4.1. Evapotranspiration During the Growing Season
Overall, this data showed that the irrigation amount affected the ETc and these results agreed with some studies [
29,
30,
31,
32], but these values differed from the studies due to the climate and field management variability. According to Bauder et al. [
29], the ETc of alfalfa ranged from 197 mm to 724 mm and the greatest difference in values of the ETc was obtained in the driest year, 1975. Accordingly, in this study, the greater difference in values between A1 and the control treatment was obtained in 2015, the drier year compared to 2014. Lamm et al. [
21] found that the ETc of alfalfa ranged from 887 to 1069 mm, and the irrigation amount increased from 70% to 100% ETc of alfalfa. In Wright’s study [
33], the average water consumption of alfalfa for five years under sufficient soil water conditions was 1022 mm. Retta and Hanks [
34] found that the ETc of alfalfa ranged from 232 mm to 728 mm while the irrigation amount (irrigation plus rain) increased from 96 mm to 622 mm. Cavero et al. [
35] found the ETc of alfalfa, with irrigation amounts equal to the crop irrigation requirement in daytime and nighttime, ranged from 832 mm to 941 mm.
The ETc of the first growth period was a large amount regardless of the irrigation. This situation was due to the winter irrigation at the end of the previous growing season, which maintained the SWC at a good level at the beginning of the growing season, allowing the alfalfa to extract enough water for transpiration from the soil in the early first growth period. The soil water was consumed with the alfalfa growth, resulted in the water deficit condition in the late first growth period as the ETc was lower than the ETr. On the other hand, the longest growth periods receiving more solar radiation and a more effective growing temperature than other growth periods (data not shown) could increase the ETc of alfalfa [
36,
37]. In 2014, the ETc reached another peak in the third growth period, which was due to the higher daily temperature and rainfall. In the fourth growth period, daily temperatures became cooler and solar radiation decreased, causing the alfalfa to go dormant and the ETc to decrease. During the third growth period in 2015, high daily temperatures and solar radiation were also recorded, but the rainfall was poor compared to the same growth period in 2014, which caused the difference in the ETc in A2, A3, and A4. Irrigation is an important factor which affects the ETc of alfalfa [
21,
30,
31,
37]. The decrease in irrigation amount resulted in a water deficit. Under water deficit conditions, rainfall becomes the major factor influencing the ETc [
38]. The SWC in A3 and A4 was low after the first growth period, so a low precipitation amount during the third growth period with higher daily temperatures intensified the water deficit, which led to the decrease of the ETc in A2, A3, and A4.
The ETc of alfalfa was more than the water applied (irrigation plus rainfall) during the growing season in all treatments in 2014 as well as in A3 and A4 in 2015, which means that the alfalfa also extracted water for growth from the soil as well as the irrigation water applied during the growing season. Comparing the ETc and ETr in
Table 3, it shows that all treatments, even the A1 treatment, were grown under water deficit conditions during the first and second growth periods in 2014. The ETc of alfalfa in A1 and A2 in 2015 was less than the water applied, which means that some irrigation water and rainfall was stored in the soil. Malek et al. [
39] found that unforeseen rain between irrigations led to the ETc occasionally being less than the irrigation plus rain in the short term, and the water stored in the soil would be used when the crop needed it. It is believed that extra water from irrigation or rainfall will be used as a crop needs it, even in the long term.
The higher ETc during the same growth period led to a higher ETc rate. The average ETc rate of all treatments remained low in the first, second, and fourth growth periods. The higher ETc rate in all treatments obtained in the third growth period in 2014 was due to the largest rainfall, which made all treatments except A4 fully or nearly fully irrigated when comparing the ETc and ETr. Higher temperatures and solar radiation also increased the ETc rate [
36,
37]. Other studies showed that the extremely high ETc rate with irrigated alfalfa was due to advection [
40,
41,
42]. Daigger et al. [
43] also found a similar ETc trend. In their research, the ETc rate was 4.2 mm/d, 5.5 mm/d, and 5.9 mm/d from the first to the third growth period, while the daily water use increased in June, July, and the first part of August, after which it declined. An extremely high ETc rate of 12.16 mm/d occurred in A1 between 16 August and 19 August in 2015. This was due to the fully irrigated conditions during this growth period in A1 when comparing the ETc and ETr. Hanson et al. [
31] also found a high ETc rate of 12 mm/d in fully irrigated alfalfa. Wright [
33] found that the highest ETc rate exceeded 10 mm/d in most seasons. The ETc rate in A4 in 2015 remained low and constant due to the low average daily temperature in the first growth period and a water deficit in the other growth periods.
