See discussions, stats, and author profiles for this publication at: https://www.researchgate.net/publication/343814486 Thesis Proposal On: GENOTYPE BY ENVIRONMENT INTERACTIONS AND STABILITY ANALYSIS IN COWPEA [Vigna unguiculata (L.) Walp] GENOTYPES FOR YIELD IN ETHIOPIA MSc Research Proposal Tariku... Experiment Findings · January 2016 CITATIONS READS 0 2,874 3 authors, including: Wassu Mohammed Tariku Simion Dojamo Haramaya University Southern Agricultural Research Institute, Arba Minch Agricultural Research Center Et… 104 PUBLICATIONS 731 CITATIONS 40 PUBLICATIONS 101 CITATIONS SEE PROFILE All content following this page was uploaded by Tariku Simion Dojamo on 22 August 2020. The user has requested enhancement of the downloaded file. SEE PROFILE HARAMAYA UNIVERSITY POST GRADUATE PROGRAM DIRECTORATE GENOTYPE BY ENVIRONMENT INTERACTIONS AND STABILITY ANALYSIS IN COWPEA [Vigna unguiculata (L.) Walp] GENOTYPES FOR YIELD IN ETHIOPIA MSc Research Proposal Tariku Simion Dojamo College: Agriculture and Environment Sciences Department: Plant Sciences Program: Plant Breeding Major Advisor: Wassu Mohammed (PhD), Haramaya University Co-Advisor: Birhanu Amsalu (PhD), Melkasa Agriculture Research Center, EIAR Research Center, EIAR JUNE 2016 Haramaya University, Haramaya ABBREVIATIONS AND ACRONYMS AMMI Additive Main Effects and Multiplicative Interaction ANOVA Analysis of Variance ASV AMMI Stability Value CSA Central Statistical Agency EIAR Ethiopian Agricultural Research Institute FAO Food and Agriculture Organization GEI Genotype by Environment Interaction GER Genotypes in Environments each with Replicates IITA International Institute of Tropical Agriculture IPCA Interaction Principal Component Analysis LDS Least Significant Difference US United States PCA Principal Component Analysis SAS Statistical Analysis System ii TABLE OF CONTENTS ABBREVIATIONS AND ACRONYMS ii TABLE OF CONTENTS iii LIST OF TABLES v 1. INTRODUCTION 1 2. LITERATURE REVIEW 5 2.1. Centre of Origin and Importance of Cowpea 5 2.2. Cowpea Production and Utilization 7 2.3. Genotype by Environment Interactions 8 2.3.1. Significance of Genotype by Environment Interaction in Crop Variety Selection 9 2.4. The Concept of Stability 10 2.5. Methods to Measure Genotype by Environment Interaction 11 2.5.1. Analysis of Variance 12 2.5.2. Parametric Approach 13 2.5.2.1. Regression coefficient and deviation mean square 13 2.5.2.2. Coefficient of Determination 14 2.5.2.3. Multivariate analysis methods 15 2.6. Genotype x Environment Interaction on Yield and Yield Related Traits in Cowpea 16 2.7. Stability of Cowpea Genotypes Across Varied Environments 16 3. MATERIALS AND METHODS 17 3.1. Experimental Sites 17 3.2. Experimental Materials 18 3.3. Experimental Design 19 3.4. Data Collection 19 iii Continue… 3.4.1. Crop Phenology and Growth 19 3.4.2. Yield and Yield Components 20 3.5. Data Analyses 20 3.5.1. Analyses of Variance 20 3.5.2. Stability Analysis 21 4. WORK PLAN 23 5. LOGISTICS 24 6. REFERENCES 28 iv LIST OF TABLES Tables page 1. Description of test location 17 2. List of experimental materials 18 v 1. INTRODUCTION Cowpea [Vigna unguiculata (L.) Walp] is an annual herbaceous legume that belongs to Fabaceae family. It is diploid species with 2n=2x=22 chromosomes. It is a self-pollinated crop, with natural cross-pollination of up to 1%. All cultivated cowpeas types are grouped under the species Vignaunguiculata, which is subdivided into four cultivar groups such as unguiculata (common cowpea used as food and fodder), sesquipedalis (the yard-long or asparagus bean used as vegetable), biflora (catjang) and textiles (used for fibers). The cultivar group of unguiculata is the most diverse of the four and is widely grown in Africa, Asia, and Latin America (Singh et al., 2002). Cowpea is originated in the center of Africa and is one of the oldest known crops in the continent. There is some debate about the geographical origin of cowpea. Some authors feel that cowpea is originated in either the southern Sahel of north-central Africa or in Ethiopia, and then spread to Asia and the Mediterranean region by way of Egypt. Others have a view that it is originated in India and it was introduced into Africa some 2,000 to 3,500 years ago. From West Africa, they made their way to the Caribbean and then to North America with the slave trade (Singh, 1997). Cowpea is extremely drought resistant and adapted to poor soil, making it a useful staple crop for farmers in areas that face increasingly moisture stress and hot temperatures due to climate change. Cowpea is one of the widely cultivated and consumed grain legumes globally, especially in the arid and semi-arid tropics (Noubissietchiagam et al.,2010). It is able to grow in harsh environments under dry land condition, making it one of the most widely grown legume crops in sub-Saharan Africa (Baidoo and Mochiah, 2014). World production of cowpea was estimated as 5,249,571 tons in 2007, of which over 64% was produced in Africa (Gbaguidi et al., 2013). Pulse crops (Faba-bean, field pea, chickpea, common bean and lentil) occupy about 13% of the croplands in Ethiopia, and they are the second most important element in the national diet, 1 providing principal protein sources and important dietary supplement to cereal consumption. Pulses are used primarily for making wot, an Ethiopian stew, which is served as a main dish to be eaten with injera. Faba bean, field pea, chickpea and lentil are widely grown in the highlands, while common bean is grown in the low and intermediate altitudes. Pulses recently have regained significance as export commodities (CSA, 2014/15). The Food and Agriculture Organization FAO (2005-2006) estimated that 3.7 million tons of dry cowpea grains was produced worldwide in 2003. The total area where cowpea is grown worldwide was 9.8 million ha, with about 91% of this in West Africa. Fatokun (2009) stated that the average yields of cowpea in Africa increased to an average of 470 kg/ha. EIAR (2004) reported that the production status of cowpea in Ethiopia was very low (20-22.5 kg/ha on research farm and 19.6 kg/ha