Analytical evidence for scale-invariance in the shape of species abundance distributions |
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| Authors: | Petr K?rka Arno?t L ?izling James Rosindell |
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| Institution: | 1. Center for Theoretical Study, Charles University in Prague and Academy of Sciences of the Czech Republic, Jilskà 1, CZ-110 00 Praha 1, Czechia, Czech Republic;2. Institute of Integrative and Comparative Biology, The University of Leeds, Leeds LS2 9JT, United Kingdom;1. The Graduate School, University of Santo Tomas, Manila, 1015, Philippines;2. School of Pharmacy, Centro Escolar University, Manila, 1001, Philippines;3. Faculty of Pharmacy, University of Santo Tomas, Manila, 1015, Philippines;4. Research Center for the Natural Applied Sciences, University of Santo Tomas, Manila, 1015, Philippines;5. Herbanext Laboratories, Inc., Bago City, Negros Occidental, Philippines;6. Division of Biological Sciences, University of the Philippines Visayas, Miagao, Iloilo, 5020;1. Department of Civil and Environmental Engineering, Water Technology Centre, Hong Kong Branch of Chinese National Engineering Research Centre for Control & Treatment of Heavy Metal Pollution, The Hong Kong University of Science & Technology, Clear Water Bay, Hong Kong, China;2. Fok Ying Tung Research Institute, The Hong Kong University of Science and Technology, Clear Water Bay, Hong Kong, China;1. The University of Queensland, School of Veterinary Science, Gatton, QLD, 4343, Australia;2. The University of Queensland, Queensland Alliance for Agriculture and Food Innovation, Brisbane, QLD, 4102, Australia;3. Department of Agriculture Region 3, Pampanga, Philippines;4. Provincial Veterinary Office of Pampanga, City of San Fernando, Pampanga, Philippines;5. The University of Queensland, School of Agriculture and Food Sciences, Gatton, QLD, 4343, Australia;6. School of Environmental Science and Management, University of the Philippines, Los Baños, Philippines;7. Livestock Research Division, DOST-PCAARRD, Los Baños, Laguna, Philippines;1. AHT GROUP AG, GIZ SWM4LGUs Project, Iloilo City, Philippines;2. National Solid Waste Management Commission, DENR, Quezon City, Philippines;1. School of Biological & Biomedical Sciences, Durham University, Mountjoy Site, Durham DH1 3LE, UK;2. Animal, Plant and Environmental Sciences, University of the Witwatersrand, Johannesburg 2050, South Africa;3. UNEP-WCMC, 219c Huntingdon Road, Cambridge CB3 0DL, UK;4. Conservation Science Group, Department of Zoology, University of Cambridge, Downing Street, Cambridge CB2 3EJ, UK;5. IUCN Global Species Programme, 219c Huntingdon Road, Cambridge CB3 0DL, UK;6. Department of Biogeography and Global Change, National Museum of Natural Sciences, CSIC, Calle José Gutierrez Abascal 2, 28006 Madrid, Spain;7. CIBIO-InBIO, Universidade de Évora, Casa Cordovil 2° Andar, Rua Dr. Joaquim Henrique da Fonseca, 7000-890, Évora, Portugal;8. Centre for Macroecology, Evolution and Climate, Natural History Museum of Denmark, University of Copenhagen, DK-2100 Copenhagen, Denmark;9. Met Office Hadley Centre, FitzRoy Road, Exeter, Devon EX1 3PB, UK;10. Senckenberg Biodiversity and Climate Research Centre (BiK-F), Senckenberganlage 25, 60325 Frankfurt, Germany;11. Durrell Institute of Conservation and Ecology, School of Anthropology and Conservation, University of Kent, Canterbury, Kent CT2 7NR, UK;12. Microsoft Research Computational Science Laboratory, 21 Station Road, CB1 2FB Cambridge, UK;13. NatureServe, Apdo. 358-1260, Plaza Colonial, San Jose, Costa Rica;14. BirdLife International, Wellbrook Court, Girton, Cambridge CB3 0NA, UK;1. Sustainable Consumption and Production (SCP) Group, Institute for Global Environmental Strategies (IGES), 2108-11 Kamiyamaguchi, Hayama, Kanagawa 240-0115, Japan;2. Strategic Management Office, Institute for Global Environmental Strategies (IGES), 2108-11 Kamiyamaguchi, Hayama, Kanagawa 240-0115, Japan;3. Department of Environmental and Natural Resources (DENR), Visayas Avenue, Diliman, 1100 Quezon City, Philippines |
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| Abstract: | The distribution of species abundances within an ecological community provides a window into ecological processes and has important applications in conservation biology as an indicator of disturbance. Previous work indicates that species abundance distributions might be independent of the scales at which they are measured which has implications for data interpretation. Here we formulate an analytically tractable model for the species abundance distribution at different scales and discuss the biological relevance of its assumptions. Our model shows that as scale increases, the shape of the species abundance distribution converges to a particular shape given uniquely by the Jaccard index of spatial species turnover and by a parameter for the spatial correlation of abundances. Our model indicates that the shape of the species abundance distribution is taxon specific but does not depend on sample area, provided this area is large. We conclude that the species abundance distribution may indeed serve as an indicator of disturbances affecting species spatial turnover and that the assumption of conservation of energy in ecosystems, which is part of the Maximum Entropy approach, should be re-evaluated. |
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