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The impacts of spring basal and side dressing on maize yield
83-86Views:207The yield potential of maize is very high. According to Tollenaar (1983), maize yield potential is as high as 25 t ha-1 (absolute dry yield) which is the highest among all cereals. In order to fully utilise this high yield potential, proper nutrient replenishment is of chief importance among all agrotechnical factors.
The aim of research was to examine the effect of nitrogen fertiliser applied as basal and side dressing on maize yield.
The measurements were performed at the Látókép experiment site (47° 33’ N, 21° 26’ E, 111 m asl) of the Centre for Agricultural Sciences of the University of Debrecen on mid-heavy calcareous chernozem soil with deep humus layer in an established experiment in 2011, 2012 and 2013. The trial design was split-split-plot with two replications.
Based on the experiment results, it can be established that the nutrient uptake of maize is greatly dependent on the amount of water store in the soil. From the aspect of the development of the maize plant and water supply, the most determinant factor was the distribution of precipitation over the growing season and not the amount precipitation. This is shown by the fact there was only 276 mm precipitation – which was favourably distributed – in 2012 to increase the availability of nutrients and the main average was the highest in this year (14.394 t ha-1).
Spring basal dressing helped maize development in all three years even on chernozem soil which is well supplied with nutrients. Although the effect of side dressing did not result in any yield increase, it could still contribute to mitigating the stress effects caused by environmental factors. Altogether, nutrient supply adapted to the various development stages of maize can favourably affect the success of maize production.
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Agronomical and economic evaluation of different soil cultivation systems
47-52Views:104In the interest of profitable plant production and environmental protection, we have to make an effort to protect and improve the productivity of our soils while moderating production limiting factors. Due to different soil cultivation methods, the quantity of yield and required expenses also differ.
We examined the production costs in four different production technology systems. Overall, it can be said that farming standards are good, since cost prices were low (2001: 14-15 HUF/kg, 2002:15-21 HUF/kg, 2003: 39-49 HUF/kg) in the case of all main products per 1 kg. Cost prices were lowest in the case of direct sowing, probably due to low machinery costs.
All economic indicators have to be compared when choosing the most suitable production technology in a specific farming environment. -
What does precision crop production hold for the future of soil science and plant nutrition?
411-421Views:230The concept of precision agriculture is straightforward at the scientific level but even basic goals are blurred at the level of everyday practice in the Hungarian crop production despite the fact that several elements of the new technology have already been applied. The industrial and the service sectors offer many products and services to the farmers but crop producers do not get enough support to choose between different alternatives. Agricultural higher education must deliver this support directly to the farmers and via the released young graduates. The price of agricultural land must be higher if well-organized data underpin the production potential of the fields. Accumulated database is a form of capital. It must be owned by the farmers but in a data-driven economy its sharing will generate value for both farmers and the society as a whole.
We present a methodological approach in which simple models were applied to predict yield by using only those yield data which spatially coincide with the soil data and the remaining yield data and the models were used to test different sampling and interpolation approaches commonly applied in precision agriculture. Three strategies for composite sample collection and three interpolation methods were compared. Multiple regression models were developed to predict yields. R2 values were used to select among the applied methods.
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Comparing the yield of maize (Zea mays L.) hybrids in organic and conventional agriculture
13-17Views:194The European Green Deal was published by the European Commission in 2019. The main aim of the program is to reach net zero greenhouse gas emissions by 2050, making Europe the first climate-neutral continent in the world. To achieve this, criteria are also set for agriculture: increasing the share of land under organic farming to 25%, reducing the use of fertilisers and pesticides. However, the benefits of organic farming are widely debated. The aim of our study was to compare the yield of maize (Zea mays L.) hybrids bred in Martonvasar in two different cropping environments. The silage yields of 20 different maize hybrids were evaluated in a three replicate small plot experiment in an organic field and an adjacent conventional field. The average green mass yield of the hybrids was 36,58 t ha-1 in the organic field and 43,03 t ha-1 in the conventional. The green mass yield in the organic area was 20% lower than in the conventional area, and the dry matter yield and digestible dry matter yield were about 18% lower. Hybrids of different maturity groups responded differently to organic cultivation. The yields of early hybrids decreased more and late hybrids less in the organic farming compared to the conventional production.