on farmers’ land), which is very low compared to average yield in other African countries. The Cowpea grain is the most important part of the plant for human consumption. The grains are most often harvested and dried for storage and consumption at a later time, either after cooking whole or after being milled like a flour product and used in various recipes (Nielson et al., 1997; Ahenkora et al., 1998). Cowpea plays a critical role in the lives of millions of people in the developing world, providing them a major source of dietary protein that nutritionally complements low protein staple cereal and tuber crops. Cowpea grain is a relatively low fat content and total protein content is two to four fold higher than cereal and tuber crops. Cowpea grains are rich in the amino acids lysine and tryptophan when compared to cereal grains, but low in methionine and cystiene when compared to animal proteins. Total grain protein content ranges from 23 to 32% of grain weight (Nielson et al., 1993; Hall et al., 2003). Cowpea grains are also rich sources of minerals and vitamins (Hall et al., 2003) and among plants that have highest contents of folic acid and vitamin B necessary during pregnancy to prevent birth defects in the brain and spine (Singh et al., 2006). Cowpea production and utilization in Ethiopia is very low as compared to other African countries though the country is claimed to be center of diversity and/or origin and has a high potential for the production of the crop. Ethiopia is the primary center of diversity of cowpea and more than 66.5% of the arable land is very suitable for cowpea production (CCRP, 2015). 2 Significant long-term genetic improvement efforts of cowpea have taken place within national laboratories and universities in India, Brazil, and the USA. Within the Consultative Group on International Agricultural Research (CGIAR), the International Institute of Tropical Agriculture (IITA) based in Ibadan, Nigeria, has the global mandate for improving cowpea cultivars. International Institute of Tropical Agriculture (IITA) develops and distributes a range of improved cowpea breeding lines to 65 countries. The accomplishments of some of these programs have been described (Singh et al., 2002; Hall et al., 2003; Singh 2005). However, Ethiopia has not been in a position to be benefited from international and continental cowpea improvement programs or from the national pulse crops research. This is because low attention is given in research for cowpea as compared to other pulse crops. Drought is currently the most important abiotic stress limiting production of all crops worldwide, even the most drought tolerant cowpea (Hall, 2004). More importantly, Ethiopia is known as a victim with recurrent drought that causes for partial or total crop failure and, subsequently, famine in the country. In such a situation, cowpea can be a potential crop to reduce the consequences of drought because of its drought tolerant nature more than other staple crops. In addition, the crop is suitable to intercropping and has a potential to improve soil fertility through atmospheric nitrogen fixation. However, progress in cowpea breeding in the country is limited either in exploiting the availability of genetic variability in the country or from introduction of improved varieties elsewhere in the world. It is only very recently that the improvement of the crop got attention at a national level. There are many opportunities for breeders to develop cowpea cultivars possessing inherent tolerance to a wide range of abiotic factors (e.g., drought, low soil fertility, high salinity), resistance to a variety of diseases and parasites and agronomic characteristics (e.g., plant growth habits, flowering times, maturity dates), specifically adapted to agro-ecological production zones and crop product utilizations (i.e., dual purpose grain and hay production). It is known that yield and other traits are influenced by genotype, environmental factors, and their interaction. The relative magnitude of environment, genetic and their interaction effects are a challenge that makes production difficult (Hall et al., 2003). Studies undertaken 3 elsewhere showed that cowpea is sensitive to environmental and geographic conditions such as temperature, altitude, latitude photoperiod and others (Adeigbe et al., 2011; Adewale et al., 2010; Patel and Jain, 2012). Therefore, in the process of developing cowpea varieties for desirable traits, it is necessary to evaluate genotypes in contrasting environments in the country. However, information on the effect of genotype, environment, and their interaction on cowpea grain yield under diversified agro-climatic conditions of Ethiopia is limited. Therefore, this research is initiated with the following objectives. Objectives: 1. To estimate the magnitude of genotype, environment and genotype by environment interaction for grain yield of cowpea; 2. To characterize yield stability of cowpea genotypes across different environments 4 2. LITERATURE REVIEW 2.1. Centre of Origin and Importance of Cowpea Cowpea [Vignaunguiculata (L.) Walp] is one of the most ancient crops known to man, with its centre of origin and subsequent domestication being closely associated with pearl millet and sorghum in Africa. The precise location of the centre of origin of the species is, however, difficult to determine. Previous speculation on the origin and domestication of cowpea has been based on botanical and cytological evidence, as well as information on its geographical distribution and cultural practices, and historical records (Faris, 1965; Steele and Mehra, 1980; Ng and Marechal, 1985). Origin and domestication of cowpea occurred in Africa mainly through the African Savannah (Duke, 1981). The probable centers of domestication are thought to be mainly in West Africa, Central Africa and South Africa (Vavilov, 1951). The most primitive wild V. unguiculata occurs in southern Africa in the region encompassing Namibia from the west, across Botswana, Zambia, Zimbabwe, and Mozambique to the east, and the Republic of South Africa