# Growth, Development, and Water Consumption of Irrigated Bean Crop Related to Growing Degree-Days on Different Soil Tillage Systems in Southeast Brazil

Authors: Gerson Araujo de Medeiros; Luiz Antonio Daniel; Felipe Hashimoto Fengler
Journal: International Journal of Agronomy
 (2016)

---

## Abstract

Degree-days may be an alternative for predicting the influence of temperature on physiological aspects of plants in a changing climate. The objective of this research was to evaluate the relation between cumulative degree-days index (∑
G) and the development, growth, and water consumption of irrigated bean under different soil tillage systems (STS). We developed an experiment in Southeast Brazil in plots managed with the following STS: chisel ploughing (CP), disk ploughing (DP), and revolving hoe (RH). The treatments did not influence the crop phenology when correlated to ∑
G. The parameters of canopy ground cover, leaf area index, total dry matter, and the plant height presented a highly significant relationship with ∑
G (P
<
0.05). We also compared the results of field water balance with a simulation developed between the crop coefficient and ∑
G and found a strong relationship (R
2 = 0.93∗∗; ∗∗: high statistical significance (P
<
0.01)) between these measurements and the model. The total water consumption measured at the irrigated bean crop reached 383 mm, 386 mm, and 375 mm while that simulated from dual crop coefficient approach based on ∑
G reached 378 mm, 373 mm, and 349 mm to CP, DP, and RH, respectively, representing a mean difference of 4.2%.


---

## Body

## 1. Introduction

Since crop growth, development, and water consumption are strongly influenced by temperature [1–4] climate change has increased the vulnerability of the emerging, like Brazil, which is highly dependent on agricultural production.This strong relationship has led to the dissemination of the thermal units concept, expressed in degree-days, to describe and forecast the phenological stages and length of growing season for several crops. This index is preferred to other approaches, such as the number of days after the emergence or sowing, and represents the cumulative amount of heat necessary for a particular crop to develop [4, 5].There are different applications of the cumulative growing degree-days approach (∑
G) or thermal units. For example, we can forecast the growing season length and how it may be influenced by climate change [5, 6], plan for the growing season [7], forecast potential production of the crop [6], compute subroutines in mathematical models [8], and estimate crop water consumption and irrigation management [1, 7, 9–12].Different factors can influence the relationship degree-days and plant growth and development. These include temperature variation [2, 5], nutrients and plant management [1, 2, 13], the cultivar [7, 8], and water availability [2]. However, there is a lack of studies on the influence of soil tillage system on relationship between thermal sum and the development, vegetative growth, and water demand of irrigated crops.In this context, we introduce the bean crop, an important protein source to human consumption. In 2013, the global production reached 22.8 million tons, with Myanmar (3.7 million tons), India (3.6 million tons), Brazil (2.9 million tons), Mexico (1.3 million tons), and United Republic of Tanzania (1.1 million tons) comprising the top five dry beans production countries in the world FAO [14].This crop is vulnerable to the variation of mesological factors, demanding the development and testing of empirical relations to forecast its performance considering the year-to-year variability of temperature.Therefore, in this research, we evaluated the development, growth, and water consumption of irrigated bean (Phaseolus vulgaris L.) based on cumulative growing degree-days, under different soil tillage systems in Southeast Brazil.


