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A Chinese research team has developed an innovative method to measure temperature and humidity in the atmosphere using three ground‑based instruments: a microwave radiometer (GMWR), a Mie‑Raman lidar (MRL) and a GNSS/MET sensor. The new framework, called EnKF1D‑Var, merges data from these devices with GFS model forecasts, updating hourly with a vertical resolution of 15 m.

During three months, from May to July 2024, the system was tested at Anqing station in subtropical China. Results show a temperature bias reduction of over 3 % and humidity corrections up to 0.075 g/kg (120 PPMV), especially during daytime. The trick lies in the algorithm dynamically adjusting observation error matrices, weighting each instrument according to its contribution. GNSS/MET leads temperature corrections, while MRL drives humidity improvements. GMWR provides additional support.

This approach proves that integrating multiple ground‑based data sources yields more accurate thermodynamic profiles in the lower atmosphere, crucial for reliable weather forecasts and studying atmosphere‑urban interactions.

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The EnKF1D‑Var framework merges two data assimilation techniques: the Ensemble Kalman Filter (EnKF) and one‑dimensional variational analysis (1D‑Var). EnKF generates an ensemble of possible atmospheric states from a forecast model (GFS). Each ensemble member is updated with observations via a linear correction based on the state‑observation covariance matrix. 1D‑Var, on the other hand, solves a local optimization problem along the vertical column, minimizing a cost function that includes background and observation departure terms weighted by their error matrices.

In this study, observations come from three sensors with distinct characteristics: GMWR measures microwave emission linked to water‑vapor content; MRL provides backscatter profiles at multiple wavelengths, sensitive to aerosol particles and water molecules; GNSS/MET detects GPS signal delays caused by atmospheric refractivity, related to temperature and humidity. Error covariance matrices are updated in real time using statistical diagnostics, allowing the filter to reduce uncertainty during rapid changes, such as daytime heating.

Assimilation proceeds in two steps: first EnKF updates the ensemble with observations, then 1D‑Var refines the solution along each vertical column, ensuring physical consistency (e.g., monotonic temperature). This hybrid approach leverages EnKF robustness against non‑linear errors and 1D‑Var precision for vertical scales, yielding a significant bias reduction for temperature and humidity in the atmospheric boundary layer.

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Authors:
Qi ZhangBin DengShudong WangFangyou DongMin Shao
Date Published:
Original Article www.mdpi.com
Fact-check verified on 13/06/2026
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Creative Commons License CC BY-NC-SA 4.0

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