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Some of the most fundamental quantities in population ecology describe the growth and spread of populations. Population dynamics are often characterized by the annual rate of increase, l, or the generational rate of increase, R 0 . Analyses involving R 0 have deepened our understanding of disease dynamics and life-history complexities beyond that afforded by analysis of annual growth alone. While range expansion is quantified by the annual spreading speed, a spatial analog of l, an R 0 -likedoi:10.1086/682276 pmid:26655354 fatcat:72pcwprbl5fovmeqczx6pbxdki