What is a Spatial Stream Network?
Our team is using a modification of a predictive stream temperature model that incorporates the flow directionality, distance, and accumulation inherent in the dendritic network structure of rivers. This spatial stream network (SSN) based model uses statistical functions to derive predictor variables related to observed stream temperature data.
SSN predictor variables used to describe relationships with geographically dispersed observed stream temperatures are integrated with geostatistical kriging techniques to make predictions throughout river networks with spatially explicit estimates of uncertainty. This allows us to explore the spatial properties of the data in relation to various in-stream processes and make projections based on future change scenarios.
How is this different than past modelling efforts?
Like other spatial statistical models, SSNs also consistently improve predictive performance relative to non-spatial models. Unlike past modeling efforts, ours will use a set of new and updated explanatory datasets and include process-based modifications to the SSN statistical model fitting process, such as exploring more localized weighting schemes for certain variables like forest canopy, as opposed to considering the entire reach contributing area as influencing the stream equally.
Also unlike past modeling efforts, this project draws from a unprecedentedly large network of sensors, simultaneously recording data across the entire basin over the course of three successive years. This is compared to past models for the basin which have pieced together isolated, disparate data from relatively few sites over large geographic areas.
Above: Conceptual diagram of three spatial scales used to calculate landscape variables associated with stream temperature. These scales of calculation, which relate to a stream reach and associated catchment, include a) stream reach contributing area scale, b) total upstream area scale, and c) a set buffer scale of one hundred meters on each side of each stream reach. Figure: Krochta and Chang, 2023.
Our process makes use of specialized tools and datasets developed for SSN modeling. Spatial Tools for the Analysis of River Systems (STARS) toolset is used in ArcGIS to generate and format the data needed to fit spatial statistical models. The Spatial Stream Network (SSN) package, developed for R statistical software, allows us fit these models and make predictions at all unobserved locations in the watershed, using a form of spatial regression, to be visualized on a map.
All stream temperature data collection followed a rigorous deployment and retrieval protocol though an approved Sampling and Analysis Plan. All temperature sensors used were found to be accurate to +/- 0.5o C, with most to less than +/- 0.2o C. A thorough quality assurance/control process was included in data analysis to ensure accuracy of all temperature readings used in our model.
As a step in the SSN model fitting, all stream "edges" are mapped with observed temperature sites. The line thickness of each stream reach indicates the accumulated upstream drainage areas, a key variable in the model's calculations.