Introduction

In India, monsoon rains have a significant bearing on agricultural productivity. Other than meeting the water requirement of the rainy season crops, the monsoon rains also determine the recharge of groundwater and harvesting of water in ponds for subsequent use for irrigating the post-rainy season crops. In Vertisols, water harvested in the ponds does not last long enough to provide irrigation for the entire growth period of post-rainy season crops because of losses by seepage through cracks and evaporation. Thus, limited availability of irrigation water is one of the major constraints to higher productivity of wheat in the Vertisols of Central India. The erratic distribution of rainfall in this region further aggravates the problem. Thus, there is a need for developing strategies for efficient utilization of water for higher crop yield.

In Vertisols, irrigation applied through surface flooding results in non-uniform distribution of water and fertilizer in the seed-zone because of preferential flow of water and the dissolved fertilizer through shrinkage cracks causing leaching loss of fertilizers (Smalling and Bouma 1992), which not only reduces the fertilizer use efficiency and crop yield but also leads to environmental pollution due to ground water contamination. Sprinkler irrigation may be a viable alternative to flood irrigation (Chen et al. 2002; Home et al. 2002) to address this water management problem. Beneficial effect of sprinkler irrigation over flood irrigation with respect to water saving and increase in water use efficiency has been reported by many workers (Verma and Shrivastava 1992; Home et al. 2002; Pawar et al. 2002). However, sprinkler irrigation is an energy intensive process because of low discharge rate than the flood irrigation, which requires the pump to run for longer period to apply a given amount of water. Furthermore, the resource-poor farmers of the third world countries cannot afford to own the sprinkler system, rather they can hire it from other farmers having this system. So, strategically, there is novel effort for combined use of irrigation methods (Manjunatha et al. 2000). Honglu et al. (1998) reported that an irrigation system with sprinkler in the early stages of maize and wheat and surface irrigation at the later stage was economically feasible and water efficient.

Yield of wheat under irrigated condition is a function of evapo-transpiration, which is usually reflected in the water use efficiency and water use pattern of the crop (Van Keulen 1975; Fischer 1979). The relationship between crop yield and seasonal evapo-transpiration in the form of evapo-transpiration production function (ETPF) has been reported as linear by some workers (Singh et al. 1979; Steiner et al. 1985; Hunsaker and Bucks 1987; Musick and Porter 1990; Hati et al. 2001). However, others have reported curvilinear ETPF (Ehlig and Le Mert 1976; Sharratt et al. 1980; Bandyopadhyay et al. 2004). Although yield–ET relationships have been widely used for irrigation management purpose in water-limited areas, they did not account for nutrient management and these are mostly based on conventional flood irrigation method. Therefore, there is need for a thorough understanding of the effect of irrigation methods on relationships between crop yield and evapo-transpiration and water use efficiency by wheat.

There is a significant interaction between nitrogen and water supply for their effect on wheat yield (Gajri et al. 1993; Hussain and Al-Jalaud 1995). However, the response of yield to N supply is strongly influenced by environmental conditions, especially the quantity and timing of water available to the crop (Hauck 1984). So there is a need for developing strategies for optimum utilization of water for achieving higher nitrogen use efficiency and crop yield. Nitrogen use efficiency by wheat is less in Vertisols due to losses of N by ammonia volatilization under high soil pH, leaching and denitrification. Efforts have been made by different workers to improve the nitrogen use efficiency in wheat through modified nitrogenous fertilizers, nitrification, urease inhibitors etc. Manipulation of timing of fertilizer application and method of irrigation may help in improving nitrogen use efficiency of wheat (Abourached et al. 2008). A number of experiments in winter cereals have shown that adjusting fertilizer rate and splitting of N fertilizer application are strategies to improve nitrogen use efficiency (Dilz 1988; Alcoz et al. 1993; Delogu et al. 1998; Lopez Bellido et al. 2005). Besides timing, placement of fertilizer N also influences the nitrogen use efficiency (Mahler et al. 1994). It has been reported that application of nitrogenous fertilizer before irrigation transports it to subsurface layer and results in higher nitrogen use efficiency and crop yield. However, in Vertisols, because of crack formation, farmers usually prefer to apply nitrogen fertilizers after irrigation to avoid the leaching loss of N through the cracks.

