Understanding the water cycle change under a warming climate is essential, particularly the ocean to land moisture transport, which affects the precipitation over land areas and influences society and the ecosystem. Using ERA5 data from 1988 to 2020, the time series of moisture transport and the trend across the boundary of each continent, including Eurasia, Africa, North America, South America, Antarctic, Australia, and Greenland, have been investigated. The inflow and outflow sections of the moisture have been identified for each continent. The trends of moisture convergence over Eurasia, Africa, North America, and Antarctic are all positive, with the values of 2.59 ± 3.12, 2.60 ± 3.17, 12.98 ± 2.28, and 0.32 ± 0.47 (in 10⁶ kg/s/decade), respectively, but only the trend over North America is statistically significant at a 0.1 significance level. The moisture convergence trend of −0.59 ± 3.63 (in 10⁶ kg/s/decade) over South America is negative but insignificant. The positive trend of 0.10 ± 0.35 (in 10⁶ kg/s/decade) over Greenland is very weak. The precipitation, evaporation, and moisture convergence are well balanced at middle and low latitudes, but the combination of moisture convergence and evaporation is systematically lower than the precipitation over Antarctic and Greenland. Contributions of evaporation and moisture convergence (or transport) to the continental precipitation vary with the continent, but the moisture convergence dominates the precipitation variability over all continents, and the significant correlation coefficients between the anomaly time series of continental mean moisture convergence and precipitation are higher than 0.8 in all continents.

The energy budget imbalance at the top of the atmosphere (TOA) and the energy flow in the Earth’s system plays an essential role in climate change over the global and regional scales. Under the constraint of observations, the radiative fluxes at TOA have been reconstructed prior to CERES (Clouds and the Earth’s Radiant Energy System) between 1985 and 2000. The total atmospheric energy divergence has been mass corrected based on ERA5 (the fifth generation ECMWF ReAnalysis) atmospheric reanalysis by a newly developed method considering the enthalpy removing of the atmospheric water vapor, which avoids inconsistencies due to the residual lateral total mass flux divergence in the atmosphere, ensuring the balances of the freshwater fluxes at the surface. The net surface energy flux (F_s) has been estimated using the residual method based on energy conservation, which is the difference between the net TOA radiative flux and the atmospheric energy tendency and divergence. The F_s is then verified directly and indirectly with observations, and results show that the estimated F_s in North Atlantic is superior to those from model simulations. This paper gives a brief review of the progress in the estimation of the observed energy flow in the Earth system, discusses some caveats of the existing method, and provides some suggestions for the improvements of the aforementioned data sets.

The shift in the intertropical convergence zone (ITCZ) and the poleward expansion of the Hadley circulation termini have attracted many investigations, since they affect the hydrological cycle and hence the societies and ecosystems in the tropical and subtropical areas. Using the observed precipitation and three atmospheric reanalysis data sets, different methods have been employed to quantify the changes in the ITCZ position, the Hadley circulation width, terminus position, and center intensity in both hemispheres over the global and seven longitudinal sections. It is found that the ITCZ position from the centroid method is closer to the equator over the global and ocean sections than that from the maximum precipitation method and the mass streamfunction, but the variability between different methods and data sets has significant correlations. The large spread of the ITCZ latitude is mainly from the different methods used. The ITCZ position has shifted away from the equator over 1983–2023, which is consistent across data sets, and the multi-method mean trend from five significant trends is 0.22 ± 0.12°/decade over this period. The south HC branch terminus is expanding poleward; this shift, computed using different methods and data sets, is consistent, and five out of seven are significant. The terminus position shift in the north branch is mixed, and most trends are insignificant except that from P-E. The global mean south branch circulation width has a significant increasing trend, contributed mainly by the northward shift in the ITCZ position; meanwhile, the north circulation width is shrinking insignificantly over 1983–2023. The cross-equatorial atmospheric energy transport AHT and the ITCZ position θ_ITCZ from ERA5 are generally anti-correlated, and the correlation coefficients between AHT and θ_ITCZ from different methods are all significant. The multi-method mean northward shift of θ_ITCZ is 3.48 °PW⁻¹.

The net surface energy flux (F_s) is critical to the Earth’s energy budget and surface processes, but its simulation remains uncertain in global and regional scales. This study investigates simulated F_s biases and sources globally and in the Asian monsoon region (AMR) using CMIP6 HighResMIP atmospheric models. Globally, the multi-model mean can reproduce the observed global multiannual mean F_s. The majority of models overestimate the annual mean F_s, net surface shortwave radiation (SW_s) and longwave radiation (LW_s) but underestimate the turbulent heat flux (THF). In AMR, the F_s is predominantly upward during winter and downward during summer owing to the seasonal variation in SW_s and THF. 95% of the winter F_s bias over AMR comes from THF primarily due to the latent heat flux bias. SW_s and THF contribute 40%~90% and 70%~90% to summer F_s bias, respectively. The systematic biases of SW_s and LW_s can be attributed to biases in circulation patterns and cloud cover, while biases in THF are primarily influenced by the near-surface processes. The high-resolution models perform well in F_s, THF, and low-level circulation, particularly in DJF. The winter multi-model mean error is reduced by 21.5%~63.6% in F_s and 25.5%~76.7% in THF across three subregions of AMR. Seven out of nine high-resolution models show higher skill scores of winter F_s and THF than their low-resolution counterparts in SA, with corresponding model number being 8 (F_s) and 7 (THF) in both EA and WNP. This study reveals the advantages of increased horizonal resolution in the F_s simulation.