## 2. Material and Methods

We carried out this research at Faculdade de Engenharia Agrícola from Universidade Estadual de Campinas (UNICAMP), in Campinas city, São Paulo state, Brazil, 47°05′W, 22°54′S, and 606 m above sea level. The soil is an oxisoil, known as red Latosol, clay texture (550 g kg−1), with a mean saturated hydraulic conductivity of 70 mm h−1 and a ground slope of 0.09 m m−1 [15].In 1985, eight experimental plots were initiated for measurements of soil and water loss. Each experimental plot had an area of 600 m2 (20 m wide by 30 m long) and a collector of 20 m wide. From 1986 to 1990, the soil was recovered to introduce different agricultural mechanization treatments. In the period from 1990 to 1998, only maize was cropped in the plots during the rainy season (November to February) [16]. In September 1999, we introduced irrigated dry bean (Phaseolus vulgaris L.), cv. IAC Carioca, a bush bean with indeterminate growth habit, less than 0.4 m depth of effective root system, and the total duration of growth varying from 90 to 95 days.The continued use of these tillage systems for eight years influenced various soil physical and chemical parameters, as reported by de Medeiros et al. [15, 16]. This influence has guided the selection of the following soil tillage systems to be analyzed in this research [16]:(a)
Chisel ploughing system (CP): 0.30 m depth, followed by a light disc harrowing.
(b)
Disk ploughing system (DP): three reversible disk plough operations 26′′ incorporated crop residues to 0.20 m deep. At the time of sowing, a second ploughing was carried out at 0.25 m depth, followed by a light disk harrowing.
(c)
Revolving hoe system (RH): single soil tillage was carried out with a revolving hoe to 0.18 m deep, to incorporate crop residues.On August 27th, 1999, we started the soil tillage and on August 31st the seeding and fertilization, with a population density of 25 plants m−2. The emergence was on September 7th and the harvest on November 30th or at 84 days after emergence (DAE) in all plots.During the whole season, 203 mm of rainfall accumulated, the mean temperature was 22°C, and the mean reference evapotranspiration (E
T
o) was 430 mm or 4.7 mm d−1, calculated from Penman-Monteith method modified by Food and Agriculture Organization of the United Nations (FAO) [17]. Since the rainfall alone would disallow an economic crop production, we used a drip irrigation system to supply the water needs of the beans.We applied moderate amounts of irrigation water, which were 251 mm, 258 mm, and 232 mm to CP, DP, and RH tillage systems, respectively. These were distributed in 9 weekly intervals, throughout the whole season. This irrigation, together with the evapotranspiration and rain from meteorological conditions, supported a water balance, assuming no deep percolation and runoff, for most of the season. Average values of water tension at a depth of 0.15 m were 17 kPa for CP and 14 kPa for DP and RH tillage systems in the period of 6–81 DAE (from September 13th to November 27th), providing similar soil humidity to all treatments.This work was developed in a thermic time based on cumulative growing degree-days, calculated in the following way [1, 10]:(1)
∑
G
=
∑
i
=
1
n
T
m
a
x
+
T
m
i
n
2
-
T
b
a
s
e
,where ∑
G is the accumulated growing degree-days (°C); T
m
a
x is the maximum daily temperature of the air (°C), T
m
i
n is the minimum daily temperature of the air (°C), and T
b
a
s
e is that below which the plants cannot grow (°C).For this study we used 10°C for all the crop developing stages, as suggested by other authors for different crops and environmental conditions, including beans [1, 5, 6, 13].Every day, we monitored the phenological evolution of the crop. The phenological stages evaluated were V0 (seed germination), V2 (seedling emergence), V3 (first trifoliate), V4 (third trifoliate), R5 (pre flowering), R6 (flowering), R7 (pod development), R8 (pod filling), and R9 (ripeness) [18].Bean growth and development were weekly monitored from the plots prior to harvest, by measuring leaf area (model LI-3000, LI-COR Instruments), height, canopy ground cover (GC), and above ground dry matter (DM). Leaf area index (LAI) was calculated based on measured plant density and GC was measured from the real horizontal projection of the canopy, calculated from images, taken at 1.5 meters above the surface [19].Measurements of water balance components were carried out from September to November of 1999, when we calculated the actual evapotranspiration from the following equation [19]:(2)
Δ
S
=
P
+
I
+
U
-
R
+
D
+
E
T
,where Δ
S is the variation of water stored in the root zone (mm), P is the rainfall (mm), I is the irrigation depth (mm), U is the upward capillary flow into the root zone from below (mm), R is the runoff (mm), D is the downward drainage out of the root zone (mm), and ET is the water lost by evapotranspiration (mm).We measured soil water content profiles gravimetrically in the top 0.50 m twice a week, in the plots. We estimated the upward and downward capillary using Darcy’s law as described by de Medeiros et al. [15]. Soil water tension was monitored by tensiometers in 0.15 m, 0.30 m, and 0.50 m depth, while daily meteorological data was obtained from an automated weather station located 100 m far from the experimental site.We used the dual crop coefficients approach to simulate the water consumption by plants and compared to that measured in the water balance, as follows [17]:(3)
k
c
=
k
c
b
·
k
a
+
k
s
,where k
c is the crop coefficient, k
c
b is the basal crop coefficient, k
a is a coefficient dependent upon available soil moisture (in this study we considered k
a 1.0), and k
s is a coefficient to adjust for increased surface soil evaporation which occurs after rain or irrigation. Consider(4)
E
T
s
i
m
=
k
c
·
E
T
o
,where ET is the simulated crop evapotranspiration (mm), k
c is the crop coefficient, and E
T
o is the grass reference evapotranspiration (mm).We developed equations relatingk
c
b to accumulated growing degree-days (∑
G), based on previous works [1, 19–22].


