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Tian W, Wang Z, Kong H, Tian Y, Huang T. Temporal-Spatial Fluctuations of a Phytoplankton Community and Their Association with Environmental Variables Based on Classification and Regression Tree in a Shallow Temperate Mountain River. Microorganisms 2024; 12:1612. [PMID: 39203454 PMCID: PMC11356651 DOI: 10.3390/microorganisms12081612] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Key Words] [Grants] [Track Full Text] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 07/19/2024] [Revised: 07/30/2024] [Accepted: 08/06/2024] [Indexed: 09/03/2024] Open
Abstract
The effects of environmental factors on phytoplankton are not simply positive or negative but complex and dependent on the combination of their concentrations in a fluctuating environment. Traditional statistical methods may miss some of the complex interactions between the environment and phytoplankton. In this study, the temporal-spatial fluctuations of phytoplankton diversity and abundance were investigated in a shallow temperate mountain river. The machine learning method classification and regression tree (CART) was used to explore the effects of environmental variables on the phytoplankton community. The results showed that both phytoplankton species diversity and abundance varied fiercely due to environmental fluctuation. Microcystis aeruginosa, Amphiprora sp., Anabaena oscillarioides, and Gymnodinium sp. were the dominant species. The CART analysis indicated that dissolved oxygen, oxidation-reduction potential, total nitrogen (TN), total phosphorus (TP), and water temperature (WT) explained 36.00%, 13.81%, 11.35%, 9.96%, and 8.80%, respectively, of phytoplankton diversity variance. Phytoplankton abundance was mainly affected by TN, WT, and TP, with variance explanations of 39.40%, 15.70%, and 14.09%, respectively. Most environmental factors had a complex influence on phytoplankton diversity and abundance: their effects were positive under some conditions but negative under other combinations. The results and methodology in this study are important in quantitatively understanding and exploring aquatic ecosystems.
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Affiliation(s)
| | - Zhongyu Wang
- Research Center for Engineering Ecology and Nonlinear Science, North China Electric Power University, Beijing 102206, China; (W.T.); (H.K.); (Y.T.); (T.H.)
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Pastorini M, Rodríguez R, Etcheverry L, Castro A, Gorgoglione A. Enhancing environmental data imputation: A physically-constrained machine learning framework. THE SCIENCE OF THE TOTAL ENVIRONMENT 2024; 926:171773. [PMID: 38522546 DOI: 10.1016/j.scitotenv.2024.171773] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Subscribe] [Scholar Register] [Received: 10/18/2023] [Revised: 03/14/2024] [Accepted: 03/15/2024] [Indexed: 03/26/2024]
Abstract
In water resources management, new computational capabilities have made it possible to develop integrated models to jointly analyze climatic conditions and water quantity/quality of the entire watershed system. Although the value of this integrated approach has been demonstrated so far, the limited availability of field data may hinder its applicability by causing high uncertainty in the model response. In this context, before collecting additional data, it is recommended first to recognize what improvement in model performance would occur if all available records could be well exploited. This work proposes a novel machine learning framework with physical constraints capable of successfully imputing a high percentage of missing data belonging to several environmental domains (meteorology, water quantity, water quality), yielding satisfactory results. In particular, the minimum NSE computed for meteorologic variables is 0.72. For hydrometric variables, NSE is always >0.97. More than 78 % of the physical-water-quality variables is characterized by NSE > 0.45, and >66 % of the chemical-water quality variables reaches NSE > 0.35. This work's results demonstrate the proposed framework's effectiveness as a data augmentation tool to improve the performance of integrated environmental modeling.
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Affiliation(s)
- Marcos Pastorini
- Department of Computer Science, School of Engineering, Universidad de la República, Herreira y Reissig, 565, Montevideo 11300, Uruguay.
| | - Rafael Rodríguez
- Department of Fluid Mechanics and Environmental Engineering, School of Engineering, Universidad de la República, Herreira y Reissig, 565, Montevideo 11300, Uruguay.
| | - Lorena Etcheverry
- Department of Computer Science, School of Engineering, Universidad de la República, Herreira y Reissig, 565, Montevideo 11300, Uruguay.
| | - Alberto Castro
- Department of Computer Science, School of Engineering, Universidad de la República, Herreira y Reissig, 565, Montevideo 11300, Uruguay.
| | - Angela Gorgoglione
- Department of Fluid Mechanics and Environmental Engineering, School of Engineering, Universidad de la República, Herreira y Reissig, 565, Montevideo 11300, Uruguay.
