This book intends to be an alert to the fact that the curve measuring environmental costs against the economic benefits of capitalism has irreversibly entered into a negative phase. The prospect of an environmental collapse has been evidenced by the sciences and the humanities since the 1960s. Today, it imposes its urgency. This collapse differs from past civilizations in that it is neither local nor just civilizational. It is global and occurs at the broadest level of the biosphere, accelerated by the convergence of different socio-environmental crises, such as: Earth energy imbalance, climate change and global warming Sea-level rise Decrease and degradation of forests Collapse of terrestrial and aquatic biodiversity Floods, droughts, wildfires, and extreme weather events Degradation of soils and water resources Increase in pollution caused by fossil fuels and coal Increase in waste production and industrial intoxication The book is divided in two parts. In the first part it presents a comprehensive review of scientific data to show the already visible effects of each of the different environmental crises and its consequences to human life on Earth. In the second part, Luiz Marques critically discusses what he calls the three concentric illusions that prevent us from realizing the gravity of the current socio-environmental crises: the illusion of a sustainable capitalism, the illusion that economic growth is still capable of providing more well-being and the anthropocentric illusion. Finally, Marques argues that "fitting" back into the biosphere will only be possible if we dismantle the expansive socioeconomic gear that has shaped our societies since the 16th century by moving from a Social Contract to a Natural Contract, which takes into account the whole biosphere. According to him, the future society will be post-capitalist or it will not be a complex society, and even perhaps, we must fear, no society at all. “This book is backed up with the latest and best science and has made the complexities understandable for the average reader, all in a context of hope for the future.” - William J. Ripple, PhD, Distinguished Professor of Ecology, Director of the Alliance of World Scientists, Oregon State University

This book deals with numerical methods that preserve properties of Hamiltonian systems, reversible systems, differential equations on manifolds and problems with highly oscillatory solutions. A complete self-contained theory of symplectic and symmetric methods, which include Runge-Kutta, composition, splitting, multistep and various specially designed integrators, is presented and their construction and practical merits are discussed. The long-time behaviour of the numerical solutions is studied using a backward error analysis (modified equations) combined with KAM theory. The book is illustrated by numerous figures, treats applications from physics and astronomy, and contains many numerical experiments and comparisons of different approaches.

This paper synthesizes available information on the effects of hazardous fuel reduction treatments on terrestrial wildlife and invertebrates in dry coniferous forest types in the West. We focused on thinning and/or prescribed fire studies in ponderosa pine (Pinus ponderosa) and dry-type Douglas-fir (Pseudotsuga menziesii), lodgepole pine (Pinus contorta), and mixed coniferous forests. Overall, there are tremendous gaps in information needed to evaluate the effects of fuel reduction on the majority of species found in our focal area. Differences among studies in location, fuel treatment type and size, and pre- and post-treatment habitat conditions resulted in variability in species responses. In other words, a species may respond positively to fuel reduction in one situation and negatively in another. Despite these issues, a few patterns did emerge from this synthesis. In general, fire-dependent species, species preferring open habitats, and species that are associated with early successional vegetation or that consume seeds and fruit appear to benefit from fuel reduction activities. In contrast, species that prefer closed-canopy forests or dense understory, and species that are closely associated with those habitat elements that may be removed or consumed by fuel reductions, will likely be negatively affected by fuel reductions. Some habitat loss may persist for only a few months or a few years, such as understory vegetation and litter that recover quickly. The loss of large-diameter snags and down wood, which are important habitat elements for many wildlife and invertebrate species, may take decades to recover and thus represent some of the most important habitat elements to conserve during fuel reduction treatments. Management activities that consider the retention of habitat structures (such as snags, down wood, and refugia of untreated stands) may increase habitat heterogeneity and may benefit the greatest number of species in the long run.