A global model of island species–area relationships
- aSchool of Geography, Earth and Environmental Sciences, University of Birmingham, B15 2TT Birmingham, United Kingdom;
- bBirmingham Institute of Forest Research, University of Birmingham, B15 2TT Birmingham, United Kingdom;
- cAzorean Biodiversity Group, Centre for Ecology, Evolution and Environmental Changes (CE3C), Departamento de Ciências Agráriase Engenharia do Ambiente, Universidade dos Açores, PT-9700-042 Angra do Heroísmo, Açores, Portugal;
- dCNRS, Université de Pau et des Pays de l’Adour, Energy Environment Solutions (E2S), Institut des Sciences Analytiques et de Physico-Chimie pour l’Environnement et les Materiaux, UMR5254, Milieux et ressources aquatiques (MIRA), 64000 Pau, France;
- eDepartment of Ecology and Taxonomy, Faculty of Biology, National and Kapodistrian University of Athens, GR-15784 Athens, Greece;
- fSchool of Geography and the Environment, University of Oxford, OX1 3QY Oxford, United Kingdom;
- gCenter for Macroecology, Evolution and Climate, Natural History Museum of Denmark, University of Copenhagen, DK-2100 Copenhagen, Denmark
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Edited by Jonathan B. Losos, Washington University in St. Louis, St. Louis, MO, and approved May 6, 2019 (received for review October 22, 2018)

Significance
The island species–area relationship (ISAR) is a fundamental diversity pattern, best described by the power model. Biogeographic theory assumes predictable variation in power model parameters in relation principally to system isolation, but these assumptions are only weakly supported by previous work, which has been limited in considering the two parameters separately and oversimplistically. By developing and testing a hierarchical (structural equation) model of factors influencing ISAR form, we show that island species diversity patterns are shaped by intra-archipelago processes more strongly than by isolation from mainland source pools. These findings point to a need to quantify the role of differing scales of isolation in influencing propagule exchange among insular systems to develop improved predictive diversity models.
Abstract
The increase in species richness with island area (ISAR) is a well-established global pattern, commonly described by the power model, the parameters of which are hypothesized to vary with system isolation and to be indicative of ecological process regimes. We tested a structural equation model of ISAR parameter variation as a function of taxon, isolation, and archipelago configuration, using a globally distributed dataset of 151 ISARs encompassing a range of taxa and archipelago types. The resulting models revealed a negative relationship between ISAR intercept and slope as a function of archipelago species richness, in turn shaped by taxon differences and by the amount and disposition of archipelago area. These results suggest that local-scale (intra-archipelago) processes have a substantial role in determining ISAR form, obscuring the diversity patterns predicted by island theory as a function of archipelago isolation. These findings have implications for the use and interpretation of ISARs as a tool within biogeography, ecology, and conservation.
Footnotes
- ↵1To whom correspondence may be addressed. Email: robert.whittaker{at}ouce.ox.ac.uk.
Author contributions: T.J.M., F.R., K.A.T., and R.J.W. designed research; T.J.M., F.R., K.A.T., and R.J.W. performed research; T.J.M., F.R., K.A.T., and R.J.W. analyzed data; and T.J.M., F.R., K.A.T., and R.J.W. wrote the paper.
The authors declare no conflict of interest.
This article is a PNAS Direct Submission.
This article contains supporting information online at www.pnas.org/lookup/suppl/doi:10.1073/pnas.1818190116/-/DCSupplemental.
Published under the PNAS license.
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