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Automation of species-specific cyanobacteria phycocyanin fluorescence compensation using machine learning classification. ECOL INFORM 2022. [DOI: 10.1016/j.ecoinf.2022.101669] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.5] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/18/2022]
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Analysing the Impact of Climate Change on Hydrological Ecosystem Services in Laguna del Sauce (Uruguay) Using the SWAT Model and Remote Sensing Data. REMOTE SENSING 2021. [DOI: 10.3390/rs13102014] [Citation(s) in RCA: 14] [Impact Index Per Article: 4.7] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 11/16/2022]
Abstract
Assessing how climate change will affect hydrological ecosystem services (HES) provision is necessary for long-term planning and requires local comprehensive climate information. In this study, we used SWAT to evaluate the impacts on four HES, natural hazard protection, erosion control regulation and water supply and flow regulation for the Laguna del Sauce catchment in Uruguay. We used downscaled CMIP-5 global climate models for Representative Concentration Pathways (RCP) 2.6, 4.5 and 8.5 projections. We calibrated and validated our SWAT model for the periods 2005–2009 and 2010–2013 based on remote sensed ET data. Monthly NSE and R2 values for calibration and validation were 0.74, 0.64 and 0.79, 0.84, respectively. Our results suggest that climate change will likely negatively affect the water resources of the Laguna del Sauce catchment, especially in the RCP 8.5 scenario. In all RCP scenarios, the catchment is likely to experience a wetting trend, higher temperatures, seasonality shifts and an increase in extreme precipitation events, particularly in frequency and magnitude. This will likely affect water quality provision through runoff and sediment yield inputs, reducing the erosion control HES and likely aggravating eutrophication. Although the amount of water will increase, changes to the hydrological cycle might jeopardize the stability of freshwater supplies and HES on which many people in the south-eastern region of Uruguay depend. Despite streamflow monitoring capacities need to be enhanced to reduce the uncertainty of model results, our findings provide valuable insights for water resources planning in the study area. Hence, water management and monitoring capacities need to be enhanced to reduce the potential negative climate change impacts on HES. The methodological approach presented here, based on satellite ET data can be replicated and adapted to any other place in the world since we employed open-access software and remote sensing data for all the phases of hydrological modelling and HES provision assessment.
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Liu X, Chen L, Zhang G, Zhang J, Wu Y, Ju H. Spatiotemporal dynamics of succession and growth limitation of phytoplankton for nutrients and light in a large shallow lake. WATER RESEARCH 2021; 194:116910. [PMID: 33601234 DOI: 10.1016/j.watres.2021.116910] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [Abstract] [Key Words] [MESH Headings] [Track Full Text] [Subscribe] [Scholar Register] [Received: 10/26/2020] [Revised: 02/04/2021] [Accepted: 02/05/2021] [Indexed: 06/12/2023]
Abstract
Understanding the limiting factors of phytoplankton growth and competition is crucial for the restoration of aquatic ecosystems. However, the role and synergistic effect of co-varying environmental conditions, such as nutrients and light on the succession of phytoplankton community remains unclear. In this study, a hydrodynamic-ecological modeling approach was developed to explore phytoplankton growth and succession under co-varying environmental conditions (nutrients, total suspended solids (TSS) and variable N:P ratios) in a large shallow lake called Lake Chagan, in Northeast China. A phytoplankton bloom model was nested in the ecological modeling approach. In contrast to the traditonal ecological modeling, competition between phytoplankton species in our study was modeled at both the species/functional group and phenotype levels. Six phytoplankton functional groups, namely diatoms, green algae, Anabaena, Microcystis, Aphanizomenon and Oscillatoria and each of them with three limitation types (i.e., light-limitation, nitrogen-limitation and phosphorus-limitation) were included in the bloom model. Our results demonstrated that the average biomass proportion of the three limitation types (light-limitation, nitrogen-limitation and phosphorus-limitation) in the six phytoplankton function groups accounted for approximately 50%, 37% and 23% of the total phytoplankton biomass, respectively. TSS suppressed the growth of diatoms and green algae, but favored the dominance of cyanobacteria in Lake Chagan, especially in the turbid water phase (TSS ≥ 60 mg/L). In addition, it was reported that the potential of either N-fixing or non-N-fixing cyanobacterial blooming along the gradients of N:P ratios could exist under the influence of the co-environmental factors in the lake. The proportion of non-N-fixing cyanobacteria (i.e., Microcystis and Oscillatoria) exceeded the proportion of N-fixing cyanobacteria (i.e., Anabaena and Aphanizomenon) when the N:P ratios exceeded 20. Non-N-fixing cyanobacteria would become dominant at higher TSS concentrations and lower light intensities in the turbid water. N-fixing cyanobacteria favored lower N:P ratios and higher light intensities in the clearwater phase (where TSS ≤ 60 mg/L). To sustain a good ecological status in the lake, our results suggest that nutrient and TSS levels in the lake should be maintained at or below the thresholds (TN ≤ 1.5 mg/L; TP ≤ 0.1 mg/L; N:P ratios between 15 and 20; and TSS ≤ 60 mg/L). These findings can help improve water quality management practices to restore aquatic ecosystems.