in the south. Probably, the Limpopo region of the Republic of South Africa was the centre of speciation of V. unguiculata due to the presence of the most primitive wild varieties, i.e. var. rhomboidea, var. prottracta, var. tennis, and var. stenophylla (Ng and Marechal,1985). Cowpea is used as human food and livestock fodder. This dual purpose characteristic makes it an attractive crop where land is limited. It is a drought tolerant warm weather crop, well adapted to the semi-arid regions of the tropics where other food legumes do not perform well. This trait is, in part, explained by the deep-rooting habit of some varieties. When grown in dry environments desiccation of cells and tissue is easily avoided in the crop; thus neither its biological activity nor survival is threatened (Sinclair and Gardener, 1998). Cowpea is an important crop for the nutrition and the livelihoods of millions of people in less developed countries. It is consumed in many forms. Young leaves, green pods, and green grains are used as vegetables, where as dry grains are used in a variety of food preparations (Nout, 1996; Nielselet al., 1997). The green and dry haulms are fed to livestock, particularly in dry seasons when animal feed is 5 scarce. Trading of fresh produce and processed cowpea foods and snacks provides rural and urban women with opportunity for earning cash income. Cowpea is also a major source of protein, minerals and vitamins (Bressani, 1985). Cowpea is very important as a nutritious fodder for livestock (Singh and Tarawali, 1997). Tarawali et al. (1997) reviewed the use of cowpea haulms as fodder in different parts of the world. In West Africa, the mature cowpea pods are harvested and the haulms are cut while still green and rolled into bundles containing leaves and vines. The bundles are stored on rooftops or on tree forks for use and for sale as harawa (feed supplement) in the dry season, making cowpea haulms a key resource in crop-livestock systems (Singh and Tarawali, 1997). In West Africa region on a dry weight basis, the price of cowpea haulms ranges between 50 to 80% of the grain price. Haulms, therefore, constitute an important source of income. The nutritive value of cowpea grain, leaves, and haulms is very high. The crude protein ranges from 22 to 30% in the grain and leaves on a dry weight basis (Bressani, 1985; Nielsel et al., 1997) and from 13 to 17% in the haulms with a high digestibility value and low fibre level (Tarawali et al., 1997). With all this attributes, cowpea positively influences the nutrition and health of poor people, particularly children. The bulk of the diet of the rural and urban poor African consists of starchy foods, such as cassava, yams, bananas, millet, sorghum and maize. The addition of even a small amount of cowpea improves the nutritional balance of the diet and enhances protein quality by the synergistic effect of high protein and lysine from cowpea and energy from starchy foods. The nutritional quality of cowpea, particularly the protein, fat and iron content has been improved through breeding (Singh and Ishiyaku, 2000). Cowpea provides an important source of protein (20 to 40%), fat (1.3%), fibre (1.8%) and carbohydrates (76%), while cowpea grain protein is high in lysine, it is deficient in sulphur containing amino acids and methionine. This is likely to result in an insufficient supply of these amino acids, especially when cowpea is consumed with sulfur amino acid deficient starch crops, such as cassava (Molvig et al., 1997). 6 Due to its unique ability to fix atmospheric nitrogen through its nodules, cowpea grows well in poor soils having more than 85% sand, less than 0.2% organic matter, and low levels of phosphorus (Kolawale et al., 2000; Sanginga et al., 2000). With these characteristics, the crop does not deplete the naturally low reserves of soil nitrogen. Many experimental findings illustrate that soil N levels increase, following a cowpea crop. Cowpea varies in sensitivity to soil acidity, but it tolerates acid soils under conditions of adequate rainfall (Massey et al., 1998). Cowpea is shade tolerant and, therefore, compatible as an intercrop with maize, millet, sorghum, sugarcane and cotton as well as with several plantation crops (Singh and Emechebe, 1998). Due to its fast growth habit it covers the ground rapidly and, therefore, limits weed competition and soil erosion. 2.2. Cowpea Production and Utilization Reliable statistics on cowpea production and world’s planted area are not available as most countries do not maintain separate records on cowpea. The Food and Agriculture Organization (FAO), therefore, suspended formal publication of cowpea production data several years ago (Singh et al., 1997). However, based on the information available from FAO, it is estimated that cowpea is now cultivated on at least 12.5 million hectares, with an annual production of over 3 million tons worldwide (Quin, 1997). Subsistence farmers in the semi-arid and subhumid regions of Africa are the major producers and consumers of cowpea. These farmers, not only grow cowpea for human consumption and fodder for animal feed, but also utilize the leaves and fruits as vegetables. Cowpea is widely grown in eastern Africa and southeast Asia primarily as a leafy vegetable. Steele et al. (1985) noted that the protein content of the leafy cowpea parts consumed annually in Africa and Asia is equivalent to 5 million tons of dry cowpea grains, providing as much as 30% of the total food legume production in the lowland tropics. West and central Africa regions are leading cowpea-producing area in the world. These part of Africa produce 64% of the estimated 3 million tons of cowpea grain annually (Quin, 1997). Nigeria is the world’s leading cowpea producing country while, Cameroon, Ghana, Niger and Senegal are significant producers. 