The southern highlands zone found on the latitude of 7˚ and 11.5˚S and longitudes of 30˚ and 38˚E (Figure 1). The zone occupies an area of 250,000 km² which is about 28% of the mainland area of Tanzania. The elevation from the sea level ranges from 400 and 3000 m. The region experience semi-arid condition in some parts of Iringa region to high rainfall in highland areas (more than 2500 mm of rain per year) with cool temperatures. The rainfall pattern is unimodal with a long rainy season (700 mm to over 2600 mm) from November to May with a dry and cool spell between June and September [13] . The soil has low fertility, highly weathered and frequently acidic. Normally, maize is planted between the ends of November and early of December and harvested between April and July, depending on the weather and the variety grown [14] . For the purposes of the study six (6) sites were bee selected, Ihumbu farm (−7.88, 35.8), Mwazye (−8.43, 31.71), Nyera Estate Mbozi (−9.16, 33.11), Santilya (−9.08, 33), Lupa Tinga Tinga (−8.01, 33.26) and Mbinga (−10.91, 35.0).

DSSAT crop simulation models in generally predict crop yield as a function of

weather conditions, soil conditions and crop management practices. The minimum daily weather data required running the DSSAT models which includes maximum and minimum temperature (˚C), rainfall (mm), and sunshine hours (hours/day) which were downloaded from the New_LocClim of Food and Agriculture Organisation. The New_locClim (an abbreviation for “Local Climate”), a software program and database, provides estimates of average climatic conditions at locations for which no observations are available. The sunshine hours (hours/day) were converted into solar radiation (MJm⁻² day⁻¹) by using Weatherman tool of DSSAT.

Soil characteristics data which includes clay fraction (%), silt fraction (%), stones fraction (%), organic carbon (%), CEC (Cation Exchange Capacity) (cmol/kg), pH (in water), horizon thickness (depth), surface characteristics such as soil color, Land slope, permeability, drainage class, and soil series name. These data were obtained from HWSD (Harmonized World Soil Database) which was created by the Food and Agriculture Organization of the United Nations and the International Institute for Applied Systems Analysis (IIASA) [15] . These organizations took the initiative of combining the recently collected vast volumes of regional and national updates of soil information with the information already contained within the 1:5,000,000 scales FAO-UNESCO Digital Soil Map of the World, into a new comprehensive HWSD.

The crop management data were obtained from the survey report, documented by [14] . These data includes crop cultivar, planting date, seedling rate (plant/hill), plant spacing (cm), row spacing (cm), and planting depth (cm). Others include fertilizer application (dates, amounts, type of material, and method of application), tillage/intercultural operations (dates, depth equipment used), organic fertilizer amendments (date, amount, type and method of application). The collected soil and weather data were for running the model were compiled and presented as shown in Table 1 and Figure 2 respectively.

The CERES-Maize model incorporated in DSSAT v4.5 was used for simulation. Simulation was done separately for each selected sites in all treatment combination (cultivar, spacing and nitrogen dose) making 75 runs. Cultivars more or less cultivated/available in that region are used in the simulation to determine their suitability to that particular region. For this purpose five varieties of maize were selected Kitumani Composite 1 (V1), H614 (V2), H626 (V3) H612 (V4) and H511 (V5). Planting date was set on 20 November where by Dry seed of Maize at the depth of 5 cm where planted at seed rate of 2 plants/hill. Spacing treatments used in the simulation are S1 (90 × 30 cm), S2 (60 × 30 cm) and S3 (90 × 50 cm). The number of plants at seedling and emergency by calculation was set 8 plants per m² and 7 plants per m² respectively at spacing one (S1) making the population of 70,000 plants per hectare. At spacing two (S2) and the same seed rate, the number plants at seedling was 12 plants per m² and at emergency was 11 plants

*CEC: Cation Exchange Capacity; *OC: Organic Carbon.

per m² which make the population of 110,000 plants per hectare. At spacing three (S3) and the same seed rate, the number plants at seedling was 4 plants per m² and at emergency was 4 plants per m² which make the population of 40,000 plants per hectare.

Varying nitrogen application from no nitrogen to 200 kg of nitrogen per hectare was used as treatments to study the effect of nitrogen on grain yields of maize for different cultivars. The nitrogen treatments used for yield simulation studies were N1 (0 kg/ha), N2 (50 kg/ha), N3 (100 kg/ha), N4 (150 kg/ha) and N5 (200 kg/ha). Half of the total nitrogen is applied at the time of sowing; the remaining amount is given just before the juvenile stage of the crop. Urea is used as nitrogen supplement in this simulation study and the depth of placement is 5 cm during basal application and banded on the surface during the second application. Genetic coefficients of the maize varieties used in the simulation pre-existed within the model hence the model generated the data on the growth and developmental parameters without specifying it in the input data. The harvesting date is simulated for the crop when 50% of the plants reach harvest maturity (GS006).