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Affiliation(s)
- Xuemei Liu
- Northeast Institute of Geography and Agroecology, Chinese Academy of Sciences. Changchun 130102, China; University of the Chinese Academy of Sciences, Beijing 100049, China
| | - Liwen Chen
- Northeast Institute of Geography and Agroecology, Chinese Academy of Sciences. Changchun 130102, China
| | - Guangxin Zhang
- Northeast Institute of Geography and Agroecology, Chinese Academy of Sciences. Changchun 130102, China.
| | - Jingjie Zhang
- Northeast Institute of Geography and Agroecology, Chinese Academy of Sciences. Changchun 130102, China; Environmental Research Institute, National University of Singapore, Kent Ridge 117576, Singapore; Shenzhen Municipal Engineering Lab of Environmental IoT Technologies, Southern University of Science and Technology, Shenzhen, 518055, China.
| | - Yao Wu
- Northeast Institute of Geography and Agroecology, Chinese Academy of Sciences. Changchun 130102, China
| | - Hanyu Ju
- Northeast Institute of Geography and Agroecology, Chinese Academy of Sciences. Changchun 130102, China; University of the Chinese Academy of Sciences, Beijing 100049, China
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Istvánovics V, Honti M. Stochastic simulation of phytoplankton biomass using eighteen years of daily data - predictability of phytoplankton growth in a large, shallow lake. THE SCIENCE OF THE TOTAL ENVIRONMENT 2021; 764:143636. [PMID: 33401043 DOI: 10.1016/j.scitotenv.2020.143636] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [Abstract] [Key Words] [MESH Headings] [Track Full Text] [Subscribe] [Scholar Register] [Received: 01/21/2020] [Revised: 11/04/2020] [Accepted: 11/07/2020] [Indexed: 06/12/2023]
Abstract
During the past decades, on-line monitoring of freshwater lakes has developed rapidly. To use high frequency time-series in lake management, novel models are needed that are simple and provide insight into the complexity of phytoplankton dynamics. Chlorophyll a (Chl), a proxy for phytoplankton biomass and environmental drivers were monitored on-line in large, shallow Lake Balaton during the vegetation periods between 2001 and 2018. Growth and non-growth (G and non-G) states of algae were deduced from daily change in Chl. Random forests (RF) were used to find stochastic response rules of phytoplankton to growth-supporting environmental habitat templates. The stochastic G/non-G state was translated into long-term daily biomass dynamics by a deterministic biomass model to assess uncertainty and to distinguish between inevitable and unpredictable blooms. A biomass peak was qualified as inevitable or unpredictable if the lower 95% confidence limit of simulations exceeded or remained at the baseline Chl level, respectively. Compared to a stochastic null model based on monthly Markovian transition probabilities, RF-based models captured wax and wane of biomass realistically. Timing of peaks could be better simulated than their magnitude, likely because habitat templates were primarily determined by light whereas peak sizes might depend on unmeasured processes, such as phosphorus availability. In general, algal growth was favored by wind-induced sediment resuspension that decreased light availability but simultaneously enhanced the P supply. Seasonal temperature and an integral of departures from the "normal" seasonal temperature over 2 to 3 generations were important drivers of phytoplankton growth, whereas short-term (diel and day to day) changes in water temperature appeared to be irrelevant. Four types of years could be distinguished during the study period with respect to algal growth conditions. The present modeling approach can reasonably be used even in highly variable aquatic environments when 3 to 4 years of daily data are available.
