Effect of Interaction between Traits of Different Genotype Maize in Six Fertilizer Level by GGE Biplot Analysis in Hungary

. Hungary was one of the main countries in the world as regards the yields reached in maize production. The research was conducted to appraise the effect of NPK fertilizer on traits of different hybrid maize (Fao410, Fao340) at the University of Debrecen and our experiment was carried out in Centre for Agricultural Sciences, Institute of Crop Sciences at Látókép in 2018. NPK fertilizer was applied in six different combinations (0-0-0 control, 30-23-27 ﬁ rst dose, 60-46-54 second dose, 90-69-81 third dose, 120-92-108 fourth dose and 150-115-135 ﬁ fth dose kg· ha –1 ). The result of compound variance showed the level of fertilizer and interaction between fertilizer and genotypes were signi ﬁ cant in one percent. Effect of genotypes was a variable level of fertilizer and providing a different yield in the level of fertilizer. The weight of seeds in ear and weight of ear were important traits in the average yield on Fao410 hybrid. Also, the fourth of the fertilizer level was the best level of fertilizer for yield on Fao410 and Fao340. the weight of fresh plant and weight of seeds in ear were highest relation with yield in H340 hybrid. The results of this research can successfully contribute to the science of maize cultivars, the given adapted hybrid to the discovery of their traits and to an application of fertilizers.


Introduction
The amount of global annual maize production was 483 million tonnes in 1990 and increased to 705 million tonnes in 2004. The increment of 67% in the most dynamic among cereals. Its role in human nutrition and its widespread cultivation have made it the most important crop (Nagy, 2006). Earlier, Hun-gary was one of the main countries in the world maize production, however, changes in climatic conditions have unfavourable effect on yield of maize (Nagy, 2008).
In 2050, a population of more than 9 billion will depend on the accessibility of plant nutrients in proportion to the necessary increase in productivity, establishment of new crops and technologies, and the cultivation of marginal lands. During the 20th century, production of food enhanced substantially, because of the development of yield. If we take the mean of crop yields from 1900 and from 2000, it is clear that it would need nearly four times more land to catch crop at the 2000 level (Smil, 2011a). Large amounts of nutrients from plants (mainly nitrogen, phosphorus and potash) being removed from the soil at harvesting crops, fertilizers are important in refilling nutrient reserves into the soil. Many authors assert that increasing yield from 30% to 50% is due to fertilizers (Heisey and Norton, 2007).
Agriculture is more dependent on arranged utilization of plant nutrients while increasing food production. Hence, you can understand necessary nutrients have risk in food production in the future and will be immensely important in upcoming years. Food and Food Organization forecasts reveal that feeding the global population of 9.1 billion in 2050, over the years 2005/07 to 2050, requires a total incensement of food production by 70% (FAO, 2009). New forecasts show that rising global demand for food in the year 2050 will have risen by 100 to 110 percent since 2005 (Tilman et al., 2011). From 2005 to 2050, fertilizer production should be from 50% to 100% increasing significantly because of increasing food production and crops. Crop production is cereal oriented in Hungary. So, there is planting area for cereals and small grain and maize around 70% of total agricultural land between 2.7-2.8 million hectares. The using of fertilizers, nitrogen and other macro elements, P and K, are parameters of increasing performance to crops (mainly cereals), but using overdose fertilizer caused damage to environment and caused problems to the soil and decrease of quality water and increase of NO 3 -N and caused emissions of greenhouse gases in soil (Li et al., 2007;Van Groenigen et al., 2010). The over NPK fertilizer has huge program for future agriculture because of variable meteorological and soil factors (Ladha et al., 2005;Devkota et al., 2013).
There are increasing yields of maize due to timing, dosing, harmonizing and splitting of N-fertilization with PK fertilizer doses in Hungary (Pepó et al., 2006). However, there is not an acceptable result increasing the fertilizer caused yield of maize (Liu et al., 2003;Pepó et al., 2008) and it might even cause reduction in yield (Lü et al., 2011). Thus, the correct management of nitrogen fertilizer is important and essential in order to keep the high yield of maize and N efficiency. There are only a few articles about the nitrogen use efficiency (NUE) on the different hybrids of maize (Balko and Russell, 1980;Muruli and Paulsen, 1981;1982;Akintoye et al., 1999). In general, there is any report about N uptake efficiency to be less than 40% globally (Raun et al., 2002). Denitrification, soil erosion, leaching and volatilization are correlating with the efficiency of N on low recovery (Fageria and Baligar, 2005). Effect of the nitrogen depends 24-48% on nitrogen fertilizer forms (Abbasi et al., 2013). In cereals, nitrogen use efficiency reported ranged from 28% to 41% (Zhu and Wen, 1992). Other researchers reported that the NPK fertilizers resulted in more yield than other fertilizers with similar nitrogen content. This result shows that potassium is an important factor for increasing of yield (Duan et al., 2014). Phosphorus is a very important parameter for efficiency fertilizers and nitrogen fertilizers. Thus, phosphorus use efficiency is a big concern for farmers (Schröder et al., 2011). Results of research in China showed that phosphorus use efficiency averaged 13.01 (3.0% to 49.3%) on 165 fields of cereals (Li et al., 1998;Zhu and Wen, 1992).
The purpose of this study was to evaluate the interaction between traits of tow hybrids maize in the different levels of fertilizer in Hungary by GGE biplot.

