Asymptotic analysis of equilibrium in radiation fog
JOURNAL OF APPLIED METEOROLOGY AND CLIMATOLOGY
Authors: Zhou, Binbin; Ferrier, Brad S.
Abstract
A vertical distribution formulation of liquid water content (LWC) for steady radiation fog was obtained and examined through the singular perturbation method. The asymptotic LWC distribution is a consequential balance among cooling, droplet gravitational settling, and turbulence in the liquid water budget of radiation fog. The cooling produces liquid water, which is depleted by turbulence near the surface. The influence of turbulence on the liquid water budget decreases with height and is more significant for shallow fogs than for deep fogs. The depth of the region of surface-induced turbulence can be characterized with a fog boundary layer (FBL). The behavior of the FBL bears some resemblance to the surface mixing layer in radiation fog. The characteristic depth of the FBL is thinner for weaker turbulence and stronger cooling, whereas if turbulence intensity increases or cooling rate decreases then the FBL will develop from the ground. The asymptotic formulation also reveals a critical turbulent exchange coefficient for radiation fog that defines the upper bound of turbulence intensity that a steady fog can withstand. The deeper a fog is, the stronger a turbulence intensity it can endure. The persistence condition for a steady fog can be parameterized by either the critical turbulent exchange coefficient or the characteristic depth of the FBL. If the turbulence intensity inside a fog is smaller than the turbulence threshold, the fog persists, whereas if the turbulence intensity exceeds the turbulence threshold or the characteristic depth of the FBL dominates the entire fog bank then the balance will be destroyed, leading to dissipation of the existing fog. The asymptotic formulation has a first-order approximation with respect to turbulence intensity. Verifications with numerical solutions and an observed fog event showed that it is more accurate for weak turbulence than for strong turbulence and that the computed LWC generally agrees with the observed LWC in magnitude.
Stereotype Content Model, Causal Models, and Allegations of Age Discrimination: Should the Law Change?
ANALYSES OF SOCIAL ISSUES AND PUBLIC POLICY
Authors: Farnum, Katlyn S.; Wiener, Richard L.
Abstract
In 2009, the Supreme Court decided, in Gross v. FBL, that the law governing age discrimination should be interpreted in a stricter manner than before. After Gross, age discrimination claims are tried under but for causality in which the plaintiff's age must be the direct cause of the adverse action, as opposed to mixed motive causality allowable under Title VII, in which age would only have to be a motivating factor. Previous research has shown that but for instructions lead to more pro-defendant verdicts, regardless of case strength, as compared to mixed motive instructions. This study reports on a simulated jury experiment that sought to uncover the influence of stereotypes concerning older workers on juror verdicts in an age discrimination case. Older worker stereotypes were assessed using the Stereotype Content Model's warmth and competence dimensions. In line with previous research, participants were more likely to find for the defendant under but for instructions, as compared to mixed motive. Further, mock jurors' stereotypes predicted their verdicts, but only under the but for instructions, suggesting that jurors rely on stereotypes when they are limited in the case facts they can consider. Implications for policy changes and future research directions are discussed.