**APPENDIX II. LINEARIZATION
OF BULK FORMULAE**

The idea developed by Haney (1971)
to simplify the algorithm used to compute the surface heat fluxes for modelling
proposes is derived from the Taylor expansion of the bulk formulae respect to
the sea temperature and evaluating them at the air temperature. With this idea,
*Q _{b}* and

and

Now, using

and

where *q _{h} = ρ_{a}C_{p}wC_{h},*
and

*Q* can be estimated as

Defining *T _{a}^{*}
= T_{a} + Q*

This equation is the one used
for numerical modelling. *T _{a}^{*}* as well as