2023 Higher Education Society Cup National College Student Mathematical Modeling Competition - Question E Yellow River Water and Sediment Monitoring Data Analysis
I am so excited that the title is finally out! ! I entered the official website at 6 o'clock and got stuck. I only got the questions now. I planned to do all the AE questions. Briefly introduce myself: The blogger has focused on modeling for four years, participated in dozens of mathematical modeling, large and small, and understands the principles of various models, the modeling process of each model, and various topic analysis methods. He has participated in more than ten mathematical modeling competitions, won two M awards and one H award in three US competitions, and the second prize in the national competition. **I hope that you can click on me when you encounter modeling competitions in the future. I can provide free ideas and some source codes. As long as I have time in future digital modeling competitions, I will definitely write free and open source ideas as soon as possible. **Bloggers keep up with all kinds of digital and analog competitions. For each digital and analog competition, bloggers will write the latest ideas and codes into this column, as well as detailed ideas and complete codes, which are completely free. I hope that friends in need will not miss the article carefully crafted by the author.
only hope! ! ! I’ll be satisfied if you give me three in a row! ! So without further ado, let’s start doing the questions now
Competition question analysis
Attachment 1 presents the actual
monitoring
Relevant data of some monitoring points of the hydrological station are given . Please establish a mathematical model to study the following issues:
Question E is obviously a data analysis and mining question, involving time series prediction models and the processing of time series data. Analyze each question first.
Question 1
Question 1: Study the relationship between the sediment concentration of the Yellow River water at the hydrological station and time, water level, and water flow, and estimate the total annual water flow and annual sediment discharge of the hydrological station in the past 6 years.
Ideas
First of all, we understand that the object we need to study is the sediment content of the Yellow River water, and the dependent variables are time, water level, and water flow. We can basically solve this problem based on the 2016-2021 Yellow River water and sediment detection data in Appendix 1.
answer
Data and time dimensions It seems difficult to understand if you directly take the original data. Let’s do a little processing:
First, let’s look at the relationship between water level and flow on sediment content:
Correlation matrix:
Both are positively correlated and the correlation is quite high, indicating that both have a positive impact on the sand content. Then use time series analysis method to identify the long-term trend of sand content:
Record it here first and sort it out later! I just hope that everyone will give me three consecutive times to satisfy me. The next step is to calculate the estimated sand content in 6 years.