Abstract
The identification of properties that contribute to the persistence and resilience of ecosystems despite climate change constitutes a research priority of global relevance1. Here we present a novel, empirical approach to assess the relative sensitivity of ecosystems to climate variability, one property of resilience that builds on theoretical modelling work recognizing that systems closer to critical thresholds respond more sensitively to external perturbations2. We develop a new metric, the vegetation sensitivity index, that identifies areas sensitive to climate variability over the past 14 years. The metric uses time series data derived from the moderate-resolution imaging spectroradiometer (MODIS) enhanced vegetation index3, and three climatic variables that drive vegetation productivity4 (air temperature, water availability and cloud cover). Underlying the analysis is an autoregressive modelling approach used to identify climate drivers of vegetation productivity on monthly timescales, in addition to regions with memory effects and reduced response rates to external forcing5. We find ecologically sensitive regions with amplified responses to climate variability in the Arctic tundra, parts of the boreal forest belt, the tropical rainforest, alpine regions worldwide, steppe and prairie regions of central Asia and North and South America, the Caatinga deciduous forest in eastern South America, and eastern areas of Australia. Our study provides a quantitative methodology for assessing the relative response rate of ecosystems—be they natural or with a strong anthropogenic signature—to environmental variability, which is the first step towards addressing why some regions appear to be more sensitive than others, and what impact this has on the resilience of ecosystem service provision and human well-being.
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Acknowledgements
This work was funded by Statoil ASA, Norway, Contract number 4501995279 (K.J.W., A.W.R.S., D.B.), and by the European Commission LIFE12 ENV/UK/000473 (K.J.W., D.B. and P.R.L.). P.R.L. was also supported by an Oxford Martin School Fellowship. M.M.-F. was supported by a Natural Environment Research Council Independent Research Fellowship (NE/L011859/1) and A.W.R.S. was supported by a Research Council of Norway Postdoctoral Fellowship within a FRIMEDBIO project grant (FRIMEDBIO-214359) during analysis and write-up of this work.
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All authors designed the study. D.B. and P.R.L. prepared and downloaded the remote-sensing data and A.W.R.S. and M.M.-F. carried out the data analysis. A.W.R.S., M.M.-F. and K.J.W. co-wrote the paper, with contributions from D.B. and P.R.L.
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The authors declare no competing financial interests.
Additional information
Remote sensing data are uploaded in the ORA repository (http://www.bodleian.ox.ac.uk/ora, DOI:10.5287/bodleian:VY2PeyGX4.
Extended data figures and tables
Extended Data Figure 1 Study Design.
Flow chart of the algorithm used to estimate the vegetation sensitivity index.
Extended Data Figure 2 RGB composite of climate weights.
RGB composite global map of the mean climate coefficient weights from monthly multiple regressions between vegetation productivity (defined as EVI), vegetation productivity at t−1 and three climate variables (temperature, red; water availability, blue; and cloudiness, green). Areas with dominant barren land (mean EVI < 0.1 for all months) and permanent ice are shown grey. Pixel resolution, 5 km; period, 2000–2013.
Extended Data Figure 3 Global map of the t−1 coefficient.
Global map of t−1 (AR1) coefficient weight from a monthly multiple regressions between vegetation productivity (defined as EVI), vegetation productivity at t−1 and the three climate variables. Areas with dominant barren land (mean EVI < 0.1 for all months) and permanent ice are shown grey. Wetland areas, as identified by the Global Lakes and Wetlands Database30, are mapped in blue. Pixel resolution, 5 km; period, 2000–2013. Continental outlines were modified from a shapefile using ArcGIS 10.2 software (http://www.arcgis.com/home/item.html?id=a3cb207855b348a297ab85261743351d). ArcGIS and ArcMap are the intellectual property of Esri and are used herein under license.
Extended Data Figure 4 EVI variability in areas of low total annual precipitation.
Time series plots of the mean EVI (green) and mean EVI monthly anomalies (blue) for six different dryland/water-limited regions across the world. Time series are calculated by finding the mean monthly value for all 5-km pixels with a 1° grid cell (total pixels = 400). The light green shading in the mean EVI plots represents the upper and lower two standard deviations. a, North American temperate grassland (pixel centre 99.5 W, 47.5 N). b, Eurasian temperate grassland (30.5 E, 48.5 N). c, Eurasian temperate grassland (115.5 °E, 44.5 °N). d, Caatinga forests, woodlands and scrub (37.5 W, 8.5 S). e, Sahel subtropical savanna and shrubland (10.5 E, 13.5 N). f, Australian desert (127.5 E, 27.5 N). The map in the main panel insert represents areas with t−1 and water limitation linear regression coefficients within the upper quartile (see Methods). Red, t−1; dark blue, water limitation; light blue, both).