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Status of soil quality in south-west of Romania and its role in sustainable development of the rural space
273-278Views:95Being aware of lands ecological resources’ natural conditions and particularities for different uses and crops is of great importance
for the big and small producers.
In this paper we present the main aspects regarding the quality of the ecopedological conditions. Here there are briefly presented the
physico-geographic conditions and the telluric-edaphic configuration of the area. Also, the structure of the main categories of agricultural
activities in the physical geographical areas (mountains, hills and plateaus, high and low plains and meadows) and main soils’ types and
associations are presented. Lands vocation for different use (arable, lawns, hay, orchard, vineyard
The paper ends with highlighting the necessary measures for a lasting administration of ecopedological resources in the studied area. -
Relationships of Fruit Production and Regional Development in the Northern Great Plain Region
181-187Views:116The role of retaining population in agriculture is stronger and more significant in the long run in the North Great Plain Region compared to other regions. The region has a significant processing industry along with a good basis for producing raw materials, developed food processing capicity and high quality agricultural products typical of the region. The GDP in agriculture, forestry and game management is somewhat higher than the national average.
Variety is of cardinal importance when establishing the quality of horticultural products and determining the product value. The Hungarian breeding results of apple, quince, apricot, cherry, raspberry, red and black currant are promising.
The regulation system of EU the vegetable and fruit market is based on Retail Cooperatives Producers. With the establishment of national vegetable- and fruit production and retail organizations, the market regulation, production and quality development issues of the sector can be handled and solved. Reaching EU standards in fruit production can only be achieved with up-to-date plantation systems and breed selection. A key issue in development is establishing the required financial resources for investments and updating production. In order to reach these standards, significant state subsidies and good credit conditions are needed. By solving these tasks, the sector is expected to become self-financed without government help.
The pursuit of safer production, improving quality and increasing yields require the establishment of up-to-date irrigation systems. The improvement of family farms, motivating land concentration is necessary for increasing average size of plants. Establishing the above mentioned conditions is important since the vegetable-fruit sector is of great significance in the employment of rurally based population, improving their living conditions and executing rural development programs. -
Different soil fertility conditions depending on different land use methods
169-172Views:104In precision nutrient management the most important aspect is adaptation but we should consider the possibility of the long-term improvement of soil fertility within the less fertile landscape zones. This possibility can be evaluated principally by long-term field experiments, which are running on similar soil types. The results of these field experiments can indicate that which soil fertility status should be attained. Some more important soil fertility data, (such as pH, P-, K- and soil organic matter (SOM) content) of a long-term field experiment with increasing farmyard manure(FYM) doses or equivalent NPK fertilizers, set up on an Eutric cambisol, are presented. The yieldincreasing capacity of FYM doses was only 82%, as compared to the equivalent amount of mineral NPK, but long-term FYM treatments resulted in 10% higher SOM content than that of equivalent NPK
fertilizer doses. The studies indicate that SOM content is a function of local climate and clay content of the soil, and neither long-term high FYM doses can increase SOM content steadily above a supposed steady-state value. However we have to make efforts to keep the optimum level. The lowest soil reactions developed both with the highest NPK doses and without any fertilization. AL-P2O5 content of soil was increased more by mineral fertilization than by FYM treatments, but in case of AL-K2O content there was no difference between the fertilization variants. However the highest doses of both fertilization variants increased soil nutrient content to an excessive degree. Wecould get very valuable data from the unfertilized control plots as well, where long-term yield data suppose 48 kg ha-1 year-1 air-borne N-input. -
Quality management and traceability in crop production
273-277Views:189Today, food safety and quality is an everyday issue. Scandals in the food industry drew attention to the role and responsibility of food producers in the food chain. The European Union has set up a new integrated approach towards food safety, to which Hungary as an EU member and export-oriented country has also joined. The new “from farm to fork” principle states that food and feed production cannot be handled separately, as only feed produced from good quality raw materials can ensure safe food products. Another important issue is the traceability of products, allowing for the localization and recall of the defected item. In Hungary, there have been different documentation systems for tracking and tracing products, such as the land register in crop production, animal register in the livestock sector and hygiene registers in the food industry. In order to meet EU requirements, there is a growing number of initiatives to include primary production in the scope of food safety standards. The study introduces and compares the various management systems used in crop production.
