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  1. No Access

    Article

    Global warming overshoots increase risks of climate tip** cascades in a network model

    Current policies and actions make it very likely, at least temporarily, to overshoot the Paris climate targets of 1.5–<2.0 °C above pre-industrial levels. If this global warming range is exceeded, potential ti...

    Nico Wunderling, Ricarda Winkelmann, Johan Rockström, Sina Loriani in Nature Climate Change (2023)

  2. Article

    Open Access

    Detecting contagious spreading of urban innovations on the global city network

    Only a fast and global transformation towards decarbonization and sustainability can keep the Earth in a civilization-friendly state. As hotspots for (green) innovation and experimentation, cities could play a...

    Niklas H. Kitzmann, Pawel Romanczuk in The European Physical Journal Special Topi… (2022)

  3. Article

    Open Access

    Dose–response functions and surrogate models for exploring social contagion in the Copenhagen Networks Study

    Spreading dynamics and complex contagion processes on networks are important mechanisms underlying the emergence of critical transitions, tip** points and other non-linear phenomena in complex human and natu...

    Jonathan F. Donges, Jakob H. Lochner in The European Physical Journal Special Topi… (2021)

  4. Article

    Open Access

    Modelling nonlinear dynamics of interacting tip** elements on complex networks: the PyCascades package

    Tip** elements occur in various systems such as in socio-economics, ecology and the climate system. In many cases, the individual tip** elements are not independent of each other, but they interact across ...

    Nico Wunderling, Jonathan Krönke in The European Physical Journal Special Topi… (2021)

  5. No Access

    Article

    Past abrupt changes, tip** points and cascading impacts in the Earth system

    The geological record shows that abrupt changes in the Earth system can occur on timescales short enough to challenge the capacity of human societies to adapt to environmental pressures. In many cases, abrupt ...

    Victor Brovkin, Edward Brook, John W. Williams, Sebastian Bathiany in Nature Geoscience (2021)

  6. Article

    Open Access

    Global warming due to loss of large ice masses and Arctic summer sea ice

    Several large-scale cryosphere elements such as the Arctic summer sea ice, the mountain glaciers, the Greenland and West Antarctic Ice Sheet have changed substantially during the last century due to anthropoge...

    Nico Wunderling, Matteo Willeit, Jonathan F. Donges in Nature Communications (2020)

  7. No Access

    Article

    The hysteresis of the Antarctic Ice Sheet

    More than half of Earth’s freshwater resources are held by the Antarctic Ice Sheet, which thus represents by far the largest potential source for global sea-level rise under future warming conditions1. Its long-t...

    Julius Garbe, Torsten Albrecht, Anders Levermann, Jonathan F. Donges in Nature (2020)

  8. Article

    Open Access

    A network-based microfoundation of Granovetter’s threshold model for social tip**

    Social tip**, where minorities trigger larger populations to engage in collective action, has been suggested as one key aspect in addressing contemporary global challenges. Here, we refine Granovetter’s wide...

    Marc Wiedermann, E. Keith Smith, Jobst Heitzig, Jonathan F. Donges in Scientific Reports (2020)

  9. No Access

    Article

    Human impacts on planetary boundaries amplified by Earth system interactions

    The planetary boundary framework presents a ‘planetary dashboard’ of humanity’s globally aggregated performance on a set of environmental issues that endanger the Earth system’s capacity to support humanity. W...

    Steven J. Lade, Will Steffen, Wim de Vries, Stephen R. Carpenter in Nature Sustainability (2020)

  10. Article

    Open Access

    Coherent response of the Indian Monsoon Rainfall to Atlantic Multi-decadal Variability over the last 2000 years

    Indian Summer Monsoon (ISM) rainfall has a direct effect on the livelihoods of two billion people in the Indian-subcontinent. Yet, our understanding of the drivers of multi-decadal variability of the ISM is fa...

    Pothuri Divakar Naidu, Raja Ganeshram, Massimo A. Bollasina in Scientific Reports (2020)

  11. No Access

    Article

    Amplified Rossby waves enhance risk of concurrent heatwaves in major breadbasket regions

    In an interconnected world, simultaneous extreme weather events in distant regions could potentially impose high-end risks for societies1,2. In the mid-latitudes, circumglobal Rossby waves are associated with a s...

    Kai Kornhuber, Dim Coumou, Elisabeth Vogel, Corey Lesk in Nature Climate Change (2020)

  12. No Access

    Article

    The physics of governance networks: critical transitions in contagion dynamics on multilayer adaptive networks with application to the sustainable use of renewable resources

    Adaptive networks are a versatile approach to model phenomena such as contagion and spreading dynamics, critical transitions and structure formation that emerge from the dynamic coevolution of complex network...

    Fabian Geier, Wolfram Barfuss in The European Physical Journal Special Topi… (2019)

  13. Article

    Open Access

    When optimization for governing human-environment tip** elements is neither sustainable nor safe

    Optimizing economic welfare in environmental governance has been criticized for delivering short-term gains at the expense of long-term environmental degradation. Different from economic optimization, the conc...

    Wolfram Barfuss, Jonathan F. Donges, Steven J. Lade, Jürgen Kurths in Nature Communications (2018)

  14. Article

    Open Access

    Clustered marginalization of minorities during social transitions induced by co-evolution of behaviour and network structure

    Large-scale transitions in societies are associated with both individual behavioural change and restructuring of the social network. These two factors have often been considered independently, yet recent advan...

    Carl-Friedrich Schleussner, Jonathan F. Donges, Denis A. Engemann in Scientific Reports (2016)

  15. No Access

    Article

    How complex climate networks complement eigen techniques for the statistical analysis of climatological data

    Eigen techniques such as empirical orthogonal function (EOF) or coupled pattern (CP)/maximum covariance analysis have been frequently used for detecting patterns in multivariate climatological data sets. Rece...

    Jonathan F. Donges, Irina Petrova, Alexander Loew, Norbert Marwan in Climate Dynamics (2015)

  16. Article

    Open Access

    Identifying causal gateways and mediators in complex spatio-temporal systems

    Identifying regions important for spreading and mediating perturbations is crucial to assess the susceptibilities of spatio-temporal complex systems such as the Earth’s climate to volcanic eruptions, extreme e...

    Jakob Runge, Vladimir Petoukhov, Jonathan F. Donges in Nature Communications (2015)

  17. Article

    Open Access

    Complex networks for climate model evaluation with application to statistical versus dynamical modeling of South American climate

    In this study we introduce two new node-weighted difference measures on complex networks as a tool for climate model evaluation. The approach facilitates the quantification of a model’s ability to reproduce th...

    Jan H. Feldhoff, Stefan Lange, Jan Volkholz, Jonathan F. Donges in Climate Dynamics (2015)

  18. No Access

    Chapter

    Complex Network Analysis of Recurrences

    We present a complex network-based approach to characterizing the geometric properties of chaos by exploiting the pattern of recurrences in phase space. For this purpose, we utilize the basic definition of a r...

    Reik V. Donner, Jonathan F. Donges, Yong Zou in Recurrence Quantification Analysis (2015)

  19. No Access

    Article

    Visibility graph analysis of geophysical time series: Potentials and possible pitfalls

    Recently, complex network approaches to time series analysis have been developed and successfully applied to geophysical records. In this paper, the visibility graph approach is re-considered, which has been f...

    Reik V. Donner, Jonathan F. Donges in Acta Geophysica (2012)