In this backdrop, the objective of the present investigation was to study the effect of different combinations of sprinkler and surface flooding on root growth, soil water extraction, crop yield, evapo-transpiration production functions and water and nitrogen use efficiency of wheat under limited water supply.

Materials and methods

Soil and climate

Field experiments were conducted during 2001–2005 in a Vertisol at the research farm of the Indian Institute of Soil Science, Bhopal (23°18′N, 77°24′E and 485 m above mean sea level), Madhya Pradesh, India. The region has a hot and subhumid climate with mean annual rainfall of 1,083 mm and mean annual potential evapo-transpiration of 1,400 mm. Much (88%) of the rainfall occurs during the four rainy months (June to September), but the distribution is quite erratic. The rainfall received during the last 3 years (827 mm in 2001, 761 mm in 2002, 863 mm in 2004) was much less than the mean annual rainfall of this region (1,083 mm), whereas there was 1,113 mm rainfall in 2003. Farmers in this region experienced water stress in the low rainfall years (2001, 2002 and 2004). The monthly rainfall for the five cropping years along with the 28 years average monthly rainfall have been depicted in Fig. 1. The soil of the experimental site was a deep Vertisol (Typic Haplustert) with clayey texture (52% clay) and bulk density of 1.34 Mg m−3 at 0.27 g g−1 soil water content. The moisture retentions at 0.033 and 1.5 Mpa were 40.6 and 25.6%, respectively, in the surface (0–15 cm) layer. The pH of the surface soil (1:2 soil/water ratio) was 7.5 with 5.2 g kg−1 soil organic carbon (Walkley and Black 1934), 0.3 dS m−1 electrical conductivity (1:2 soil/water ratio) and 46 cmol (p+) kg−1 cation exchange capacity. The soil was low in available N (Alkaline KMnO4 oxidizable N as per Subbiah and Asija 1956) (112 mg kg−1), exchangeable NH4-N being 15.5 kg ha−1 and exchangeable NO3-N being 25.3 kg ha−1 (Keeney and Nelson 1982) and available P (0.5 M NaHCO3 extractable P as per Olsen et al. 1954) (2.6 mg kg−1) and high in available K (1 M ammonium acetate extractable K as per Knudsen et al. 1982) (227 mg kg−1).

Fig. 1
figure 1

Distribution monthly rainfall during the years 2001–2005

Experimental details

The treatment consisted of five irrigation strategies with different combinations of sprinkler and flood irrigation at critical growth stages as main plot factors and two N application methods as subplot factors (Table 1). The factorial combination of treatments was laid out in a split plot design with four replications. The subplot size was 6 m × 6 m. Surface flood irrigation was supplied through HDPE pipes, while sprinkler irrigation was supplied through aluminum pipes with riser pipes (20 mm × 75 cm). The size of sprinkler nozzle was 3.17 mm × 2.38 mm (RIL 10, M/S Rungta Irrigations Ltd, Jabalpur, India) with a discharge rate of 3.6 lpm at a pressure of 0.35 kg cm−2. The diameter of spray was 9.5 m with precipitation rate of 5.6 mm h−1 at an area of 6 m × 6 m. The sprinkler spacing was maintained at 6 m × 6 m and irrigation was applied with 50% overlapping for uniform distribution of water in the plot. Sufficient buffer strip (6 m width) was left between the irrigation strips to avoid any error during water application.