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The Effect of Tillage Treatments on Soil Temperature at Planting and on Corn (Zea mays L.) Yield
40-44Views:150The effect of soil temperature was evaluated on the yield of the Occitan corn hybrid at a depth of 5 cm. We examined this effect on the time required from planting to emergence for three average durations: five, ten and fifteen days, all calculated from the day of planting. Winter plowing (27 cm), spring plowing (23 cm), disc-till (12 cm) treatments and 120 kg N per hectare fertilizer were applied. As a result of our analysis, we determined the post planting optimum soil temperatures for various time periods. The average soil temperature for a time period of 15 days post planting is the most usable for determining actual yields, followed by ten days, with five days proved to be the least usable (winter plow R2 = 0.86, spring plow R2 = 0.87, disc-till R2 = 0.64).
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Creating potential agricultural clusters in the Northern Great Plain Region
63-67Views:108The crisis of the hungarian agricultre is continuous since the ’80s. The compensation is made a dual farm system, which has created barriers to efficient agricultural production. It is confirmed by the economic indexes as well. But the most important natural resources of our country is still the land. Over the past 20 years, the government was not able to work out strategic aims and adequate system for the hungarian agriculture. In the past three decades the clusters has become the most common tool in economic development worldwide. Clusters always base on some local knowledge, and a country can be competitive on the industry in which the resources are concentrated. So the question is, is it possible to „clusterize” the
agriculture and through this develop the rural economic. -
Consumption of fertilizers in districts of Slovakia in the period 2006–2015
389-398Views:184Consumption of fertilizers in districts of Slovakia in the period 2006–2015 Water quality in the surface streams is influenced by several factors. One of important information which can help us to solve problems with quality of water in water body is a distribution of point and non-point pollution sources in a river basin and also amount of pollutants released from them to surface streams. An example of a point source of pollution is the outlet from wastewater treatment plants (industry, urban areas, farms, etc.). On the other hand the most significant non-point source of pollution is considered the application of fertilizers in agriculture.
In this paper we have evaluated consumption of organic and industrial fertilizers in Slovakia in the period 2006–2015. Total (in tonnes) and average (in kg ha-1) consumption of industrial and organic fertilizers was analyzed. In monitored period, the amount of applied organic fertilizers was much higher than the amount of applied industrial fertilizers and in addition a significant part of total fertilizers consumption had nitrogenous fertilizers in a group of industrial fertilizers. In a group of industrial fertilizers during the period 2006–2015 we observed just moderately increasing in their consumption, while in the period 2010–2015 the average amount of applied industrial fertilizers per hectare of agricultural land increased by about 20 kg ha-1. On the other hand, in a group of organic fertilizers we observed a decreasing in consumption of fertilizers.
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Name Brands and Symbols Used Organic Products in the European Union and in Hungary
174-180Views:110In 2002, the area which was monitored according to the requirements of organic farming numbered 103 thousand hectares in Hungary (this is some 1.7% of all cultivated land) and almost 1000 plants producing organic products were inspected. It is a realistic assumption, when considering these data, that within a short period time the area used for organic farming will reach the optimal 600.000 hectares.
Contrary to overproduction in the EU – cereals, maize and other plants – organic products can be sold in unlimited quantities. Practice also indicates, that 90% of Hungarian certified organic products are sold in EU and Swiss markets.
Thus, it is important to label Hungarian products according to EU standards. This way standard quality products can be sold easier and by increasing their income, manufacturers can contribute to the improvement of the environment. -
The role of agriculture in regional development
25-30Views:287Agriculture is the leading national economic sector of Hajdú-Bihar county. The proportion of employees in this sector and the share of pro ducts produced in this region is above the country average. The contribution of agriculture to the GDP is 6.3%, as opposed to the average value of the country (3.3%). Based on their primary activity, 8% of the enterprises in the county are classified as agricultural and forestry companies, while this proportion is only 5.3% in the whole country.
Nearly three quarters (71.1%) of the sowing area is occupied by maize and other cereals, mainly wheat. This proportion is slightly more than the country average (69.2%). The proportional area of oil crops - including sunflower – and roughage is nearly the same as the country average. However, there is a significant difference in vegetable production. Due to the higher intensity of vegetable production, the area occupied by vegetables is three times the country average. 19.4% of the crop products, 23.5% of animal products and living animals, 25.8% of the income generated by production factors and 29.8% of net enterprise income of Hungary originates from the North Great Plain region.
