In the Past, Carribean pitches are like best friends of the fast bowlers. They are green, bouncy and batsmen used to fear to play on those pitches. During the Same time, West Indies team is full of fast bowling legends such as Curtly Ambrose, Courtney Walsh etc. Where as Indian Pitches are from the start little flat and slow. The pitches are batsmen friendly and once 2-3 days are done, the pitches used to wear down thus supporting the spinners a lot. As England, Australia cricketers are not used to these kind of pitches, they used to struggle against our spinners.
At Present, Indian Pitches are still batsmen friendly but now a days we are looking more pace friendly wickets which are giving equal chances for foriegn teams as well. For example Pitches in Mohali , Dharmasala are more considered as fast bowling friendly pitches. Where as West Indies Pitches have become tad slow and Now becoming similar to our Sub Continent Pitches. There are also assisting a lot to spinners like Narine, Bishoo etc. When it comes to Weather conditions, as they are Islands, there will be lot of moisture and wind on the grounds as well.
"Hard work never goes unvalued"