Urgent calls to transform societies toward more sustainability make the practice of anticipation more and more necessary. The progressive development of computational technologies has opened room for a growing use of quantitative methods to explore the future of social-ecological systems, in addition to qualitative methods. This warrants investigating issues of power relationships and discontinuities and unknowns that arise when mingling quantitative and qualitative anticipatory methods. We first reflected on the semantics attached to these methods. We then conducted a comparative analysis on the way the articulation of quantitative and qualitative methods was conducted, based on an in-depth analysis of a set of eleven anticipatory projects completed by several external case studies. We propose insights to classify projects according to the timing (successive, iterative or convergent) and the purpose of the articulation (imagination, refinement, assessment and awareness raising). We use these insights to explore methodological implications and power relationships and then discuss the ways to inform or frame anticipatory projects that seek to combine these methods.