Related Experiment Video
Updated: May 12, 2026
13:27
Exploring the Effects of Atmospheric Forcings on Evaporation: Experimental Integration of the Atmospheric Boundary Layer and Shallow Subsurface
Published on: June 8, 2015
Mathematics applied to the climate system: outstanding challenges and recent progress.
Paul D Williams1, Michael J P Cullen, Michael K Davey
1Department of Meteorology, University of Reading, Earley Gate, Reading RG6 6BB, UK. p.d.williams@reading.ac.uk
Summary
Reliable climate predictions require addressing uncertainties from model formulation. This study outlines three mathematical challenges in developing and evaluating climate models and statistical frameworks for better climate science.
Area of Science:
- Climate Science
- Applied Mathematics
- Statistical Modeling
Background:
- Societal need for accurate climate predictions and uncertainty assessment is critical.
- Uncertainties in climate predictions stem from initial conditions, forcing scenarios, and model formulation.
Purpose of the Study:
- Identify and document key mathematical challenges in climate system modeling.
- Highlight recent progress and inspire future research directions in climate science.
Main Methods:
- Focus on three classes of problems in mathematics applied to the climate system.
- Evaluation of simple physically based global climate models.
- Development and assessment of components within complex climate models, such as general circulation models.
- Development and evaluation of appropriate statistical frameworks for climate data.
Main Results:
- Identified three major challenges in developing and evaluating climate models and statistical frameworks.
- Recent progress in addressing these challenges is presented.
- Emphasized the need for interdisciplinary collaboration.
Conclusions:
- Addressing mathematical challenges in climate modeling is crucial for reliable predictions.
- Closer collaboration between climate scientists, mathematicians, and statisticians is essential.
- This work aims to inspire future research and collaborations in climate science.
Related Concept Videos
01:16What is Climate?
Climate refers to the prevailing weather conditions in a specific area over an extended period. As the saying goes, “Climate is what you expect. Weather is what you get.” Climate is influenced by geographic factors, such as latitude, terrain, and proximity to bodies of water.
01:50Global Climate Change
Throughout its ~4.5 billion year history, the Earth has experienced periods of warming and cooling. However, the current drastic increase in global temperatures is well outside of the Earth’s cyclic norms, and evidence for human-caused global climate change is compelling. Paleoclimatology, the study of ancient climate conditions, provides ample evidence for human-caused global climate change by comparing recent conditions with those in the past.
01:12Precipitation Processes
The experimental conditions in a gravimetric analysis should be optimized to maximize the particle size and purity of the obtained precipitate. Ideally, the concentration of the precipitating reagent should be low with effective stirring to maintain low relative supersaturation for the growth of large crystals. In homogeneous precipitation, the precipitant is slowly generated by a chemical reaction in the solution to avoid local reagent excesses. For example, urea decomposes gradually to...
01:27Microbes and Climate Change
Microorganisms are pivotal agents in Earth's biogeochemical cycles, significantly influencing climate dynamics through their metabolic activities. These microbes modulate the levels of key greenhouse gases by both contributing to and helping mitigate climate change.Microbial Contributions to Greenhouse Gas EmissionsRising global temperatures accelerate microbial metabolism, which, in turn, speeds up the decomposition of organic matter. This process releases carbon dioxide (CO₂) through...
01:29Mathematical Modeling: Problem Solving
Mathematical modeling transforms real-world scenarios into mathematical expressions, allowing for structured problem-solving and analysis. This process involves defining the situation, assigning variables to measurable quantities, selecting an appropriate model, and solving the resulting equation. Such models are invaluable in finance, providing precise methods to evaluate investments, loans, and repayment structures.A widely used example is the calculation of fixed monthly payments on a loan,...
01:22Fundamental Theorem of Calculus I: Problem Solving
In many engineering and environmental applications, accumulated quantities are determined from rates that vary over time. A common example arises in water management, where a supply system pumps water into a storage tank at a rate that changes with time. Accurately determining how much water has entered the tank over a given period is essential for maintaining proper pressure, scheduling operations, and ensuring system safety.The flow rate of water into the tank is described by a time-dependent...