7 Outside Africa, the major production areas include Asia and Central and South America. Brazil is the world’s second leading producer of cowpea grain, producing 600,000 tons annually (Guazzelli, 1988). By the early 1980s, annual cowpea production in the USA was estimated at 80,000 tons (Fery, 1981). The cowpea has long been valued in the southern USA as a vegetable crop, and an extensive industry currently exists to supply fresh, canned, frozen, and dry-pack products that are marketed nationwide. Additionally, the cowpea has long been a popular item with home gardeners throughout the southern United States. Presently the crop is not widely grown in Ethiopia. Inadequate transmission of research results, community exposure, and lack of intensive research for improvement and introduction are major constraints. Cowpea is one of the most important food leguminous crop plant of great socio-economic, cultural, nutritional importance and a valuable component of the traditional cropping systems in the semi-arid tropics, but in Ethiopia it has got less or no consideration in all respective sectors. 2.3. Genotype by Environment Interactions The improvement of varities which can be adapted to a wide range of diversified environments is the ultimate goal of plant breeders in a crop improvement program. Genotype by environment interactions are of major importance because they provide information about the effect of different environments on varities’ performance and have a key role for assessment of performance stability of the breeding materials (Moldovan et al., 2000). Increasing genetic gains in yield is possible in part from narrowing the adaptation of varities, thus maximizing yield in particular areas by exploiting genotype by environment interaction (Peterson et al., 1989). Genotype by environment interaction is tremendously important in the development and evaluation of plant varieties since it reduces the genotypic stability values under diverse environments (Hebert et al., 1995). Genotype x environment interaction results in genotype rank changes from an environment to another, a difference in scale among environments, or a combination of these two situations (Aycicek and Yildirim, 2006). The adaptability of a variety over diverse environments is usually tested by the degree of its interaction with 8 different environments under which it is planted. A variety is considered more adaptive or stable if it has a high mean yield but a low degree of fluctuation in yielding ability when grown over diverse environments (Eberhart and Russel (1966). Genotype by environment interaction is a differential genotypic expression across environments (Basford and Cooper, 1998). When productivity is extremely low, it is not even possible to discriminate selectively among genotypes. Because of this, and the often observed moderate-to-high correlation of genotype yield performance across a wide range of seasonal water amounts, some researchers have recommended that breeding for stress tolerance should be performed under optimal conditions. It also has been asserted that breeding for stress tolerance under optimal conditions permits an efficient allocation of the resources available. An individual's phenotype is the product of the genotype of the individual, the environment that the individual is exposed to, and the interaction that occurs between the two. 2.3.1. Significance of Genotype by Environment Interaction in Crop Variety Selection Genotype by environment interaction occurs when differences between genotypes are not the same in all locations within and across years. It is the inconsistency of relative performance of genotypes over environments (Hill et al., 1975). Crossover interaction (COI) is part of the genotype by environment interaction (GEI) that is attributable to changes in genotype rank among environments. Crossa (1990) recognized that COI is the most intricate type of GEI with respect to identifying the best genotypes in a selection program. Gail and Simon (1985) developed a statistical test for COI between two treatments evaluated in a number of independent trials. Significant achievement in crop production may be possible by breeding varieties for their stability for yield and yield components (Singh et al., 2009; Lal et al., 2010). The inspection of plant breeders is that environment is a general term that covers conditions under which plants grow and may involve locations, years, management practices or a combination of these factors. Every factor that is a part of the environment of a plant has the potential to cause differential performance that is associated with genotype by environment interaction (Fehr, 9 1991). Allard and Bradshaw (1964) classified environmental variables as unpredictable and predictable factors. The unpredictable variations include the fluctuating features of the location, such as rainfall, relative humidity, temperature, etc., whereas the predictable variations are those factors which are under human control and include planting date, row spacing, plant population and rates of nutrient application. Both conditions provide a greater range of environmental condition to test genotypes (Eberhart and Russell, 1966). The relative grain yield of a set of varieties in a multi-environmental trial changes commonly with respect to each other across location. This differential yield response of cultivars from one environment to another is genotype by environment interaction (GEI) and can be studied, described, and interpreted by statistical models (Crossa, 1990; Vergas et al., 1999). For plant breeders, large genotype by environment interaction hinders progress from selection and has important implications for testing and variety release. Identification of causal factors of the genotype by environment interaction effect and quantification of unexplained variation are of prime importance to recommend environmentally specific varieties. The ability of some crop varieties to perform well over a wide range of environmental conditions has long been appreciated by agronomists and plant breeders. 