Category Archives: Regime Shifts

Recent papers on ecological resilience

1. Hughes TP, Graham NA, Jackson JB, Mumby PJ, Steneck RS. 2010  Rising to the challenge of sustaining coral reef resilienceTrends in Ecology and Evolution. [epub]

Phase-shifts from one persistent assemblage of species to another have become increasingly commonplace on coral reefs and in many other ecosystems due to escalating human impacts. Coral reef science, monitoring and global assessments have focused mainly on producing detailed descriptions of reef decline, and continue to pay insufficient attention to the underlying processes causing degradation. A more productive way forward is to harness new theoretical insights and empirical information on why some reefs degrade and others do not. Learning how to avoid undesirable phase-shifts, and how to reverse them when they occur, requires an urgent reform of scientific approaches, policies, governance structures and coral reef management.

2. Côté IM, Darling ES, 2010 Rethinking Ecosystem Resilience in the Face of Climate Change. PLoS Biol 8(7): e1000438.

In this Perspective, we will argue that the expectation of increased resilience of natural communities to climate change through the reduction of local stressors may be fundamentally incorrect, and that resilience-focused management may, in fact, result in greater vulnerability to climate impacts. We illustrate our argument using coral reefs as a model. Coral reefs are in an ecological crisis due to climate change and the ever-increasing magnitude of human impacts on these biodiverse habitats [11],[12]. These impacts stem from a multiplicity of local stressors, such as fishing, eutrophication, and sedimentation. It is therefore not surprising that the concept of resilience—to climate change in particular—is perhaps more strongly advocated as an underpinning of management for coral reefs than for any other ecosystem [9],. Marine reserves or no-take areas, the most popular form of spatial management for coral reef conservation, are widely thought to have the potential to increase coral reef resilience [11],[13],[14],[17]. But do they really?

3. Brock, W. A., and S. R. Carpenter. 2010. Interacting regime shifts in ecosystems: implication for early warnings. Ecological Monographs 80:353–367.

Big ecological changes often involve regime shifts in which a critical threshold is crossed. Thresholds are often difficult to measure, and transgressions of thresholds come as surprises. If a critical threshold is approached gradually, however, there are early warnings of the impending regime shift. …  Interacting regime shifts may muffle or magnify variance near critical thresholds. Whether muffling or magnification occurs, and the size of the effect, depend on the product of the feedback between the state variables times the correlation of these variables’ responses to environmental shocks.

4. Dawson, T.P., Rounsevell, M.D.A., Kluvánková-Oravská, T., Chobotová, V. & Stirling, A. 2010. Dynamic properties of complex adaptive ecosystems: implications for the sustainability of service provision. Biodiversity and Conservation. 19(10) 2843-2853.

Predicting environmental change and its impacts on ecosystem goods and services at local to global scales remains a significant challenge for the international scientific community. … Social-Ecological Systems (SES) theory addresses these strongly coupled and complex characteristics of social and ecological systems. It can provide a useful framework for articulating contrasting drivers and pressures on ecosystems and associated service provision, spanning different temporalities and provenances. Here, system vulnerabilities (defined as exposure to threats affecting ability of an SES to cope in delivering relevant functions), can arise from both endogenous and exogenous factors across multiple time-scales. Vulnerabilities may also take contrasting forms, ranging from transient shocks or disruptions, through to chronic or enduring pressures. Recognising these diverse conditions, four distinct dynamic properties emerge (resilience, stability, durability and robustness), under which it is possible to maintain system function and, hence, achieve sustainability.

Systems theorist Vladimir Arnold has died

Vladimir Arnold from WikipediaVladimir I. Arnold one of the major creators of dynamical systems theory used to represent ecological regime shifts died June 3rd this year.

He was one of the creators of the mathematics behind what is known as catastrophe theory and singularity theory which are used to represent regime shifts.  The New York Times writes:

Singularity theory predicts that under certain circumstances slow, smooth changes in a system can lead to an abrupt major change, in the way that the slipping of a few small rocks can set off an avalanche. The theory has applications in physics, chemistry and biology.

“He was a genius and one of the greatest and most influential mathematicians of our time,” said Boris A. Khesin, a former student of Dr. Arnold’s and now a professor of mathematics at the University of Toronto.

One of Dr. Arnold’s biggest contributions was applying the methods of geometry and symmetry to the motion of particles. Dr. Arnold work on how fluids flow was applied to the dynamics of weather, providing a mathematical explanation for why it is not possible to make forecasts months in advance. Infinitesimal gaps or errors in information cause forecasts to diverge completely from reality.

