Mimetic Finite Difference Methods for Diffusion Equations

This paper reviews and extends the theory and application of mimetic finite difference methods for the solution of diffusion problems in strongly heterogeneous anisotropic materials. These difference operators satisfy the fundamental identities, conservation laws and theorems of vector and tensor calculus on nonorthogonal, nonsmooth, structured and unstructured computational grids. We provide explicit approximations for equations in two dimensions with discontinuous anisotropic diffusion tensors. We mention the similarities and differences between the new methods and mixed finite element or hybrid mixed finite element methods.     

The CM carbonaceous chondrite regolith Diepenveen

A carbonaceous chondrite was recovered immediately after the fall near the village of Diepenveen in the Netherlands on October 27, 1873, but came to light only in 2012. Analysis of sodium and poly‐aromatic hydrocarbon content suggests little contamination from handling. Diepenveen is a regolith breccia with an overall petrology consistent with a CM classification. Unlike most other CM chondrites, the bulk oxygen isotopes are extremely ¹⁶O rich, apparently dominated by the signature of anhydrous minerals, distributed on a steep slope pointing to the domain of intrinsic CM water. A small subset plots closer to the normal CM regime, on a parallel line 2 ‰ lower in δ¹⁷O. Different lithologies in Diepenveen experienced varying levels of aqueous alteration processing, being less aqueously altered at places rather than more heated. The presence of an agglutinate grain and the properties of methanol‐soluble organic compounds point to active impact processing of some of the clasts. Diepenveen belongs to a CM clan with ~5 Ma CRE age, longer than most other CM chondrites, and has a relatively young K‐Ar resetting age of ~1.5 Ga. As a CM chondrite, Diepenveen may be representative of samples soon to be returned from the surface of asteroid (162173) Ryugu by the Hayabusa2 spacecraft.     

Quantifying erosional equilibrium across a slowly eroding,soil mantled landscape

The textbook concept of an equilibrium landscape, which posits that soil production and erosion are balanced and equal channel incision, is rarely quantified for natural systems. In contrast to mountainous, rapidly eroding terrain, low relief and slow-eroding landscapes are poorly studied despite being widespread and densely inhabited. We use three field sites along a climosequence in South Africa to quantify very slow (2-5 m/My) soil production rates that do not vary across hillslopes or with climate. We show these rates to be indistinguishable from spatially invariant catchment-average erosion rates while soil depth and chemical weathering increase strongly with rainfall across our sites. Our analyses imply landscape-scale equilibrium although the dominant means of denudation varies from physical weathering in dry climates to chemical weathering in wet climates. In the two wetter sites, chemical weathering is so significant that clay translocates both vertically in soil columns and horizontally down hillslope catenas, resulting in particle size variation and the accumulation of buried stone lines at the clay-rich depth. We infer hundred-thousand-year residence times of these stone lines and suggest that bioturbation by termites plays a key role in exhuming sediment into the mobile soil layer from significant depths below the clay layer. Our results suggest how tradeoffs in physical and chemical weathering, potentially modulated by biological processes, shape slowly eroding, equilibrium landscapes. © 2019 John Wiley & Sons, Ltd.     

Mapping massacres: GIS and state terror in Guatemala

This paper employs GIS (geographic information systems) technology to visually display the locations of massacres associated with Guatemala’s civil war. While there have been other, more general maps published depicting the spatial dimensions of violence in Guatemala, few other maps depict this information at the department level, nor have they included information on indigenous populations and physical geography.These maps are part of the emerging field of human rights GIS. For example, over the past two decades, maps have become tools of empowerment in Central America and elsewhere, maps usually made with GIS technology. Indigenous groups in many countries in particular have embraced GIS technology and have begun to use maps as tools in their fight for land and marine resources, as well as greater political autonomy. In the case of massacres in Guatemala, displaying exactly where violent acts took place is one way to educate the Guatemalan public regarding the terrible violence of the recent past. Knowing the name of a specific town where a massacre took place is more concrete, potentially leading to perception of place and people, rather than simply being aware of violence in the countryside.     

Asteroids (65) Cybele, (107) Camilla and (121) Hermione: Infrared spectral diversity among the Cybeles

We find a clear diversity in the 3 μm and 10 μm features of three Cybele asteroids: (107) Camilla, (121) Hermione, and (65) Cybele. (121) Hermione exhibits a “check-like” 3 μm feature, which may be attributed to OH-dominated minerals and (107) Camilla shows a rounded “bowl” like feature closer to that of (65) Cybele, which may be attributed to H₂O-dominated minerals. The 10 μm features of these three asteroids are also different from each other.     

Legal geographies of e-waste legislation in Canada and the US: Jurisdiction,responsibility and the taboo of production

Electronic waste (e-waste) is thought to be the fastest growing segment of the overall solid waste stream in many countries. Between 2003 and 2010 more than half of all Canadian provinces and US states passed legislation specifically to govern the disposition of e-waste. The purpose of this research is to investigate the legal geographies of this legislation. The principle findings are that the work of jurisdiction around e-waste in Canada and the US places financial responsibility for waste management on consumers not producers. Thus, contra the explicit intent of e-waste legislation, a regime of extended consumer, rather than producer, responsibility is emerging and waste generated as a result of design and manufacturing decisions remains taboo. But the implications of the legislative governance of e-waste go beyond questions of regulatory success or failure. At stake in the legislative governance of e-waste is the assembling of the social in a legal way that generates distributions of action that are democratized only so long as they limit public decision making to waste already produced and marketized only so long as they extend the ability of manufacturers, e-waste recyclers, and paramarket organizations to appropriate value. The work of jurisdiction around e-waste suggests jurisdiction can be more multiple, distributed, and patchy than prevailing theory allows.     

The direct and indirect impacts of population growth and economic development on maize (Zea mays L.) diversity in highland Guatemala

This paper discusses the impacts of population growth and economic development on maize diversity in highland Guatemala. In the context of this discussion, economic development specifically refers to the recent expansion of the non-traditional agricultural exports (NTAEs). Population growth and economic development (i.e. NTAEs) are linked because as land has become scarce in highland Guatemala, due to the poor distribution of land resources and rapid population growth over the past 50 years, many farmers have turned to non-traditional economic strategies such as new crops that produce more income per unit of land. These new crops have improved the economic conditions of many farming families, but it has come at a cost regarding the maintenance of local maize varieties and household food security.