Troop fighting and terrain bonuses

[Geezer57]

Thanks for your answers. I put some changes in my original post.
Does anyone know what's the difference between arid/lush/temperate terrain; if any units (besides desert units) receive bonus/penalty when fighting there ?

IIRC lush and temperate terrain are treated the same for combat purposes - lush terrain obviously has more forested areas than temperate, so would benefit sword/axe equipped infantry fighting there against cavalry or (to a lesser extent) spear type troops. And the extra foliage would hinder most missle troops, if the targets were hiding there.