The facilitation of creating local markets, e.g. local public food supply, satisfying the needs of food trade with local goods, the necessary awareness raising actions, secondary and higher education of experts, as well as the more specific and targeted utilisation of development resources are agricultural development tasks.
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Discussion of an Electronic Examination System in Agricultural HigherEducation
160-163Views:110The development of an internet based electronic examination system at the University of Debrecen Centre of Agricultural Sciences, Department of Land Cultivation and Regional Development was enforced by the dynamic increase in the recent years in the number of students participating in classes taught by the department staff. This paper covers the system’s historical background, the usability factors we were focused on during its development, and the experiences of the testing phase.
The findings of a questionnaire carried out among our students aimed to clarify the acceptance, expectations and fears of future users. -
Effects of the development of production factors on productivity
13-18Views:139In every economic sector, the enacted and expected quality of the products strongly affects its market entry and subsistence. The aim of management is success, competitiveness and subsistence that require adequate human and material resources and enough production stock. We must also notice that the quality of tools and instruments significantly influences work productivity. This applies to both plant production and animal husbandry.
The author researched milk production factors with methodical observation, document analysis and interviews. Data were collected with a ten-year interval, thus this assay can highlight the field, volume and sources of investments during this period and that the production stock increased in most farms and decreased in few. The data also shows the influence of investments on work productivity - there are differences between farms of equal size, so there are still ways of development.
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Differences in farmer’s information consumption and ICT-use – a qualitative research
91-98Views:149Farming has now been placed in a new framework: farm managers have had to increasingly devote attention to and interact with the external world. Numerous studies have showed that information and communication technologies (ICT) can play a vital role in realizing benefits with more effective information management at the farm level. Besides land, labour and capital, sufficient information has become a critical factor for agricultural producer. The article presents the findings of a focus-group research which aim was to discover the main characteristics of information consumption and ICT-adoption among Hungarian farmers.
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The effect of long-term fertilization on the 0.01 M CaCl2 extractable nutrient content of a meadow soil
73-79Views:108During my research, I studied the 0.01 M CaCl2 extractable NO3--N, NH4+-N, Norg, P and K contents of the soil samples originated from a long term fertilisation trial in the experimental site Hajdúböszörmény. Relationships among the soil nutrient contents, the agronomic nutrient balances of the 2009 year, and fertilization were studied.
From the results of the study it was concluded as follows:
– Fertilization significantly increased the CaCl2 extractable NO3--N, NH4+-N, and K contents of soil.
– Norg fraction increased as a function of the increasing yield. Hence, it can be assumed that the greater the produced yield, the more the stubble and root residues remain on the arable land. These organic residues can result significant increase in the Norg content of soils.
– The CaCl2 extractable P and K contents were compared with the calculated P and K limit values. According to these, the experimental soil has a good phosphorus and lower potassium supply capacity. These results are in accordance with the results of the conventional Hungarian fertilization recommendation system.
– It can be stated that the 0.01 M CaCl2 is able to determine not just inorganic N forms but Norg fraction as well that characterize the easily mineralizable nitrogen reserves. The results proved that AL-P and -K (ammonium lactate acetic acid, traditional Hungarian extractant) are in good agreement with the P and K reserves, but it is important from the aspect of environmental protection and plant nutrition to measure the easily soluble and exchangeable K-, and P-contents of soil. 0.01 M CaCl2 method is recommended for this. -
Effectivity indicators in the German agriculture from the 1990s till today
15-23Views:93Almost fifteen years have passed since the reunification of Germany. At the beginning of the 1990s, it was still unclear how the agricultural sector in the former East Germany would be able to survive, as it was still characterized by large scale farms, organized for a socialist economy. The course of this essay will look at how the agricultural productivity has changed the two different productivity systems in the western and eastern part of Germany.
Productivity can be defined as output produced per unit of input. If we define productivity indicator as output per one type of inputs then we get so-called partial productivity index, however, if we define productivity indicator as output produced per unit of more than one inputs we get multi-factor productivity.
In agriculture, the most often used partials productivity indexes are: labour, capital, land productivity and intermediate consumption productivity.
