2015英特尔ISEF学科最佳作品摘要 数学 Best of Category Abstract Mathematics

获奖作品基本信息

年份	2015
学科	数学 Mathematics
国家/州	United States of America

获奖作品名称

Mathematical Fire Fighting: Combating Fire with Delaunay Triangulation and Longitudinal-Reversible Cellular Automata

获奖作品摘要

The purpose of this second-year project furthered the previous findings of mathematical modeling of wildfires. The first goal was to optimize the Cellular Automata model created last year in order to enable reversible cell states and longer experimental periods. The second was to construct an algorithm for a 3-D Delaunay Triangulation Model (DTM) to model edge-based fire dynamics. Both models incorporated realistic environmental factors. After the models were optimized, simulations were run and total acreage burnt was compared to data collected by the National Interagency Fire Center for 2004-2014. The US Risk Ranking (USRR) was created and each state was ranked based on risk of environmental and economic damage from wildfires after inclusion of demographic factors.  Major wildfires were recreated with FARSITE and acreage burned vs time was compared to both models.

The Longitudinal-Reversible Cellular Automata (LRCAM) enhanced the CA model and its linear progression. Cells were updated to have reversible states and subsets to increased accuracy of modeling. A new update function developed incorporated more heterogeneous environmental conditions and was applied to all cells. The DTM was made using special triangulation of longitude/latitude points and envelope fire front propagation calculations. Simulations for the entire US were run. 

The LRCAM had 3% error and the DTM had 10% error when compared to the NIFC data. Historical major wildfires were created with FARSITE and compared to both models. The LRCAM was 2.3 times more time efficient than FARSITE. The USRR provided valuable insight regarding the dangers wildfires pose to the country. These models can be used either as a risk analysis tool to predict future outbreaks or as a real time crisis resource manager.

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高中生科研学术活动 英特尔 Intel ISEF 简介

英特尔国际科学与工程大奖赛，简称 "ISEF"，由美国 Society for Science and the Public（科学和公共服务协会）主办，英特尔公司冠名赞助，是全球规模最大、等级最高的中学生的科研科创赛事。ISEF 的学术活动学科包括了所有数学、自然科学、工程的全部领域和部分社会科学。ISEF 素有全球青少年科学学术活动的“世界杯”之美誉，旨在鼓励学生团队协作，开拓创新，长期专一深入地研究自己感兴趣的课题。

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英特尔 ISEF 学术活动详细介绍

英特尔 ISEF 全程指导方案

· 数学 · 物理 · 化学 · 生物 · 计算机 · 工程 ·

学科简介：数学 Mathematics

The study of the measurement, properties, and relationships of quantities and sets, using numbers and symbols. The deductive study of numbers, geometry, and various abstract constructs, or structures.

Subcategories:

Algebra (ALB): The study of algebraic operations and/or relations and the structures which arise from them. An example is given by (systems of) equations which involve polynomial functions of one or more variables.

Analysis (ANL): The study of infinitesimal processes in mathematics, typically involving the concept of a limit. This begins with differential and integral calculus, for functions of one or several variables, and includes differential equations.

Combinatorics, Graph Theory, and Game Theory (CGG): The study of combinatorial structures in mathematics, such as finite sets, graphs, and games, often with a view toward classification and/or enumeration.

Geometry and Topology (GEO): The study of the shape, size, and other properties of figures and spaces. Includes such subjects as Euclidean geometry, non-Euclidean geometries (spherical, hyperbolic, Riemannian, Lorentzian), and knot theory (classification of knots in 3-space).

Number Theory (NUM): The study of the arithmetic properties of integers and related topics such as cryptography.

Probability and Statistics (PRO): Mathematical study of random phenomena and the study of statistical tools used to analyze and interpret data.

Other (OTH): Studies that cannot be assigned to one of the above subcategories. If the project involves multiple subcategories, the principal subcategory should be chosen instead of Other.