Genesis and Human Stewardship of the Earth

In the first chapter of Genesis, twice in three verses, G-d speaks of humans ruling over other living beings. In the second instance, after creating Adam and Eve, G-d blesses them, saying "Be fruitful and multiply, fill the earth and subdue it, and have dominion over the fish of the sea, and over the birds of the sky, and over every living thing that moves upon the earth." What does it mean for humans to subdue the earth and have dominion over other creatures? Link to resources