Analysis of form and function in North American columnar cacti (tribe Pachycereeae)

Simple and multivariate linear models were used to demonstrate the influence of mechanical design and climate on stem morphology and branching architecture in 15 species of North American columnar cacti. The effect of phyletic inertia was tested by the method of independent contrasts. Stem with was found to increase significantly slower with increased height within taxa (cross-sectional stem area proportional to [plant height](0,603)), than across taxon (cross-sectional stem area proportional to [plant height](1,451)). Juveniles are shown to be mechanically overbuilt and subsequently grow into more slender adult forms determined in part by structural limitations and the optimization of other stem functions. We make a structural analogy of relatively rigid columnar cacti to concrete columns and compare plants and models with similar growth forms lacking woody skeletons (barrel cacti). Taxa with woody support achieved a surface-to-volume ratio six times greater than taxa without woody support. Across taxon, coder winter temperatures were associated with larger stem girths, and greater annual precipitation was associated with Less frequent branching. The relationship between total plant surface and volume approaches isometry within taxa, but across taxon average individuals are scaled replicates. We hypothesize that architecture and average plant height are adjusted, in an evolutionary sense, to maintain geometric similitude between surface and volume along a climatic gradient.