A similar approach can also be applied to the motion of planets. If Earth were the only planet to circle the Sun, its orbit would follow a precise elliptical path, but the gravity of the other planets disturbs the motion. Scientists found that it impossible to calculate the precise motion of the planets over very long periods of time or even prove that Earth will not one day be flung out of the solar system.

Understanding the subtle and difficult-to-predict boundary between stability and instability is important not only in the study of planetary dynamics but also in other endeavors, like designing a nuclear fusion reactor.

In 1954, the Russian mathematician Andrey Kolmogorov figured out a key insight to calculating whether such systems are stable. Dr. Arnold provided a rigorous proof in 1963 for one set of circumstances. Another mathematician, Jürgen Moser, provided the proof for another. The work is now collectively know at the KAM theory.

Johan Röckstrom talks about Planetary Boundaries

Johan Röckstrom recently gave a talk on Planetary Boundaries based on the papers Nature (doi:10.1038/461472a) and Ecology and Society.

In those papers the authors propose propose nine planetary boundaries, beyond which the functioning of the earth system will fundamentally change from the conditions in which human civilization has emerged.  They argue that we have crossed the climate, nitrogen and extinction boundaries, and need to change the course of our civilization to move back into  conditions which provide a safety for human civilization.

The talk is now up in two parts on YouTube (but the quality is only ok).

Four Short Links

1) A new paper in Ecology Letters, Regime shifts in ecological systems can occur with no warning, by Alan Hastings and Derin B. Wysham shows that in models certain types of regime shifts do not exhibit any signs of early warning.  In their abstract they write:

… we show that the class of ecological systems that will exhibit leading indicators of regime shifts is limited, and that there is a set of ecological models and, therefore, also likely to be a class of natural systems for which there will be no forewarning of a regime change … We then illustrate the impact of these general arguments by numerically examining the dynamics of several model ecological systems under slowly changing conditions. Our results offer a cautionary note about the generality of forecasting sudden changes in ecosystems.

2) Climate charts and graphs is a useful blog about using R to download and analyze publically available climate data.

3) Tom Fiddaman makes a simple systems management game in Processing.

4) Alex Steffen on World Changing  claims that Bill Gates gave the Most Important Climate Speech of the Year:

On Friday, the world’s most successful businessperson and most powerful philanthropist did something outstandingly bold, that went almost unremarked: Bill Gates announced that his top priority is getting the world to zero climate emissions.

Computer trading producing new financial dynamics?

In October 1987,  stock markets around the world crashed, with the Dow Jones droping 22%.  The causes of this crash are still unclear, but one of the suspected causes was computer automated trading.  This concern lead attempts to design mechanisms to break potential viscous cycles by creating ‘circuit breakers‘, rules that halt trading if the Dow rapidly .  However, as financial engineers innovate, new risks are emerging.   The Financial Times writes Computer-driven trading raises meltdown fears:

An explosion in trading propelled by computers is raising fears that trading platforms could be knocked out by rogue trades triggered by systems running out of control.

Trading in equities and derivatives is being driven increasingly by mathematical algorithms used in computer programs. They allow trading to take place automatically in response to market data and news, deciding when and how much to trade similar to the autopilot function in aircraft.

Analysts estimate that up to 60 per cent of trading in equity markets is driven in this way.

… Frederic Ponzo, managing partner at GreySpark Partners, a consultancy, said: “It is absolutely possible to bring an exchange to breaking point by having an ‘algo’ entering into a loop so that by sending them at such a rate the exchange can’t cope.”

Regulators say it is unclear who is monitoring traders to ensure they do not take undue risks with their algorithms.

The Securities and Exchange Commission has proposed new rules that would require brokers to establish procedures to prevent erroneous orders.

Mark van Vugt, global head of sales at RTS Realtime Systems, a trading technology company, said: “If a position is blowing up so fast without the exchange or clearing firm able to react or reverse positions, the firm itself could be in danger as well.”

For more details on current problems see the Financial Times article Credit Suisse fined over algo failures

NYSE Euronext revealed on Wednesday it had for the first time fined a trading firm for failing to control its trading algorithms in a case that highlights the pitfalls of the rapid-fire electronic trading that has come to dominate many markets.

The group, which operates the New York Stock Exchange, said it had fined Credit Suisse $150,000 after a case in 2007 when hundreds of thousands of “erroneous messages” bombarded the exchange’s trading system.

Asked if the exchange’s systems could have been knocked out, he said: “If you had multiplied this many times you’d have had a problem on your hands.”