## 3. Results and Discussions

### 3.1. Bean Crop Development as Related to Cumulative Growing Degree-Days

We observed that the bean crop development was independent of the soil tillage system, allowing the use of one thermal time scale for predicting phenological events (Table1). The harvest of all treatments occurred when it reached 1,114
∑
G.Table 1
Thermal time of bean crop phenological stages, cv. IAC Carioca, in Campinas city, São Paulo state, Brazil.
Phenological stage
∑
G
Phenological stage
∑
G
V0
15
R5
431
V1
102
R6
504
V2
145
R7
616
V3
176
R8
695
V4
271
R9
897When comparing this result to those obtained by other researchers, we considered only works that adopted, over the whole cycle, the base temperature of 10°C, as reported by de Medeiros et al. [1] and Tisot et al. [13].With the same variety, others have found similar results. For example, Tisot et al. [13] in Piracicaba city, state of São Paulo, Brazil, reported a total of 1,158
∑
G during the whole crop cycle. de Medeiros et al. [1] reported 1,170 growing degree-days from the emergence to the harvest.Flowering, corresponding to R6 stage [18], occurred at 504
∑
G, very close to that obtained by [1], for the same variety under irrigating conditions, when it was accumulated for 532 growing degree-days. Tisot et al. [13], in turn, found 666
∑
G for the same phenological stage.Shortly after flowering in the present study, the bean crop reached 100% GC. Unlike flowering, this event differed among tillage treatments. For the treatments CP and DP, full ground cover was reached at578
∑
G, which was 41 DAE (October 18th), agreeing with [10]. As for the crop sown at RH plot, 100% of GC did not occur until 47 DAE (October 24th), when it had accumulated for 652 growing degree-days, and was at the end of flowering and beginning of the pod development (R7).This result is closer to that obtained by [1], observing 100% of GC for bean crops sown under a planting density of 28 plants m−2, when it was reached around 650
∑
G.After the full ground cover, the bean crop flowering continued to expand, so that the maximum LAI occurred at 51 DAE (October 28th), reaching 4.5 and 3.6 for the CP and RH treatments, respectively, at695
∑
G. This also marked the beginning of pod filling (R8). For the crop sown at DP tillage system, the maximum LAI reached 3.4, at 58 DAE (November 4th), or 793
∑
G, during the R8 stage, very close to that obtained by [1], for the same variety, at 812
∑
G.At the same time maximum LAI was achieved, maximum plant height of 0.49 m, 0.48 m, and 0.44 m for the soil tillage systems CP, DP, and RH was measured, respectively.Dry matter (DM) production was different among the treatments, since the chisel ploughing and revolving hoe tillage systems accumulated their maximum amounts of 509.9 and 522.3 g m−2, respectively, at 65 DAE (877
∑
G), during the pod filling (R8). In disk ploughing treatment, maximum accumulated DM reached 488.1 g m−2 on the harvest day, at 83 DAE (1,114
∑
G). de Medeiros et al. [1] observed a maximum accumulation of bean crop dry matter, cv. IAC-Carioca, of 601.5 g m−2 at 57 DAE, or 950
∑
G.


### 3.2. Bean Crop Growth as Related to Cumulative Growing Degree-Days

Table2 shows the relations that describe the dry matter evolution as a function of the accumulated thermal sum, at the bean crop linear growth stage.Table 2
First degree equation (Y
=
A
+
B
X) relating the accumulated dry matter of the bean crop (g m−2) to the thermal time (degree-days) for soil tillage systems (STS): chisel ploughing (CP), disk ploughing (DP), and revolving hoe (RH), during the linear growth stage, in Campinas city, São Paulo state, Brazil.
STS
A
B
LL
UL
R
2
n
CP
−371.36
0.98
0.73
1.24
0.97∗
∗
6
DP
−319.57
0.87
0.49
1.24
0.91∗
∗
6
RH
−337.01
0.88
0.39
1.37
0.86∗
∗
6
LL: lower limit of confidence interval of the gradient lineB at the level of 95%; UL: upper limit of the confidence interval of the gradient line B at the level of 95%; R
2: determination coefficient; n: number of observations.The average growth rate of the crop at the growth linear phase, from 31 to 65 DAE, equivalent to thermal time from 442 to877
∑
G, was higher at the CP treatment, reaching 0.98 g m−2 degree-days−1. RH and DP treatments achieved 0.88 and 0.87 g m−2 degree-days−1, respectively; however the slope coefficients for linear regression should not be considered different for the soil tillage systems, according to F-distribution (Table 2), since at 95% of significance level the lower and upper limit have overlapping values for all treatments.These results were superior to the ones found by [1] for beans, obtaining 0.73 and 0.84 g m−2 degree-days−1, for population density of 14 and 28 plants m−2, respectively.Table3 presents the relations obtained between the growth parameters evaluated and the accumulated growing degree-days index.Table 3
Polynomial equations (Y
=
β
0
+
β
1
X
+
β
2
X
2
+
β
3
X
3) relating the bean crop growth parameters to thermal time (degree-days accumulated), for each soil tillage system (STS): chisel ploughing (CP), disk ploughing (DP), and revolving hoe (RH), and considering all STS as a single data set (All), in Campinas city, São Paulo state, Brazil.
STS
β
0
β
1
β
2
β
3
n
R
2
Vegetal coverage percentage (%)
CP
109.5
−0.716
1.92 × 10−3
−1.26 × 10−6
11
0.97∗
∗
RH
114.5
−0.803
2.05 × 10−3
−1.31 × 10−6
12
0.97∗
∗
DP
116.2
−0.763
1.99 × 10−3
−1.30 × 10−6
11
0.97∗
∗
All
111.1
−0.745
1.95 × 10−3
−1.27 × 10−6
34
0.95∗
∗
Leaf area index
CP
−3.36
1.19 × 10−2
4.84 × 10−6
−1.16 × 10−8
9
0.91∗
∗
RH
−2.30
5.43 × 10−2
1.60 × 10−5
−1.78 × 10−8
9
0.95∗
∗
DP
−2.36
7.25 × 10−2
1.04 × 10−5
−1.37 × 10−8
9
0.96∗
∗
All
−3.00
1.01 × 10−2
7.27 × 10−6
−1.28 × 10−8
27
0.93∗
∗
Dry matter (g m−2)
CP
183.7
−1.647
4.18 × 10−3
−2.20 × 10−6
11
0.98∗
∗
RH
126.6
−1.145
2.95 × 10−3
−1.45 × 10−6
11
0.95∗
∗
DP
142.7
−1.295
3.35 × 10−3
−1.71 × 10−6
11
0.97∗
∗
All
153.4
−1.383
3.54 × 10−3
−1.82 × 10−6
33
0.96∗
∗
Plant height (cm)
CP
16.00
−0.0927
4.15 × 10−4
−3.08 × 10−7
9
0.99∗
∗
RH
27.55
−0.173
5.38 × 10−4
−3.67 × 10−7
9
0.98∗
∗
DP
27.17
−0.156
5.21 × 10−4
−3.65 × 10−7
9
0.99∗
∗
All
23.57
−0.141
4.91 × 10−4
−3.47 × 10−7
27
0.96∗
∗The adjusted curves show the high significance level of the obtained relations (P
<
0.05), agreeing with the results of [1], who had already found highly significant polynomial relations among GC, LAI, and DM, with ∑
G for the irrigated bean crop. However, the relative differences of crop growth performance observed in this study were not reflected in the equation parameters presented in Table 3. Thus, it was possible to use a single equation to describe the evolution of each growth index evaluated based on the accumulated growing degree-days for the irrigated bean crop submitted to different soil tillage systems.


