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A C OMPUTER -A SSISTED T REE -R ING C HRONOLOGY C OMPOSITION S YSTEM System Overview B y: James B. Engle Department of Electrical and Computer Engineering at The University of Arizona.
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A COMPUTER-ASSISTEDTREE-RING CHRONOLOGYCOMPOSITION SYSTEMSystem OverviewBy: James B. EngleDepartment of Electrical and Computer EngineeringatThe University of Arizona J. Engle, University of Arizona, ECE-DIAL/LTRR
Table of ContentsSection Slides1. Background - TREES program overview........................ 3-62. Introducing the CROSSDATE program........................... 7-103. Correlation Tool............................................................... 12-144. Composition Tool............................................................. 15-185. Check Tool....................................................................... 19-226. User Help......................................................................... 237. Contribution to Dendrochronology................................... 24 Reference: Engle, James B., A Computer-Assisted Tree-Ring Chronology Composition System, Master’s Thesis, University of Arizona, 2000. J. Engle, University of Arizona, ECE-DIAL/LTRR
TREES: Computer vision based tree-ring analysis and measurement system. • Tree-ring Sample Image Acquisition • Tree-ring Detection and Measurement • Tree-ring Width Standardization • Focus is on a single tree-ring sample. J. Engle, University of Arizona, ECE-DIAL/LTRR
TREESSystem Components J. Engle, University of Arizona, ECE-DIAL/LTRR
A Computer-Assisted Tree-RingChronology Composition System • TREESGraphic UserInterface Tree-Ring Views Skeleton Plot SequentialProcess Steps:1.Capture Frames2. Create Mosaic3. Find Rings4. Measure Rings5. Create Skeleton Plot J. Engle, University of Arizona, ECE-DIAL/LTRR
TREES Program Output:Index Value Time Series • Standardizationis the process of modeling and removing non-climatic variation to reduce absolute tree-ring width measurements to a common relative scale. • Raw tree-ring width measurements are detrended to produce index values. • Index values represent relativevariations in growth and are the basis of comparing one sample’s growth to another. J. Engle, University of Arizona, ECE-DIAL/LTRR
CROSSDATE: A Computer-Assisted Tree-Ring Chronology Composition System • Separate application from TREES. • Output of TREES is input to CROSSDATE. • Works simultaneously with TREES. • Focus is on multiple tree-ring samples. • A tool, not an expert system. J. Engle, University of Arizona, ECE-DIAL/LTRR
Objectives CROSSDATE is a software tool to assist dendrochronologists to: • Determine the dating of a tree-ring sample. • Compose a master chronology for a site from individual samples. • Perform a QC Check to ensure the validity of a master chronology. J. Engle, University of Arizona, ECE-DIAL/LTRR
Requirements • Ability to determine, manually and with computer assistance, the point where two tree ring samples match in time. • Ability to compose master chronologies from individual samples and other master chronologies. • Ability to rigorously check a tentative chronology for correctness. • Ability to determine and review the specific samples from which a master chronology is composed for purposes of returning to the original wood sample. J. Engle, University of Arizona, ECE-DIAL/LTRR
Requirements • Easy to use, intuitive graphic user interface (GUI) that mimics the steps a tree-ring scientist follows when performing manual crossdating. • Ability to exchange data (Import/Export) in common formats to other tree-ring application programs. • Ability to operate on PC and UNIXworkstation hardware platforms. • Ability to operateseamlessly with the TREES program. J. Engle, University of Arizona, ECE-DIAL/LTRR
CROSSDATE Graphic User Interface J. Engle, University of Arizona, ECE-DIAL/LTRR
Correlation ToolMatch two (2) standardized tree-ring samples in time based on relative patterns of variation in growth. Procedure:1. Calculate correlation coefficient (r) for each possible match point.2. Convert r to t-statistic for hypothesis tests.3. Evaluate the significance.4. Rank and display the results. J. Engle, University of Arizona, ECE-DIAL/LTRR
Correlation CoefficientEfficiently computed using Fast Fourier Transform(FFT) and “One-Pass” statistical accumulation. Correlation Coefficient: Statistical Accumulation forStandard Deviation:(Sxx shown, Syy similar) Cross-Correlation via FFT: J. Engle, University of Arizona, ECE-DIAL/LTRR
CROSSDATE Correlation Graph J. Engle, University of Arizona, ECE-DIAL/LTRR
Composition ToolCreates a master chronology from individual samples and other master chronologies after performing pattern matching. • Definition: A master chronology is a composite of individual samples. Composite means the arithmetic average of component samples index values for each year of the entire time period range. J. Engle, University of Arizona, ECE-DIAL/LTRR
Master Chronology • Useful for recording the growth pattern variation for a site over some time period. • Subsequently useful for dating new samples using correlation pattern matching. • International Tree Ring Data Bank (ITRDB) provides a simple format for data exchange. CROSSDATE imports and exports ITRDB format chronology files. • The annual average index value and number of component samples are exchanged with other programs. J. Engle, University of Arizona, ECE-DIAL/LTRR
CROSSDATE Master Chronologies Composedhierarchicallyusingintermediatechronologies. J. Engle, University of Arizona, ECE-DIAL/LTRR
CROSSDATE Master Chronology Display Screen Sample Depth Components J. Engle, University of Arizona, ECE-DIAL/LTRR
Check ToolPerforms extensive checking on each sample component of a master chronology. • Checks performed:1. Date Alignment2. File Date Check3. Statistical Outliers4. Overall Fit5. Segment Fit • Results are available on Graphic Display and as a Text Report. J. Engle, University of Arizona, ECE-DIAL/LTRR
Component QC Check Panel (Graphic Display) J. Engle, University of Arizona, ECE-DIAL/LTRR
Component QC Check Report (Text Report) J. Engle, University of Arizona, ECE-DIAL/LTRR
Component QC Check Report (Text Report) J. Engle, University of Arizona, ECE-DIAL/LTRR
CROSSDATE User Help • HTML User Help Files are distributed with CROSSDATE. • Menu button invokes Netscapebrowser with CROSSDATE help index. • User Help Files may be viewed with any HTML viewer. J. Engle, University of Arizona, ECE-DIAL/LTRR
Conclusion • Contributions to Dendrochronology • Graphic framework for performing tree-ring sample comparison activities. • Uses familiar methods. • Completes the TREES system. • May be extended as new methods are developed. J. Engle, University of Arizona, ECE-DIAL/LTRR