Fire, climate change, and the reorganization of Arctic ecosystems

Alaskan nature writer Bill Sherwonit reports on Yale Environment 360 about the complex response of Arctic ecosystems to climate change in how Arctic Tundra is Being Lost As Far North Quickly Warms:

Researchers have known for years that the Arctic landscape is being transformed by rising temperatures. Now, scientists are amassing growing evidence that major events precipitated by warming — such as fires and the collapse of slopes caused by melting permafrost — are leading to the loss of tundra in the Arctic. The cold, dry, and treeless ecosystem — characterized by an extremely short growing season; underlying layers of frozen soil, or permafrost; and grasses, sedges, mosses, lichens, and berry plants — will eventually be replaced by shrub lands and even boreal forest, scientists forecast.

Much of the Arctic has experienced temperature increases of 3 to 5 degrees F in the past half-century and could see temperatures soar 10 degrees F above pre-industrial levels by 2100. University of Vermont professor Breck Bowden, a watershed specialist participating in a long-term study of the Alaskan tundra, said that such rapidly rising temperatures will mean that the “tundra as we imagine it today will largely be gone throughout the Arctic. It may take longer than 50 or even 100 years, but the inevitable direction is toward boreal forest or something like it.”

… In the course of studying caribou, Joly has also learned a great deal about the role of fire in “low,” or sub-Arctic, tundra, where for several decades at least it has been a much more significant factor than on the North Slope’s “high Arctic” landscape. About 9 percent of Alaska’s lower latitude tundra burned between 1950 and 2007, whereas only 7 percent of the North Slope caught fire during that period. That could change as the region warms and fires become more frequent farther north.

Continue reading

Modelling a social-ecological poverty trap due to infectious disease

In an interesting article Poverty trap formed by the ecology of infectious diseases (Proc Royal Soc B 2009) Mathew Bonds and others, describes how they couple a simple infectious disease model with an simple economic development model to produce model of a infectious disease induced poverty trap.  They write:

The combined causal effects of health on poverty and poverty on health implies a positive feedback system. Despite the importance of understanding such critical and systematic ecological interactions between humans and their most important natural enemies, and the anecdotal evidence that such poverty traps may indeed exist, we lack mechanistic frameworks of poverty traps that are rooted in the dynamics of disease. Here, we propose such a model. We find that a prototypical host–pathogen system, coupled with simple economic models, induces a poverty trap. More broadly, this model serves to illustrate how feedbacks between people and their environment can potentially give rise to major differences in human survival and economic welfare (Diamond 1997).

… we illustrate our underlying concept using a general one-disease SIS (susceptible–infected–susceptible) model, where individuals can be serially reinfected over the course of their lifetime. This model is meant to serve as the simplest general way of representing the kind of repeated threats of infection faced by poor tropical communities. More specifically, the general model also resembles a typical malaria system (Gandon et al. 2001), which has high prevalence rates among the poor and has been especially implicated in hindering economic growth (Gallup & Sachs 2001).

Their model produces two alternative regimes, a high productivity/low disease regime and a low productivity/high disease regime.

Feedback between economics and the ecology of infectious diseases forms a poverty trap. The prevalence of infectious diseases, I*(M) (black line), falls as per capita income rises, while per capita income, M*(I) (grey line), falls as disease prevalence, I, rises. The disease and income functions are in equilibrium where these two curves intersect at (I*(M*), M*(I*)). Two of these equilibria (I*(M*1), M*(I*1) and I*(M*3), M*(I*3)) are stable, and one (I*(M*2), M*(I*2)) is unstable. The poverty trap is the basin of attraction around (I*(M*3), M*(I*3)). α = 0.06; β̄ = 40; μ̄ = 0.01; ν = 0.02; h̄ = 90; δ = 5; ϱ = 0.003; τ = 0.15; ϕ = 15; κ = 30.

Feedback between economics and the ecology of infectious diseases forms a poverty trap. The prevalence of infectious diseases, I*(M) (black line), falls as per capita income rises, while per capita income, M*(I) (grey line), falls as disease prevalence, I, rises. The disease and income functions are in equilibrium where these two curves intersect at (I*(M*), M*(I*)). Two of these equilibria (I*(M*1), M*(I*1) and I*(M*3), M*(I*3)) are stable, and one (I*(M*2), M*(I*2)) is unstable. The poverty trap is the basin of attraction around (I*(M*3), M*(I*3)). α = 0.06; β̄ = 40; μ̄ = 0.01; ν = 0.02; h̄ = 90; δ = 5; ϱ = 0.003; τ = 0.15; ϕ = 15; κ = 30.

In this model, a social-ecological system can be pushed into or out of the poverty trap by changes that effect labour productivity, such as changes in the level of education or infrastructure, or changes in disease prevalence due to the expansion or contraction of public health.