Table 1 Description of the treatments used for the experiment

Although initially it was planned to apply 20 cm of water (Table 1), the amount of irrigation applied differed from year to year (Table 2) depending on the availability of water in the water harvesting pond to simulate the actual water crisis faced by the farmers of this region in these 4 years. In the 1st year (2001–2002), only 8-cm irrigation was supplied once before sowing, in the 2nd year (2002–2003), 14-cm irrigation was supplied up to the crown root initiation (CRI) stage, only in the 3rd year (2003–2004), 20-cm irrigation was supplied up to flowering stage, whereas in the 4th year (2004–2005), 14-cm irrigation was supplied up to maximum tillering stage as per the treatment (Table 1). All the plots received recommended basal dose of phosphorus and potassium (26.2 kg P ha−1 as single super phosphate and 33.3 kg K ha−1 as muriate of potash). Nitrogen was applied at 120 kg N ha−1 as urea as per treatment (Table 1).

Table 2 Year-wise application of irrigation water

Estimation of soil water storage, evapo-transpiration and water use efficiency

Soil water content in the profile was measured gravimetrically at regular intervals up to a depth of 90 cm at 15-cm increment. Seasonal evapo-transpiration (ET) was estimated using water balance approach,

$$ {\text{ET}} = P + I + {\text{Cp}} - {\text{Dp}} - {\text{Rf}} - \Updelta {\text{S}} $$
(1)

where P, precipitation; I, irrigation; Cp, contribution through capillary rise from groundwater; Dp, deep percolation; Rf, runoff; ∆S = Sf − Si, change in the soil water storage in the profile; where Si, soil water storage in the profile at sowing and Sf, soil water storage in the profile at harvest.

Since the depth of groundwater was very low (6–8 m), Cp was assumed negligible. Dp was considered negligible beyond 90 cm because of negligible changes in the soil moisture storage below 90 cm soil depth. There was no runoff (Rf) from the field as all the plots were provided with bunds. Thus,

$$ {\text{ET}} = P + I - \Updelta {\text{S}} . $$
(2)

Evapo-transpiration production function (ETPF), the linear relation between yield (Y) and seasonal evapo-transpiration was derived as

$$ Y = a + b \times {\text{ET}} $$
(3)

where a is the intercept and b is the slope of the ETPF.

Water use efficiency (WUE) was computed as

$$ {\text{WUE}} = {\frac{Y}{\text{ET}}} $$
(4)

where Y is the grain yield of wheat. Thus,

$$ {\text{WUE}} = b + {\frac{a}{\text{ET}}}. $$
(5)

Marginal water use efficiency (WUEm), the differentiation of the ETPF with respect to ET i.e., (dY/dET), was computed using the following formula (Liu et al. 2002)

$$ {\text{WUEm}} = {\text{d}}Y/{\text{dET}} = b $$
(6)

where b is the intercept of the WUE vs. 1/ET equation (Eq. 5).

The elasticity of water production function (Ewp) was computed using the following formulae (Liu et al. 2002)

$$ {\text{Ewp}} = {\frac{{{\text{d}}Y/Y}}{{{\text{dET}}/{\text{ET}}}}} = {\frac{{{\text{d}}Y/{\text{dET}}}}{{Y/{\text{ET}}}}} = {\frac{\text{WUEm}}{\text{WUE}}} = {\frac{{b \times {\text{ET}}}}{{a + b \times {\text{ET}}}}} $$
(7)

WUE will increase with ET if a < 0, decrease with increasing ET if a > 0, and equal to WUEm if a = 0.

According to Liu et al. (2002), when ET is equal to maximum ET (ETm)

$$ {\text{Ewp}} = {\text{Ky}} $$
(8)

where Ky = Yield response factor of Doorenbos and Kassam (1979) equation

$$ 1 - {\frac{Y}{{Y_{\text{m}} }}} = {\text{Ky}}\left( {1 - {\frac{\text{ET}}{\text{ETm}}}} \right). $$
(9)

Soil water extraction from different soil layers was computed as

$$ {\text{SWE}}_{i} = \sum\limits_{j = 1}^{k} {\Updelta w_{ij} } \times \rho_{i} \times z_{i} $$
(10)

where SWE i , soil water extraction from ith layer; ∆wij, change in the gravimetric water content of the ith layer at jth sampling interval; ρ i , bulk density of the ith layer; z i , depth of ith layer; and k, number of sampling intervals.