The analysis of total factor productivity requires the aggregation of all inputs by using input prices. -
Changes in toxic elements content of soil after sewage sludge treatment in energy willow plantation
7-10Views:165The primary purpose of our experiment was the solution of municipal excess sludge treatment by a renewable energy resource used willow (Salix viminalis L.) plantation. Tests were carried out to state whether the applied sewage sludge has caused any accumulation of the toxic elements in the studied soil layers, and - based on the results –to see whether the plantation is suitable for the treatment of municipal sewage sludge.
The excess sludge (sludge before dewatering) is beneficial for the willow, because it contains a 3–5% dry matter and therefore, a lot of water, too. This high water content ensures the high water amount needed for the intensive growth of the willow. On the other hand, the wastewater treatment plant can save the dewatering cost which corresponds to about 30% of the water treatment process costs. The amounts of the sprinkled sewage sludge were calculated on the basis of its total nitrogen content. Treatments were the followings: control, 170 N kg ha-1 year-1 and 250 N kg ha-1 year-1. The mean values of the toxic element concentrations in the sewage sludge did not cross the permitted limits of the land accommodating.The measured toxic element values of the soil were compared to the limits of the 50/2001. (IV.3.) Government Regulation.The sprinkled sewage sludge on the bases of the total N content did not cause accumulation of heavy metals in the soil and the treated plants were also healthy without any signs of toxicity.
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Nutritional disorders of arable crop growth in eastern Croatia
273-290Views:156Nutritional imbalances accompanied with growth retardation of crops at early growth stage were found since the last 40 years on certain arable lands in eastern Croatia. In this regard, phosphorus (P) deficiencies in maize and wheat were found mainly on acid soils of the western part of the region, potassium (K) deficiencies in maize, soybean on the hydromorphic neutral to alkaline calcaric drained gleysols of Sava valley lowland, while zinc (Zn) deficiencies were observed mainly in seed-maize and soybean on neutral calcaric eutric cambisols of the eastern part of the region. Cold and moist spring is factor promoting P deficiency symptoms. As oasis of normal crops existed on same arable land, comparison of plant and soil composition was possible from typical sites. P nutrition disorders were in connection with the lower P and the higher aluminum (Al) and iron (Fe) concentrations in the top of plants and the lower soil pH values. K-deficiency as result of strong K fixation and imbalances with high levels of magnesium (Mg) were the main responsible factors of low maize and soybean yields on some drained gleysols. Chlorosis incidences typical for Zn deficiency in maize and soybean were in close connection with the higher soil pH, the lower quantities of mobile Zn, here and there the higher mobile P in soil, the lower concentrations of Zn and the higher levels of Al and Fe in plants. Overcoming the above mentioned disorders and normalization of yields were achieved using ameliorative fertilization either by K or P fertilizers and in case of Zn by foliar spraying of crops with 0.75% ZnSO4 solution. Also, alleviations are possible by selection of more tolerant genotypes of field crops to specific types of nutritional disorders. From this aspect, some practical solutions were recommended for maize with reference to K nutritional problems.
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Possibilities of Corn Seed Commercialization on the Hungarian Market in 2003
166-169Views:107According to the sales results of the past two years we can draw the conclusion that although the Hungarian hybrids have very good capabilities, they are still in a big disadvantage in the corn seed sales sector, considering other foreign varieties. These above mentioned disadvantages, as published in prior essays, are not because of the variety’s low quality, but the lack or little presence of marketing. In order to gain position and market on the seed sales sector in Hungary, a lot more has to be done in the area of advertisement.
Seed advertising is very particular and different from all other types of goods. To make growers familiar with your product, you have to be in continuous contact with them, through field days, exhibitions and presentations, besides the well known and in other areas also used quotidian advertisement methods.
Although Hungarian breeders reach better and better results each year, they still cannot catch up with the multinational companies spending millions of dollars on development and advertising, thanks to their financial position.
Finally we can state that choosing the appropriate variety for our needs and possibilities of land and machinery is of great importance in order to reach the best results we can. -
Energy production systems of phototroph microorganisms (classification of photobioreactors)
35-39Views:77In the field of alternative energy sources there is an argue in the comparison of its effects on the benefits and disadvantages to the economics and the environment. New studies are born which are in contradiction with each other. The demand for bioenergy feedstock is growing rapidly however there are the environmental problems caused by the extending energy crop plantations. There is such a significant need for land to grow traditional energy crops on (rape, soy, palm-oil, sugarcane, etc.) that the food purpose agricultural capacity could be in danger. Probably the extensively
growing energy crops play a role in the very high prices of food. In some countries like China for example laws prohibit the use of food based crops such as corn for energie production. In the case of corn based ethanol production the cost only for the feedstock itself is over 60% of the whole preparation costs which significantly effects the entire economy of the energy productions process.