In the paper the authors show that empirical patterns of disease burden and income suggest the existence of disease poverty traps.

They conclude:

While we hope that our model framework can serve as a useful point of departure for exploring more complex relationships, the theoretical analysis we present here has significant implications: simply coupling economics with a well-established model of the ecology of infectious diseases can imply radically different levels of health and economic welfare (i.e. poverty traps) depending on initial conditions. The practical implications are also significant. Because the world’s leading killers of the poor—malaria, HIV/AIDS, tuberculosis, diarrhoea and respiratory infections—are highly preventable and treatable, current global efforts to improve public health in areas of extreme poverty could theoretically pay long-term economic dividends. Furthermore, this analysis underscores that there are dramatic implications if economic activity is coupled with ecological processes that are well-known to behave in nonlinear ways.

Richard Alley explains how CO2 is the climate’s “biggest control knob”

alley_co2talk Richard Alley gave a well reviewed Bjerknes Lecture at the December AGU meetings in San Francisco, in which clearly and interestingly explains the paleo-climatic evidence of how CO2 is a key part of the Earth’s climate regulatory system.  Lots of interesting research, some of it quite recent, is synthesized clearly.

His talk The Biggest Control Knob: Carbon Dioxide in Earth’s Climate History is available on the AGU meeting website.

Richard Alley, is a professor of geosciences, at Penn State University and author of the popular science paeleo-climatology book The Two-Mile Time Machine: Ice Cores, Abrupt Climate Change, and Our Future.

Peatlands as complex adaptive systems

Shifting states. (Left) Hummock-hollow pattern at Rygmossen, a small raised bog near Uppsala, Sweden. (Right) "Ladder" system of ridges and pools, Inverewe Bogs, Scotland. Persistent environmental change, such as a long-term increase in climate wetness, can trigger a shift from one such peatland type to another.

Shifting states. (Left) Hummock-hollow pattern at Rygmossen, a small raised bog near Uppsala, Sweden. (Right) "Ladder" system of ridges and pools, Inverewe Bogs, Scotland. Persistent environmental change, such as a long-term increase in climate wetness, can trigger a shift from one such peatland type to another.

In a Perspective in Science, Nancy Dise reviews how the response of peatlands to global change will be complex (doi:10.1126/science.1174268). She writes:

Research from a variety of areas and approaches is converging upon the concept of peatlands as complex adaptive systems: self-regulating to some degree, but capable of rapid change and reorganization in response to internal developmental changes or to external forcing (4). It has long been known, for instance, that the surface of a peatland can rise and fall, sometimes dramatically, in response to rainfall or mild drought, while maintaining a fairly constant water level relative to the surface. This “Mooratmung” (“bog-breathing”) is related to the sponge-like nature of Sphagnum, which can adsorb water and trap gases. Recent studies have shown that the carbon balance of peatlands can in turn be surprisingly resilient to perturbations, even fairly severe ones. For example, subjecting peat cores (5) or a peatland field site (6) to a water table drawdown similar to a prolonged drought initially led to a respiration-driven loss of soil carbon. But both carbon loss and subsidence (6) lowered the peat surface, decreasing its height above the water table, and effectively shifted the system back toward its starting state. Conversely, a rising water table stimulated growth of Sphagnum and other vegetation, which increased carbon accumulation, raised the surface of the peat and, in effect, lowered the local water table (5). Thus, an environmental perturbation may trigger an initial gain or loss of carbon, but recovery in the direction of the initial state can moderate the impact.

Long-term global changes—particularly warming, drought, and elevated nitrogen deposition—are likely to ultimately induce shifts in some existing peat-forming areas to new ecosystems such as grassland or shrubland (10, 11), and the increase in biomass from vascular plants could in part compensate for carbon losses from soil oxidation during the transition. However, even if some net carbon accumulation returns, the gains are short-lived: The key peatland quality of slowly removing and storing carbon for hundreds or thousands of years is lost.

Considering peatlands as complex adaptive systems characterized by quasistable equilibrium states—resilient to change at some level of perturbation but shifting to new states at higher levels of disturbance—provides a meaningful framework for understanding and modeling their response to environmental change. Ignoring the strong feedbacks inherent in peatlands may lead to substantial under- or overestimates of their response to global change. The challenge is to forecast both the future environmental conditions that peatlands will experience and the internal feedbacks and state changes that may be triggered by these conditions. To meet this challenge it is vital to continue and expand long-term monitoring networks to characterize the present, paleo-environment research to reconstruct the past, and manipulation experiments in the field and laboratory to build our understanding of these unique and valuable ecosystems.