Total soil water extraction from the profile was computed as

$$ {\text{SWE}} = \sum\limits_{i = 1}^{n} {{\text{SWE}}_{i} } $$
(11)

where n is the number of layers in the profile.

Estimation of nitrogen use efficiency

After leaving the border rows of 1 m from all the four sides of the plot, the net plot was harvested manually. Then, representative plant samples were collected for N analysis. After processing, the grain and straw samples were analyzed for total N content using Kjeldhal method A.O.A.C (1970). Using the biomass and N concentration, the N uptake by grain and straw was estimated. These data were utilized to compute different nitrogen use efficiency parameters as follows:

$$ {\text{N}}\;{\text{uptake}}\;\left( {{\text{kg}}\;{\text{ha}}^{ - 1} } \right) = {\text{N}}\;{\text{concentration}}\;\left( \% \right) \times {\text{Biomass}}\;\left( {{\text{kg}}\;{\text{ha}}^{ - 1} } \right) $$
(12)
$$ {\text{N}}\;{\text{Harvest}}\;{\text{Index}}\; ( {\text{NHI)}} = {\frac{{{\text{N}}\;{\text{uptake}}\;{\text{by}}\;{\text{grain}}\;\left( {{\text{kg}}\;{\text{ha}}^{ - 1} } \right)}}{{{\text{Total}}\;{\text{N}}\;{\text{uptake}}\;{\text{by}}\;{\text{grain}}\;{\text{and}}\;{\text{straw}}\;\left( {{\text{kg}}\;{\text{ha}}^{ - 1} } \right)}}} $$
(13)
$$ {\text{N}}\;{\text{requirement}}\;\left( {{\text{NR,}}\;{\text{kg}}\;{\text{N}}\;{\text{uptake}}\; 1 0 0\;{\text{kg}}^{ - 1} \;{\text{grain}}} \right) = 1 0 0\times {\frac{{{\text{Total}}\;{\text{N}}\;{\text{uptake}}\;\left( {{\text{kg ha}}^{ - 1} } \right)}}{{{\text{Grain}}\;{\text{yield}}\;\left( {{\text{kg ha}}^{ - 1} } \right)}}} $$
(14)
$$ {\text{Partial}}\;{\text{factor}}\;{\text{productivity}}\;{\text{of}}\;{\text{N}}\; ( {\text{PFPN)}} = {\frac{{{\text{Grain}}\;{\text{yield}}\;\left( {{\text{kg}}\;{\text{ha}}^{ - 1} } \right)}}{{{\text{Total}}\;{\text{N}}\;{\text{applied}}\;\left( {{\text{kg}}\;{\text{ha}}^{ - 1} } \right)}}} $$
(15)
$$ {\text{N}}\;{\text{utilization}}\;{\text{efficiency}}\;\left( {{\text{NUtE,}}\;{\text{kg}}\;{\text{kg}}^{ - 1} } \right) = {\frac{{{\text{Grain}}\;{\text{yield}}\;\left( {{\text{kg}}\;{\text{ha}}^{ - 1} } \right)}}{{{\text{Total}}\;{\text{N}}\;{\text{uptake}}\;\left( {{\text{kg}}\;{\text{ha}}^{ - 1} } \right)}}}. $$
(16)

Root studies

Root samples were collected at the flowering stage of wheat using root sampling cores (6 cm height, 8.6 cm diameter) up to a depth of 30 cm. After thorough washing in the root washing system and staining with methylene blue staining agent, the root length was determined with a Delta T scanner and image analysis system (Delta-T Devices Ltd., Burwell, Cambridge, England).

The root length density (RLD) of a given layer was computed as

$$ {\text{RLD}}_{i} = L_{i} /V $$
(17)

where L i , length of roots collected from ith layer, V, volume of the sampling core.