2.4. The Concept of Stability The knowledge of phenotypic stability is important for the selection of crop varieties as well as for breeding programs. Yield stability is an interesting feature of today’s plant breeding programs, owing to the high annual or seasonal variation in mean yield, especially in the arid and semi-arid areas (Mohammad et al., 2012). Plant breeders usually try a series of genotypes in multi-environments, before a new improved variety is released for production to farmers (Naghavi et al., 2010). The phenotypic performance of a genotype is not necessarily the same under diverse agro-ecological conditions (Ali et al., 2003). Some genotypes may perform well in certain environments than in others, but fail in several others. Genotype by environment interactions is extremely important in the development and evaluation of plant varieties because they reduce the genotypic-stability values under diverse environments (Hebert et al., 1995). The varietal stability could be challenged not only due to the change in the test 10 environment but also due to change in growing season per environment (Dagnachew et al., 2014). The stability is adaptation of varieties to unpredictable environmental conditions and the technique has been used to select stable genotypes unaffected by environmental changes (Allard and Bradshaw, 1964). High yield stability usually refers to ability of variety to perform consistently, whether at high or low yield levels across a wide range of environments (Tarakanovas and Ruzgas, 2006). To identify the most stable and high yielding genotypes, it is important to conduct multi-environment trials (Lu'quez et al., 2002). Stability across environments is one of the most desirable properties of a genotype to be recommended for wide cultivation (Benti et al., 1996). Multi environment testing will minimize the effect of genotype by environmental interactions, but it has been shown that genotypes differ significantly in the extent of their interactions (Setimela, 1996). 2.5. Methods to Measure Genotype by Environment Interaction The statistical methods for measuring genotypic stability should partition the information from a genotype by environment interaction data matrix into simpler components representing real responses versus random variation (Gauch, 1992). These statistical methods can be classified into two groups: univariate and multivariate. Univariate models ranged from parametric, such as environmental variance, stability variance (Shukla, 1972), regression slope (Finlay and Wilkinson, 1963), deviation from regression (Eberhart and Russell, 1966) and coefficient of determination (Pinthus, 1973). Non-parametric models include Kang's yield stability statistic (Kang, 1993). Multivariate models include a wide range of methods, such as principal component analysis (PCA) (Gower, 1967), and additive main effects and multiplicative interaction models (AMMI) (Gauch and Zobel, 1988). A wide range of methods is available for the analysis of genotype by environment interaction and can be broadly classified into four groups: the analysis of components of variance, stability analysis, multivariate methods and qualitative methods. 11 2.5.1. Analysis of Variance The conventional cultivar evaluation trial is one in which the yield of genotypes is measured in environments each with replicates (GER). The classic model for analyzing the total yield variation contained in GER observations is the analysis of variance (Fisher,1925). Within environment, residual mean square measures the error in estimating the genotype means due to differences in soil fertility and other factors, such as shading and competition from one plot to another. After removing the replicate effect when combining the data, the genotype by environment interaction observations is partitioned into two sources: (a) additive main effect for genotypes and environments and (b) non-additive effects due to genotype by environment interaction (Fisher, 1918, 1925). The analysis of variance of the combined data expresses to the observed (Yij) mean yield of the ithgenotype at the jth environments as: Yij= μ + Gi + Ej + GEij + eij Where μ is the general mean, Gi, Ej and GEij represent the effects of the genotype, environment and genotype by environment interaction respectively, and eij is the average random error associated with the ith plot that receives the ith genotype in the jth environment. The non-additive interaction (GEij) as defined in the above equation implies that an expected value (Yij) depends not only on the level of genotype and environment separately, but also on the particular combination of levels of genotype and environment interaction (Crossa, 1990). The major restriction in this analysis is that the error variances over environments should be homogeneous to test for genotypic differences. If error variances are heterogeneous, this analysis is open to criticism as the F-test of the genotype and environment interaction mean squares against the pooled error variances is biased towards significant results. One of the main deficiencies of the combined analysis of variance of multi-location trials is that it does not explore any underlying structure within the observed non-additively genotype and environment interaction. Analysis of variance of multi-environment trials is useful for estimating variance components related to different sources of variation, including genotypes and genotype by environment interaction. Variance component methodology is important in 12 multi-environment trials, since errors in measuring the yield performance of a genotype arise largely from genotype and environment interaction (Fisher, 1925). 2.5.2. Parametric Approach Stability analysis provides a general summary of the response patterns of genotypes to environmental changes. Freeman (1973) termed the main type of stability analysis, joint regression analysis, or joint linear regression. It involves the regression of the genotypic means on an environmental index. Joint regression analysis provides a means of testing whether the genotypes have characteristic linear responses to changes in environments. Yates and Cochran (1938) first proposed joint regression analysis. 