse of the cultivar ranking in the sites with positive
j1.
This analysis has been used to determine environmental subgroups of large numbers of sites sown to the same set of cultivars (Fox et al., 1985, 1990). However, trials conducted over many years frequently contain unbalanced sets of cultivars as breeders constantly replace lines with newer materials. In this instance pattern analysis, a combination of classification and ordination analyses has been successfully employed (DeLacy and Lawrence, 1988; Peterson and Pfeiffer, 1989; Abdalla et al., 1996). These techniques have been used to examine the association of locations to CIMMYT spring bread wheat germplasm (DeLacy et al., 1994). However, all these cultivars were developed for irrigated conditions, and site associations were determined across both irrigated and low rainfall conditions. There has been no such attempt to classify global drought locations sown to cultivars specifically developed for performance under moisture limiting conditions.
The aim of this paper is to (i) examine the relevance of selection under terminal moisture stress at CIANO, Mexico compared to the primary drought affected target areas around the world and (ii) examine the association among international testing locations where the SAWYT nursery is planted.
| MATERIALS AND METHODS |
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Germplasm entering the SAWYT was developed in Mexico by shuttling segregating materials between two contrasting moisture regimes (Rajaram et al., 1994). At CIANO severe terminal moisture stress was generated during the winter crop cycle by gravity irrigating preformed beds 14 d prior to sowing. Segregating and advanced lines were sown in November on a receding moisture profile with no subsequent irrigation. Twenty-year average annual rainfall for the cropping period November to April is 48.2 mm. Materials were harvested in April and sown in May at Toluca in the central Mexican highlands (19°16'N and 2640 m above sea level) which receive approximately 800 mm of annual precipitation. Under this environment, materials are selected for responsiveness to moisture, nutrient inputs, and resistance to disease.
Analysis and Grouping of Locations
Multiplicative Models for Clustering Sites Without Crossover Interaction
In various site-clustering procedures developed on the basis of SHMM or SREG (Cornelius et al., 1992; Crossa et al., 1993; Crossa and Cornelius, 1997), the measure of distance (i.e., dissimilarity) between a pair of sites is the residual sum of squares (RSS) after fitting SHMM1 or SREG1, RSS(SHMM1) or RSS (SREG1), respectively. The dichotomous splitting procedure used on the dendrogram obtained from SHMM cluster analysis facilitates finding groups with negligible COI within clusters. Computations are facilitated because the site regression model with one multiplicative term can be reparameterized as a shifted multiplicative model with one multiplicative component. In this study, the SHMM clustering procedure for grouping sites without COI (Crossa et al., 1993) was applied to each of the six SAWYTs, and clusters of sites with negligible COI were found.
Pattern Analysis
Pattern analysis is the clustering and ordination of sites (or/and cultivars) in the two-way data table of cultivars x sites. In this study, the data used were the three-way table of cultivar x site x year. It was assumed that cultivars in any given year were a representative sample of the germplasm under evaluation. Sites (individual location/year occurrences) were judged on the basis of their ability to discriminate among cultivars. Only sites that occurred in two or more SAWYTs were included in the overall pattern analysis. Since some sites were sown to more than two SAWYTs in different years, their comparisons had different levels of precision. The clustering strategy used is that recommended by (DeLacy and Cooper, 1990) and used by Abdalla et al. (1996). Dissimilarities between sites in each year and averaged across years were measured by squared Euclidean distances (SED). Since different years had different numbers of cultivars, the averages were weighted by the number of cultivars in each year. The incremental sum of squares criterion and the agglomerative hierarchical strategy procedure with SED as the dissimilarity measure were used for classification.
