In this paper we extend the results of the research started by the first author in which Karlin-McGregor diagonalization of certain reversible Markov chains over countably infinite general state spaces by orthogonal polynomials was used to estimate the rate of convergence to a stationary distribution. We use a method of...
We design a commitment device for college students, “Study More Tomorrow,” conduct a randomized controlled trial testing a model of its takeup, and measure its effect on tutoring attendance and grades. The device commits students to attend tutoring if their midterm grade falls below a pre-specified threshold. Unlike other commitment...
Global warming is expected to cause significant changes in the pattern of precipitation minus evaporation (𝑃 − 𝐸), which represents the net flux of water from the atmosphere to the surface or, equivalently, the convergence of moisture transport within the atmosphere. In most global climate model simulations, the pattern of...
Vegetation carbon uptake and respiration constitute the largest carbon cycle of the planet with an annual turnover
in the order of 120 GT. Currently, neither ecosystem carbon uptake (through photosynthesis) nor ecosystem
carbon release (through respiration) can be measured directly during the daytime. Instead, flux-tower measurements
rely on nighttime respiration...
Background:
The Amazon River runs nearly 6500 km across the South American continent before emptying into the western tropical North Atlantic Ocean. In terms of both volume and watershed area, it is the world’s largest riverine system, affecting elemental cycling on a global scale.
Results:
A quantitative inventory of genes...
The present article establishes connections between the structure of the deterministic Navier-Stokes equations and the structure of (similarity) equations that govern self-similar solutions as expected values of certain naturally associated stochastic cascades. A principle result is that explosion criteria for the stochastic cascades involved in the probabilistic representations of solutions...
Understanding plant photosynthesis, or Gross Primary Production (GPP), is a crucial aspect of quantifying the terrestrial carbon cycle. Remote sensing approaches, in particular multi-angular spectroscopy, have proven successful for studying relationships between canopy-reflectance and plant-physiology processes, thus providing a mechanism to scale up. However, many different instrumentation designs exist and...
Effects of climate change, retreating glaciers, and changing storm patterns on debris flow hazards concern
managers in the Cascade Range (USA) and mountainous areas worldwide. During an intense rainstorm in
November 2006, seven debris flows initiated from proglacial gullies of separate basins on the flanks of Mount
Rainier. Gully heads...
Parasites and pathogens influence the size and stability of wildlife populations, yet many population models ignore
the population-level effects of pathogens. Standard survival analysis methods (e.g., accelerated failure time models)
are used to assess how survival rates are influenced by disease. However, they assume that each individual is equally
susceptible...