Influence of irrigation regimes on competition indexes of winter and summer intercropping system under semi-arid regions of Pakistan

An assessment of the competitive indexes in intercropping of different winter and summer based intercropping systems were studied, with the aim of increasing the productivity of these crops. Four winter crops, wheat (Triticum aestivum L.), barley (Hordeum vulgare L.), fababean (Vicia faba) and rapeseed (Brassica napus) and four summer crops, sorghum (Sorghum bicolor L.), pearl millet (Pennisetum typhoidum L.), pigeonpea (Cajanus cajan L.) and mungbean (Vigna radiate L.) were grown under two irrigation regimes with the pattern of two crops in each intercropping system, at Agronomy Research Farm, The University of Agriculture, Peshawar, Pakistan in both winter and summer season during 2015–16 to 2016–17. The results showed that higher grain yield (kg ha−1) were recorded under sole cropping than intercropping. Higher grain yield was recorded in sole cropping, for all four crops. All crops grown in intercropping produced comparatively higher grains head−1 and seeds pod−1 than sole crop except pigeonpea. Intercropping systems were performed different in term of competition indexes which determined land utilization efficiency. Competition indexes revealed that in winter season wheat intercropped with fababean showed highest advantages of intercropping in term of land equivalent ratio (30%), relative crowding co-efficient (60%), actual yield loss (60%), area time equivalent ratio (27%), land utilization efficiency (83%), intercropping advantages (1060), monetary advantage index (Pakistani rupees (PKR) 46456) and system productivity index (3684) while in summer sorghum/pearl millet intercropped with pigeonpea was the most dominant intercropping systems in term of relative crowding co-Efficient (40%), actual yield loss (50%), land utilization efficiency (60%) intercropping advantages (1150) and system productivity index (1914). Aggressivity and competition ratio showed that cereals especially barley in winter and sorghum in summer season was highly competitive crops in the intercropping system. Most of the competition indexes values were higher for winter crops under limited irrigated condition while in case of summer crops intercropping indexes were higher under full irrigated condition. It was concluded that wheat intercropped with fababean, and sorghum/millet intercropped with mung bean was the most successful intercropping systems in winter and summer seasons, respectively under both irrigation regimes, for the semiarid region of Pakistan.

Intercropping is an attractive and simple practice which improving crop yield by increasing total productivity of crop per unit area per unit time 29 . Additionally, intercropping reduced weed density and improving plant health by reducing disease incidence 30 . During intercropping designing crop nutrients uptake mechanism is very important as sharing the same soil and environmental resources 31,32 . In case of legumes and non-legumes intercropping system, atmospheric nitrogen can be fixed by rhizobia bacteria present in legume nodules while nonlegumes relay only on soil nitrogen 2,33,34 . Intercropping of legumes with cereal crops can improve crop yield and growth by the using same available resources, intercropping increase available crop productivity as compared to each sole cropping 2,33,35,36 also reported intercropping advantages over monocropping.
Drought is a significant limiting factor for agricultural productivity and generally inhibits plant growth through reduced water absorption and nutrient uptake. Decreased water availability generally results in reduced growth and final yield in crop plants. However, plant species in a mixed cropping system may vary in their responses to growth under water stress because water availability is known to be spatially heterogeneous distributed in time and space 37,38 . The current challenge in agriculture is to produce more yields by utilizing less water, especially in regions with limited land and water resources 39 . Efficient irrigation systems require the selection of an appropriate method for the crop growth, adequate monitoring of the irrigation system and of water delivery and appropriate application rates depending on the growth stage of the crop. Irrigation requirements differ depending on the locations, soil types and cultural practices 40 .
To describe the efficiency of an intercropping system researchers have developed many mathematical formulas to calculate the intercropping possible advantages, and to describe the intra and inter specific competition among or between components crop of an intercropping system. Among these formulas land equivalent ratio (LER) 41 , aggressivity (A) 42 , competition ratio 43 , area time equivalent ratio (ATER), Relative crowding coefficient (RCC) 44 , actual yield loss 45 , intercropping advantages 45 and land utilization efficiency (LUE) are the most important 19,46 . These mathematical expressions help the researchers to interprets, display and summaries their result from an intercropping system. The indexes can help to showed different aspects of competition in plant communities, including competitive effects, competition intensity and outcome of competition 20 .
The effect of different irrigation on competition indexes of intercropping is not fully explored so far. Therefore, the study being reported in this manuscript was envisaged and performed under different irrigation regimes (full and limited irrigation) for knowing its effect on four winter crops like wheat (Triticum aestivum L.), barley (Hordeum vulgare L.), fababean (Vicia faba) and Rapeseed (Brassica napus) as winter crops and four summer crops like sorghum (Sorghum bicolor L.), pearl millet (Pennisetum typhoidum L.), pigeonpea (Cajanus cajan L.) and mungbean (Vigna radiate L.) under the semiarid region of Peshawar, Pakistan, for two consecutive years. The aim of the study was to evaluate the effect of irrigation regimes on different competition indexes of winter and summer intercropping system.