The microalgaes however have a huge biotechnological potential and their production is notably cheaper then the traditionaly grown food crops growing expenses. They play a significant role as feedstocks in todays industrial production in such fields as comestible production, cosmetics, pharmaceutics and biotechnology especially in biofule production. In the field of economy the major aspects here are also the technological designs
and the construction. For the future industrial production the closed type systems seem to have more advantages compared to the open, pond-type systems. For high value material production the more innovative and more easily developed closed photobioreactors are the profitable regardless the vast techological designs used in the construction. -
Comparative examination of the tillage systems of maize on meadow chernozem soil
21-24Views:205Maize production plays a major role in the agriculture of Hungary. Maize yields were very variable in Hungary in the last few decades. Unpredictable purchase prices, periodical overproduction, the increasing occurrence of weather extremities, the uncertain profit producing ability, the soil degradation processes (physical, chemical and biological degradation) and the high expenses are risk factors for producers. Due soil tillage, there is an opportunity to reduce these risks. Based on the experimental database of the Institute of Land Utilisation, Regional Development and Technology of the University of Debrecen, Centre for Agricultural and the KITE Plc., various cultivation systems were examined with maize (Zea mays L.) as indicator plant in Jász-Nagykun-Szolnok country in 2012 and 2013. The sample area can be found in the outskirts of Kenderes on a meadow chernozem soil. On the examined plot, strip-tillage, subsoiling and moldboard ploughing were performed, each on 4.5 ha, respectively.
In general, our findings show, that strip-tillage and subsoiling can be alternative tillage systems beside moldboard ploughing on meadow chernozem soils in Hungary.
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Baking quality of winter wheat (Triticum aestivum L.) in the long-term experiments on chernozem soil
152-156Views:106Agriculture has traditionally an important role in Hungarian economy and rural development. About 75 % of Hungary’s total territory
is under agricultural land use. Because of ecological conditions and production traditions cereals (wheat, maize etc) have the greatest
importance in Hungarian crop production. In the 1980’s the country-average yields of wheat were about 5,0-5,5 t ha-1 („industrial-like”
crop production-model). In the 1990’s the yields of wheat dropped to 4,0 t ha-1 because of low input-using and wide application of the issues
of environmental protection and sustainability. Winter wheat production for quality has a decisive role in certain regions of Hungary
(eastern and middle-parts).
The quality of wheat is complex and different. Three major growing factor groups determine the quality of winter wheat: genotype,
agroecological conditions and agrotechnical factors. In wheat production for quality the selection of the variety is the most important
element. Our long-term experiments proved that the quality traits of a variety means the highest (maximum) limit of quality which could not
be exceeded in fact. During the vegetation period of wheat the different ecological and agrotechnical factors could help or on the contrary
could demage the quality parameters of wheat.
The agrotechnical factors determining the baking quality of wheat can be divided into two groups: the first group means the factors with
direct effects on quality (fertilization, irrigation, harvest); the second group contains the elements with indirect effects on quality (crop
rotation, tillage, planting, crop protection).
Appropriate fertilization could help to manifest the maximum of quality parameters of a wheat genotype and could reduce the qualityfluctuation
in unfavourable ecological and agrotechnical conditions. -
Evaluation of Two Heat Sum Calculation Methods in Maize Production
156-159Views:97Maize production is of primary importance in Hungary, especially considering that its cultivation takes up one of the greatest ratios of land used for agricultural production. As a result, the number of farms where maize is not cultivated for either food production or foraging purposes is insignificant. For this reason, establishing economic production is of decisive importance when it comes to determining the efficiency of farms. Profitable maize production depends on a number of conditions, including the professional suitability of farmers, while some aspects of production are independent from these. Heat-sum calculations form a transition from this aspect, since temperatures ocuring during the growing season cannot be influenced by man. However, the method of calculation and evaluation and thus the tool to improve production is in the hands of the farmer. This scientific paper aims to give a general description of heat-sum calculation methods.