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The Monin–Obukhov similarity theory was used to describe flux–gradient relationships in a surface layer. Land surfaces have diverse responses to airflow, which can be indicated by the aerodynamic roughness length Z0m (m), which refers to the height above the ground where the wind speed is zero. The thermal roughness length Z0h (m) is the height at which the temperature profile is epitaxial to the surface temperature. Z0m and Z0h can be calculated with the logarithmic wind profile method (Yang et al., 2008)
where Z (=2.5 m) is the observation height,
$ k $ (=0.4) is the von Kármán constant, u is the wind speed (m),$ \zeta $ is the atmospheric stability, L is the Obukhov length (m), g (=9.81 m s–2) is the gravitational constant, Ta is the air temperature (K), T0 is the surface skin temperature (K), Pr (=1, if$ \zeta > = 0 $ and 0.95, if$ \zeta < 0 $ ) is the Prandtl number,$ {u_*} $ is the frictional velocity (m s–1),$ {T_*} $ is the frictional temperature (K), and$ {\psi _{\text{m}}} $ and$ {\psi _{\text{h}}} $ are the integrated stability correction terms for wind and temperature profiles, respectively. According to the universal functions shown in Högström (1996),Following the Monin–Obukhov similarity theory,
$ {T_*} $ can be obtained from the sensible heat flux calculation scheme as follows:where H is the sensible heat flux (W m–2),
$ \rho $ is the air density (kg m–3), and$ {c_{\text{p}}} $ (=1004 J (kg K)–1) is the specific heat of air at constant pressure. T0 is converted from the observed upward longwave radiation ($ L \uparrow $ ) and downward longwave radiation ($ L \downarrow $ ):where
$ \varepsilon $ (=0.975) is the spectral radiance and$ \sigma $ [=5.67×10–8 W (K4 m2)–1] is the Stefan–Boltzmann constant. -
The CLM5 has been updated with notable improvements in soil and plant hydrology, snow density, carbon and nitrogen cycling and coupling, river modeling, and crop modeling (Lawrence et al., 2019). It has been used in many previous studies for the simulations of heat and water transfer processes. The forcing datasets for the CLM5 include air temperature, relative humidity, wind speed, air pressure, precipitation, and downward shortwave radiation and longwave radiation at a frequency of 30 min. To check the main atmospheric factors controlling the heat flux transfer between the atmosphere and alpine wetland surface and the changes in soil moisture and soil temperature, a set of point sensitivity tests (shown in Table 1) were carried out for air temperature, relative humidity, air pressure, precipitation, and downward shortwave radiation and longwave radiation with two perturbations (25% increase (IN) and 25% decrease (DE) of default values). In addition, the influences of two new surface parameters [Medlynslop (Med) and Rootprof_beta (Root)] and the initial soil water states [Initial soil solid water content (Solid), Initial soil liquid water content (Liq), and Initial soil water content (SW)] were also evaluated with IN and DE tests, and the results are summarized in Table 1. Medlynslop and Rootprof_beta represent the influences of stomatal conductance and root distribution, respectively. The CLM5 has 15 soil layers, ranging from 0.0071 m to 35.1776 m. Due to different frozen characteristics of soil moisture and soil temperature over the alpine wetland (section 4.1), the 5-cm depth (thickness is 4.55 cm) and 40-cm depth (thickness is 20.38 cm) were extracted to represent the shallow layer and deep layer, respectively. Land use type was set as 100% wetland, and spin-up (30 yr) was performed before the model reached a steady state.
Factors +25% −25% Relative humidity IN_RH DE_RH Longwave radiation IN_LR DE_LR Air pressure IN_AP DE_AP Precipitation IN_P DE_P Air temperature IN_AT DE_AT Shortwave radiation IN_SR DE_SR Medlynslop IN_Med DE_Med Rootprof_beta IN_Root DE_Root Initial soil solid water content IN_Solid DE_Solid Initial soil liquid water content IN_Liq DE_Liq Initial soil water content IN_SW DE_SW Table 1. Sensitivity tests for atmospheric variables and surface parameters.
Factors | +25% | −25% |
Relative humidity | IN_RH | DE_RH |
Longwave radiation | IN_LR | DE_LR |
Air pressure | IN_AP | DE_AP |
Precipitation | IN_P | DE_P |
Air temperature | IN_AT | DE_AT |
Shortwave radiation | IN_SR | DE_SR |
Medlynslop | IN_Med | DE_Med |
Rootprof_beta | IN_Root | DE_Root |
Initial soil solid water content | IN_Solid | DE_Solid |
Initial soil liquid water content | IN_Liq | DE_Liq |
Initial soil water content | IN_SW | DE_SW |