I think you need to clearly define what you mean by greenery in this context. And how would the results be useful for actual urban designs.
For simulations, may be you can use a software like Envi-MET. For actual measurements, I would advise to focus on air temperature, humidity, radiant temperature, air velocity, and solar radiation.
For measurements you can try to simultaneously record the situation in different landscapes: nice shady trees, green grassland, near large water bodies, concrete landmass. Similarly, for simulations, you could also try these different landscapes.
I would suggest, to use resources appropriately, conduct some initial simulations and help narrow down on your measurement requirements.
A way to be "green" while improving comfort in tropical climate is to apply the so-called passive measures when designing a building.
These are architectural and constructive measures that naturally provide a better indoor environment quality with a minimum amount of non nrenewable energy. Examples are:
· Improving summer thermal comfort with thermal insulation, solar protections, thermal inertia, and appropriate natural ventilation
· Ensuring indoor air quality by using low-emitting materials and controlled natural ventilation
· Providing controlled daylighting
· Protecting from outdoor noise with acoustical insulation, adjusting the reverberation time for a comfortable indoor acoustics
Vernacular architecture, designed before the aircon era, often apply such measures. In hot humid climate, controlled draughts often improve the thermal comfort, by improving the evaporation of sweat.
An experiment assessing the "geenliness" of a building is simply to measure its non renewable, primary energy use. This could be completed by assessing its greenhouse gases production, including the one resulting form its energy use. Water use and contribution to heat islands in cities are also measures of the "greenery" of a building.