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1:3.5.3 Adjustment for Clear/Overcast Conditions

To incorporate the effect of clear and overcast weather on generated values of relative humidity, monthly average relative humidity values can be adjusted for wet or dry conditions.

The continuity equation relates average relative humidity adjusted for wet or dry conditions to the average relative humidity for the month:

Rhmon∗daystot=RhWmon∗dayswet+RhDmon∗daysdryR_{hmon}*days_{tot}=R_{hWmon}*days_{wet}+R_{hDmon}*days_{dry}Rhmon​∗daystot​=RhWmon​∗dayswet​+RhDmon​∗daysdry​ 1:3.5.8

where RhmonR_{hmon}Rhmon​ is the average relative humidity for the month, daystotdays_{tot}daystot​ are the total number of days in the month, RhWmonR_{hWmon}RhWmon​ is the average relative humidity for the month on wet days, dayswetdays_{wet}dayswet​ are the number of wet days in the month, RhDmonR_{hDmon}RhDmon​ is the average relative humidity of the month on dry days, and daysdrydays_{dry}daysdry​ are the number of dry days in the month.

The wet day average relative humidity is assumed to be greater than the dry day average relative humidity by some fraction:

1:3.5.9

where is the average relative humidity of the month on wet days, is the average relative humidity of the month on dry days, and is a scaling factor that controls the degree of deviation in relative humidity caused by the presence or absence of precipitation. The scaling factor, , is set to 0.9 in SWAT+.

To calculate the dry day relative humidity, equations 1:3.5.8 and 1:3.5.9 are combined and solved for :

1:3.5.10

To reflect the impact of wet or dry conditions, SWAT+ will replace with on wet days or on dry days in equations 1:3.5.4 through 1:3.5.7.

Table 1:3-5: SWAT+ input variables that pertain to generation of relative humidity.

Definition
Source Name
Input Name
Input File

tmp_max_ave

: average dew point temperature for month ()

dewpt

dew_ave

: average number of days of precipitation in month

pcpd

pcp_days

RhWmon=RhDmon+bH∗(1−RhDmon)R_{hWmon}=R_{hDmon}+b_H*(1-R_{hDmon})RhWmon​=RhDmon​+bH​∗(1−RhDmon​)
RhWmonR_{hWmon}RhWmon​
RhDmonR_{hDmon}RhDmon​
bHb_HbH​
bHb_HbH​
RhDmonR_{hDmon}RhDmon​
RhDmon=(Rhmon−bH∗dayswetdaystot)∗(1.0−bH∗dayswetdaystot)−1R_{hDmon}=(R_{hmon}-b_H*\frac{days_{wet}}{days_{tot}})*(1.0-b_H*\frac{days_{wet}}{days_{tot}})^{-1}RhDmon​=(Rhmon​−bH​∗daystot​dayswet​​)∗(1.0−bH​∗daystot​dayswet​​)−1
RhmonR_{hmon}Rhmon​
RhWmonR_{hWmon}RhWmon​
RhDmonR_{hDmon}RhDmon​

Relative humidity input: 'sim' for simulated or gage name

hgage

hmd

weather-sta.cli

μmnmon\mu mn_{mon}μmnmon​: average minimum air temperature for month (°C\degree C°C)

tmpmn

tmp_min_ave

weather-wgn.cli

μmxmon\mu mx_{mon}μmxmon​: average maximum air temperature for month (°C\degree C°C)

tmpmx

μdewmon\mu dew_{mon}μdewmon​
°C\degree C°C
dayswetdays_{wet}dayswet​
weather-wgn.cli
weather-wgn.cli
weather-wgn.cli