4.2. Yield
The results of this study indicate that the yield increased when the irrigation amount increased, concurring with some studies [
21,
44,
45,
46]. According to Bauder et al. [
29], the yield of alfalfa without irrigation increased from 2622 kg/ha to 11,050 kg/ha when the amount of rainfall increased from 70 mm to 478 mm. Retta and Hanks [
34] also found that the yield increased from 2890 kg/ha to 17,490 kg/ha when the rainfall increased from 96 mm to 278 mm under similar irrigation amounts between years. Bolger and Matches [
47] found that the yield of the first growth period accounted for 41–46% of a seasonal yield, while the percentage was 35–50% in this study. The percentage of the yield of the first growth period in seasonal yield increased when the seasonal irrigation amount decreased. This result was due to the longest growth season of the first growth period [
46]. Daigger et al. [
43] also suggested that producers should fill the soil profile with water to a depth of 2.5 m early in the growing season to take full advantage. The greater yield obtained in the third growth period in 2014 was due to the greater rainfall during that time, which made all treatments except the rainfed treatment fully or nearly fully irrigated. The third growth period (from mid-July to mid-August) was the period with the highest temperatures and greatest solar radiation. Radiation use efficiency (RUE) decreased when alfalfa was under water-stress [
46] and the high daily temperatures intensified the stress, which led to the stronger decrease in RUE. In addition, when winter irrigation was applied, early-regrowth alfalfa (2014) could produce high yields even if there was no irrigation during the growth period, enabling producers to save irrigation water in the early first growth period when the winter irrigation could be applied instead.
A significant linear relationship was obtained between the ETc and yield in all fitting results (
p < 0.05). Similar results were also found in some studies [
32,
47,
48,
49,
50], but the fitting results varied between growth periods and growing seasons [
38,
47,
48,
50]. Li et al. [
45] found that the relationship between ETc and yield varied under different planting and irrigation treatments. Decreasing
R2 when annual or two growing seasons data was combined was due to climate variability, especially rainfall between years. Undersander [
38] found that precipitation decreased the
R2.
The linear relationship between the yield of alfalfa and water applied agreed with Bauder et al. [
29]. Klocke et al. [
51] found that the relationship between yield and water applied to alfalfa was nearly linear during the second through fourth year, and a linear relationship was obtained in the fifth year. Montazar and Sadeghi [
52] found a quadratic relationship between the yield of alfalfa and irrigation amount. Other studies also implied a linear relationship between grain yield and water applied in maize [
53,
54,
55]. Yield response to water applied was a combined influence of the irrigation amount, the precipitation, and the SWC from the beginning to the end of the year [
51]; high initial SWC in 2014, after the winter irrigation at the end of the previous growing season, contributed more to the growth of the alfalfa during the first growth period than in other growth periods.
4.4. Water Use Efficiency
In this experiment, WUE increased with the decreasing irrigation level; this varying trend was also found in some studies [
21,
32,
60]. Erice et al. [
61] found that the WUE increased under a drought of 14 days and declined after a recovery period. Anower et al. [
3] found that the WUE increased with less irrigation applied, but the rising range varied between cultivars. Other studies found that the WUE decreased under dry conditions due to the differences in climate [
30,
50,
62]
The highest average WUE was obtained from the first growth period and decreased with successive growth periods. This agreed with Lamm et al. [
21]. The decrease of the average WUE was due to the climate and the physiology of alfalfa. Alfalfa is a C3 crop, which has a higher photosynthesis rate under cooler temperatures, such as in the first and second growth periods. The production of biomass aboveground in the early season depends on the carbohydrates accumulated in the previous fall, which resulted in the highest WUE. On the other hand, after the first growth period, carbohydrates for growth comes from photosynthesis in the new leaves [
63,
64]. In the third growth period, the highest temperature in the whole year was recorded, and, in the fourth growth period, the coldest temperature was recorded, beginning the dormancy of alfalfa and resulting in the decrease of the WUE [
30]. Sammis [
50], however, found that the highest WUE was obtained in fall. Bolger and Matches [
47] found that the WUE was highest in the first growth period and remained constant through the summer. As the highest WUE was obtained in the early harvest, irrigation should be concentrated during this growing period; some studies have shown the same results [
21,
65]. In the case of winter irrigation applied at the end of a previous growing season, irrigation water should be concentrated in the second growth period to maintain the seasonal yield with less irrigation, as the first growth period produced a high yield without irrigation in 2014.