| RESULTS AND DISCUSSION |
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The West Asian Region
Four Iranian sites returned yield data for the 2nd SAWYT, making it the best represented country in the West Asian region. Unfortunately, the 2nd SAWYT was not sown in Mexico, so comparisons between these sites and Mexican locations cannot be made. Iranian locations cluster least with other sites in the West Asian region and show very little association with other global locations and regions (Table 2). The two locations in Pakistan giving the closest, although still weak association with Iran, Sariab, and Barani are located in the dry, northern areas. If Iran is eliminated, then Bangladesh becomes the best predictor of West Asian locations (4/6), clustering with Jordan, Syria, Afghanistan, and Saudi Arabia followed by the combined South Asian region. Those sites clustering with Bangladesh are rainfed locations, with the exception of Jordan and Saudi Arabia, where the trial was sown under limited irrigation. The limited irrigation regimes generated in Bangladesh, therefore, appear to mimic those in the terminal moisture stress environments of West Asia. Lack of reliable rainfall records from these West Asian locations in the years the trials were sown make it difficult to draw firm conclusions. With removal of the Iranian sites, the next best predictors of West Asia are West Asian locations themselves (4/18) and North African sites (5/21), all of which have, based on long-term rainfall averages, similar Mediterranean type stress patterns. Mexican and South American locations clustered poorly with West Asia, ranging from 1/15 in Brazil to 1/8 in Mexico. Afghanistan and Saudi Arabian locations within the West Asian region clustered best across global locations (Table 2).
The North African Region
Clusters of North African sites with global sites and regions indicated that Nepal gave the best association, followed by Spain and the South American sites in Argentina, Bolivia, and Brazil (Table 2). Mexican sites did not predict this region well (1/16). The Sudanese site expressed little if any association with any of the SAWYT sites. This may be due severe heat stress late in the growing cycle, which is often experienced in Sudan and other North African locations. The best associations within the region are between Algeria and Argentina and Algeria and Bolivia (Table 2). These sites experience early season, preanthesis drought stress. Within the North African region Tunisia clustered best with other global sites and regions.
The Southern African Region
This region is comprised of the two countries South Africa and Zimbabwe. The association of sites in this region may be inflated because only six locations were used. Zimbabwe showed a different pattern of association compared with the South African sites (Table 2). This reflects the different latitude of the Zimbabwean site (17°S) compared with the South African locations (2833°S). The grouping of high latitude locations in Kazakstan and Canada with South Africa reflects similar stress patterns. The grouping of Pakistan, India and Argentina suggested that stress patterns were similar among these regions. It is expected that West Asian and North African sites, which experience Mediterranean type drought stress, would group with South Africa. However, only one out of 22 possible groupings occurred between southern Africa and regions with similar stress patterns. However, the strong association of sites in South Africa with 11 different locations (31/90) from around the world suggests that South Africa could be utilized in global wheat breeding efforts.
The Eastern African Region
In this region, four locations returned data from one year only and a fifth, Tanzania, reported data from two years. Stress patterns in Eastern Africa tend to be similar to those in West Asia and North Africa (4/5), indicating the presence of terminal or late season drought stress. Tanzania was the only eastern African location to cluster with CIANO (1/6, not shown in Table 2). South Asian locations where farmers plant on residual moisture following the monsoon or use limited irrigation and Southern Cone locations, typified by preanthesis stress did not associate well with eastern Africa. Ethiopia (0/12) and Malawi (1/12) did not associate well with other global locations and regions. Rainfall records are not available for the Eastern African sites in the years the trials were sown making it difficult to assess whether the growing conditions were different from the long-term average. Among the eastern African locations, Tanzania was most closely associated with other global locations followed by Burundi and Kenya (Table 2).
The Southern Cone of South America
This region is represented by locations in Argentina and Brazil. Their association with high latitude sites in Kazakstan and Canada would indicate similar patterns of adaptation (Table 2). The grouping of Pakistan, Bolivia, Algeria, and Spain with Argentina indicates that patterns of adaptation in Argentina are similar to many parts of the world, where sites experience preanthesis drought stress. Limited rainfall records were available for some sites in Argentina during the years covering this study. While these records indicate preanthesis drought stress predominated, significant rainfall variation was observed at many sites; this is reflected in the relatively weak grouping of locations in Argentina with each other (8/26). Other South Asian sites Nepal, India, and Bangladesh most of which are sown on residual moisture or under limited irrigation, did not associate with Argentina (1/29). Mexico, where development of the genotypes and most of the yield trials were sown using a single preseeding irrigation showed very little association with this region (2/30). The clustering of Argentinean locations with many different global sites and regions (63/276) highlights the strategic value of these locations in differentiating germplasm in a global breeding program.