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Affiliation(s)
- Vera Istvánovics
- MTA-BME Water Research Group, Műegyetem rkp. 3, 1111 Budapest, Hungary.
| | - Márk Honti
- MTA-BME Water Research Group, Műegyetem rkp. 3, 1111 Budapest, Hungary
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Kruk C, Martínez A, Martínez de la Escalera G, Trinchin R, Manta G, Segura AM, Piccini C, Brena B, Yannicelli B, Fabiano G, Calliari D. Rapid freshwater discharge on the coastal ocean as a mean of long distance spreading of an unprecedented toxic cyanobacteria bloom. THE SCIENCE OF THE TOTAL ENVIRONMENT 2021; 754:142362. [PMID: 33254935 DOI: 10.1016/j.scitotenv.2020.142362] [Citation(s) in RCA: 12] [Impact Index Per Article: 4.0] [Reference Citation Analysis] [Abstract] [Key Words] [MESH Headings] [Track Full Text] [Subscribe] [Scholar Register] [Received: 06/30/2020] [Revised: 08/21/2020] [Accepted: 09/12/2020] [Indexed: 06/12/2023]
Abstract
Cyanobacterial toxic blooms are a worldwide problem. The Río de la Plata (RdlP) basin makes up about one fourth of South America areal surface, second only to the Amazonian. Intensive agro-industrial land use and the construction of dams have led to generalized eutrophication of main tributaries and increased the intensity and duration of cyanobacteria blooms. Here we analyse the evolution of an exceptional bloom at the low RdlP basin and Atlantic coast during the summer of 2019. A large array of biological, genetic, meteorological, oceanographic and satellite data is combined to discuss the driving mechanisms. The bloom covered the whole stripe of the RdlP estuary and the Uruguayan Atlantic coasts (around 500 km) for approximately 4 months. It was caused by the Microcystis aeruginosa complex (MAC), which produces hepatotoxins (microcystin). Extreme precipitation in the upstream regions of Uruguay and Negro rivers' basins caused high water flows and discharges. The evolution of meteorological and oceanographic conditions as well as the similarity of organisms' traits in the affected area suggest that the bloom originated in eutrophic reservoirs at the lower RdlP basin, Salto Grande in the Uruguay river, and Negro river reservoirs. High temperatures and weak Eastern winds prompted the rapid dispersion of the bloom over the freshwater plume along the RdlP northern and Atlantic coasts. The long-distance rapid drift allowed active MAC organisms to inoculate freshwater bodies from the Atlantic basin, impacting environments relevant for biodiversity conservation. Climate projections for the RdlP basin suggest an increase in precipitation and river water flux, which, in conjunction with agriculture intensification and dams' construction, might turn this extraordinary event into an ordinary situation.
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Affiliation(s)
- Carla Kruk
- Instituto de Ecología y Ciencias Ambientales, Facultad de Ciencias, UDELAR, Iguá 4225, 11400 Montevideo, Uruguay; Ecología Funcional de Sistemas Acuáticos, Centro Universitario Regional del Este (CURE), UdelaR, Ruta nacional 9 intersección con ruta 15, 27000 Rocha, Uruguay.