### 3.3. Water Consumption of Beans as Related to Cumulative Growing Degree-Days

We estimated daily evapotranspiration for irrigated bean crop from dual crop coefficient approach (3) and grass E
T
o reference (4). To plot k
c curves we followed the FAO classification of phenological stages and that proposed by [18], both using thermal units, as follows.


#### 3.3.1. Initial Period, Corresponding to Phenological Stages from V0 to V4 (15 to272
∑
G)

In this period,k
c
b is constant and independent of crop growth, because it is strongly influenced by spectral soil characteristics as albedo [17]. de Medeiros and Arruda [20] measured a mean k
c
b of 0.38 for red Latosol in compensation lysimeters, adapted and tested to represent the necessary conditions to estimate k
c
b, that is, full water supply for plant growth and dry soil surface.


#### 3.3.2. Crop Development Period, Corresponding to Phenological Stages from V4 to R8 (272 to695
∑
G)

Significant relations betweenk
c
b and crop growth parameters have been observed in different crops [10, 11, 19, 21, 23]. During the bean crop season we estimated daily LAI for each soil tillage system using the single equation presented in Table 3, as follows:(5)
L
A
I
=
-
3.00
+
1.01
×
1
0
-
2
∑
G
+
7.27
×
1
0
-
6
∑
G
2
-
1.28
×
1
0
-
8
∑
G
3
.We calculated daily basal crop coefficient for bean crop from the following equation developed by de Medeiros et al. [19]:(6)
k
c
b
=
0.367
-
1.44
×
1
0
-
2
L
A
I
+
0.206
L
A
I
2
-
4.29
×
1
0
-
2
L
A
I
3
.After that, we derived a relationship to estimate dailyk
c
b based on accumulated growing degree-days for the crop development period, as follows:(7)
k
c
b
=
2.25
-
1.57
×
1
0
-
2
∑
G
+
4.02
×
1
0
-
5
∑
G
2
-
2.91
×
1
0
-
8
∑
G
3
,
n
=
18
,
R
2
=
0.97
∗
∗
.


#### 3.3.3. Mid-Season Period, Corresponding to Phenological Stages from R8 to R9 (695 to807
∑
G)

In this period, we adoptedk
c
b equal to 1.2 when the crop reached full ground cover and it was independent of crop growth, following the recommendation of [9, 10, 12, 19, 22, 23].