2.5.2.1. Regression coefficient and deviation mean square Joint linear regression is a model used for analyzing and interpreting the non-additive interaction of two-way classification data. According to Ramagosa and Fox (1993) simple linear regression provides a conceptual model for genotypic stability and is the most widely used statistical technique in plant breeding. This model is also called the Finlay and Wilkinson (1963) approach. It determines the regression coefficient by regressing variety mean on the environmental mean, and plotting the obtained genotype regression coefficients against the genotype mean yields. Finlay and Wilkinson (1963) defined a genotype with regression coefficient zero as stable, while Eberhart and Russell (1966) defined a genotype with regression coefficient with one to be stable. Perkins and Jinks (1968) proposed an equivalent statistical analysis whereby the observed values are adjusted to environmental effects before the regression. Eberhart and Russell (1966) proposed pooling the sum of squares for environments and genotype by environment interaction and subdividing it into a linear effect between environments (with 1 degree of freedom), a linear effect for genotype by environment interaction (with E-2 degree of freedom). 13 In effect, the residual mean squares from the regression model across environments is used as an index of stability, and a stable genotype is one in which the deviation from regression mean squares is small. However, genotype by environment interaction becomes of practical significance only when crossover interactions occur (Cornelius et al., 1996). Crossover interactions occur in evaluation trials when ranks of cultivars change in different environments. In varying environments, genotypes that provided high average yields with minimum genotype by environment interaction have been gaining importance over increased yields (Gauch and Zobel, 1997). The conventional method of partitioning total variation into components due to genotype, environment, and genotype by environment interaction conveys little information on the individual patterns of response (Zobel et al., 1988). To optimize growers’ yields, the growing region must be subdivided into relatively homogenous megaenvironments and appropriate genotypes must be targeted for each of these megaenvironments (Gauch and Zobel, 1997). The usual analysis of variance (ANOVA) fails to detect a significant interaction component, principal component analysis (PCA) fails to identify and separate the significant genotype and environment main effects, and linear regression (LR) accounts for only a small portion of the interaction sum of squares (Zobel et al., 1988). Since ANOVA, PCA, and LR are sub-cases of the more complete AMMI model (Zobel et al., 1988), AMMI offers a more appropriate first model of choice when main effects and interaction are both important (Gauch and Zobel, 1997). AMMI increases the precision of yield estimation and selection of higher yielding genotypes than treatment means (Crossa et al., 1990). 2.5.2.2. Coefficient of Determination Pinthus (1973) proposed the coefficient of determination (r2) instead of deviation mean squares (S2d) to estimate stability of genotypes, because coefficient of determination is strongly related to deviation mean squares. The effectiveness of the use of coefficient of determination as an index of stability was demonstrated by the observation made by Eberhart and Russell (1966). Coefficient of determination is used to estimate predictable performance of genotypes (Pinthus, 1973). 14 2.5.2.3. Multivariate analysis methods According to Crossa (1990), multivariate analysis has three main purposes: (i) to distinguish systematic from non-systematic variation); (ii) to summarize the data; and (ii) to reveal a structure in the data. Multivariate analysis is appropriate for analyzing two-way matrices of genotypes and environments. Two groups of multivariate techniques have been used to explain the internal structure of genotype by environment interaction. Ordination techniques, such as principal component analysis, principal coordinate’s analysis, and factor analysis,. These techniques attempt to represent genotype and environment relationships as faithfully as possible in a low dimensional space. A graphical output displays similar genotypes or environments near each other and dissimilar items are farther apart. Classification techniques, such as cluster analysis and discriminate analysis, seek discontinuities in the data. These methods involve grouping similar entities in clusters and are effective for summarizing redundancy in the data (Crossa, 1990). The development of high yielding varieties with wide adaptability is the ultimate aim of plant breeders. However, attaining this goal is made more complicated by genotype by environment interactions (Gauch and Zobel 1996). Combined analysis of variance can quantify genotype by environment interactions and describe the main effects, but it does not explain the interaction effect (Asnake et al., 2013). AMMI model, genotype, and genotype by environment interactions biplot analysis are the most commonly used analytical and statistical tools to determine the pattern of genotypic responses across environments (Yuksel et al., 2002). Purchase et al. (2000) developed a quantitative stability value to rank genotypes through the AMMI model, namely the AMMI Stability Value (ASV). Genotype and genotype by environment interactions biplot analysis is based on environment-centered PCA, whereas AMMI analysis refers to double-centered PCA. For the research purpose of describing megaenvironments, both AMMI and genotype and genotype by environment interactions are suitable. The AMMI model combines the analysis of variance for the genotype and environment main effects with principal components analysis of the genotype environment interaction (Kaya et al., 2002). AMMI is the model of first choice when main effects and interaction effects are both important, which is the most common cause with yield trials 15 (Mandel, 1971). If, for example, only main effects (additive structure) are present in the data, then the AMMI can be reduced to an ANOVA model, whereas if non-additive structure is only present then the PCA model is reflected. 