Validation and calibration
To evaluate Bengal gram production and water usage efficiency under various climatic conditions, field experiment data from the Guziliamparai Block of Dindigal District, Tamil Nadu, was gathered using the AquaCrop model as a tool. The experimental site is situated at 10.6809°N latitude and 78.1130°E longitude, 120 m above mean sea level.
Climate and weather
Guziliamparai Block in Dindigal District has a moderate climate, with typical maximum temperatures ranging from 29.0 to 37.3°C. The average amount of precipitation each year is 840.5 mm, with most of it falling during the North-East monsoon season as well as some in the summer. The majority of the agricultural areas have red sand soil.
Soil
The soil on the experimental field is a sandy loam that drains well. The physical and chemical parameters of the original composite soil sample were investigated and the findings are shown in Table 1. The soil is a sandy clay loam with a low availability of N and medium availability of P and K.
Variety
Co-4 was used in the study.
Details of field experiment
Crop period-2018, 2019, 2020, 2021, 2022
Treatment details
i. Dates of sowing: 4
D1- 1
st November
D2- 15
th November
D3- 1
st December
D4 - 15
th December
Irrigation methods: Ridges and furrows.
Input requirement for setting up AquaCrop
The AquaCrop model relies on a very small set of explicit parameters and mostly obvious input variables that are either widely used or can be derived using simple processes. The input consists of weather data, crop and soil characteristics and management practices that define the environment in which the crop will grow (Fig 1).
Validation of aquacrop model for bengalgram
The AquaCrop model was validated using field experimental data from the Guziliamparai Block in the Dindigal District, Tamil Nadu. Dates from four seeding experiments were collected.
Climate data
In this study, maximum and minimum air temperatures (C), rainfall (mm) and relative humidity (%) using IMD gridded data were employed for the study period (2018-2022).
Crop data
The crop’s rooting depth, initial canopy, canopy expansion, flowering and yield output were all simulated using the AquaCrop model.
Soil data
The model requires a comprehensive dataset for each soil texture, including the wilting point, field capacity, bulk density, hydraulic conductivity, saturation, totally accessible water (TAW), nutritional status and initial soil water content. These essential soil characteristics were identified by inspecting the soil of the experimental field.
Irrigation application
The four sowing experiment dates were used to establish the experimental plots and irrigation was done in accordance with the crop’s water needs.
For model validation, a number of statistical indicators are utilized, including: The experimental plots were established using the four sowing experiment dates and irrigation was carried out in line with the crop’s water requirements.
For model validation, a variety of statistical indicators are used, including:
Root mean square error (RMSE)
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)
Where,
Si and Oi = Simulated and actual values of the study’s variables, respectively. Consider grain yield and total biomass.
Where,
n = Mean of the measured variables.
Normalized RMSE provides a measurement (%) of the relative difference between simulated and real data (RMSEn). The simulation is deemed excellent if the normalised root-mean-square error (RMSE) is less than 10%. It is regarded as good if it is between 10% and 20%. It is regarded as fair if it is between 20% and 30%. It is harmful if it is greater than 30%
(Loague and Green 1991). The RMSEn was calculated using an equation:
BIAS (BIAS) was calculated as
Oi stands for observed yield, n for the number of observations and Si for simulated yield. BIAS calculates the average tendency of simulated data to be larger or smaller than their genuine counterparts
(Gupta et al., 1999). It is advised to use BIAS values of small magnitude. Positive values point to a model bias toward overestimation, whereas negative values point to a bias toward underestimation
(Gupta et al., 1999).
Coefficient of determination (R2) was calculated as follow
The squared value of the coefficient of correlation is what Bravais-Pearson refers to as the coefficient of determination (r2). It is predicated on:
![](data:image/png;base64,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)
Utilising O real-world data and S simulations. R2 may also be expressed as the squared ratio between the covariance and the multiplied standard deviations of the observed and simulated values. As a consequence, it contrasts the single dispersion of the observed and simulated series with their combined dispersion. R2 measures how much of the observed dispersion can be explained by simulation and ranges from 0 to 1.
Index of agreement (d)
Lack order to overcome E and r2’s insensitivity to changes in the observed and simulated means and variances,
Willmot (1981) created the index of agreement d.
(Legates and McCabe, 1999).
Willmot (1984) said that the ratio between the mean square error and the potential error is the index of agreement.
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)
Where,
n = Number of observations,
O
i = Observation.
S
i = Simulation.
The bigger the difference between the index value and one and vice versa, the higher the agreement between the two variables under comparison, according to the D-statistic.
Impact of varied climatic conditions on Bengal gram productivity and water requirements across these distinct agro-climatic zones
Location
Tamil Nadu is characterized by a varied topography, encompassing coastal plains, hilly regions and plateaus, contributing to a rich agro-climatic diversity. The state is divided into several Agro-Climatic Zones (ACZ) (Fig 1), each exhibiting unique environmental characteristics influencing agricultural practices. These zones include the Western zone (WZ), Northwestern zone (NWZ), Northeastern zone (NEZ), Cauvery delta zone (CDZ), Southern zone (SZ). The selection of these specific zones for the study was based on their prominence in bengal gram cultivation and their representation of the diverse agro-climatic conditions prevalent in Tamil Nadu. The research aimed to provide comprehensive insightsinto the impact of varied climatic conditions on Bengal gram productivity and water requirements across these distinct Agro-Climatic Zones.
Input requirement for setting up the AquaCrop model
The AquaCrop model employs a concise set of parameters and input variables that are commonly used or can be determined using simple methods. Input consists of weather data, crop and soil characteristics and management practices that define the environment in which the crop will be developed.
Weather
Comprehensive data on rainfall and temperature spanning from 1980 to 2022, sourced from the India Meteorological Department (IMD), were incorporated into the AquaCrop model.
Soil data
A digital soil map of Tamil Nadu at a scale 1:50,000 obtained from Department of Remote Sensing and Geographical Information System, Tamil Nadu Agricultural University (TNAU) were used to define the soils of Tamil Nadu portion of the basin.
Assessing the impact of climate change on water requirement, WUE and yield of bengal gram in different agro-climatic Zones of Tamil Nadu
Cropping districts with high efficiency were delineated across various agro-climatic zones (ACZ) in Tamil Nadu (Fig 2), prioritizing regions with the largest bengal gram cultivation areas, as reported in the Season and Crop Report by the Department of Economics and Statistics, Government of Tamil Nadu Seasonal Crop Report, (2016). This model was employed to simulate both the crop water requirements and bengal gram yields over the past 43 years. The simulations were conducted with temperature variations of 2°C, 3°C and 4°C, enabling a detailed analysis of the impact of elevated temperatures on bengal gram crops.