Materials and Methods
Field experiment. A two years field experiment was conducted during 2015-16 and 2016-17 at the Agronomy Research Farm, University of Agriculture, Peshawar. The experimental site has continental climate and is located at 34°27′12.46″N latitude and 71°27′56.4″E longitude with altitude of 359 m above sea level. Two adjacent fields were used separated by one meter viz. one under limited irrigation and the second one under full irrigation, both fields had similar physiochemical properties. The experiment under each irrigation regimes was conducted in randomized complete block design (combined over irrigation) having four replications. A sub plot size of 4 m × 4 m was used. Each plot was separate by 0.5 m earthen band to prevent the flow of water and mobile nutrients to nearby plots. A recommended rate basal dose of nitrogen and phosphorus for cereal is 120, 60 kg ha −1 while in case of legumes 30, 60 kg ha −1 N and P, were used, respectively. DAP was used as source of phosphorus and nitrogen, while the remaining nitrogen was applied through urea. In case of fababean, rapeseed, mungbean and pigeonpea all N (30 kg ha −1 ) was applied at sowing time, while for cereal crops nitrogen was applied in two equal splits (60 kg ha −1 at sowing time and 60 kg ha −1 at tillering stage). Phosphorus at the rate of 60 kg P ha −1 in the form of DAP was applied. Adjustment of N and P from DAP and urea were made. The required phosphorus was applied at the time of seedbed preparation. All other agronomic practices were kept normal and uniform for all the treatments. Physiochemical properties of the experimental site are given in Table 1. The treatments application and other standard agronomic practices detail are given in Table 2.  Table 1. Pre-sowing physiochemical properties of experimental site.
1. Limited irrigation: only one irrigation (75 mm) was applied at booting stage of wheat to the winter crops, while in case of summer crops irrigations were given at pre-sowing and at anthesis stage of pearl millet. 2. Full irrigation: three irrigations, at tillering (95 mm), jointing (92 mm) and booting stage (75 mm) of wheat were applied to the winter crops, while in case of summer crops irrigation was applied at pre-sowing, stem elongation, anthesis and dough stage of pearl millet.
To calculate the amount of water applied at each irrigation "Float cut method" of Misra and Ahmad 47   Data were recorded on the following parameters. Grains head −1 and seeds pod −1 . Grains head −1 and seeds pod −1 were recorded by selecting five heads in cereals and ten pods in legumes in each treatments and grains were counted and then averaged.
Thousand grains/seeds weight (g). For thousand grains/seeds weight data; after threshing, thousand grains were counted from each plot of each crop and weighed with the help of electronic balance.
Grain yield (kg ha −1 ). The weighted harvested three central rows were sun dried, threshed, cleaned and weighed, and then weight were converted into kg ha −1 using the following formula.

Grain yield kg ha
Grain yield in three central rows in each plot Row row distance row length number of rows . Aggressivity (A) indicates the relative yield increase in "a" crop is greater than of "b" crop in an intercropping system. The aggressivity can be derived from the following formula 42 : Similarly, Aggressivity of intercrops can also be calculated by the formula 42 : Where Y ab is the yield of main crop in intercropping and Y ba is the yield of intercrop crop and proportion of intercrop in intercropping.  Table 3. Effect of different intercropping systems and irrigations on grains spike −1 or seeds/pod −1 , 1000 grains/ seeds weight (g) and grain/seed yield (kg ha −1 ) of wheat, barley, fababean and rapeseed, respectively. Note; ns stand for statistically non-significant at 5% probability.
www.nature.com/scientificreports www.nature.com/scientificreports/ Competition ratio (CR). The CR simply represents the ratio of individual land equivalent ratio (PLER) of the component crops and takes into account the proportion of the crops in which they were sown. In case of 1:1 43

CR main crop (PLER main crop/PLER intercrops) CR intercrops (PLER intercrops/PLER main crop)
Relative crowding coefficient (K). The K is the measure of relative dominance of one species over the other in intercropping. For 1:1 pattern K was calculated as 44 : Where Yab stand for grain yield of main crop in intercropping, Yba is the yield of intercrop in intercropping, Yaa is the yield of main crop in monocropping and Ybb is the yield of intercrop in monocropping. When the K value of the system is higher than one, there is a yield advantage, if the value of K is one there is no yield advantage and if less than one there is no yield advantage and the system has disadvantage 44 .  Actual yield loss (AYL). The AYL is the proportionate yield loss or gain of intercrops in comparison to the corresponding sole crop. In addition, partial AYL (main crops) and AYL (intercrops) represent the proportionate yield loss or gain of each species in intercropping compared to their yield in sole crops. The negative or positive values of AYL indicate the advantage or disadvantage of the intercropping 21 . AYL was calculated by using the following formula 21 . Where Yab, Zaa and Yba, Zbb, stands for grain yield of main crop and the ratio in which it was sown and the grain yield of intercrop and the ratio in which was sown in intercropping, respectively 21 .