2.6. Genotype by Environment Interaction on Yield and Yield Related Traits in Cowpea Yield is a complex quantitative character governed by polygenic inheritance. In such traits, the influence of the environment is high, and genotype x environment interaction effect is often highly significant (Poehlman and Sleper, 1995). High seasonal variability of yield is common in pulse crops due to pollination deficiency, water stress, competition from vegetative sinks, and losses due to diseases, insect pest, and weeds. The occurrence of such variability makes it difficult to predict ideal genotypes for both maximal yields in favorable seasons and for yield stability under conditions of environmental stress (Williams, 1985). The great expenditure of energy for nitrogen fixation in competition with grain filling is also cited as one factor for reduced yield of pulses as compared to cereals (Simmonds, 1986). Genotype x environment interaction, thus lack of stability in quantitatively inherited traits, is a challenging problem, especially in areas with unpredictable environmental factors. 2.7. Stability of Cowpea Genotypes across Varied Environments Many past studies on stability have often been on polygenic traits, most especially, the yield; the genetic performances of other quantitative traits are likewise influenced by the environment (Aremu et al., 2007). G x E cannot be avoided, in fact, it is an important limiting factor for testing the efficiency of any breeding program. The occurrence of large genotype x environment interaction affects the recommendations of the breeders in selecting genotypes for specific environment. Genotype x environment analysis is used to provide unbiased estimates of yield and other agronomic characteristics and to determine yield stability or the ability to withstand both predictable and unpredictable environmental variation (Kamdi, 2001). Therefore, a good understanding of the genetic stability of those yield determining traits would be prerequisite for any reliable prediction for grain yield in cowpea. 16 3. MATERIALS AND METHODS 3.1. Experimental Sites The experiment will be conducted at six locations in cropping season of 2016. Description of each test location is given here under (Table 1). Each location is different in soil type, altitude, and mean annual rainfall, and each location is considered as one environment. Table 1. Description of test location Location Soil type Altitude Average Temperature(OC) Geographical location (ON, O E) (masl) rainfall Min Max Latitude (N) Longitude (E) (mm) Arbaminch Clay 1216 1000 16 37 06O 06' 841'' 037O 35' 122'' 1180 862.5 15.1 27.5 - - 1650 671 15.5 28.1 9O 13' 09'' 42O 19' 25'' loamy Derashe Babile Sandy loam Fadis Vertisol 1600 804 22.5 32.5 9O 07' 42O 04' Melkasa Andosol 1500 763.0 14.0 24.8 8O 30' 39O 21' Miesso Vertisol 1332 787.0 14.9 28.2 9O 28' 38O 08' Source: Gamo Gofa and Segen Area People Zone Agricultural Department and Melkasa Agricultural Research Center 17 3.2. Experimental Materials Sixteen cowpea genotypes (14 advanced lines and two standard checks) will be used for this study. Descriptions of the genotypes are given in Table 2. Table 2. List of experimental materials No. Genotype Status 1 KENKETI Standard check 2 86D-378 Advanced line 3 IT-89KD Advanced line 4 MEL-NURL-96-3 Advanced line 5 IT-96D-610 Advanced line 6 IT-93K-556-4 Advanced line 7 IT-97K-568-18 Advanced line 8 IT-99K-1060 Advanced line 9 95K-1095-4A Advanced line 10 IT-87D-1137 Advanced line 11 IT-96D-604 Advanced line 12 93K-619-1 Advanced line 13 IT-93K-293-2-2 Advanced line 14 IT-99K-1060 Advanced line 15 IT-960-604 Advanced line 16 TVU Standard check Source: Melkasa Agricultural Research Center 18 3.3. Experimental Design In each location, 4 x 4 triple lattice experimental design with three replications will be used. Each experimental plot will have six rows. The seeds of the experimental varieties will be planted on 4 m x 2.4 m plots (9.6 m2) having six rows, with inter-row spacing of 60 cm and 20 cm within rows. All other agronomic managements will be applied based on national recommendation. 3.4. Data Collection Data will be collected on the basis of five sample plants randomly taken from the four central rows, viz. plant height at maturity, number of pods per plant, pod length, and number of seeds per pod, on the basis of entire plot, such as days to 50% flowering, days to 90% physiological maturity, net plot which include yield per plant, grain yield per hectare, and 100 seed weight. 3.4.1. Crop Phenology and Growth 1. Days to 50% emergence (DE): Number of days from planting to when 50% of plants emerged in a plot. 2. Days to 50% flowering (DF): Number of days from planting to when 50% of plants in a plot have at least one open flower. 3. Days to 75% physiological maturity (DM): Number of days from planting to when 75% of plants in a plot have at least 90% of their pods dried. 4. Plant height (PH) (cm): Length of the central axis of the stem, measured from the soil surface up to the tip of the stem at physiological maturity. 19 3.4.2. Yield and Yield Components 5. Pod length (PL cm): Average length of pods, measured at physiological maturity on five randomly taken plants, and five randomly taken pods per plant. 6. Number of seeds per pod (SPP): Average number of seeds per pod, counted at harvest on five randomly taken plants, in five randomly taken pods per plant. 7. Number of pods per plant (NP): Average number of mature pods, counted at harvest on five randomly taken plants. 8. Grain yield per plant (GY g): grain yield of all plants from net plot will be measured after open air dried in grams and divided by the number of plants harvested to registered as grain yield per plant. 9. Grain yield per hectare (GY kg ha-1): the net plot grain yield at adjusted 10% moisture will be converted to yield per hectare in kilogram. 10. Hundred Seed weight (HSW g): 100 seeds will be randomly taken from the grain yield of net plot and will be weighted in grams. 