#### 3.3.4. Late Season Period, Corresponding to Phenological Stages from R9 to Harvest (807 to1114
∑
G)

We measured LAI for each treatment during the late season period, when the crop begins the senescence. From these measurements we estimatedk
c
b (7). After that, we derived the following equation to estimate daily k
c
b to all treatments, during the late season:(8)
k
c
b
=
-
0.98
+
5.87
×
1
0
-
3
∑
G
+
4.23
×
1
0
-
6
∑
G
2
,
n
=
9
,
R
2
=
0.98
∗
∗
.Based on the pattern of red Latosol surface drying and according to de Medeiros et al. [19], we adopted k
c equal to 1.2 during the rain or irrigation event and on the following day. Figure 1 shows the simulated crop curve for irrigated bean crop under different soil tillage systems where one can see the “spikes” in the k
c curve due to the increased evaporation of wet soil [23].Figure 1
Crop coefficient curve for bean crop sown in the following soil tillage systems treatments: (a) revolving hoe, (b) disk ploughing, and (c) chisel ploughing, in Campinas city, São Paulo state, Brazil.
(a)
(b)
(c)We evaluated the performance of crop coefficient estimates based on∑
G to predict daily water consumption of an irrigated field area managed under different soil tillage systems. Figure 2 presents a comparison between the simulated evapotranspiration based on crop curve (Figure 1) and that determined from water balance under field conditions. From this figure it was possible to derive the following equation:(9)
E
T
s
i
m
=
1.26
+
0.94
·
E
T
,
n
=
35
,
R
2
=
0.93
∗
∗
,where E
T
s
i
m is the simulated crop evapotranspiration (mm) and ET is the observed crop evapotranspiration (mm).Figure 2
Observed and simulated evapotranspiration determined from dual crop coefficient related to degree-days, for bean crop sown in different soil tillage systems treatments.We can see the strong linear relationship (P
<
0.01) between simulated and observed evapotranspiration, which was corroborated when comparing the total observed evapotranspiration (2) and that predicted. In the field ET reached 384 mm, 387 mm, and 375 mm and that simulated was 378 mm, 373 mm, and 349 mm to CP, DP, and RH, respectively, representing a mean difference of 4%.These results confirm that the use of dual crop coefficient (related to accumulated growing degree-days) and the grass reference evapotranspiration allowed a transferable way to predict water consumption for irrigated bean crop, independent of tillage system.Finally, the main results of this study suggest that irrigated bean crop development, growth, and water consumption are very similar among the different soil tillage systems. One of the possible causes was the drip irrigation system that provided high water application efficiency and that reduced water tension on the soil profile during all the trial. These characteristics decrease the effects caused by the soil tillage systems over eight years, mainly at soil physical parameters, like bulk density. In the rainy season the effect of soil tillage systems on the crop performance is much more evident, as reported by de Medeiros et al. [16].


## 3.1. Bean Crop Development as Related to Cumulative Growing Degree-Days

We observed that the bean crop development was independent of the soil tillage system, allowing the use of one thermal time scale for predicting phenological events (Table1). The harvest of all treatments occurred when it reached 1,114
∑
G.Table 1
Thermal time of bean crop phenological stages, cv. IAC Carioca, in Campinas city, São Paulo state, Brazil.
Phenological stage
∑
G
Phenological stage
∑
G
V0
15
R5
431
V1
102
R6
504
V2
145
R7
616
V3
176
R8
695
V4
271
R9
897When comparing this result to those obtained by other researchers, we considered only works that adopted, over the whole cycle, the base temperature of 10°C, as reported by de Medeiros et al. [1] and Tisot et al. [13].With the same variety, others have found similar results. For example, Tisot et al. [13] in Piracicaba city, state of São Paulo, Brazil, reported a total of 1,158
∑
G during the whole crop cycle. de Medeiros et al. [1] reported 1,170 growing degree-days from the emergence to the harvest.Flowering, corresponding to R6 stage [18], occurred at 504
∑
G, very close to that obtained by [1], for the same variety under irrigating conditions, when it was accumulated for 532 growing degree-days. Tisot et al. [13], in turn, found 666
∑
G for the same phenological stage.Shortly after flowering in the present study, the bean crop reached 100% GC. Unlike flowering, this event differed among tillage treatments. For the treatments CP and DP, full ground cover was reached at578
∑
G, which was 41 DAE (October 18th), agreeing with [10]. As for the crop sown at RH plot, 100% of GC did not occur until 47 DAE (October 24th), when it had accumulated for 652 growing degree-days, and was at the end of flowering and beginning of the pod development (R7).This result is closer to that obtained by [1], observing 100% of GC for bean crops sown under a planting density of 28 plants m−2, when it was reached around 650
∑
G.After the full ground cover, the bean crop flowering continued to expand, so that the maximum LAI occurred at 51 DAE (October 28th), reaching 4.5 and 3.6 for the CP and RH treatments, respectively, at695
∑
G. This also marked the beginning of pod filling (R8). For the crop sown at DP tillage system, the maximum LAI reached 3.4, at 58 DAE (November 4th), or 793
∑
G, during the R8 stage, very close to that obtained by [1], for the same variety, at 812
∑
G.At the same time maximum LAI was achieved, maximum plant height of 0.49 m, 0.48 m, and 0.44 m for the soil tillage systems CP, DP, and RH was measured, respectively.Dry matter (DM) production was different among the treatments, since the chisel ploughing and revolving hoe tillage systems accumulated their maximum amounts of 509.9 and 522.3 g m−2, respectively, at 65 DAE (877
∑
G), during the pod filling (R8). In disk ploughing treatment, maximum accumulated DM reached 488.1 g m−2 on the harvest day, at 83 DAE (1,114
∑
G). de Medeiros et al. [1] observed a maximum accumulation of bean crop dry matter, cv. IAC-Carioca, of 601.5 g m−2 at 57 DAE, or 950
∑
G.