Extended Data Figure 5 t−1 and water limitation against total annual precipitation.
a, b, Plots of the t−1 (a) and water limitation coefficients (b) from the AR1 linear regression model (see Methods) plotted against total annual precipitation (mm) calculated as the sum of the WorldClim monthly precipitation data40. A random subsample of 1,000 points were taken from dryland areas, defined here as having total annual precipitation between 100 – 800 mm, and between 50 N and 50 S. After removing no-data values from the random subset (that is, unresponsive pixels from the VSI calculation), the total number of samples was 795. A linear model was fit to both data sets independently using generalized least squares in the ‘nlme’36 package in R34. An exponential spatial error term using geographic distance was used to account for spatial autocorrelation in the residuals in the model41. There was a negative significant effect on the size of the t−1 coefficient with increasing total annual precipitation (−0.0003 ± 0.00003, significant at P < 0.01), with a smaller, positive effect of total annual precipitation on water availability (0.0001 ± 0.00003, significant at P < 0.01).
Extended Data Figure 6 Cloudiness index.
Example output of the cloudiness index derived from the MOD35_L2 Cloud Mask product for June 2005. High values indicate more cloud-free days. Note the large number of cloud-free days in dryland regions, and the large number of cloudy days in southeast Asia as a result of the seasonal monsoon. Pixel resolution, 5 km.
Extended Data Figure 7 Number of months with a significant (P < 0.1) coefficient in the principal components regression.
Number of months with a significant (P < 0.1) coefficient in the principal components regression between vegetation productivity (EVI), and climate (temperature, water availability, and cloud cover), and a t−1 vegetation variable. Areas with dominant barren land (mean EVI < 0.1 for all months) and permanent ice are shown grey. Wetland areas, as identified by the Global Lakes and Wetlands Database30, are mapped in blue. Pixel resolution, 5 km; period, 2000–2013. Continental outlines were modified from a shapefile using ArcGIS 10.2 software (http://www.arcgis.com/home/item.html?id=a3cb207855b348a297ab85261743351d). ArcGIS and ArcMap are the intellectual property of Esri and are used herein under license.
Extended Data Figure 8 Mean–variance relationships.
a–d, Plots of the mean–variance relationships for EVI (a) and the three climate variables derived from MODIS data (ground temperature (b), water availability (c) and cloud cover (d)). Owing to the large number of pixels (7,200 × 3,000), these plots are made using 1,000 randomly sampled points from across the Earth surface for clarity.
Extended Data Figure 9 Mean standard error of the MODIS EVI observations.
Mean standard error of the MODIS EVI observations, calculated on a monthly basis over the period 2000–2013 as the standard deviation of all EVI observations per 5 km pixel divided by the square root of the number of observations. Areas with dominant barren land (mean EVI < 0.1 for all months) and permanent ice are shown grey. Wetland areas, as identified by the Global Lakes and Wetlands Database30, are mapped in blue. Continental outlines were modified from a shapefile using ArcGIS 10.2 software (http://www.arcgis.com/home/item.html?id=a3cb207855b348a297ab85261743351d). ArcGIS and ArcMap are the intellectual property of Esri and are used herein under license.
Extended Data Figure 10 Normalized confidence interval amplitudes.
Normalized confidence interval amplitudes (NCIA) for the regression coefficients in the EVI versus external forcings (temperature, water availability, cloudiness) and memory effects (EVI t−1) regression. Larger NCIA values correspond to larger uncertainty in the coefficient estimates. Amplitudes were normalized by the mean coefficient value in each 5 km pixel (that is, a value of 2 corresponds to a total uncertainty twice as big as the coefficient value). Only significant coefficients in the original PCA regression were accounted for, and hence no coefficient crosses zero in any pixel. Areas with dominant barren land (mean EVI < 0.1 for all months) and permanent ice are shown grey. Wetland areas, as identified by the Global Lakes and Wetlands Database30, are mapped in blue. a, Water availability; b, temperature; c, cloudiness; d, EVI t−1. Continental outlines were modified from a shapefile using ArcGIS 10.2 software (http://www.arcgis.com/home/item.html?id=a3cb207855b348a297ab85261743351d). ArcGIS and ArcMap are the intellectual property of Esri and are used herein under license.
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Seddon, A., Macias-Fauria, M., Long, P. et al. Sensitivity of global terrestrial ecosystems to climate variability. Nature 531, 229–232 (2016). https://doi.org/10.1038/nature16986
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DOI: https://doi.org/10.1038/nature16986
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