How does the phenomena of survive of the fittest relates to peppered moth simulation?

Peppered moth stimulation is an experimental setup that show the behavior of moth in relation to their environment. The objective of the setup is to stimulate changes in moth population as a result of pollution and predation. 
Peppered moth stimulation relates to the survival of the fittest because the moth with the most adaptive ability will be able to survive despite the negative forces in the environment. The bright colored moth was able to survive the pollution in the environment and retains its colour while the black coloured moth change its colour to black due to the pollution int the environment.

Idont know but good luck; )