## 3.2. Bean Crop Growth as Related to Cumulative Growing Degree-Days

Table2 shows the relations that describe the dry matter evolution as a function of the accumulated thermal sum, at the bean crop linear growth stage.Table 2
First degree equation (Y
=
A
+
B
X) relating the accumulated dry matter of the bean crop (g m−2) to the thermal time (degree-days) for soil tillage systems (STS): chisel ploughing (CP), disk ploughing (DP), and revolving hoe (RH), during the linear growth stage, in Campinas city, São Paulo state, Brazil.
STS
A
B
LL
UL
R
2
n
CP
−371.36
0.98
0.73
1.24
0.97∗
∗
6
DP
−319.57
0.87
0.49
1.24
0.91∗
∗
6
RH
−337.01
0.88
0.39
1.37
0.86∗
∗
6
LL: lower limit of confidence interval of the gradient lineB at the level of 95%; UL: upper limit of the confidence interval of the gradient line B at the level of 95%; R
2: determination coefficient; n: number of observations.The average growth rate of the crop at the growth linear phase, from 31 to 65 DAE, equivalent to thermal time from 442 to877
∑
G, was higher at the CP treatment, reaching 0.98 g m−2 degree-days−1. RH and DP treatments achieved 0.88 and 0.87 g m−2 degree-days−1, respectively; however the slope coefficients for linear regression should not be considered different for the soil tillage systems, according to F-distribution (Table 2), since at 95% of significance level the lower and upper limit have overlapping values for all treatments.These results were superior to the ones found by [1] for beans, obtaining 0.73 and 0.84 g m−2 degree-days−1, for population density of 14 and 28 plants m−2, respectively.Table3 presents the relations obtained between the growth parameters evaluated and the accumulated growing degree-days index.Table 3
Polynomial equations (Y
=
β
0
+
β
1
X
+
β
2
X
2
+
β
3
X
3) relating the bean crop growth parameters to thermal time (degree-days accumulated), for each soil tillage system (STS): chisel ploughing (CP), disk ploughing (DP), and revolving hoe (RH), and considering all STS as a single data set (All), in Campinas city, São Paulo state, Brazil.
STS
β
0
β
1
β
2
β
3
n
R
2
Vegetal coverage percentage (%)
CP
109.5
−0.716
1.92 × 10−3
−1.26 × 10−6
11
0.97∗
∗
RH
114.5
−0.803
2.05 × 10−3
−1.31 × 10−6
12
0.97∗
∗
DP
116.2
−0.763
1.99 × 10−3
−1.30 × 10−6
11
0.97∗
∗
All
111.1
−0.745
1.95 × 10−3
−1.27 × 10−6
34
0.95∗
∗
Leaf area index
CP
−3.36
1.19 × 10−2
4.84 × 10−6
−1.16 × 10−8
9
0.91∗
∗
RH
−2.30
5.43 × 10−2
1.60 × 10−5
−1.78 × 10−8
9
0.95∗
∗
DP
−2.36
7.25 × 10−2
1.04 × 10−5
−1.37 × 10−8
9
0.96∗
∗
All
−3.00
1.01 × 10−2
7.27 × 10−6
−1.28 × 10−8
27
0.93∗
∗
Dry matter (g m−2)
CP
183.7
−1.647
4.18 × 10−3
−2.20 × 10−6
11
0.98∗
∗
RH
126.6
−1.145
2.95 × 10−3
−1.45 × 10−6
11
0.95∗
∗
DP
142.7
−1.295
3.35 × 10−3
−1.71 × 10−6
11
0.97∗
∗
All
153.4
−1.383
3.54 × 10−3
−1.82 × 10−6
33
0.96∗
∗
Plant height (cm)
CP
16.00
−0.0927
4.15 × 10−4
−3.08 × 10−7
9
0.99∗
∗
RH
27.55
−0.173
5.38 × 10−4
−3.67 × 10−7
9
0.98∗
∗
DP
27.17
−0.156
5.21 × 10−4
−3.65 × 10−7
9
0.99∗
∗
All
23.57
−0.141
4.91 × 10−4
−3.47 × 10−7
27
0.96∗
∗The adjusted curves show the high significance level of the obtained relations (P
<
0.05), agreeing with the results of [1], who had already found highly significant polynomial relations among GC, LAI, and DM, with ∑
G for the irrigated bean crop. However, the relative differences of crop growth performance observed in this study were not reflected in the equation parameters presented in Table 3. Thus, it was possible to use a single equation to describe the evolution of each growth index evaluated based on the accumulated growing degree-days for the irrigated bean crop submitted to different soil tillage systems.


## 3.3. Water Consumption of Beans as Related to Cumulative Growing Degree-Days

We estimated daily evapotranspiration for irrigated bean crop from dual crop coefficient approach (3) and grass E
T
o reference (4). To plot k
c curves we followed the FAO classification of phenological stages and that proposed by [18], both using thermal units, as follows.


### 3.3.1. Initial Period, Corresponding to Phenological Stages from V0 to V4 (15 to272
∑
G)

In this period,k
c
b is constant and independent of crop growth, because it is strongly influenced by spectral soil characteristics as albedo [17]. de Medeiros and Arruda [20] measured a mean k
c
b of 0.38 for red Latosol in compensation lysimeters, adapted and tested to represent the necessary conditions to estimate k
c
b, that is, full water supply for plant growth and dry soil surface.