The root mass density (RMD) of a given layer was computed using the oven dry weight of the root mass collected in the core samplers using the following formulae

$$ {\text{RMD}}_{i} = M_{i} /V $$
(18)

where M i , mass of roots collected from ith layer, V, volume of the sampling core.

Seedling emergence study

Seedling emergence parameters were determined by daily counting of the number of emerged seedlings in 1 m2 area with three replications until a constant value was attained.

The emergence rate index (ERI) was estimated following Bilbro and Wanjura (1982)

$$ {\text{ERI}} = \left( {{\text{No}}.\;{\text{of}}\;{\text{emerged}}\;{\text{plants}}/m} \right)/{\text{Mean}}\;{\text{emergence}}\;{\text{day}}\;\left( {\text{MED}} \right) $$
(19)

where

$$ {\text{MED }} = {{\sum\limits_{i}^{n} {NiDi} } \mathord{\left/ {\vphantom {{\sum\limits_{i}^{n} {NiDi} } {\sum\limits_{i}^{n} {Ni} }}} \right. \kern-\nulldelimiterspace} {\sum\limits_{i}^{n} {Ni} }} $$
(20)

N i is the number of plants emerged in any particular day (Di), and Di is the number of days after sowing.

Statistical analysis

All the data were statistically analyzed using analysis of variance (ANOVA) as applicable to split plot design (Gomez and Gomez 1984). The significance of the treatment effects was determined using F-test, and the difference between the means was estimated by using least significance difference and Duncan’s multiple range test at 5% probability level. Regression analyses were determined using the data analysis tool pack of MS excel.

Results and discussion

Seedling emergence under different methods of irrigation

Flood-irrigated plots (I5) had lower plant population and emergence rate index than sprinkler-irrigated plots (Table 3). This may be attributed to uniform wetting of seed zone under sprinkler irrigation, whereas under flood irrigation, there was chance of non-uniform wetting of seed zone due to preferential flow of water through shrinkage cracks (Smalling and Bouma 1992). Mean emergence day (MED), the time taken for complete emergence, was lowest in I4 during 2002–2003 and 2003–2004 and in I2 during 2004–2005. The emergence rate index (ERI) was highest in I4 during 2002–2003 and 2003–2004, whereas during the year 2004–2005, the highest ERI was recorded in I1. However, in all the years of study, the lowest ERI was recorded in I5. There was no significant difference among the nitrogen treatments with respect to seedling emergence.

Table 3 Effect of methods and scheduling of irrigation on seedling emergence parameters of wheat

Root growth under different methods of irrigation

Irrespective of the treatments, the maximum root length density (RLD) and root mass density (RMD) of wheat occurred in the 0–15 cm soil layer, and there was decline in the RLD and RMD with depth (Fig. 2a, b). The reduction in the RLD with depth was less than that in RMD. This implies that the length/mass ratio of wheat roots increased more in lower soil layers than in upper layers. Hence, mostly finer roots were found in the lower soil layers. The RLD and RMD of wheat under sprinkler irrigation were higher than that of flood irrigation (I5) treatment. In the plough layer (0–15 cm), the maximum RLD and RMD were recorded under I1. This may be attributed to frequent and light irrigation under this treatment, which resulted in higher soil moisture storage for longer period of time.

Fig. 2
figure 2

a Root length density and b Root mass density of wheat at peak flowering stage during the year 2004–2005 as influenced by methods of irrigation. The error bars wherever present indicate the least significant difference at P < 0.05

Soil water dynamics and soil water extraction

Temporal variations in the soil water storage in the profile (0–90 cm) for the 4 years (2001–2005) are presented in Fig. 3. The numbers of irrigations are reflected in terms of numbers of peaks in soil moisture storage observed during the crop growth period. The difference in soil water storage in the profile due to irrigation was not significant for the same amount and frequency of irrigation. However, when soil water storage of the surface layer (0–15 cm) was compared, relatively higher storage was recorded in I4 (Fig. 4). This was attributed to the fact that unlike other treatments, the soil was not ploughed for sowing following irrigation in I4 treatment as irrigation was supplied immediately after dry sowing. So the evaporation loss of water was expected to be low in this treatment than other irrigation treatments.

