Log in

Application of regression modeling for the prediction of field crop coefficients in a humid sub-tropical agro-climate: a study in Hamirpur district of Himachal Pradesh (India)

  • Original Article
  • Published:
Modeling Earth Systems and Environment Aims and scope Submit manuscript

Abstract

Prediction of crop coefficients is important to establish optimized irrigation water scheduling and management practices. In the present study, regression modeling was utilized to predict the field crop coefficients of crops grown in the humid sub-tropical agro-climate of Hamirpur (Himachal Pradesh, India). Field experiments were conducted on seven crops categorized as Cereals (Wheat and Maize), Oilseed (Indian mustard), Vegetable (Potato), Fodder crop (Sorghum), Green manure crop (Guar), and Legumes (Pea). The crop coefficients were determined using a modification and field-based approach. In the modification approach, FAO-recommended standard crop coefficients were modified using the crop coefficient modification procedure given in FAO-56. In the field-based approach, crop coefficients were obtained as the ratio of field crop evapotranspiration to the reference evapotranspiration. FAO modified crop coefficients presented satisfactory performance with the field crop coefficients (squared error = 0.0009–0.0225; R2 = 0.80–0.89; bias error = − 0.09–0.15). New crop coefficients were developed by performing regression modeling between the FAO modified and field-based crop coefficients. Furthermore, new crop evapotranspiration values were obtained using new crop coefficients, which presented a strong and reliable agreement with the field crop evapotranspiration values, i.e., they exhibited small bias error = 10–24 mm, and high R2 = 0.90–0.93. The developed regression equations can be employed as useful tools for predicting field crop coefficients from the FAO-56 modified crop coefficients, subsequently resulting in the precise estimation of the crop evapotranspiration.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Subscribe and save

Springer+ Basic
EUR 32.99 /Month
  • Get 10 units per month
  • Download Article/Chapter or Ebook
  • 1 Unit = 1 Article or 1 Chapter
  • Cancel anytime
Subscribe now

Buy Now

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Fig. 1
Fig. 2
Fig. 3
Fig. 4
Fig. 5
Fig. 6
Fig. 7
Fig. 8
Fig. 9

Similar content being viewed by others

Abbreviations

R n :

Net radiation at crop surface (MJ m2 day1)

G :

Soil heat flux density (MJ m2 day1)

T :

Mean daily air temperature at 2 m height (°C)

(es−ea):

Saturation vapor pressure deficit (kPa)

Δ:

Slope of vapor pressure curve (kPa °C1)

γ :

Psychrometric constant (kPa °C1)

I :

Average infiltration depth (mm)

K c ini (FAO) :

FAO-recommended Kc ini value

K c ini (heavy wetting) :

KC ini derived from the FAO-curve corresponding to the heavy wetting

K c ini (light wetting) :

KC ini derived from FAO-curve corresponding to light wetting for the corresponding parameters

K c mid/end(FAO) :

FAO-recommended Kc value

RHmin :

Mean value for daily minimum relative humidity (%) (20% < RHmin < 80%)

u 2 :

Mean value for daily wind speed at 2 m height (m s1) (1 m s1 < u2 < 6 m s1)

References

  • Allen RG, Pereira LS, Raes D, Smith M (1998) Crop evapotranspiration–guidelines for computing crop water requirements-FAO irrigation and drainage paper 56. FAO Rome 300(9):D05109

    Google Scholar 

  • Benli B, Kodal S, Ilbeyi A, Ustun H (2006) Determination of evapotranspiration and basal crop coefficient of alfalfa with a weighing lysimeter. Agric Water Manage 81(3):358–370

    Article  Google Scholar 

  • Jamshidi S, Zand-Parsa S, Kamgar-Haghighi AA, Shahsavar AR, Niyogi D (2020) Evapotranspiration, crop coefficients, and physiological responses of citrus trees in semi-arid climatic conditions. Agric Water Manag 227:105838

    Article  Google Scholar 

  • Kumar N, Shankar V, Poddar A (2020) Investigating the effect of limited climatic data on evapotranspiration-based numerical modeling of soil moisture dynamics in the unsaturated root zone: a case study for potato crop. Model Earth Syst Environ 6:2433–2449

    Article  Google Scholar 

  • Kumari S, Poddar A, Kumar N, Shankar V (2021) Delineation of groundwater recharge potential zones using the modeling based on remote sensing, GIS and MIF techniques: a study of Hamirpur District, Himachal Pradesh, India. Model Earth Syst Environ. https://doi.org/10.1007/s40808-021-01181-w

    Article  Google Scholar 

  • Laqui W, Zubieta R, Rau P, Mejía A, Lavado W, Ingol E (2019) Can artificial neural networks estimate potential evapotranspiration in Peruvian highlands? Model Earth Syst Environ 5(4):1911–1924

    Article  Google Scholar 

  • Lima J, Antonino A, Souza E, Hammecker C, Montenegro S, Lira C (2013) Calibration of Hargreaves-Samani equation for estimating reference evapotranspiration in the sub-humid region of Brazil. J Water Resour Prot 5(12):A1–A5