Area time equivalent ratio (ATER). ATER provides more realistic comparison of the yield advantage of intercropping over monocropping in terms of time taken by component crops in the intercropping systems. ATER was calculated using the following formula 43 :  Table 4. Effect of different intercropping systems and irrigations on grains/seeds head −1 /pod −1 , 1000 grains/ seeds weight (g) and grain/seed yield (kg ha −1 ) of pearl millet, sorghum, pigeonpea and mungbean, respectively. Note; ns stand for statistically non-significant at 5% probability. The higher the MAI value the more gainful is the cropping system 19 .
Intercropping advantages (IA). IA is the advantages or disadvantages of intercropping system depending on the sign of value, positive value mean advantages and vice versa. IA can be calculated by the following formula.
In this equation, P a is the price of species a, Pb is the price of species b, AYL a is the partial actual yield loss or gain of species a and AYL b is the partial actual yield loss or gain of species b.
Land utilization efficiency (LUE). By   www.nature.com/scientificreports www.nature.com/scientificreports/ System productivity index (SPI). SPI is another pointer used to assess intercropping that standardizes the yield of the secondary crop in terms of the primary crop and is calculated as follow by 49  Statistical analysis. Experiments were carried out for two years. However, year has no significant effect on competitive indices and yield of crop. Thus, the data of both years were combined for statistical analysis. Mean values were calculated for each of the competitive indices with respect to irrigation and intercropping system. Data were subjected to analysis of variance (ANOVA) according to the methods described in Steel and Torrie 50 and treatment means were compared using the least significant difference (LSD) at P ≤ 0.05.

Results
Grains spike −1 , 1000 grains weight (g) and grain yield of wheat (kg ha −1 ). Data regarding grains spike −1 , 1000 grains weight (TGW) and grain yield of wheat are presented in Table 3. Both irrigation and intercropping system and their interactive effect were significantly affected 1000 grains weight and grain yield of wheat. Maximum TGW and grain yield were recorded under full irrigated regime as compared with limited irrigation regime while number of grains spike −1 was not significantly affected by irrigation however under full irrigated regimes produced higher grains spike −1 . In case of intercropping system higher grains spike −1 and TGW were recorded when wheat intercropped with fababean followed by wheat intercropped with rapeseed. Higher grain yield was recorded for wheat when grown as sole crop followed by wheat intercropped with fababean. Interactive effect of different irrigations regimes and intercropping system showed that wheat intercropped with fababean showed the most productive intercropping system in term of grains spike −1 , TGW and grain yield ( Fig. 1a-c) in wheat crop.
Grains spike −1 , 1000 grains weight (g) and grain yield of barley (kg ha −1 ). Data concerning grains spike −1 , TGW and grain yield of barley are shown in Table 3. Data showed that intercropping was significantly affected grains spike −1 , TGW and grain yield. TWG and grain yield were also significantly affected by different  www.nature.com/scientificreports www.nature.com/scientificreports/ irrigation regimes while grains spike −1 was not significantly affected. Among different intercropping system higher grains spike −1 and TGW were recorded in case of wheat intercropped with fababean while minimum grains spike −1 were recorded when wheat intercropped with barley. Higher grain yield was recorded in case of sole barley followed by barely intercropped with wheat. Interactive effect of different intercropping system and irrigation regimes showed that highest grain yield was recorded when barley was grown as sole crop followed by barely intercropped with fababean under full irrigated regime (Fig. 1d).
Seeds pod −1 , 1000 seeds weight (g) and seed yield of fababean. Seeds pod −1 and seed yield were significantly affected by intercropping system while TGW was not statistically different (Table 3). Different irrigations regimes significantly affected grains pod −1 , TGW and grain yield. Greater number of seeds pod −1 , TGW and seed yield were recorded for full irrigated regime. Maximum seeds pod −1 were recorded for fababean intercropped with wheat which was statistically similar with intercropping of fababean with barley and sole fababean. Interactive effect of moisture regimes and intercropping for grain yield was found significant (Fig. 1e).
Grains pod −1 , 1000 grain weight (g) and grain yield of rapeseed. Data regarding pod plant −1 and grain yield of rapeseed was significantly affected by intercropping system and irrigation regimes (Table 3). Under full irrigation regime maximum grains pod −1 , TWG and grain yield were produced as compared with limited irrigated regime. In case of intercropping system, maximum number of pods plant −1 were recorded for sole rapeseed crop followed by rapeseed intercropped with wheat and fababean, while minimum pods plant −1 were recorded when rapeseed intercropped with barley. Highest grain yield was recorded for sole rapeseed followed by rapeseed intercropped with wheat and fababean, respectively. Irrigation regimes and intercropping interaction had significantly affected grain yield of barley, higher grain yield was produced in intercropping system of rapeseed and fababean under full irrigated regime (Fig. 1f).