| | - Ana Martínez
- Dirección Nacional de Recursos Acuáticos, La Paloma, MGAP, Avenida del Puerto s/n, Puerto la Paloma, La Paloma, CP 27001, Rocha, Uruguay
| | - Gabriela Martínez de la Escalera
- Departamento de Microbiología, Instituto de Investigaciones Biológicas Clemente Estable, MEC, Av Italia 3318, 11600 Montevideo, Uruguay
| | - Romina Trinchin
- Departamento de Ciencias de la Atmósfera, Facultad de Ciencias, UDELAR, Iguá 4225, 11400 Montevideo, Uruguay; Instituto Uruguayo de meteorología, Dr Javier Barrios Amorín 1488, 11200 Montevideo, Uruguay
| | - Gastón Manta
- Departamento de Ciencias de la Atmósfera, Facultad de Ciencias, UDELAR, Iguá 4225, 11400 Montevideo, Uruguay
| | - Angel M Segura
- Modelación y Análisis de Recursos Naturales, CURE, UDELAR, Ruta nacional 9 intersección con ruta 15, 27000 Rocha, Uruguay
| | - Claudia Piccini
- Departamento de Microbiología, Instituto de Investigaciones Biológicas Clemente Estable, MEC, Av Italia 3318, 11600 Montevideo, Uruguay
| | - Beatriz Brena
- Bioquímica-DEPBIO, Facultad de Química, UDELAR, Av. Gral. Flores 2124, 11800 Montevideo, Uruguay
| | - Beatriz Yannicelli
- Ecología Funcional de Sistemas Acuáticos, Centro Universitario Regional del Este (CURE), UdelaR, Ruta nacional 9 intersección con ruta 15, 27000 Rocha, Uruguay
| | - Graciela Fabiano
- Instituto de Investigaciones Pesqueras, Facultad de Veterinaria, UDELAR, Tomás Basáñez 1160, Montevideo 11400, Uruguay
| | - Danilo Calliari
- Instituto de Ecología y Ciencias Ambientales, Facultad de Ciencias, UDELAR, Iguá 4225, 11400 Montevideo, Uruguay; Ecología Funcional de Sistemas Acuáticos, Centro Universitario Regional del Este (CURE), UdelaR, Ruta nacional 9 intersección con ruta 15, 27000 Rocha, Uruguay
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Vinçon-Leite B, Casenave C. Modelling eutrophication in lake ecosystems: A review. THE SCIENCE OF THE TOTAL ENVIRONMENT 2019; 651:2985-3001. [PMID: 30463149 DOI: 10.1016/j.scitotenv.2018.09.320] [Citation(s) in RCA: 66] [Impact Index Per Article: 13.2] [Reference Citation Analysis] [Abstract] [Key Words] [MESH Headings] [Track Full Text] [Subscribe] [Scholar Register] [Received: 07/30/2018] [Revised: 09/24/2018] [Accepted: 09/24/2018] [Indexed: 06/09/2023]
Abstract
Eutrophication is one of the main causes of the degradation of lake ecosystems. Its intensification during the last decades has led the stakeholders to seek for water management and restoration solutions, including those based on modelling approaches. This paper presents a review of lake eutrophication modelling, on the basis of a scientific appraisal performed by researchers for the French ministries of Environment and Agriculture. After a brief introduction presenting the scientific context, a bibliography analysis is presented. Then the main results obtained with process-based models are summarized. A synthesis of the scientist recommendations in order to improve the lake eutrophication modelling is finally given before the conclusion.
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Affiliation(s)
- Brigitte Vinçon-Leite
- LEESU Ecole des Ponts ParisTech, AgroParisTech, UPEC 6-8 Avenue Blaise Pascal, 77455, Marne-la-Vallée, France.
| | - Céline Casenave
- INRA, UMR MISTEA - Mathematics, Informatics and STatistics for Environment and Agronomy, 2 place Pierre Viala, 34060, Montpellier, France
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Dormann CF, Calabrese JM, Guillera-Arroita G, Matechou E, Bahn V, Bartoń K, Beale CM, Ciuti S, Elith J, Gerstner K, Guelat J, Keil P, Lahoz-Monfort JJ, Pollock LJ, Reineking B, Roberts DR, Schröder B, Thuiller W, Warton DI, Wintle BA, Wood SN, Wüest RO, Hartig F. Model averaging in ecology: a review of Bayesian, information-theoretic, and tactical approaches for predictive inference. ECOL MONOGR 2018. [DOI: 10.1002/ecm.1309] [Citation(s) in RCA: 129] [Impact Index Per Article: 21.5] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 02/04/2023]