### 3.3.2. Crop Development Period, Corresponding to Phenological Stages from V4 to R8 (272 to695
∑
G)

Significant relations betweenk
c
b and crop growth parameters have been observed in different crops [10, 11, 19, 21, 23]. During the bean crop season we estimated daily LAI for each soil tillage system using the single equation presented in Table 3, as follows:(5)
L
A
I
=
-
3.00
+
1.01
×
1
0
-
2
∑
G
+
7.27
×
1
0
-
6
∑
G
2
-
1.28
×
1
0
-
8
∑
G
3
.We calculated daily basal crop coefficient for bean crop from the following equation developed by de Medeiros et al. [19]:(6)
k
c
b
=
0.367
-
1.44
×
1
0
-
2
L
A
I
+
0.206
L
A
I
2
-
4.29
×
1
0
-
2
L
A
I
3
.After that, we derived a relationship to estimate dailyk
c
b based on accumulated growing degree-days for the crop development period, as follows:(7)
k
c
b
=
2.25
-
1.57
×
1
0
-
2
∑
G
+
4.02
×
1
0
-
5
∑
G
2
-
2.91
×
1
0
-
8
∑
G
3
,
n
=
18
,
R
2
=
0.97
∗
∗
.


### 3.3.3. Mid-Season Period, Corresponding to Phenological Stages from R8 to R9 (695 to807
∑
G)

In this period, we adoptedk
c
b equal to 1.2 when the crop reached full ground cover and it was independent of crop growth, following the recommendation of [9, 10, 12, 19, 22, 23].


### 3.3.4. Late Season Period, Corresponding to Phenological Stages from R9 to Harvest (807 to1114
∑
G)

We measured LAI for each treatment during the late season period, when the crop begins the senescence. From these measurements we estimatedk
c
b (7). After that, we derived the following equation to estimate daily k
c
b to all treatments, during the late season:(8)
k
c
b
=
-
0.98
+
5.87
×
1
0
-
3
∑
G
+
4.23
×
1
0
-
6
∑
G
2
,
n
=
9
,
R
2
=
0.98
∗
∗
.Based on the pattern of red Latosol surface drying and according to de Medeiros et al. [19], we adopted k
c equal to 1.2 during the rain or irrigation event and on the following day. Figure 1 shows the simulated crop curve for irrigated bean crop under different soil tillage systems where one can see the “spikes” in the k
c curve due to the increased evaporation of wet soil [23].Figure 1
Crop coefficient curve for bean crop sown in the following soil tillage systems treatments: (a) revolving hoe, (b) disk ploughing, and (c) chisel ploughing, in Campinas city, São Paulo state, Brazil.
(a)
(b)
(c)We evaluated the performance of crop coefficient estimates based on∑
G to predict daily water consumption of an irrigated field area managed under different soil tillage systems. Figure 2 presents a comparison between the simulated evapotranspiration based on crop curve (Figure 1) and that determined from water balance under field conditions. From this figure it was possible to derive the following equation:(9)
E
T
s
i
m
=
1.26
+
0.94
·
E
T
,
n
=
35
,
R
2
=
0.93
∗
∗
,where E
T
s
i
m is the simulated crop evapotranspiration (mm) and ET is the observed crop evapotranspiration (mm).Figure 2
Observed and simulated evapotranspiration determined from dual crop coefficient related to degree-days, for bean crop sown in different soil tillage systems treatments.We can see the strong linear relationship (P
<
0.01) between simulated and observed evapotranspiration, which was corroborated when comparing the total observed evapotranspiration (2) and that predicted. In the field ET reached 384 mm, 387 mm, and 375 mm and that simulated was 378 mm, 373 mm, and 349 mm to CP, DP, and RH, respectively, representing a mean difference of 4%.These results confirm that the use of dual crop coefficient (related to accumulated growing degree-days) and the grass reference evapotranspiration allowed a transferable way to predict water consumption for irrigated bean crop, independent of tillage system.Finally, the main results of this study suggest that irrigated bean crop development, growth, and water consumption are very similar among the different soil tillage systems. One of the possible causes was the drip irrigation system that provided high water application efficiency and that reduced water tension on the soil profile during all the trial. These characteristics decrease the effects caused by the soil tillage systems over eight years, mainly at soil physical parameters, like bulk density. In the rainy season the effect of soil tillage systems on the crop performance is much more evident, as reported by de Medeiros et al. [16].


## 3.3.1. Initial Period, Corresponding to Phenological Stages from V0 to V4 (15 to272
∑
G)

In this period,k
c
b is constant and independent of crop growth, because it is strongly influenced by spectral soil characteristics as albedo [17]. de Medeiros and Arruda [20] measured a mean k
c
b of 0.38 for red Latosol in compensation lysimeters, adapted and tested to represent the necessary conditions to estimate k
c
b, that is, full water supply for plant growth and dry soil surface.


