Spatial statistical models that use flow and stream distance

We develop spatial statistical models for stream networks that can estimate relationships between a response variable and other covariates, make predictions at unsampled locations, and predict an average or total for a stream or a stream segment. There have been very few attempts to develop valid spatial covariance models that incorporate flow, stream distance, or both. The application of typical spatial autocovariance functions based on Euclidean distance, such as the spherical covariance model, are not valid when using stream distance. In this paper we develop a large class of valid models that incorporate flow and stream distance by using spatial moving averages. These methods integrate a moving average function, or kernel, against a white noise process. By running the moving average function upstream from a location, we develop models that use flow, and by construction they are valid models based on stream distance. We show that with proper weighting, many of the usual spatial models based on Euclidean distance have a counterpart for stream networks. Using sulfate concentrations from an example data set, the Maryland Biological Stream Survey (MBSS), we show that models using flow may be more appropriate than models that only use stream distance. For the MBSS data set, we use restricted maximum likelihood to fit a valid covariance matrix that uses flow and stream distance, and then we use this covariance matrix to estimate fixed effects and make kriging and block kriging predictions.

Effects of Systematic Social Skill Training on the Social-Communication Behaviors of Young Children with Autism During Play Activities

A systematic social skills training intervention to teach reciprocal sharing was designed and implemented with triads of preschool-age children, including one child with an autism spectrum disorder (ASD) and two untrained classroom peers who had no delays or disabilities. A multiple-baseline research design was used to evaluate effects of the social skills training intervention on social-communication and sharing behaviors exhibited by the participants with ASD during interactive play activities with peers. Social-communication behaviors measured included contact and distal gestures, touching peers and speaking. Four sharing behaviors were also measured, including sharing toys and objects, receiving toys and objects, asking others to share, and giving requested items. Results indicated considerable gains in overall social-communication behaviors. The greatest improvements were observed in the participants’ use of contact gestures and speaking. Slightly increasing trends were noted and suggested that participants with ASD made modest gains in learning the sharing skills taught during social skills training lessons. Social validity data indicate that participants with ASD and peer participants found the intervention appropriate and acceptable, and staff perception ratings indicated significant changes in the social skills of participants with ASD. Study outcomes have practical implications for educational practitioners related to enhancing social-communication and social interactions of young children with ASD. Study limitations and future directions for research are discussed.

Few-cycle attosecond pulse chirp effects on asymmetries in ionized electron momentum distributions

The momentum distributions of electrons ionized from H atoms by chirped few-cycle attosecond pulses are investigated by numerically solving the time-dependent Schrödinger equation. The central carrier frequency of the pulse is chosen to be 25 eV, which is well above the ionization threshold. The asymmetry (or difference) in the yield of electrons ionized along and opposite to the direction of linear laser polarization is found to be very sensitive to the pulse chirp (for pulses with fixed carrier-envelope phase), both for a fixed electron energy and for the energy-integrated yield. In particular, the larger the pulse chirp, the larger the number of times the asymmetry changes sign as a function of ionized electron energy. For a fixed chirp, the ionized electron asymmetry is found to be sensitive also to the carrier-envelope phase of the few-cycle pulse.