Fig. 3
figure 3

Temporal variation in the soil water storage in the profile (0–90 cm) during wheat growth in different years as influenced by the methods of irrigation

Fig. 4
figure 4

Temporal variation in the soil water storage in the plough layer (0–15 cm) during wheat growth in different years as influenced by the methods of irrigation

The maximum soil water extraction by wheat occurred in the 0–30 cm soil depth, irrespective of the method of irrigation (Fig. 5). Below this depth, the soil water extraction gradually decreased. Increased surface evaporation, shallow root density and more water uptake by the crops from the surface layer due to availability of irrigation water and presence of active roots in the surface layer may be the possible reason for the decline in soil water extraction at lower depths (Hati et al. 2001). The soil moisture extraction from 0–30 cm soil depth under sprinkler irrigation or combination of sprinkler and flood irrigation was significantly higher than the flood irrigation treatment.

Fig. 5
figure 5

Soil water extraction by wheat in different years as influenced by different methods of irrigation. The error bars wherever present indicate least significant difference at P < 0.05

Yield of wheat

Across the years, the crop yield increased with the increase in levels of irrigation (Table 4). When wheat was grown with only one irrigation at sowing (2001–2002) or two irrigations up to the crown root initiation (CRI) stage (2002–2003), dry sowing of wheat followed by sprinkler irrigation and subsequent irrigation through flooding at CRI (I4) gave the highest grain yield of wheat (Table 4). This may be attributed to the fact that under I4 treatment, higher soil water storage was maintained in the profile up to CRI stage because of lower evaporation loss from the profile as the soil was not opened for sowing after irrigation. In the 3rd (2003–2004) and 4th (2004–2005) years, 20-cm irrigation up to the flowering stage or 14-cm irrigation up to the tillering stage through sprinkler in 4 and 3 installments, respectively, (I1) gave the highest grain yield, which was significantly higher than the treatment where same amount of irrigation was applied through sprinkler (I2) or flooding (I5) in 3 and 2 installments, respectively. This finding confirms the superiority of light and frequent irrigation over heavy and infrequent irrigation (Gajri et al. 1993). There was no significant difference in the grain yield between sprinkler irrigation alone (I2) and sprinkler at presowing followed by flood irrigation (I3), when the same amount of water was applied at the same growth stages. This implies that combination of sprinkler and flooding treatment can be practiced in this soil, which will help in conserving energy. The straw yield of wheat followed a similar trend as grain yield of wheat. The harvest index increased with the increase in the water supply (Table 5).

Table 4 Grain and straw yield of wheat as influenced by irrigation schedule and N application methods under limited water supply
Table 5 Effect of irrigation scheduling and N application methods on harvest index of wheat under limited water supply

The N application methods and the interaction of irrigation and N application methods were not significant on the grain and straw yield of wheat. This may be attributed to the fact that N applied after irrigation (N2) might have been subjected to volatilization loss as ammonia because of high pH of this soil (Alcoz et al. 1993). So the advantage of split application of N (N2) over basal application (N1) could not be realized. No improvement in crop response due to split application of N under rainfed and water-stressed condition has also been reported by Benfield et al. (1981), Grant et al. (1985) and Arregui and Quemada (2008). In practice, the effects of split doses are not easily predictable because they can be biased by (1) number of applications, their timing and quantities (Mahler et al. 1994), (2) the weather conditions during the season that influence leaching, volatilization and crop growth (Alcoz et al. 1993) and (3) the mineral nitrogen amount present in the soil at the time of fertilizer application (Sowers et al. 1994).