    Article  Google Scholar 

  • Minacapilli M, Agnese C, Blanda F, Cammalleri C, Ciraolo G, D’Urso G, Iovino M, Pumo D, Provenzano G, Rallo G (2009) Estimation of actual evapotranspiration of Mediterranean perennial crops by means of remote-sensing based surface energy balance models. Hydrol Earth Syst Sci 13:1061–1074

    Article  Google Scholar 

  • Mobe NT, Dzikiti S, Zirebwa SF, Midgley SJE, von Loeper W, Mazvimavi D, Jovanovic NZ (2020) Estimating crop coefficients for apple orchards with varying canopy cover using measured data from twelve orchards in the Western Cape Province South Africa. Agric Water Manage 233:106103

    Article  Google Scholar 

  • Mohsin S, Lone MA (2020) Modeling of reference evapotranspiration for temperate Kashmir Valley using linear regression. Model Earth Syst Environ 7(1):495–502

    Article  Google Scholar 

  • Montazar A, Rejmanek H, Tindula G, Little C, Shapland T, Anderson F, Hill J (2016) Crop coefficient curve for paddy rice from residual energy balance calculations. J Irrig Drain Eng 143:04016076

    Article  Google Scholar 

  • Nandagiri L, Kovoor GM (2006) Performance evaluation of reference evapotranspiration equations across a range of Indian climates. J Irrig Drain Eng 132(3):238–249

    Article  Google Scholar 

  • Nhamo L, Magidi J, Nyamugama A, Clulow AD, Sibanda M, Chimonyo VG, Mabhaudhi T (2020) Prospects of improving agricultural and water productivity through unmanned aerial vehicles. Agriculture 10(7):256

    Article  Google Scholar 

  • Pandey V, Pandey PK, Mahanta AP (2014) Calibration and performance verification of Hargreaves-Samani equation in a humid region. Irrig Drain 63:659–667

    Article  Google Scholar 

  • Pandey PK, Dabral PP, Pandey V (2016) Evaluation of reference evapotranspiration methods for the northeastern region of India. Int Soil Water Conserv Res 4(1):52–63

    Article  Google Scholar 

  • Pereira LS, Allen RG, Smith M, Raes D (2015) Crop evapotranspiration estimation with FAO56: past and future. Agric Water Manag 147:4–20

    Article  Google Scholar 

  • Poddar A, Gupta P, Kumar N, Shankar V, Ojha CSP (2018) Evaluation of reference evapotranspiration methods and sensitivity analysis of climatic parameters for sub-humid sub-tropical locations in western Himalayas (India). ISH J Hydraul Eng. https://doi.org/10.1080/09715010.2018.1551731

    Article  Google Scholar 

  • Poddar A, Kumar N, Kumar R, Shankar V, Jat MK (2020) Evaluation of non-linear root water uptake model under different agro-climates. Curr Sci 119(3):485–496. https://doi.org/10.18520/cs/v119/i3/485-496

    Article  Google Scholar 

  • Shankar V (2007) Modelling of moisture uptake by plants. Doctoral dissertation, Department of Civil Engineering, IIT Roorkee

    Google Scholar 

  • Tyagi S, Singh N, Sonkar G, Mall RK (2019) Sensitivity of evapotranspiration to climate change using DSSAT model in sub humid climate region of Eastern Uttar Pradesh. Model Earth Syst Environ 5(1):1–11

    Article  Google Scholar 

  • Uniyal B, Dietrich J, Vu NQ, Jha MK, Arumí JL (2019) Simulation of regional irrigation requirement with SWAT in different agro-climatic zones driven by observed climate and two reanalysis datasets. Sci Total Environ 649:846–865

    Article  Google Scholar 

  • Valipour M, Sefidkouhi MAG, Raeini M (2017) Selecting the best model to estimate potential evapotranspiration with respect to climate change and magnitudes of extreme events. Agric Water Manag 180:50–60

    Article  Google Scholar 

  • **ang K, Li Y, Horton R, Feng H (2020) Similarity and difference of potential evapotranspiration and reference crop evapotranspiration–a review. Agric Water Manag 232:106043

    Article  Google Scholar 

  • Yirga SA (2019) Modeling reference evapotranspiration for Megecha catchment by multiple linear regression. Model Earth Syst Environ 5(2):471–477

    Article  Google Scholar 

Download references

Acknowledgements

The authors would like to acknowledge the support extended by National Institute of Technology Hamirpur (India) and Shoolini University (India). The authors are thankful to the reviewers for providing constructive criticism on the paper.

Funding

The financial support for the study was received through DBT (Department of Biotechnology, Govt. of India) sponsored project titled “Social-economic-environmental tradeoffs in managing Land-river interface (2019–2021)”.

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Arunava Poddar.

Ethics declarations

Conflict of interest

On behalf of all authors, the corresponding author states that there is no conflict of interest.

Additional information

Publisher's Note

Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Poddar, A., Kumar, N., Kumar, R. et al. Application of regression modeling for the prediction of field crop coefficients in a humid sub-tropical agro-climate: a study in Hamirpur district of Himachal Pradesh (India). Model. Earth Syst. Environ. 8, 2369–2381 (2022). https://doi.org/10.1007/s40808-021-01234-0

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s40808-021-01234-0

Keywords

Navigation