Final answer:
The indicator that proves that a region with an increasing population is using processes that are sustainable is a stable or increasing quality of life index.
Step-by-step explanation:
The indicator that proves that a region with an increasing population is using processes that are sustainable is a stable or increasing quality of life index. This means that despite the population growth, the region is able to maintain or improve the overall well-being and standard of living for its residents.
For example, if a region with an increasing population is able to provide access to education, healthcare, employment opportunities, and basic amenities like clean water and sanitation to its residents, it indicates that the region is using sustainable processes to meet the needs of its population.
On the other hand, indicators like decrease in biodiversity, increase in carbon emissions, and expansion of deforestation suggest unsustainable processes that can have negative impacts on the environment and long-term sustainability of the region.