Relative humidity

\[ vps := f(T) \]

If vapour pressure deficit is given:

\[ rh = 100 \left( 1 - \frac{vpd}{vps} \right) \]

If vapour pressure deficit is not given, the following assumptions are made:

Mean temperature

...

\[ vps := f(T) \]

If relative humidity is given:

\[ vpd = vps \left(1 - \frac{rh}{100} \right) \]

If relative humidity is not given, the following assumptions are made:

Saturated conditions at \( T_{min} \) (i.e., condensation at night time).
Constant amount of water during the day
\begin{eqnarray*} vps_{min} := f(T_{min}) \\ vpd = vps - vps_{min} \end{eqnarray*}
If daily vpd is given, subdaily vpd is derived by:
\begin{eqnarray*} vps_{daily} := f(T_{daily}) \\ vps_{subdaily} := f(T_{subdaily}) \\ vp_{daily} = vps_{daily} - vpd_{daily} \\ vpd_{subdaily} = vps_{subdaily} - vp_{daily} \end{eqnarray*}

Synthesizing climte follows an order reflecting dependencies among record items. Topological sorting is non-trivial due to varying dependencies.