Grains pod −1 and seeds head −1 , 1000 grains/seeds weight (TGW/TSW) and grain yield of sorghum and pearl millet, and seed yield −1 of pigeonpea and mungbean. Data regarding grains head −1 or seeds pod −1 , TGW and grain yield of pearl millet, sorghum, and seed yield of mungbean and pigeonpea are presented in Table 4. Data revealed that both, irrigation and intercropping were significantly affected grains head −1 or seeds pod −1 , TGW and grain/seed yield of all studied summer crops. All crops under full irrigated  www.nature.com/scientificreports www.nature.com/scientificreports/ condition produced significantly higher grains head −1 or seeds pod −1 , TGW and grain/seed yield than limited irrigated condition. All studied crops grown in intercropped produced comparatively higher grains head −1 or seeds pod −1 than sole crop except pigeonpea. Pearl millet intercropped with mungbean produced higher grains head −1 than intercropped with others crops or grown as sole crop. Sorghum intercropped with both legumes, produced higher grains head −1 than intercropped with pearl millet (Fig. 2g). Pigeonpea intercropped with mungbean produced higher grains pod −1 than intercropped with pearl millet or sorghum. Moreover sorghum/pearl millet intercropped with mungbean produced higher grains head −1 than sorghum/pearl millet intercropped with pigeonpea. Statistical analysis of the data of all crops revealed that irrigation and intercropping were significantly affected TGW of all crops except pearl millet, in which the effect of intercropping was found non-significant. Sorghum intercropped with mungbean produced higher TGW, followed by intercropping with pigeonpea which was statistically similar with intercropping with pearl millet or grown as sole crop (Table 4). Mungbean intercropped with pigeonpea produced higher TSW followed by intercropped with pearl millet or grown as sole crop while lower TSW was recorded in intercropping with sorghum (Fig. 2h). Mungbean intercropped with pigeonpea and/or pigeonpea intercropped with mungbean produced higher seed yield than intercropped with cereals ( Fig. 2i). Pigeonpea intercropped with pearl millet produced higher seeds pod −1 (Fig. 2j) which was statistically similar with pigeonpea intercropped with mungbean and sorghum. On the other hand, pigeonpea intercropped with mungbean and millets produced higher seed yield (Fig. 2k). Additionally, mungbean/ pigeonpea intercropped with pearl millet produced higher seed yield as compared with mungbean/pigeonpea intercropped with sorghum (Fig. 2l).
Land equivalent ratio (LER). LER is intercropping terminology using to assess the land utilization under intercropping system than monocropping system. Among winter crops under full irrigated condition only intercropping of wheat with fababean showed higher LER than one with the remain all showed less than one which mean that only intercropping of wheat with fababean have intercropping advantages under full irrigated condition (Table 5). In case of limited irrigated condition all intercropping system had higher or equal LER to sole cropping which than under limited irrigated condition all the studied combination of crops had intercropping advantages. On the other side intercropping of summer crops showed higher LER than one except intercropping of mungbean with sorghum and pearl millet under both water regimes. The partial value of LER showed that sorghum had taken highest benefit of intercropping as when intercropped with mungbean. Partial LER greater than 0.5 showing intercropping advantages over monocropping. Table 5 showed that intercropping of summer cereals  www.nature.com/scientificreports www.nature.com/scientificreports/ with legumes crops taking highest benefits of intercropping. In summer, cereal legumes intercropping system, intercropping pigeonpea with pearl millet and sorghum were the most promising system under both irrigated and limited irrigated condition by the best land utilization over monocropping.
Aggressivity. Aggressivity is a competition index used to describe the relative yield increase in crop "a" than crop "b" in an intercropping system. Aggressivity of the winter season showed that all crops combination are not similar in competition under both moisture conditions, higher aggressivity was recorded for barley grown in intercropping with fababean under both water regimes followed by wheat intercropped with rapeseed then wheat intercropped with fababean under high and low moist condition, respectively, while lowest aggressivity was recorded under high moist condition (Table 6). In case of wheat intercropped with barley and fababean, while in case of limited Irrigated condition lowest aggressivity was determined in intercropping of barley with wheat and rapeseed. Aggressivity value of the summer intercropping also revealed that companion crop did not compete equally. Sorghum or pearl millet intercrop with mungbean shown highest positive aggressivity over mungbean. Sorghum/ pearl millet intercropped with pigeonpea showed least positive aggressivity value which mean that these crops are compatible with each other. Under low moisture condition pigeonpea intercrop with mung bean showed least aggressivity. Among winter cereals barley is the strongest competitor with other crops no one is able to compress it expect rapeseed which slight aggressiveness over barley under both water regimes.