Association of Locations Repeated in More than One Year
Pattern analysis was used to examine the association among sites repeated in more than one year (Fig. 1). At the first fusion level two groupings resulted. Group 1 contained three locations from Argentina and one from Santa Catalina in Ecuador. South Africa, Egypt, and one location in Pakistan made up the remaining sites. Group 2 contained three South Asian locations, Bangladesh, Nepal, and Pakistan. In addition, Syria, Bolivia, and CIANO (Mexico) also clustered in this group.
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Association of Global Locations with CIANO
Locations grouping with CIANO on the basis of yield at the third fusion level of the SHMM cluster analysis were determined. Many of these locations were sown only once to the SAWYT and are indicated in Table 3. Sites in Sudan, Brazil, Qatar, India, Bangladesh, Portugal, Ukraine, Mexico (Atizapan), and Tanzania reported SAWYT data only once and clustered with CIANO. Other sites in Mexico (Oaxaca), Pakistan (NARC), Bangladesh (Dinajpur), and Argentina appeared twice, clustering once with CIANO, while two locations in Nepal and Pakistan (Dera Ismail Khan) occurred four times, clustering only once with the CIANO site.
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At CIANO, late season severe terminal drought stress is generated by the application of a single preseeding irrigation. This screening method is designed to mimic the terminal moisture stress experienced in the South Asian region following the monsoon. In these regions farmers plant after the monsoonal rains on a receding moisture profile: very little if any rain falls after sowing. The slightly higher latitude and altitude of most Pakistani sites (between 4 and 7° farther north and between 79 and 1562 m higher) may explain the reduced level of association between these areas and CIANO. The site most similar in latitude and altitude, Nepal, clustered only 25% of the time with CIANO, however, pattern analysis based on repeated sites outlined in the previous section does confirm a relationship between CIANO and Nepal.
Not surprisingly, only two other Mexican locations clustered with CIANO out of a total of seven possible comparisons. Apart from CIANO, all these sites are located at 2249 to 2640 m above sea level, compared with CIANO's altitude of 38 m, and are at least 8° latitude closer to the equator. Two higher latitude sites, Portugal (38°N) and Ukraine (46°N) also clustered with CIANO.
The low level of grouping between CIANO and Southern Cone locations in Brazil and Argentina (Table 2) can be explained by different prevailing moisture conditions. These sites experienced preanthesis drought stress throughout the duration of the study. Therefore it is not surprising that SAWYT genotypes, developed under moderate to severe terminal moisture stress, differentiated differently for yield in the Southern Cone. This is borne out by the much stronger association between CIANO and India and Bangladesh (Table 2). Sites in India and Bangladesh under limited irrigation generally apply all the available water prior to anthesis. However, the stress generated at CIANO did not associate well with West Asian and North African sites. A possible explanation is that many of the sites in these regions are generally cooler than CIANO and genotype ranking may be influenced by the longer growing season.
Association between the Same Location Sown to the Same Genotypes in Different Years
A small number of genotypes, ranging from 5 to 10, were in common between years in comparisons between specific SAWYT trials (Table 4). Dendrograms (not shown) developed from SHMM cluster analysis indicated that CIANO, CIMMYT's primary drought testing location, clustered with itself on 5 of 7 occasions at the third fusion level. Sites in Nepal (3/6) and Canada (3/4) also indicated a relatively high degree of association between years. However, Bolivian, Argentinean, and Pakistani locations did not cluster to a significant degree with themselves in the paired comparisons among different SAWYTs.
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| CONCLUSIONS |
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The gravity-fed residual moisture stress generated at CIANO may need to be modified to improve the relevance of materials selected in Mexico to locations in the Southern Cone, West Asia, and Africa. Generation of a combination of both terminal and preanthesis stress scenarios may increase the frequency of elite materials adapted to these regions. The secondary aim of our study was to examine relationships among international testing locations with a view to identifying key locations for drought screening. Selection using a combination of environments such as CIANO, South Africa, and Argentina, all of which correlated well across many different environments, may provide the platform for greater rates of progress in breeding for dry environments globally.
Received for publication September 7, 2000.
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