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Alternative net longwave radiation equation for the FAO Penman–Monteith evapotranspiration equation and the Penman evaporation equation

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Abstract

Net longwave radiation, which is an essential factor in evapotranspiration, is generally estimated by multiplying the net emissivity under clear-sky conditions by the effect of cloudiness. In this study, we proposed a phenomenon-specific daily net longwave radiation function, in the form of a difference between the upward longwave radiation and the downward longwave radiation, for the Penman–Monteith evapotranspiration equation and the Penman evaporation equation. In addition, we verified the net longwave radiation equation by comparing the observed downward longwave radiation with that estimated by the downward longwave radiation equation derived from the well-known net longwave radiation equations in the Penman–Monteith evapotranspiration equation and the Penman evaporation equation. The downward longwave radiation equation constituting the proposed net longwave radiation equation w1ith four calibrated parameters had an RMSE of 8.60 W m−2 and MBE of − 4.37 W m−2 and is more accurate than the downward longwave radiation equations derived from the general net longwave radiation equations at Tateno, Japan.

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Data availability

The longwave radiation datasets are available in the World Radiation Monitoring Center-Baseline Surface Radiation Network (BSRN-BSRN) website: https://bsrn.awi.de/. The daily and hourly meteorological data at Tateno are publicly available in the Japan Meteorological Agency website: https://www.data.jma.go.jp/obd/stats/etrn/index.php.

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Contributions

Authors contributed to the study conception and design. Data collection and analysis were performed by Hiroyuki Matsui and Kazutoshi Osawa. The first draft of the manuscript was written by Hiroyuki Matsui and Kazutoshi Osawa commented on previous versions of the manuscript. All authors read and approved the final manuscript.

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Correspondence to Hiroyuki Matsui.

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Matsui, H., Osawa, K. Alternative net longwave radiation equation for the FAO Penman–Monteith evapotranspiration equation and the Penman evaporation equation. Theor Appl Climatol 153, 1355–1360 (2023). https://doi.org/10.1007/s00704-023-04524-y

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  • DOI: https://doi.org/10.1007/s00704-023-04524-y

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