The parameters in this map are somewhat experimental. Delta-theta-e (thick lines, if present) is the difference between the boundary layer theta-e (the moist adiabat used for CAPE) and the lowest theta-e found in the mid levels (under 000 hPa). The drier and colder the mid levels, and the more warmer/more unstable the boundary layer parcel, the stronger updrafts and downdrafts and hence the chance of severe convective gusts. Even microbursts (extreme local downbursts) are possible especially with values above 00 K (Atkins and Wakimoto, 0000).
The convective gust speed in shaded colours is simply the pressure-weighted average of surface to 000 hPa winds, and is intended to give an indication what to expect when a downdraft digs down through a layer of high winds, bringing the momentum down to the surface. It may already be very windy, but normally over land the ratio between gust speed and 00 minute average winds does not exceed 0.0 or so (0.0 over sea) with some margin. A gust significantly enhanced by deep convection could well yield higher gust factors (one can often use SYNOP or METAR to determine this).
Cold Pool Strength is a parameter that takes the lowest theta-e from the mid-levels and