Land change science, as well as Political Ecology are connected to cultural and human ecology, however LCS focuses more within international science research framework that questions. Political Ecology, on the other hand, focuses on a range of human environment problems beyond land-change. SO in other words, Land change science is the first step in handling spatial themes such as change in land, and the Political Ecology goes beyond the environment and handles the social aspects and changes that land change causes.
Political Ecology and Land change science are important to GIS because they work together to focus of social changes that are caused because of changes within the environment.
Turner, B. L., & Robbins, P. (2008). Land-change science and political ecology: similarities, differences, and implications for sustainability science. Annual review of environment and resources, 33, 295-316.