Competition ratio (CR). Competition ratio showed different response of winter crops under both irrigation regimes. Intercropped with legumes crops, rapeseed was the dominant crop than fababean, having highest CR over winter cereals i.e. wheat and barley, while in case of winter cereals, barley was the most dominant species over wheat, having higher CR than wheat, under intercropping system of wheat/barley with fababean and rapeseed (Table 7). In case of wheat-fababean/ rapeseed intercropping system, rapeseed and fababean were the dominant species over wheat under full irrigated condition, it might be due the suitable moisture, quick initial growth of the legumes and friendlily condition with wheat crop as compared with barley, which have some allelopathic effect on complain crops. In case of summers cereal, sorghum was the most dominant crop than pearl millet over legumes crops specially mung bean having highest CR under both water regimes. In case of summer legumes pigeonpea was the most competitive crop than mung bean with pearl millet and sorghum, respectively.  www.nature.com/scientificreports www.nature.com/scientificreports/

Relative crowding co-efficient (K). Relative Crowding Co-Efficient (K) is an intercropping index which
evaluating and comparing the competitive ability of one species to the other in a mixture. To calculate the relative dominance of crop species over the other spices of crop in intercropping system, relative crowding coefficient is the best option (Table 8). Under irrigated condition of winter crops K showed that intercropping of wheat with fababean and rapeseed were the most successfully combination among others. The lowest value for K was recorded for intercropping system of barley with wheat and fababean under irrigated condition, while under limited irrigated condition highest K valued was calculated for intercropping of wheat with fababean, and barley with rapeseed. While on the other hand, intercropping of pigeonpea with mungbean, pearl millet and sorghum showed highest intercropping system due highest value for K (pigeonpea + mungbean > pigeonpea + pearl millet > pigeonpea + sorghum) under irrigated condition, while under limited irrigated condition highest intercropping of pigeonpea + mungbean showed higher value for K followed by pearl millet intercropped with mungbean while intercropping of sorghum with pigeonpea, pearl millet, mungbean showed no considerable increase than one, which mean intercropping of these crops under limited irrigated condition similar to the their respective monocropping.

Actual yield loss (AYL).
The AYL is the proportionate yield loss or gain of intercrops compared to sole crop.
AYL give more accurate evidence about intercropping than the other indexes on the intra-and inter-specific competition and behavior of the component crops. In case of winter crops, intercropping of barley with wheat/ fababean/ rapeseed showed a disadvantage of intercropping system due to negative value for ALY under full irrigated condition, while under limited irrigated all the intercropping combination have positive value for intercropping (Table 9). Highest ALY was observed for wheat and fababean when intercropped with barley, under both water regimes intercropping of wheat with fababean was the most successfully intercropping system in tram of positive AYL value, followed by wheat intercropped with rapeseed. In case of summer crops, all intercropping system have positive ALY value except intercropping of sorghum with mungbean under limited irrigated condition. In tram of partial ALS value highest benefit had taken by sorghum and pearl millet when intercropped with mungbean, while considerably suppressed the growth of mungbean. Pigeonpea was the strongest competitor crop in these intercropping system by maintaining positive value of AYL as intercropped with strongest summer cereals i.e., sorghum and pearl millet under both water regimes.  Table 9. Effect of irrigation regimes on actual yield loss in different intercropping systems. Note; ns stand for statistically non-significant at 5% probability (2020) 10:8129 | https://doi.org/10.1038/s41598-020-65195-7 www.nature.com/scientificreports www.nature.com/scientificreports/ Area time equivalent ratio (ATER). Data regarding ATER of the both winter and summer crops showed in Table 10. ATER provides more realistic comparison of the yield advantage of intercropping over sole cropping in terms of variation. in time taken by the component crops of different intercropping systems. In all the treatments, the ATER values were lesser than LER values indicating the over estimation of resource utilization. ATER is free from problems of over estimation of resource utilization contrary to LEA. In case of winter crops all intercropping combination have less than one ATER except wheat intercropped fababean and rapeseed under both water regimes and wheat intercropped with barley intercropped with rapeseed and wheat under limited irrigation condition only (Table 10). While in case of summer season crops, ATER of all intercropping system showed less than one except sorghum intercropped with pearl millet under full irrigated condition and pigeonpea intercropped with mung bean under limited irrigated condition. All the intercropping system which have less than one ATER value had a disadvantage of intercropping in term of field occupation time.

Land utilization efficiency (LUE). An intercropping system utilization of land is the main indicator which
show the efficiency of an intercropping system. LUR value greater than 50 showed advantages of intercropping over mono cropping. Highest LUE value was recoded for wheat intercropped with fababean followed by wheat intercropped with rapeseed under both water regimes. Barley intercropped with wheat, fababean and rapeseed showed lowest land utilization efficiency under full irrigated condition, while under limited irrigated condition a little increase was observed (Table 11). On the other hand, summer crops all most all crops showed higher LUE than 50 except sorghum/millet intercropped with mungbean, with highest LUE value for intercropping of pigeonpea intercropped with mungbean under limited irrigated condition and sorghum intercropped with pearl millet under full irrigated condition followed by pearl millet intercropped with pigeonpea.
