Technical Integrity / Collaboration / Exceptional Results

Modeling & Analysis Tools

Integral has developed a variety of mathematical models that use state-of-the-science research findings and algorithms to support complex projects. By using these tools to evaluate, rate, and compare different alternatives on multiple criteria, we are able to help our clients make informed decisions. Benefits have included improving the predictive accuracy of models while maintaining the confidence of all involved parties. Integral brings new techniques to human health risk assessment through the use of microexposure event modeling—a probabilistic tool with the ability to assess both uncertainty and variability. Other tools such as unmixing analysis have enabled clients to discriminate and quantify the nature and contributions of multiple chemical sources to a contaminated site. Below we have highlighted a diverse set of these tools. In addition to these examples, we routinely use models and methodologies that are widely accepted in each of our technical service areas.

Unmixing AnalysisUnmixing Analysis

Integral developed software to apply a powerful numerical technique to environmental investigations. Known as unmixing analysis, this mathematical technique provides strong lines of evidence for characterizing sources and estimating the relative contribution of different sources to site contaminants.

Hierarchical Principal Component AnalysisHierarchical Principal Component Analysis

To analyze multivariate data sets with small numbers of samples, we apply hierarchical principal components analysis. This technique analyzes the data set in multiple blocks of variables, and then assembles the results into a global model, thus capturing the entire multivariate complexity of the data.

Graphical Similarity AnalysisGraphical Similarity Analysis

Integral has developed a new tool for visualizing the similarity between samples, locations, or variables. The resulting superposition of spatial and statistical relationships results in a clear, comprehensible visual display of complex or otherwise imperceptible relationships.

Geostatistical ModelingGeostatistical Modeling

Environmental measurements can be interpolated and contoured in 2 or 3 dimensions to predict likely concentrations at locations where no data exist. Integral uses geostatistical modeling techniques to efficiently assess site conditions, estimate the mass and volume of contamination, and support visualization and evaluation of remedial alternatives.

Connectivity Modeling for Ecological LandscapesConnectivity Modeling for Ecological Landscapes

Incorporating ecological enhancements in site remediation and restoration is gaining momentum with stakeholders. Integral uses landscape connectivity modeling in the early planning process to ensure habitat projects are meeting stakeholders’ needs while maximizing ecological value at the broader landscape scale.

Modeling of Ecological Populations Communities and EcosystemsModeling of Ecological Populations, Communities, and Ecosystems

Evaluating ecological risk is fundamental to most regulatory frameworks; however, such risks are often based on simplistic assumptions rooted in organism-level endpoints. Integral uses numerical models to estimate risks to higher levels of ecological organization, providing better insight for informed risk management decisions.

Habitat Analysis Using Remote SensingHabitat Analysis Using Remote Sensing

Habitat or vegetation surveys for large areas can be substituted by photogrammetric tools employing satellite imaging. Spatially resolved measures of habitat type, patch size, fragmentation, and quality thus obtained can serve as inputs for population models or risk assessments for plant communities.

Microexposure Event ModelingMicroexposure Event Modeling

Integral uses a microexposure event model to assess both uncertainty and variability in potential human health risks. This model profiles an individual’s day-to-day exposure throughout a lifetime, yielding population risks that are more realistic than those estimated using typical probabilistic methods.

Air Dispersion and Deposition ModelingAir Dispersion and Deposition Modeling

Integral models air emissions from stationary and mobile sources to support compliance and/or permitting. Using modeling output, we also perform direct (inhalation) and indirect (food chain) risk assessments. We use the regulatory suite of models and develop customized dispersion models for project-specific estimates.

Geologic and Groundwater ModelingGeologic and Groundwater Modeling

Integral has developed a 3-dimensional geologic and groundwater model to support watershed management. Our model was successfully used to calculate the volume of existing groundwater per unit change in the potentiometric surface for a large-scale aquifer storage and recovery feasibility study.