CRM and CNRS researchers introduce a novel concept, Late Warning Signals (LWS), for aiding post-tipping point ecosystem recovery, enhancing resilience in biodiversity management. LWS may offer crucial insights for timely intervention in ecosystem dynamics, potentially revolutionizing conservation strategies.
Scientists are perennially aware that it is best not to trust theory until it is confirmed by evidence. It is equally true . . . that it is best not to put too much faith in facts until they have been confirmed by theory.
Robert MacArthur (Geographical Ecology, 1972)
Conservation Biology is at the forefront of efforts to understand and protect Earth’s ecosystems and biodiversity from threats that erode biotic interactions and lead to extinctions. With the goal of developing research and providing tools for preserving biodiversity and promoting sustainable ecological management, researchers Josep Sardanyés and Filip Ivančić, from the Centre de Recerca Matemàtica (CRM), along with Blai Vidiella, who was affiliated with the Institute of Evolutionary Biology (IBE) at the time of the research and is now with the Station d’Écologie Théorique et Expérimentale (CNRS), have delved into the complexities of ecological dynamics to introduce a novel concept—late warning signals (LWS)—in their recent publication in the journal Biological Conservation. Their article is part of a special Issue about Non-equilibrium perspectives in biological conservation (edited by Sonia Kefi, Pierre Gaüzère, and Daniel Oro).Central to this exploration is the recognition of regime shifts—sudden, often irreversible alterations in the structure and function of ecosystems—that can be triggered by tipping points. These tipping points represent critical thresholds in the system’s behaviour, beyond which small changes can lead to large and often unforeseen consequences.
Ecosystems, despite their resilience and adaptability, are susceptible to abrupt regime shifts driven by tipping points, especially under the scenario of global change; even efforts to reduce or eliminate stressors that trigger these tipping points may not guarantee a return to their previous states. This highlights the importance of understanding not only the factors that lead to regime shifts but also the dynamics that govern the system’s recovery or potential collapse. To effectively mitigate the impacts of tipping points, conservation policies must incorporate monitoring mechanisms to track the indicators of ecosystems’ resilience, allowing for timely intervention and adaptive management strategies.
The research team’s investigation focuses on unravelling the complexities of ecological regime shifts triggered by tipping points in real ecosystems by means of theoretical and computational research. By studying these phenomena, they aim to bridge the gap between theoretical ecology and conservation practice, translating abstract concepts into tangible strategies for ecosystem management and restoration. Furthermore, the team examines how the properties of tipping points, such as hysteresis and resilience, influence ecosystems’ conservation, management, and restoration efforts.
“In our contribution, we discuss the critical transitions (CTs) that ecosystems undergo, emphasizing the need to identify warning signals indicating the approach of tipping points (so-called early warning signals), and especially those signals emerging after a tipping point has occurred” explains lead author Josep Sardanyés (CRM). “These signals are crucial for detecting the potential collapse or recovery of ecosystems.”
Introducing Late Warning Signals: new strategies for ecosystem recovery
One key innovation introduced in the study is the concept of late warning signals (LWS). Unlike early warning signals (EWS) that indicate an approaching tipping point, LWS provide evidence that a tipping point has already been surpassed, but the system remains in a transient state, offering a window of opportunity for recovery efforts.
“We provide evidence of late warning signals as a means to identify when a system has crossed a tipping point, yet the systems typically remain in a long transient state opening the possibility to take actions to avoid the collapse. This concept opens new avenues for conservation strategies aimed at restoring ecosystems even after critical transitions have occurred,” adds co-lead author Blai Vidiella (CNRS).
The paper discusses various mechanisms causing transients, including examples such as coral reef degradation, kelp forests overgrazing, and overexploitation of ocean fish stocks. These real-world instances highlight the challenges ecosystems face and the importance of timely intervention to prevent irreversible damage.
Furthermore, the study emphasizes the importance of incorporating nonlinear dynamics and non-equilibrium phenomena into management and conservation strategies. Ecosystems are complex adaptive systems and their responses to e.g., perturbations, are often highly nonlinear. By understanding the nature of critical transitions through mathematical and computational models, researchers can aid in developing effective conservation policies.
