“Let me tell you your problems”. Using Q methodology to elicit latent problem perceptions about invasive alien species

•When a change’s impact on people is unclear, problem perceptions are latent.•We combined Q methodology and landscape value typology to elicit latent perceptions.•We found three perspectives on the value of nature on Saba and St. Eustatius.•Insights regarding stakeholder perceptions of an invasive plant were derived.•Our approach enables participatory governance despite latent problem perceptions.