Method and materials
In this study, the experimental farm was located at the University of Debrecen and our experiment was carried out in the Centre for Agricultural Sciences, Institute of Crop Sciences at Látókép. The site is located in Eastern Hungary, 15 km from Debrecen in the Hajdúság Loess region, where the soil is calcareous chernozem (N 47°33', E 21°27'). The experimental soil was well culture-state, medium-hard loam. Its humus content is medium, 2.8%, its pH value is almost neutral, pH KCl = 6.2. The soil has proper water management characteristics. The hybrids studied in the experiment were H340(FAO 340) and H410(FAO 410). The hybrids were sown with a seed number of 72,000 plants/ha. We applied six fertilization treatments (Table 1). Nitrogen was applied in the form of 34% ammonium-nitrate (50% in the spring), the nitrogen 50% and the phosphorus and potassium fertilizers were solicited in full dosage (100%) in the autumn as a 10:15:18 special complex fertilizer. The amount of rainfall was 291 mm after sowing until harvest time (Table 2).

Result Simple and compound variance analysis
According to a simple variance, there are traits between plant height, ear weight, cob ear weight, the weight of the seeds in ear significance in 5 percent in H340 also, the weight of fresh plant in 1 percent. This study states that traits were variable in different level fertilizers (Table 3). Also, simple variance showed that there was significance at one percent between traits weight of ear, the weight of cob ear, weight of the seeds in the ear, and weight of the fresh plant in hectare in H410. The study also revealed that traits were variable in different level fertilizers (Table 4). The compound variance showed a level of fertilizer and interaction between fertilizer and genotypes were significant at one percent. Effect of genotypes was a variable different level of fertilizer and we have a different yield in the level of fertilizer (Table 5). Bencze et al. showed that, based on analysis of variance, the difference in yield of both years were formed only for N levels. The growth of P and K levels were significant only in one year and its effects have been growing trendy. The role of phosphorus and potassium in corn grains is reduced and most of them affect the physiological process of corn. Effect on yield was less because it was based on different interactions (Bencze et al., 2017).

Classification of traits by factor analysis and cluster
We obtained important factors in yield by main factor analysis. This analysis showed that 4 main factors justified approximately 72% of all data. According to the analysis, first factor was related to traits ear, such as the weight of ear, weight of seeds in ear and number of seeds in an ear that all traits men-  ( tion covered 30 percent of the total variance. The second factor covered fresh yield of a plant by 17 percent of total variance and we can make the name of the second factor to biological factor. The third factor of main factor analysis included traits related to the vegetative growth stage that was covered by 15 percent of total variance. In this study, we can coin the term, the third factor to vegetative growth factor (Table 6). Cluster figure showed us that traits for this study divided into 3 sections. The first group was traits related to vegetative growth including stem diameter, to the weight of fresh plant and number of the nodes. Second group traits were related to seeds that included the Total weight of cob ear, the weight of seeds in an ear, the weight of one thousand seeds that we can name grain yield group. In the final analysis, third group traits were related to ear including a number of seeds in row and column, the number of seeds in the ear and length of an ear (Fig. 1). Among the authors, Hejazi showed that traits of seed rows per ear and ear diameter and ear length explained 47.4% of the variation coefficients high positive in the first factor. Twenty-two percent of the variation explained in the second factor by grain yield and number of grains per ear. The third factor (cob weight) was 14.8% of the variation of the plant height, ear height and plant height (Hejazi et al., 2013).

