The distribution of bird species in Germany is changing because of a rise in average temperature. E.g. the European bee-eater bird is a Mediterranean species but it's now present in parts of Germany.
The distribution of some animal and plant species in the tropics changes between the wet and the dry seasons-i.e. the times of year where there is more or less rainfall, and so more or less water available. Each year in Africa, large numbers of giant wildebeest migrate, moving north and then back south as the rainfall patterns change.
The distribution of some species changes in areas where there is more air pollution. Some species of lichen can't grow in areas where sulfur dioxide is given out by certain industrial processes.