Intercropping advantages (IA). Intercropping advantage (IA) is also an indicator of the economic feasibility of intercropping systems. IA of the data showed that intercropping system of wheat with fababean and rapeseed had highest intercropping advantages over monoculture as showed by their positive for IA under both water regimes, followed by wheat intercropped with rapeseed while the rest of intercropping system had a disadvantages of intercropping under full irrigated condition, while under limited irrigated condition all of the intercropping system had intercropping advantages except fababean intercropped with barley and rapeseed (Table 12). Barley intercropped with wheat show negative IA for both component crops under full irrigated condition which mean wheat and barley intercropping system under normal water condition had disadvantages of intercropping. In case of wheat intercropped with rapeseed highest advantages of intercropping system had taken by rapeseed due to it  www.nature.com/scientificreports www.nature.com/scientificreports/ high positive IA value while wheat had a disadvantages of intercropping but the overall system had positive value foe IA due high price of rapeseed which overcome the loss of wheat during intercropping system. Intercropping systems of summer crops showed positive value for IA except mungbean intercropped with sorghum and pearl millet under both water regimes. Sorghum and pearl millet intercropped with mungbean got highest beneficent of intercropping system by getting highest positive value for IA while the growth of mung bean was highly suppressed, which conform by the highest negative value of IA, but the overall system of had a positive value which mean increase in sorghum and pearl millet yield as result of intercropping with mungbean compensated mungbean yield reduction. While intercropping of pigeonpea with sorghum or pearl millet showed strongest competitive ability due to it comparatively high stature as compared with mung bean and branched nature.

Monetary advantage index (MER). MER is one of the economic profitability indices which is used to
identify the profitability or productivity of intercropping system over mono cropping (Table 13). MERs of the data showed that wheat intercropped with fababean had highest economic return followed by wheat intercropped with rapeseed while the rest of the system had a disadvantages of the intercropping as decreased of IA under full irrigated regimes, under limited irrigated regimes all the intercropping system have positive value for which mean all of the had intercropping advantages with highest value for MERs was recorded an intercropping wheat with fababean followed by rapeseed, while lowest value was recorded for MERs in case of barley intercropped with fababean under full irrigated condition. On the other hand, intercropping system of summers crops showed positive value for MERs in all intercropping system except pearl millet intercropped with mungbean under limited irrigated regimes. Table 14. The data showed intercropping system of cereal with legumes showed that highest SPI under both winter and summer season regardless of water regimes. In case of winter crops highest SPI was recorded in intercropping system of wheat and fababean followed wheat and rapeseed. Barley intercropped with fababean or with rapeseed showed least SPI. In case of summer crops, highest SPI was calculated when sorghum intercropped with pigeonpea followed by pearl millet intercropped with pigeonpea. Data in Table 14 showed that pigeonpea is more productive and can be more successfully grown as compared with mungbean in sorghum or pearl millet intercropping system.  www.nature.com/scientificreports www.nature.com/scientificreports/ Discussion LER were high for all intercropping systems than sole cropping under both water regimes. Koocheki, et al. 51 , reported that intercropping of corn and beans, gives higher LER as compared to sole corn. In intercropping of wheat and lentil, the maximum LER was achieved in lentil and wheat as mixed cropping system 52 . Shaker-Koohi and Nasrollahzadeh 53 reported that intercropping of sorghum + mungbean, increased LER than sole cropping. Pigeonpea intercropped with mungbean produced maximum LER in both water regimes, this might be due to conducive environment to each other's. Pearl millet and pigeonpea intercropping had high LER than sorghum and pigeonpea, it might be due the suppressive and allelopathic effect of the sorghum on pigeonpea due to its high stature. The results are in line with Egbe and Kalu 54 , they reported that under high stature sorghum the growth and performance of the pigeonpea was low which resulted in lower LER. However, all crops combination showed higher LER than monocropping, which showed the supremacy of intercropping over monocropping. Legumes intercropped with legumes or legumes intercropped with cereals produced higher LER than cereal intercropped with cereals, one of the major reasons might be due the nitrogen fixation by legumes. In sorghum + mungbean intercropping the growth of mungbean was reduced significantly while the growth of sorghum was increased tremendously, it might due to the strong root system and high nutrients and water absorption capacity of the sorghum. Similar results were reported by the previous researcher like 36,55,56 they all reported that in cereal-legumes intercropping system cereals were the dominant and aggressive crops while legumes were the suppressive ones. LER value showed the suitability of the mungbean + pigeonpea and pearl millet + pigeonpea intercropping. Alizadeh, et al. 57 reported that intercropping reduced the weed density; in barley and pea intercropping weed biomass than the sole cropping of pea 24 . Barley was more competitive and aggressive in most planting patterns, which is also supported by the finding of Esmaeili et al. 58 . Wheat intercropped with fababean gives higher LER than other intercropping system. Intercropping of wheat with fababean had significant effect soil and environmental resources utilization as result product higher LER 20,59,60 . LER for fababean was lower than 0.5 when intercropped with barley, these results are in line with Dhima et al. 21 . They reported that LER of fababean was low in intercropping with barley which that barley taking advantages of intercropping while fababean had disadvantages of intercropping. Wheat intercropped with fababean produced higher LER than intercropped with rapeseed. Similar results were reported by Khatun,et al. 61 in wheat-cowpea intercropping highest LER (1.71) was recorded while lowest (1.46) was recoded in wheat mustard intercropping.  Table 12. Effect of irrigation regimes on intercropping advantages in different intercropping systems.