Determination of the ideal traits of different levels of fertilizer using the GGE biplot graphical method
The graph result shows the ideal traits. Ideal traits have the highest recognition and representation abilities between other traits. Based on this, the ear weight and grain weight per ear were recognized as an ideal trait due to its proximity to the centre of the axis. Finally, as seen in the plot, the outer diam- Fig. 1. Cluster and classification of the traits eter of the ear was introduced as the weakest trait due to having the greatest distance from the centre of the dual axis. It should be noted that the ideal trait is an appropriate representative for the study of the effects of fertilizer levels (although this does not reject the results of other traits). In fact, the ideal trait represents the most ideal response pattern for fertilizer levels (Fig. 2).

Determination of the ideal fertilizer level for the studied traits using the GGE biplot graphical method
One of the important applications of biplots is to identify the best fertilizer levels based on a various index or measured traits. The graph shows the number of fertilizer's levels based on the ideal fertilizer level. The ideal fertilizer is a level of fertilizer that is oriented towards the positive end of the middle axis of the various levels of fertilizer and its perpendicular distance from this line is reached minimum. To compare the different levels of fertilizer with the ideal level of the central axis this level is drawn. Other levels of fertility are arranged based on similarity and proximity to the ideal level and it is easy to know the level of fertilizer or levels. On this basis, the ideal levels are level fourth and the desired levels are then fifth, second, first, third and zeroth. Levels fourth and fifth are the most desirable levels for the fresh weight of the plant (Fig. 3).

Determination of the ideal traits of different levels of fertilizer using the GGE biplot graphical method
The graph shows the ideal traits. Ideal traits actually have the highest recognition and representation abilities between other traits. Based on this, the weight of ear and the weight grain per ear were recognized as an ideal trait due to its proximity to the centre of the axis. Ultimately, as seen in this plot, ear altitude was introduced as the weakest attribute due to having the greatest distance from the centre of the axis. It should be noted that the ideal trait is an appropriate representative for the study of the effects of fertilizer levels (although this does not reject the results of other traits). In fact, the ideal trait represents the most ideal response pattern for fertilizer levels (Fig. 4).

Determination of the ideal fertilizer level for the studied traits using the GGE biplot graphical method
One of the important applications of biplots is to identify the best fertilizer levels based on a various index or measured traits. The graph shows the number of fertilizer levels based on the ideal fertilizer level. The ideal fertilizer is a level of fertilizer that is oriented towards the positive end of the middle axis of the various levels of fertilizer and its perpendicular distance from this line is minimal. To compare the different levels of fertilizer with an ideal level, the centre line of the coils is drawn to the centre of this level of fertilizer.
Other levels of fertility are arranged based on similarity and proximity to the ideal level and it is easy to know the level of fertilizer or levels of fertilizer. Based on this, the ideal level is the fourth level and the desired levels are then third, second, first, fifth and zeroth levels. Fourth and third levels are the most desirable levels of fertilizer in terms of yield traits (Fig. 5).

Conclusion
A few ecological and biological factors influence the number of nutrients used in fertilizers (Fageria and Baligar, 2005;Cui et al., 2006). The researchers' results about the different nutritious utilization and fertilizers of maize hybrids show that yield in the nitrogen opt + phosphorus and potassium treatment have highest yield in this treatment. There are four different classifications about valuable hybrids that these were increasing yield more than the control treatment. (Pepo, 2006). In this study, the weight of seeds in ear and weight of ear were important traits for yield in H410 hybrid. Also, the fourth of the fertilizer level was the best level of fertilizer for yield in this hybrid. There is the highest relation in yield between the fourth level of fertilizer with weight of fresh plant, fifth level of fertilizer with weight of the one thousand seeds and first and second level of fertilizer with length of the ear in H410. Weight of fresh plant and weight of seeds in ear had been highest in relation with yield in H340 hybrid. Fourth of fertilizer level had more relation with stem diameter for yield, third of fertilizer level with the weight of cob and first and second and fifth of fertilizer level with outer diameter too. Our study showed fourth of fertilizer level was the best level of fertilizer on H410 and H340 hybrid in Debrecen region. Research results in this paper can successfully contribute to the science of maize genotypes, to the exploration of their traits and to an application of fertilizers adapted to the given hybrid.