Which stage of the demographic transition Model (DTM) would best describe Jamaica in 2100?

To answer this question, we need to consider several factors:

1. Current Stage: As of now, Jamaica is considered to be in Stage 3 of the Demographic Transition Model (DTM). This stage is characterized by decreasing birth rates and low death rates, leading to a slow population growth.

2. Future Projections: Predicting the exact stage of a country in the DTM for a future year like 2100 involves making assumptions about trends in birth rates, death rates, and overall population growth.

3. Trends and Policies: We would need to consider the impact of various factors such as economic development, healthcare improvements, changes in family planning policies, and migration trends.

Given that Jamaica is currently in Stage 3 and considering the global trend towards lower birth rates and longer life expectancies, it is reasonable to predict that Jamaica might be in Stage 4 or even Stage 5 by 2100.

Stage 4 is characterized by low birth and death rates leading to a stable population, while Stage 5, a stage not all demographers agree on, is characterized by an even lower birth rate, leading to a declining population.

However, this is a speculative answer as it is based on current trends and assumptions which could change over the next 80 years.