System productivity index (SPI). SPI data of both winter and summer crops presented in
Aggressivity value of the intercropping revealed that companion crop did not compete equally. In both seasons i.e., winter and summer cereal showed more aggressivity over their companions' crops, while might be due the fact that legumes increased nitrogen nutrition of cereals as a result improved it grain yield. Similar results were reported by Kaci,et al. 62 who reported that intercropping fababean with wheat, increase wheat grain nitrogen contents. Sorghum or pearl millet intercrop with mungbean shown highest positive aggressivity over mungbean, it might be due shorter plant stature of mungbean, which was over shaded by sorghum and pearl millet due to which growth of mungbean was severely suppressed and highest benefits of intercropping was got by sorghum and pearl millet. Similar reported was reported by Salih 63 who stated that sorghum intercropped with legumes removed higher nitrogen from the legumes and suppressed them. Sorghum/millet intercropped with pigeon showed least positive aggressivity value which mean that pigeonpea was most competitive crop with sorghum and pearl millet, it might be due deep-rooted system and high stature of pigeonpea, which make it stronger competitor than mug bean.
The CR is another tool to find the competitive ability of one crop with a companion crop in intercropping. Higher value of CR revealed strong competition on companion crop, under both, water regimes sorghum shown the highest CR value followed by pearl millet over mungbean, which mean that sorghum and pearl millet were most dominant crops over mungbean i.e. mungbean was less competitive with sorghum and pearl millet grown in intercropping for sharing same soil and environmental resources 64 . Relative crowding coefficient (RCC) plays a vital role in finding the competitive effects and intercropping advantages. Barley showed higher RCC than other studied crops except Rapeseed, it might be due the This capacity may be due to the strong nutrient and water competitiveness associated to barley roots in comparison to those of fababean 65 . Agegnehu,et al. 20 also reported similar result that barely have strong dominances over fababean by decrease 50 kg ha −1 of fababean. Under full irrigated condition intercropping of pigeonpea + mungbean and sorghum + pigeonpea was highest RCC value. In intercropping of sorghum and mungbean, sorghum was highest RCC value while mungbean had lowest RCC value, which show that sorghum was more superior to mungbean in both water regimes. These results are in line with Banik,et al. 18 in chickpea-wheat intercropping; Ghosh 19 groundnut-cereal intercropping and Dhima, et al. 21 in cereal-vetch intercropping, cereals were dominant over legumes.
AYL was also an important tool for accessing advantages or disadvantages of intercropping. The results revealed that all the main crops resulted positive value for AYL, which showed that main crops were in advantages of intercropping. The highest grain yield gain was recorded for pigeonpea when intercropped with mungbean, followed by sorghum and pearl millet intercropped with mungbean, respectively, under both, full irrigated and  limited irrigated conditions it might be due the high stature of sorghum and pearl millet which over shed the low stature mungbean and decrease the sunlight penetration 36,56 . Under full irrigated regime all the crops intercropped with sorghum showed disadvantages of intercropping except pigeonpea, while under limited irrigated all the crops intercropped with cereals showed negative value for AYL. The highest grain yield loss was recorded for mungbean when intercropped with sorghum and pearl millet under full irrigated condition. Intercropping of pigeonpea and mungbean resulted positive value of for both, pigeonpea and mungbean under both water regimes. These results are in line with those of Banik, et al. 25 who reported that in intercropping of wheat and chickpea, it observed that the chickpea yield in mixture significantly decreased. Layek, et al. 56 also found that soybean yield losses in intercropping with maize due to direct competition for light, space and nutrients. All intercropping systems showed advantages of intercropping. Highest advantage was recorded for pigeonpea, mungbean intercropping system followed by sorghum, pigeonpea and pearl millet, pigeonpea intercropping system, respectively under full irrigated condition while under limited irrigated condition intercropping of pigeonpea and mungbean resulted higher positive value for AYL followed by pearl millet intercropped with pigeonpea. Under limited water condition rapeseed perform better than fababean it might be due to the strong root system of rapeseed which penetrated the soil deeper and possibly the low leaf canopy which conserved the water. In comparison, intercropping cereals with legumes showed more sophisticated one than intercropping of cereals with cereals crops. It might be due nutrients availability especially nitrogen, in the process of nitrogen fixation by the legumes and strong nutrients and water absorption capacity of the cereals crops as compared with legumes. Similar result was reported by 66 , they reported that an intercropping of fababean + barley, fababean case can cause in crease of 50% in barely aerial biomass, it might be strong root system of barley as compared with fababean 67 . In case of cereals and legumes intercropping system, cereals get more benefits of intercropping and decrees the growth of the legumes Mouradi, et al. 65 who reported that intercropping of barley with fababean, decrease the stem dry weight, root growth weight of fababean. It this experiment that intercropping of fababean with barley is not profitable for the fababean 68 . Growth and yield parameter show negatively effect in fababean as intercropped with cereals particularly with barley 68 . In this research intercropping of cereals with legumes showed most promising interaction with each other and improved the yield and growth of cereals in tram of CR, A, RCC, ATM, LER, LUE etc, it might be due the nitrogen fixation and phosphorus acquisition due to its capability to fixe atmospheric nitrogen and root exudation which improve P solubilization and ensure P availability in soil [69][70][71] . Fababean is important crop for intercropping with cereals due to several important characteristics like shade tolerance Nasrullahzadeh, et al. 72 , nitrogen fixation Li, et al. 73 , and high protein content are the unique characteristics which it more suitable to intercropped with cereals.  Table 14. Effect of irrigation regimes on system productivity index in different intercropping systems.
