Agricultural Water Management 117 (2013) 93–105
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Agricultural Water Management
j ourna l ho me page: www.elsevier.com/locate/agwat
Dual crop coefficient modelling applied to the winter wheat–summer maize
crop sequence in North China Plain: Basal crop coefficients and soil
evaporation component
Nana Zhao
a
, Yu Liu
a
, Jiabing Cai
a
, Paula Paredes
b
, Ricardo D. Rosa
b
, Luis S. Pereira
b,∗
a
State Key Laboratory of Simulation and Regulation of Water Cycle in River Basin, China Institute of Water Resources and Hydropower Research, Beijing 100038, China
b
CEER-Biosystems Engineering, Institute of Agronomy, Technical University of Lisbon, Tapada da Ajuda, 1349-017 Lisbon, Portugal
a r t i c l e i n f o
Article history:
Received 29 June 2012
Accepted 15 November 2012
Available online 12 December 2012
Keywords:
SIMDualKc model
Basal crop coefficients
Ratio evaporation to evapotranspiration
Microlysimeters
TDR
Soil water balance
a b s t r a c t
The dual crop coefficient (K
c
) approach to estimate crop evapotranspiration (ET
c
) separately considers
soil evaporation (E) and plant transpiration (T) by computing a soil evaporation coefficient (K
e
) and a
basal crop coefficient (K
cb
), respectively, with K
c
= K
e
+ K
cb
. This approach may be more precise than the
single K
c
approach particularly when the crops incompletely cover the ground. The SIMDualKc model,
which is adopted in this study, is an irrigation scheduling simulation model that uses a daily time-step
for performing two separate soil water balances, one for the soil evaporation layer from which K
e
is
computed, and the other for the entire root zone, thus allowing to compute the actual K
cb
adjusted to the
soil moisture conditions (K
cb adj
). The standard K
cb
is corrected to the climate, crop density and height.
Two years of field experimental data relative to winter wheat and summer maize were used for model
calibration and validation using soil water content data observed with time-domain reflectometry (TDR)
in a silt loam soil. Field data also include E measured with microlysimeters placed along the crop rows. The
calibration procedure consisted in adjusting the basal crop coefficients, the soil evaporation parameters
used to compute K
e
, and the soil water depletion fraction for no stress (p) to achieve the best fit of the
observed soil water content data. The calibrated K
cb
values for winter wheat were 0.25 for the initial
and the soil frozen period, 1.15 for the mid-season and 0.30 at harvesting. For the summer maize, the
initial, mid season and end season K
cb
were respectively 0.2, 1.10 and 0.45. Model results have shown
a good agreement between model predictions and field observations of the soil water content of both
crops, with root mean square errors of estimates (RMSE) of about 0.01 m
3
m
-3
for both the calibration
and validation. The modelling efficiency EF and the index of agreement d
IA
were larger than 0.96 and 0.99,
respectively, thus indicating good performance of modelling with SIMDualKc. Model estimates of E using
Ritchie’s approach were compared with microlysimeter data; for winter wheat a RMSE = 0.37 mm d
-1
was
obtained, while for maize RMSE of 0.45 and 0.49 mm d
-1
were obtained for both years of observations.
Results for soil evaporation allow confirming the appropriateness of using Ritchie’s model to estimate
soil evaporation of a cropped soil. E averaged 124 mm for wheat, representing 29% of ET
c
, and 146 mm for
summer maize, i.e. 41% of ET
c
. In conclusion, results show that the model is appropriate to simulate the
soil water balance adopting the dual K
c
approach and may be further used to develop improved irrigation
schedules for the winter wheat–summer maize crop sequence in North China.
© 2012 Elsevier B.V. All rights reserved.
1. Introduction
The main crops in the North China Plain are irrigated winter
wheat followed by summer maize, generally rainfed. Numerous
studies refer to this crop sequence and various approximations
were developed to assess the respective crop coefficients (Liu
et al., 1998; Liu and Pereira, 2000; Kang et al., 2003), to develop
∗
Corresponding author. Tel.: +351 213653339; fax: +351 213653287.
E-mail address: lspereira@isa.utl.pt (L.S. Pereira).
appropriate irrigation scheduling programmes (Liu et al., 2000; Li
et al., 2005, 2011; Shang and Mao, 2006), to assess impacts and
feasibility of deficit irrigation (Zhang et al., 1998, 2003), to evaluate
water saving practices (Pereira et al., 2003; Zhang et al., 2003,
2006; Fang et al., 2010), or aiming at a better understanding of
processes relative to crops water use and saving (Xu and Mermoud,
2003; Zhang et al., 2003; Hu et al., 2005; Liu et al., 2006; Cai et al.,
2009). Generally these studies adopted the single time averaged
crop coefficient (K
c
) approach to estimate crop evapotranspiration
(ET
c
) and often used experimentation involving the collection
of weather, soil and crop data. Soil water balance models to
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http://dx.doi.org/10.1016/j.agwat.2012.11.008