Selective sweeps may be caused by environmental conditions that select for a gene function or trait at one locus, causing reduced variation at neighboring sites due to linkage, with specific non-selected variants being swept along with the selected variant. For many species, genomic and environmental data are available to test hypotheses that environmental conditions are correlated with selected regions. Most genomic studies relating selection to environment use model organisms or crop species; typically, these studies have genomic data from large numbers of individuals and extensive environmental data. Here, we review studies associating selective sweeps with environment and consider the impediments to successful application of these methods to non-model species. We present an initial investigation into linking genomic regions of selection to environmental conditions in the narrowly distributed, non-model plant Amborella trichopoda (Amborellaceae), the sister species to all other living flowering plants and one of over 2500 plant species endemic to New Caledonia.