Higher grains spike −1 was recorded under full irrigated regime than under limited irrigated water regime. These results substantiate the outcome noted by El-Sarag. 74 . Sarwar 75 indicated steady growth of TGW effectively enhanced with required moisture in association to limited water regime. TGW of wheat is statistically significantly affected by irrigation, intercropping and its interaction. Results are at par with results of Ranawake, et al. 76 . Among intercropping system wheat + fababean gave highest grain weight. Grain weight significantly varied by intercropping system 25 .
TGW and number of grains head −1 or seeds pod −1 of all crops were higher in full irrigated condition than limited irrigated condition. The increase in grains weight and number of grains head −1 /pod −1 might the proper moisture availability in the grain's formation and grain filling stage, which increase the solubility, uptake and transport of plant nutrients. The present results are similar with finding of Khalili 77 they reported that grains weight reduced under moisture stress condition. Reduction in grains weight are also in line with results of Robertson, et al. 78 who reported decrease in grains weight under moisture stress in mungbean. TGW of all crops were significantly affected by intercropping except millet. Sorghum produced less TGW when intercropped with mungbean; mungbean produced higher TGW when intercropped with pigeonpea, while pigeonpea produced maximum TGW when intercropped with millet. The decrease in grain weight of sorghum intercropped in mungbean might be due to the reason of high number of grains head −1 , which lead to inadequate assimilate to all grains as result grains weight decreased. The results are in contrast with those of Kumar and Roberts 79 who reported that different ratios of intercropping did not significant effect on chickpea seed weight. Cereals produced maximum grains head −1 in intercropping with legumes than intercropped in another cereal or grown as sole crop. The possible reason might be less interspecific competition in intercropping with legumes. In contrast pigeonpea produced maximum grains pod −1 in intercropped with mungbean or grown as sole than intercropped with cereals. But number of grains pod −1 in mungbean was statistically similar in intercropping. It might be due to the varying competition among crops for water, space and soil resource, both sorghum and millet were strong competitor with legume as result it suppressed most of the growth of legumes 80 . Pandita et al. 81 also revealed smaller number of grain pod −1 in intercropping than sole crop of legumes. Nasarullahzadeh and Koohi 82 also reported that grains pod −1 in mungbean was not significantly affect by intercropping. Under full irrigation condition all crops produced maximum grain yield than limited irrigation condition. The increase in grain yield under full irrigated condition might be due to the high moisture content in the soil, which increased nutrient availability and update and also plant probably increased rate of photosynthesis and translocation of assimilate from leaves and stem toward grains which resulted given higher grain yield. Similar results were reported by Zerbini and Thomas 83 , and Al-Suhaibani 84 , they all reported that increase in grain yield of crops under no water stress condition than water stress condition. High moisture contents in the soil, maintain and improved the turgidity of the plant cells and growth of the plant. Thus, more water uptake by the plants helped in higher transpiration rate, produced more leaf area, high rate of photosynthesis and translocation of assimilate from source to sinks, as result more TGW, high number of grains head, and finally higher grain yield was produced. Similar advantageous effects of high moisture contents in soil on yield attributes, grain and biological yields and dry matter production of millet were also described by Khippal and Hooda 85 and Imma and Jose 86 . All crops produced higher grain yield in sole cropping than intercropped, probably due to the greater number of plants per unit area in sole cropping. Similar result were reported by Kumar et al. 87 ; Sharma et al. 88 and Barod et al. 89 , they all reported that in mono-cropping the yield of the crops were high than intercropping due to high planting density. Intercropping of cereal with both legumes produced higher grain yield than intercropped with another cereal. The increase in yield was possible due to the conducive environment, less competition for soil resource and more space, more sunlight, to developed high crop canopy as result plants get more assimilate partition and accumulation occurred. Similar results were reported by Tsubo 90 also reported similar result that beans did not show strong competition in cereal-legumes intercropping. In contrast legumes intercropped in legumes produced higher yield than intercropped with cereals, it might be due to the shading effect of tall cereals and high competition for above and underground resources. The results are in line with Pal et al. 80 , who reported that pigeonpea intercropped with urd-bean produced higher yield than intercropped with sorghum.

Conclusion
From the results derived that all competition indexes showed that intercropping has considerable superiority to monocropping which accredited to better economics and land use efficiency. Competition indexes like land equivalent ratio, aggressivity, competition ratio, area time equivalent ratio, relative crowding coefficient and land utilization efficiency, system productivity index, values were maximum for wheat intercropped fababean in winter season and sorghum/millet intercropped with pigeonpea which indicating the better intercropping system under both irrigation regimes for the semiarid regions.