Seasonal evapo-transpiration and water use efficiency

With the increase in the amount of irrigation application, the seasonal evapo-transpiration increased and maximum seasonal evapo-transpiration was recorded during the year 2003–2004 when 20-cm irrigation was applied (Fig. 6; Table 6). During the years 2003–2004 and 2004–2005, the maximum seasonal ET was recorded in I1, whereas during the year 2002–2003, the maximum seasonal ET was recorded in I4. However, during the year 2001–2002, there was no significant difference in the seasonal ET among the irrigation treatments. The effect of nitrogen management on seasonal ET was not significant in all the 4 years of study.

Fig. 6
figure 6

Water balance components under different methods of irrigation in different years

Table 6 Effect of irrigation scheduling and N application methods on seasonal evapo-transpiration of wheat under limited water supply

Except in the year 2002–2003, sprinkler irrigation (I2) or combination of sprinkler and flood irrigation (I3 or I4) registered significantly higher water use efficiency over flood irrigation system (I5) for the same amount and frequency of irrigation in the rest 3 years (Table 7). During the year 2001–2002 and 2002–2003, the maximum WUE was recorded in I4, whereas during the year 2003–2004, the maximum WUE was recorded in I2, and in the year 2004–2005, the maximum WUE was observed in I1. This was attributed to uniform water application, better root proliferation, higher soil water extraction recorded in sprinkler-irrigated plots than flood-irrigated plots. The superiority of sprinkler irrigation over flood irrigation with respect to higher water use efficiency has been reported by Verma and Shrivastava (1992), Malik et al. (1987) and Ghani et al. (2001) in wheat, Home et al. (2002) in okra, Pawar et al. (2002) in potato and El Yazal et al. (1998) in cotton. There is also report that compared to surface flooding; sprinkler irrigation system improves physical property of soil, which might have contributed to higher water use efficiency in this irrigation system. Grazy et al. (1989) reported that there was improvement in the water stable aggregates under micro sprinkler irrigation than flood irrigation. Khan (1988) observed that in Vertisols, drying after surface irrigation resulted in 2–3 times wide and 0.5–1 m deep cracks compared to sprinkler irrigation, where only a few fine cracks were found.

Table 7 Effect of irrigation scheduling and N application methods on water use efficiency of wheat under limited water supply

The N application methods and the interaction of irrigation and N application method were not significant on the water use efficiency of wheat in all the 4 years of study.

Marginal analysis of evapo-transpiration production function

The grain yield of wheat vs. ET relationships, the evapo-transpiration production function (ETPF), across the years were linear in the present study (Fig. 7). It was observed that 77–96% variation in crop yield could be explained by variation in ET (Table 8). The slope of the ETPF, the marginal water use efficiency (WUEm), was maximum for I5 and minimum for I1. With the increase in the ET by 1 mm, the grain yield of wheat increased by 13–23 kg. Zhang and Oweis (1999) and Steiner et al. (1985) also observed an increase in grain yield of wheat by 6.8–10.8 kg ha−1 per mm increase in ET. The intercept of the ETPF (a) is less than 0 in all the treatments indicating increase in WUE with the increase in ET (Liu et al. 2002). The elasticity of water production function (Ewp) was greater than 1 in all the treatments (Table 8). The maximum Ewp was recorded in I5 and the minimum value was recorded in I1. The yield response factor (Ky) of Doorenbos and Kassam (1979) was estimated from the ETPF and the maximum value of Ky (1.39) was recorded in I5 and the minimum value (0.94) was recorded in I1. Probably because of lower yield level in I5 the Ky and Ewp were higher in this treatment.