## 3.3.2. Crop Development Period, Corresponding to Phenological Stages from V4 to R8 (272 to695
∑
G)

Significant relations betweenk
c
b and crop growth parameters have been observed in different crops [10, 11, 19, 21, 23]. During the bean crop season we estimated daily LAI for each soil tillage system using the single equation presented in Table 3, as follows:(5)
L
A
I
=
-
3.00
+
1.01
×
1
0
-
2
∑
G
+
7.27
×
1
0
-
6
∑
G
2
-
1.28
×
1
0
-
8
∑
G
3
.We calculated daily basal crop coefficient for bean crop from the following equation developed by de Medeiros et al. [19]:(6)
k
c
b
=
0.367
-
1.44
×
1
0
-
2
L
A
I
+
0.206
L
A
I
2
-
4.29
×
1
0
-
2
L
A
I
3
.After that, we derived a relationship to estimate dailyk
c
b based on accumulated growing degree-days for the crop development period, as follows:(7)
k
c
b
=
2.25
-
1.57
×
1
0
-
2
∑
G
+
4.02
×
1
0
-
5
∑
G
2
-
2.91
×
1
0
-
8
∑
G
3
,
n
=
18
,
R
2
=
0.97
∗
∗
.


## 3.3.3. Mid-Season Period, Corresponding to Phenological Stages from R8 to R9 (695 to807
∑
G)

In this period, we adoptedk
c
b equal to 1.2 when the crop reached full ground cover and it was independent of crop growth, following the recommendation of [9, 10, 12, 19, 22, 23].


## 3.3.4. Late Season Period, Corresponding to Phenological Stages from R9 to Harvest (807 to1114
∑
G)

We measured LAI for each treatment during the late season period, when the crop begins the senescence. From these measurements we estimatedk
c
b (7). After that, we derived the following equation to estimate daily k
c
b to all treatments, during the late season:(8)
k
c
b
=
-
0.98
+
5.87
×
1
0
-
3
∑
G
+
4.23
×
1
0
-
6
∑
G
2
,
n
=
9
,
R
2
=
0.98
∗
∗
.Based on the pattern of red Latosol surface drying and according to de Medeiros et al. [19], we adopted k
c equal to 1.2 during the rain or irrigation event and on the following day. Figure 1 shows the simulated crop curve for irrigated bean crop under different soil tillage systems where one can see the “spikes” in the k
c curve due to the increased evaporation of wet soil [23].Figure 1
Crop coefficient curve for bean crop sown in the following soil tillage systems treatments: (a) revolving hoe, (b) disk ploughing, and (c) chisel ploughing, in Campinas city, São Paulo state, Brazil.
(a)
(b)
(c)We evaluated the performance of crop coefficient estimates based on∑
G to predict daily water consumption of an irrigated field area managed under different soil tillage systems. Figure 2 presents a comparison between the simulated evapotranspiration based on crop curve (Figure 1) and that determined from water balance under field conditions. From this figure it was possible to derive the following equation:(9)
E
T
s
i
m
=
1.26
+
0.94
·
E
T
,
n
=
35
,
R
2
=
0.93
∗
∗
,where E
T
s
i
m is the simulated crop evapotranspiration (mm) and ET is the observed crop evapotranspiration (mm).Figure 2
Observed and simulated evapotranspiration determined from dual crop coefficient related to degree-days, for bean crop sown in different soil tillage systems treatments.We can see the strong linear relationship (P
<
0.01) between simulated and observed evapotranspiration, which was corroborated when comparing the total observed evapotranspiration (2) and that predicted. In the field ET reached 384 mm, 387 mm, and 375 mm and that simulated was 378 mm, 373 mm, and 349 mm to CP, DP, and RH, respectively, representing a mean difference of 4%.These results confirm that the use of dual crop coefficient (related to accumulated growing degree-days) and the grass reference evapotranspiration allowed a transferable way to predict water consumption for irrigated bean crop, independent of tillage system.Finally, the main results of this study suggest that irrigated bean crop development, growth, and water consumption are very similar among the different soil tillage systems. One of the possible causes was the drip irrigation system that provided high water application efficiency and that reduced water tension on the soil profile during all the trial. These characteristics decrease the effects caused by the soil tillage systems over eight years, mainly at soil physical parameters, like bulk density. In the rainy season the effect of soil tillage systems on the crop performance is much more evident, as reported by de Medeiros et al. [16].


## 4. Conclusion

The phenological stages of irrigated bean crop were independent of the soil tillage system.Chisel ploughing had superior GC, LAI, and DM compared to others.The relations between crop growth parameters and accumulated growing degree-days were highly significant; however there was no statistical difference among tillage systems. Therefore, it was possible to use a single equation to forecast each crop growth parameter based on accumulated growing degree-days for irrigated beans, regardless of soil tillage systems.Dual crop coefficients approach based on accumulated growing degree-days for irrigated bean crop allowed forecasting the total water consumption under distinct soil tillage systems. The mean difference between measured and estimated values of total evapotranspiration reached 4%.



---

*Source: 8065985-2016-06-26.xml*