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James M. McGree

Publications and source records attributed to James M. McGree.

21 records · Page 2Linked to original sources

Predicting Sediment and Nutrient Concentrations in Rivers Using High Frequency Water Quality Surrogates

A particular focus of water-quality monitoring is the concentrations of sediments and nutrients in rivers, constituents that can smother biota and cause eutrophication. However, the physical and economic constraints of manual sampling prohibit data collection at the frequency required to capture adequately the variation in concentrations through time. Here, we developed models to predict total suspended solids (TSS) and oxidized nitrogen (NOx) concentrations based on high-frequency time series of turbidity, conductivity and river level data from low-cost in situ sensors in rivers flowing into the Great Barrier Reef lagoon. We fit generalized least squares linear mixed effects models with a continuous first-order autoregressive correlation to data collected traditionally by manual sampling for subsequent analysis in the laboratory, then used these models to predict TSS or NOx from in situ sensor water-quality surrogate data, at two freshwater sites and one estuarine site. These models accounted for both temporal autocorrelation and unevenly time-spaced observations in the data. Turbidity proved a useful surrogate of TSS, with high predictive ability at both freshwater and estuarine sites. NOx models had much poorer fits, even when additional covariates of conductivity and river level were included along with turbidity. Furthermore, the relative influence of covariates in the NOx models was not consistent across sites. Our findings likely reflect the complexity of dissolved nutrient dynamics in rivers, which are influenced by multiple and interacting factors including physical, chemical and biological processes, and the need for greater and better incorporation of spatial and temporal components within models.

stat.AP↗

An approach for finding fully Bayesian optimal designs using normal-based approximations to loss functions

The generation of decision-theoretic Bayesian optimal designs is complicated by the significant computational challenge of minimising an analytically intractable expected loss function over a, potentially, high-dimensional design space. A new general approach for approximately finding Bayesian optimal designs is proposed which uses computationally efficient normal-based approximations to posterior summaries to aid in approximating the expected loss. This new approach is demonstrated on illustrative, yet challenging, examples including hierarchical models for blocked experiments, and experimental aims of parameter estimation and model discrimination. Where possible, the results of the proposed methodology are compared, both in terms of performance and computing time, to results from using computationally more expensive, but potentially more accurate, Monte Carlo approximations. Moreover the methodology is also applied to problems where the use of Monte Carlo approximations is computationally infeasible.

stat.ME↗

Model selection via Bayesian information capacity designs for generalised linear models

The first investigation is made of designs for screening experiments where the response variable is approximated by a generalised linear model. A Bayesian information capacity criterion is defined for the selection of designs that are robust to the form of the linear predictor. For binomial data and logistic regression, the effectiveness of these designs for screening is assessed through simulation studies using all-subsets regression and model selection via maximum penalised likelihood and a generalised information criterion. For Poisson data and log-linear regression, similar assessments are made using maximum likelihood and the Akaike information criterion for minimally-supported designs that are constructed analytically. The results show that effective screening, that is, high power with moderate type I error rate and false discovery rate, can be achieved through suitable choices for the number of design support points and experiment size. Logistic regression is shown to present a more challenging problem than log-linear regression. Some areas for future work are also indicated.

stat.ME↗