“In our pursuit to prevent ecosystem collapse and promote resilience, it is essential to consider the dynamic nature of ecosystems and the potential for late warning signals,” concludes Sardanyés. “By integrating these concepts into conservation practice, we can enhance our ability to safeguard Earth’s biodiversity for future generations.” The research by Sardanyés, Ivančić and Vidiella presents a significant contribution to conservation biology, offering valuable insights into ecosystem dynamics by integrating theoretical ecology with empirical evidence. Understanding these mechanisms is crucial for effective conservation as it allows policymakers and practitioners to anticipate and respond to ecosystem changes, fostering resilience and promoting sustainable management practices.
References: Sardanyés, J., Ivančić, F. and Vidiella, B. (2024), “Identifying regime shifts, transients and late warning signals for proactive ecosystem management”, Biological Conservation, Vol. 290, p. 110433, doi: 10.1016/j.biocon.2023.110433.
|
|
CRM CommPau Varela & Mariona Fucho
|
Trivial matemàtiques 11F-2026
Rescuing Data from the Pandemic: A Method to Correct Healthcare Shocks
When COVID-19 lockdowns disrupted healthcare in 2020, insurance companies discarded their data; claims had dropped 15%, and patterns made no sense. A new paper in Insurance: Mathematics and Economics shows how to rescue that information by...
El CRM Faculty Colloquium inaugural reuneix tres ponents de l’ICM 2026
Xavier Cabré, Joaquim Ortega-Cerdà i Xavier Tolsa, tots tres convidats a parlar al Congrés Internacional de Matemàtics del 2026, protagonitzaran la primera edició del nou col·loqui trimestral del Centre el 19 de febrer.El Centre de Recerca...
L’exposició “Figures Visibles” s’inaugura a la FME-UPC
L'exposició "Figures Visibles", produïda pel CRM, s'ha inaugurat avui al vestíbul de la Facultat de Matemàtiques i Estadística (FME) de la UPC coincidint amb el Dia Internacional de la Nena i la Dona en la Ciència. La mostra recull la trajectòria...
Xavier Tolsa rep el Premi Ciutat de Barcelona per un resultat clau en matemàtica fonamental
L’investigador Xavier Tolsa (ICREA–UAB–CRM) ha estat guardonat amb el Premi Ciutat de Barcelona 2025 en la categoria de Ciències Fonamentals i Matemàtiques, un reconeixement que atorga l’Ajuntament de Barcelona i que enguany arriba a la seva 76a edició. L’acte de...
Axel Masó Returns to CRM as a Postdoctoral Researcher
Axel Masó returns to CRM as a postdoctoral researcher after a two-year stint at the Knowledge Transfer Unit. He joins the Mathematical Biology research group and KTU to work on the Neuromunt project, an interdisciplinary initiative that studies...
The 4th Barcelona Weekend on Operator Algebras: Open Problems, New Results, and Community
The 4th Barcelona Weekend on Operator Algebras, held at the CRM on January 30–31, 2026, brought together experts to discuss recent advances and open problems in the field.The event strengthened the exchange of ideas within the community and reinforced the CRM’s role...
From Phase Separation to Chromosome Architecture: Ander Movilla Joins CRM as Beatriu de Pinós Fellow
Ander Movilla has joined CRM as a Beatriu de Pinós postdoctoral fellow. Working with Tomás Alarcón, Movilla will develop mathematical models that capture not just the static architecture of DNA but its dynamic behaviour; how chromosome contacts shift as chemical marks...
Criteris de priorització de les sol·licituds dels ajuts Joan Oró per a la contractació de personal investigador predoctoral en formació (FI) 2026
A continuació podeu consultar la publicació dels criteris de priorització de les sol·licituds dels ajuts Joan Oró per a la contractació de personal investigador predoctoral en formació (FI 2026), dirigits a les universitats públiques i privades del...
Mathematics and Machine Learning: Barcelona Workshop Brings Disciplines Together
Over 100 researchers gathered at the Centre de Recerca Matemàtica to explore the mathematical foundations needed to understand modern artificial intelligence. The three-day workshop brought together mathematicians working on PDEs, probability, dynamical systems, and...
Barcelona + didactics + CRM = CITAD 8
From 19 to 23 January 2026, the CRM hosted the 8th International Conference on the Anthropological Theory of the Didactic (CITAD 8), a leading international event in the field of didactics research that brought together researchers from different countries in...
Seeing Through Walls: María Ángeles García Ferrero at CRM
From October to November 2025, María Ángeles García Ferrero held the CRM Chair of Excellence, collaborating with Joaquim Ortega-Cerdà on concentration inequalities and teaching a BGSMath course on the topic. Her main research focuses on the Calderón problem,...