Fig. 7
figure 7

Evapo-transpiration production functions of wheat under different irrigation methods; ** indicate significant at P < 0.01

Table 8 Crop water production functions of wheat under different methods of irrigation

Nitrogen uptake and nitrogen use efficiency by wheat

The N uptake by wheat grain and straw followed the trend similar to the grain yield of crop (Table 9). With the same amount and frequency of irrigation, the flood-irrigated plots (I5) registered significantly lower N uptake than sprinkler-irrigated (I2) or combination of sprinkler- and flood-irrigated (I3 and I4) plots in all the 4 years of study (Table 9). During the year 2003–2004 and 2004–2005, the highest N uptake was registered in I1, whereas during the year 2002–2003, the highest N uptake was registered in I4, and during the year 2001–2002, the highest N uptake was recorded in I3. This increase in N uptake is mainly attributed to increase in biomass production. The effect of N application method on N uptake by wheat was not significant as the biomass was not significantly influenced by the split application of N.

Table 9 Nitrogen uptake by wheat grain and straw as influenced by irrigation scheduling and N application methods under limited water supply

Across the years, the nitrogen harvest index (NHI), i.e., proportion of nitrogen uptake in grain, increased from 68.7 to 74.9% in 2001–2002 to 78.9 to 86.5% in 2003–2004 due to increase in water supply (Table 10). The maximum NHI was recorded in I5, and the minimum value was recorded in I3 in all the years except in 2001–2002. In the year 2001–2002, the maximum NHI was recorded in I1. Lopez Bellido et al. (2006) reported that NHI was significantly affected by year, and the highest value was recorded with lowest biomass and grain yield.

Table 10 Nitrogen requirement and Nitrogen harvest index of wheat as influenced by irrigation scheduling and N application the methods under limited water supply

The nitrogen requirement (NR) i.e., kg N uptake to produce 100 kg of wheat grain decreased in 2003–2004 (from 1.61 to 2.03) compared to 2001–2002 (from 1.93 to 2.16) due to increase in water supply (Table 10). Under the flood irrigation system (I5), the nitrogen requirement was less than the sprinkler irrigation (I1, I2) or combination of sprinkler and flood irrigation system (I3, I4).

Across the years, similar to crop yield, the partial factor productivity of N (PFPN) i.e., kg grain produced per kg N applied, increased with the increase in the levels of water supply from 6.4 to 12.3 kg grain kg−1 N application in 2001–2002 to 35.4–42.1 kg grain kg−1 N application in 2003–2004 (Table 11). Except the year 2002–2003, the minimum PFPN was recorded in I5 in the rest 3 years of study. In the year 2002–2003, the minimum PFPN was recorded in I1. During the year 2002–2003, the maximum PFPN was recorded in I4, and in the year 2001–2002, the maximum PFPN was observed in I3, which was at par with I2 and I4, whereas during the year 2003–2004 and 2004–2005, the maximum PFPN was recorded in I1.

Table 11 Partial factor productivity of nitrogen and nitrogen utilization efficiency of wheat as influenced by irrigation scheduling and N application methods under limited water supply

The nitrogen utilization efficiency (NUtE), i.e., kg grain produced per kg N uptake, followed the reverse trend as that of PFPN (Table 11). Across the years, the NUtE increased from 46.2 to 51.6 kg grain kg−1 N uptake in 2001–2002 to 79.8 to 86.5 kg grain kg−1 N uptake in 2003–2004. The maximum value of NUtE was recorded in I5, and the minimum value of NUtE was recorded in I1 in all the 4 years of study. Lopez Bellido et al. (2006) also reported that the behavior of NUtE was erratic, and the highest value was recorded with zero N treatment.

There was no significant difference in the nitrogen application methods with respect to the nitrogen use efficiency parameters in all the 4 years of study. This may be attributed to the fact that biomass and grain yield of wheat was not significantly influenced by the N application methods.

Thus, from this study, it may concluded that, under limited water supply, when irrigation water is available up to the crown root initiation stage, farmers may follow dry sowing of wheat followed by sprinkler irrigation and subsequent irrigation through flooding, and when irrigation water is available up to the tillering or flowering stage, sprinkler irrigation in three or four installments, respectively, at critical growth stages may be practiced to obtain higher yield and water and nitrogen use efficiency of wheat in Vertisols.