ArticleNature communications2017
An invariability-area relationship sheds new light on the spatial scaling of ecological stability.
Article in Nature communications, 2017. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Cited by 37 papers.
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Who cites it
37 citing papers in PubMed.
- Temporal Decoupling of Biodiversity Effects on Grassland Productivity and Stability.Ecology letters · 2026Article
- Biodiversity and habitat complexity buffer the destabilizing effects of anthropogenic activities on riverine fish communities.Nature communications · 2026Article
- Scale-dependent biodiversity-biomass relationships vary among subtropical forest community types.Frontiers in plant science · 2026Article
- Temporal stability of forest productivity declines over stand age at multiple spatial scales.Nature communications · 2025Article
- Biotic interactions and environmental modifications determine symbiotic microbial diversity and stability.Computational and structural biotechnology journal · 2024Article
- Accounting for effects of growth rate when measuring ecological stability in response to pulse perturbations.Ecology and evolution · 2024Article
- Crop diversity benefits increase with nation size.Nature food · 2024Article
- Larger nations benefit more than smaller nations from the stabilizing effects of crop diversity.Nature food · 2024Article
- Article
- Interspecific and intraspecific Taylor's laws for frog skin microbes.Computational and structural biotechnology journal · 2023Article
- Metapopulation persistence can be inferred from incomplete surveys.Proceedings. Biological sciences · 2022Article
- Effects of diversity on thermal niche variation in bird communities under climate change.Scientific reports · 2022Article
- Article
- Review
- Biodiversity as insurance: from concept to measurement and application.Biological reviews of the Cambridge Philosophical Society · 2021Review
- Effects of multiple stressors on the dimensionality of ecological stability.Ecology letters · 2021Article
- Biotic homogenization destabilizes ecosystem functioning by decreasing spatial asynchrony.Ecology · 2021Article
- Scaling up biodiversity-ecosystem functioning relationships: the role of environmental heterogeneity in space and time.Proceedings. Biological sciences · 2021Article
- Individual species provide multifaceted contributions to the stability of ecosystems.Nature ecology & evolution · 2020Article
- Coupling of green and brown food webs and ecosystem stability.Ecology and evolution · 2020Article
Corrections and comments
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Authors and funding
7 authors.
Funding
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Abstract
The spatial scaling of stability is key to understanding ecological sustainability across scales and the sensitivity of ecosystems to habitat destruction. Here we propose the invariability-area relationship (IAR) as a novel approach to investigate the spatial scaling of stability. The shape and slope of IAR are largely determined by patterns of spatial synchrony across scales. When synchrony decays exponentially with distance, IARs exhibit three phases, characterized by steeper increases in invariability at both small and large scales. Such triphasic IARs are observed for primary productivity from plot to continental scales. When synchrony decays as a power law with distance, IARs are quasilinear on a log-log scale. Such quasilinear IARs are observed for North American bird biomass at both species and community levels. The IAR provides a quantitative tool to predict the effects of habitat loss on population and ecosystem stability and to detect regime shifts in spatial ecological systems, which are goals of relevance to conservation and policy.
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