3.5. Data Analyses 3.5.1. Analyses of Variance Analysis of variance for grain and related traits for each location will be analyzed with the PROC Lattice procedure in SAS (2009) versions 9.00. The combined analysis of the variance across locations will be analyzed by using PROC Lattice model of SAS software in order to determine differences between genotypes across locations, among locations and also to determine their interaction to check significance. Bartlett's test will be used to assess the homogeneity of error variances prior to combine analysis over locations. Duncan’s Multiple Range Test (DMRT) will be used for mean separation (Gomez and Gomez, 1984). The 20 comparison of mean performance of genotypes will be conducted depending on the test results of homogeneity of error variances. The mean performance of genotypes will be compared on the basis of pooled mean over locations for the traits that exhibited homogeneity of error variances and mean performance of genotypes will be compared for each location for the traits that exhibited heterogeneity of error variances. Analyses of variances will be computed for six environments using Additive Main Effects and Multiplicative Interaction (AMMI) (Zobel et al., 1988; Guach, 1988) and regression models (Eberhart and Russell,1966) for grain yield and some yield components that exhibited significant mean squares for genotype by location in combined analysis of variance. Genotype by environment interaction will be quantified using pooled analysis of variance, which partitions the total variance into its component parts (genotype, environment, genotype by environment interaction and pooled error). The genotype by environment interaction analysis using Eberhart and Russell (1966) model will be computed using SPAR two statistical software, while Gene Stat statistical software will be used for AMMI (Zobel et al., 1988; Guach, 1988) model. In addition, environment index and ranking will be conducted using Eberhart and Russell (1966) and AMMI (Gauch and Zobel, 1996) models, respectively. 3.5.2. Stability Analysis The two models (Eberhart and Russell, 1966) and AMMI (Guach, 1988; Zobel et al., 1988) stability parameters will be computed for the traits that exhibit significant GEI mean squares and in both models GEI analyses of variance will be computed. Accordingly, regression coefficient (bi) and deviation from linear regression (Sdi2) from Eberhart and Russell’s (1966) model, and from AMMI model, interaction principal component axes (IPCA) scores of genotype and environment, and AMMI bi-plots will be computed as per the established standard procedures for each model. Since AMMI model does not make provision for a quantitative stability measure, AMMI stability value (ASV) (Purchase, 1997) measure will be computed in order to quantify and rank genotypes according to their yield stability: 21 AMMI Stability Value (ASV) = [IPCA1score] ² The ASV is the distance from zero in a two-dimensional scatter gram of IPCA1 (Interaction Principal Component Analysis axis 1) scores against IPCA2 score. Since the IPCA1 score contributes more to G x E sum of squares; it has to be weighted by the proportional difference between IPCA1 and IPCA2 scores to compensate for the relative contribution of IPCA1 and IPCA2 to total G x E sum of squares. 22 4. WORK PLAN Table 3. Description of work plan No Activity 1 Site selection Period June 01-20, 2016 2 Land preparation June 21-July 20, 2016 3 Sowing July 22-August 5, 2016 4 Weeding August 06- August 29, 2016 5 Data collection July 27- October 30, 2016 6 Data analysis November 15- December 30, 2016 7 Thesis writing January 1, 2017- March 20, 2017 8 Thesis submission March 30, 2017 23 5. LOGISTICS 5.1. Supplies Table 4. Supply description No. Item Quantity Unit Unit Cost (Br.) Total cost (Br.) Remark 1 Paper bags 400 Pcs. 2.00 800.00 2 Fertilizer (DAP) 33 Kg 12.00 400.00 3 Rope 700 M 1.400 1000.00 4 Meter 2 No. 50.00 100.00 5 Plastic bags 400 No. 2.00 800.00 6 Fuel and lubricants ----- ------- ------ 1087.00 Sub-total 4187 5.2. Personnel Expense Table 5. Personal expense description No. Item Quantity Unit No. of Labor Individual cost (Br.) Total cost (Br.) 1 Land preparation 3 Days 35 20.00 2100.00 2 Sowing 1 Day 21 20.00 420.00 3 Weeding 3 Days 14 20.00 280.00 5 Data collection 5 Days 7 40.00 1,400.00 6 Harvesting 1 Day 14 20.00 280.00 7 Threshing 1 day 20 20.00 400.00 Sub-total 4,880 24 5.3. Stationery Costs Table 6. Stationery costs description No. Item Quantity Unit Unit cost (Br.) Total cost (Br.) 1 Notepad 7 No. 15.00 105.00 2 Printing paper 5 Reams 90.00 450.00 3 Pens 7 Pcs. 4.00 28.00 4 Photocopy 2 Pcs. 500.00 500.00 5 CD-RW 1 Pack 300.00 300.00 6 USB flash disk 2 No. 300 300.00 Sub-total 1683 5.4. Per Diem Table 7. Per diem description No. Individual Quantity Unit No. of days Rate Total cost (Br.) 1 Researcher 7 Days 2 70 980 2 Major advisor 1 Days 10 171 1,710.00 3 Co-advisor 1 Days 10 70 1710.00 4 Driver 1 days 8 70 560.00 Sub-total 4,960 25 5.5. Transport Costs Table 8. Transport cost description No. Personnel Departure Arrival No. of trips Trip cost (Br.) Total cost (Br.) 1 Researcher Haramaya Trial stations 4 100.00 400.00 2 Haramaya Trial stations 4 80.00 320.00 Melkesa Trial stations 2 (Car rent) 970.00 3 Advisor Sub-total 1690 5.6. Miscellaneous Costs Table 9. Miscellaneous cost description No. Item Unit cost (Br.) 200.00 Total cost (Br.) 1 Binding 2 Internet &phone costs …….. 500.00 3 Supervision fee …. 3,000.00 4 Thesis binding ….. 500.00 Sub-total 300.00 4,300 26 5.7. Budget Summary Table 10. Budget summary description No. Item Total cost (Br.) 1 Supplies 4187.00 2 Personnel 4880 3 Travel 1690.00 4 Stationery 1683 5 Miscellaneous 10,600.00 6 Per diem 4960.00 Grand total 28,000 Source: Southern Agricultural Research Institute (SARI) and Ethiopian Agricultural Research Institute (EIAR) 27 6. REFERENCE Ahenkora, K., Adu-Dapaah, H.K,, Agyemang, A. 1998. Selected nutritional components and sensory attributes of cowpea [Vignaung uiculata (L.) Walp.], 52:221–229. Ali, N.F., Javidfar, N.F. and Mirza, Y. 2003. 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