Affiliation(s)
- Carsten F. Dormann
- Biometry and Environmental System Analysis; University of Freiburg; Tennenbacher Str. 4 79106 Freiburg Germany
| | - Justin M. Calabrese
- Conservation Ecology Center; Smithsonian Conservation Biology Institute; 1500 Remount Road Front Royal Virginia 22630 USA
| | - Gurutzeta Guillera-Arroita
- School of BioSciences; University of Melbourne; Royal Parade, Parkville Melbourne Victoria 3052 Australia
| | - Eleni Matechou
- School of Mathematics, Statistics and Actuarial Science; University of Kent; Parkwood Road Canterbury CT2 7FS UK
| | - Volker Bahn
- Department of Biological Sciences; Wright State University; 3640 Colonel Glenn Hwy. Dayton Ohio 45435 USA
| | - Kamil Bartoń
- Institute of Nature Conservation; Polish Academy of Sciences; al. A. Mickiewicza 33 31-120 Kraków Poland
| | - Colin M. Beale
- Department of Biology; University of York; Wentworth Way York YO10 5DD UK
| | - Simone Ciuti
- Biometry and Environmental System Analysis; University of Freiburg; Tennenbacher Str. 4 79106 Freiburg Germany
- Laboratory of Wildlife Ecology and Behaviour; School of Biology and Environmental Science; University College Dublin; Belfield D4 Dublin Ireland
| | - Jane Elith
- School of BioSciences; University of Melbourne; Royal Parade, Parkville Melbourne Victoria 3052 Australia
| | - Katharina Gerstner
- Computational Landscape Ecology; Helmholtz Centre for Environmental Research-UFZ; Permoser Str. 15 04318 Leipzig Germany
- German Centre for Integrative Biodiversity Research (iDiv) Halle-Jena-Leipzig; Deutscher Platz 5E 04103 Leipzig Germany
| | - Jérôme Guelat
- Swiss Ornithological Institute; Seerose 1 6204 Sempach Switzerland
| | - Petr Keil
- German Centre for Integrative Biodiversity Research (iDiv) Halle-Jena-Leipzig; Deutscher Platz 5E 04103 Leipzig Germany
| | - José J. Lahoz-Monfort
- School of BioSciences; University of Melbourne; Royal Parade, Parkville Melbourne Victoria 3052 Australia
| | - Laura J. Pollock
- Univ. Grenoble Alpes; CNRS; Univ. Savoie Mont Blanc; Laboratoire d'Ecologie Alpine (LECA); Grenoble 38000 France
| | - Björn Reineking
- University Grenoble Alpes; Irstea; UR LESSEM; F-38402 St-Martin-d'Hères Grenoble France
- Biogeographical Modelling; Bayreuth Center of Ecology and Environmental Research BayCEER; University of Bayreuth; Dr. Hans-Frisch-Straße 1-3 95448 Bayreuth Germany
| | - David R. Roberts
- Biometry and Environmental System Analysis; University of Freiburg; Tennenbacher Str. 4 79106 Freiburg Germany
- Department of Geography; University of Calgary; 2500 University Dr. NW Calgary Alberta T2N 1N4 Canada
| | - Boris Schröder
- Landscape Ecology and Environmental Systems Analysis; Institute of Geoecology; Technische Universität Braunschweig; Langer Kamp 19c 38106 Braunschweig Germany
- Berlin-Brandenburg Institute of Advanced Biodiversity Research (BBIB); Altensteinstr. 34 14195 Berlin Germany
| | - Wilfried Thuiller
- Univ. Grenoble Alpes; CNRS; Univ. Savoie Mont Blanc; Laboratoire d'Ecologie Alpine (LECA); Grenoble 38000 France
| | - David I. Warton
- School of Mathematics and Statistics; Evolution and Ecology Research Centre; University of New South Wales; Sydney New South Wales 2052 Australia
| | - Brendan A. Wintle
- School of BioSciences; University of Melbourne; Royal Parade, Parkville Melbourne Victoria 3052 Australia
| | - Simon N. Wood
- School of Mathematics; Bristol University; Tyndall Avenue Bristol BS8 1TW UK
| | - Rafael O. Wüest
- Univ. Grenoble Alpes; CNRS; Univ. Savoie Mont Blanc; Laboratoire d'Ecologie Alpine (LECA); Grenoble 38000 France
- Swiss Federal Institute for Forest, Snow and Landscape Research WSL; Zürcherstrasse 111 8903 Birmensdorf Switzerland
| | - Florian Hartig
- Biometry and Environmental System Analysis; University of Freiburg; Tennenbacher Str. 4 79106 Freiburg Germany
- Theoretical Ecology; University of Regensburg; Universitätsstr. 31 93053 Regensburg Germany
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