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Fire Sync Data Analysis. Christel’s Baby Steps to Temporal and Spatial Analyses. Overview. Conceptual Map Study Design Data Charactistics Data Analysis Roadmap to Success Future Work. Conceptual Map. Forest Type, Landscape position, other. CLIMATE ENSO, PDO, AMO. FIRE EVENTS
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Fire Sync Data Analysis Christel’s Baby Steps to Temporal and Spatial Analyses
Overview • Conceptual Map • Study Design • Data Charactistics • Data Analysis • Roadmap to Success • Future Work
Conceptual Map Forest Type, Landscape position, other CLIMATE ENSO, PDO, AMO FIRE EVENTS Spatial/Temporal Dynamics -Year events -X, Y coord Summer DROUGHT PDSI weather Winter ppt Fuel Oxygen, Ignition Summer soil moisture
Study Design • Observational • Post Ex Facto • Non-random • Spatial • Temporal
Fire Site Categorical X,Y information Fire Event Time Series X,Y information Binary Data Clumping by climatic region could be count data Phase Events ENSO Event Time Series Binary Data? Other PDO, AMO Events as well? Phases Categories? PDSI Continuous index Grid Data Time series X,Y information Data Characteristics
Climate - normal Fire data ??Non-linear Correlated observations Inference? Ecological/Climatological Statistical Prediction? (Interpolation) Data Characteristics
Conceptual Map Forest Type, Landscape position, other CLIMATE ENSO, PDO, AMO FIRE EVENTS Spatial/Temporal Dynamics -Year events -X, Y coord Summer DROUGHT PDSI weather Winter ppt Fuel Oxygen, Ignition Summer soil moisture
The Big Science Question • Yr Climate • A, B, C • A-, B, C • A-, B, C- • … Asynchronous spatial fire pattern over time?? El Nino Influence
Conceptual Map Forest Type, Landscape position, other CLIMATE ENSO, PDO, AMO FIRE EVENTS Spatial/Temporal Dynamics -Year events -X, Y coord Summer DROUGHT PDSI weather Winter ppt Fuel Oxygen, Ignition Summer soil moisture
Research Questions • Yr Climate • A, B, C • A-, B, C • A-, B, C- • … Does drought reflect climatic conditions – spatially and temporally? El Nino Influence
Superposed Epoch Analysis Nonparametric methods for correlated time series data Focuses to find signals around extreme events Research Approach
Superposed Epoch Analysis 77 sites related to drought in the year of the fire Temporal results Descriptive Mapping Research Approach
Spatial Relationships? Regionalize Analysis to deflat spatial influence Test for autocorrelation in distance (x,y) Research Approach
Research Approach • Regionalize • Climatic – PDSI data • PCA ordination
Research Approach • Response Groups • Fire Event data • Clustering • dendrograms • Nonmetric multidimensional Scaling • ordination
Analyzing Spatial & Temporal at the same time?? “Synchrony” Definition: A process of adjustment of rhythms due to an interaction Spatial covariance in population density fluctuations Research Approach
Synchrony Analysis • Spatial covariance – Point Pattern Analysis • Demonstrate scale • Identify mechanisms • Endogenous • Exogenous • Moran’s I Effect: density independent factor (e.g., climate) overrides local population regulators by large environmental shocks that synchonize the population
Synchrony Analysis • Spatial Autocorrelation • Pattern of nearby locations are more likely to have similar magnitude than by chance alone • Signature of past spatial-temporal patterns
Synchrony Analysis • Spatial Autocorrelation Coefficient • Provide an average isotrophic estimation of autocorrelation at each distance class • Formal testing with Confidence Intervals • Bonferroni Adjustment • Distances result in + or – relationships • Displayed with correlograms
Synchrony Analysis • Variogram • Identify and model spatial pattern • Predict (kriging) unmeasured areas value • Require parameter fitting & model selection
Synchrony Analysis • Variogram
Roadmap to success • Hypothesis refinement • Data statements & tests
Roadmap to success • Exploratory data analysis • All datasets • Data format (binary, count, continuous…) • Transformations? • Outliers? • Possible interaction terms (elevation, forest type)?
Roadmap to success • Summary Analyses • Multivariate/NMS (time or space) • Clustering (time or space) • Repeated measures • SEA • Variograms (scale)
Roadmap to success • Statistical Inference & Prediction • Model based methods
Future Work • Spatio-temporal dynamics • Fire, Drought, Climate oscillations • Kurt – drought info • Christel – fire info • Grant - ENSO • Comparison of dynamics • Drought vs fire, etc. • Prediction to unmeasured areas • Hierarchal modelling