[16] explains that, an increase in grain yield of maize after application of Nitrogen is due to an increase in the number of ears per plant, increase in total dry matter distributed to the grain and increase in average ear weight. These plant characteristics tend to vary from one variety to another. The results from Table 2 show that, grain yield of all varieties tend to increase with the increasing rate of nitrogen, where by H614 variety followed by Kitumani composite I (KC I) respond faster than the other varieties (H612, H511 and H626). The overall mean grain yield in bracket of all varieties at spacing one (Sp 1) was H614 (4610.9 kg/ha), Kitumani Composite I (3998.7 kg/ha), H612 (2835.7 kg/ha), H511 (2231.6 kg/ha), and H626 (1673.3 kg/ha). The results are in agreement with [17] who found out positive response of different maize varieties on supply of nitrogen in increasing grain yield.

Grain yield is the results of genetic potential and environmental interaction. From the results (Table 2), grain yield differ from one location to another at a given maize variety. An example of maize cultivar H614 at spacing one (S1) and 0 kg N/ha, maximum yield was observed at Santilya (2684 kg/ha) and the minimum grain yield of 395 kg/ha at Mbinga. The results are supported by [18] who report that maize varieties significantly differed in yield at different locations. [19] also reports the same on response to maize variety to different environmental condition. Overall results show that highest yield was obtained from H614 (4610.9 kg/ha) followed by Kitumani Composite I (3998.7 kg/ha), H612 (2835.7 kg/ha), H511 (2231.6 kg/ha) and H626 (1673.3 kg/ha) at spacing one (S1) and H614 (4724.5 kg/ha) followed by Kitumani Composite I (3465.3 kg/ha), H612 (2288.7 kg/ha), H511 (2151.6 kg/ha) and H626 (1626.9 kg/ha) at spacing 2 (S2).

The effects of plant spacing on grain yield are also shown on Table 2. [20] has documented that, yield and yield component of corn are significantly affected by planting patterns, plant densities and maize hybrids. Corn hybrids respond differently to high plant density [21] . Plant density is a function of plant spacing on the field, the larger spacing results into low plant density per unit area. The overall results shows that the mean grain yield of all varieties was 3428.0 kg/ha in spacing one (S1) and 3169.2 kg/ha at spacing two (S2). Taking an example of

Kitumani composite I at 150 kg N/ha in Santilya, grain yield increase from 6366 kg/ha at Spacing two (S2) to 7642 kg/ha at spacing one (S1). The results are in accordance with [22] who reported that grain yield increase linearly with increasing plant density provided that there is no limitation of other production factors. [23] reports that grain yield increases until plant densities reach the optimum plant population per unit area.

The optimum N rate (needed to achieve maximum yield) is influenced by factors including soil type, tillage, irrigation, fertilizer timing and method, and crop yield potential. These factors, as well as the interaction of these factors, will vary greatly from one location to another in a given geographic region [24] . The effects of different rates of nitrogen on grain yield of different maize varieties are shown on Table 2. Generally the increasing of the rate of nitrogen application has positive effect on the grain yield of maize in all sites. The grain yield increases until reach the maximum and no further increase in addition of nitrogen. This may be attributed to the significant effect of nitrogen on chlorophyll formation, photosynthesis and assimilate production that resulted in optimum production of yield components which have direct bearing on the final grain yield. This is supported by [25] on the study of the effect of nitrogen in increasing grain yield. In an example of results from Ihumbu farm and Mwazye, for Kitumani Composite I variety at a spacing one (Sp1), the Grain yield increases significantly from 0 kg N/ha up to the rate of 150 kg N/ha. The following grain yield was obtained at Ihumbu farm, 2058, 3836, 7465 and 8117 kg/ha at the rate of 0, 50, 100 and 150 kg N/ha respectively. At Mwazye, 576, 2679, 4329 and 4959 kg/ha at the rate of 0, 50, 100 and 150 kg N/ha respectively was obtained. At further application of 200 kg N/ha the increase in Grain yield was insignificantly, 8117 kg/ha and 4092 kg/ha for Ihumbu farm and Mwazye respectively. This is supported by [26] who reported that the grain yield level off when the supply of nitrogen is beyond the optimum requirement.