In William Cronon's The Trouble with Wilderness; or, Getting Back to the Wrong Nature; Jason W Moore's The End of Cheap Nature or: How I Learned to Stop Worrying about 'the' Environment and Love the Crisis of Capitalism; and in Rob Nixon's Slow Violence and the Environmentalism of the Poor, what are the main differences and similarities of the authors' methodologies related to “nature-culture relations”?

Each author mounts a critique of what is meant by "the environment" or the "natural world," but each approaches the problem from a different perspective. Moore's critique is also a critique of capitalism; he traces our current concerns with "conservation" to what he calls the "long 16th century," a period during which nature became commodified. Rob Nixon's notion of "slow violence" places the environment in a geopolitical context, arguing that environmental degradation is an outcome of explicit policies by first-world institutions to export pollution to the third world.
William Cronon interrogates the idea of "wilderness" from a historical position; he argues that the concept of "wilderness" and the notion of conservation is a comparatively recent development, tied to an emotional connection to "wildness," with specific political underpinnings that actually work against preserving wildness. Although they approach the issue from different perspectives, the one thing they share is the notion that "the environment" as it is used in public discourse is a construction, and that nature, in realty, is a concept that far exceeds any attempt to conceptualize or conserve it.