Climate Models (Week 5) - Post 1



Climate Models
Climate models are crucial tools to help people understand the complexities and dynamic interactions within Earth's climate system. Models are built on our understanding of basic physics and Earth processes and are grounded in observations and measurements of the world around us. Since we only have one planet and can only run one global climate experiment in the real world, models are our only tools to help us peer into the future and ask "what if..." questions. The range of probable outcomes from possible future scenarios helps us make decisions about mitigation and adaptation.

5.1 Notes
Learning Goals
By the end of this section, you will be able to:
-Explain how modeling and observations together help us learn about how Earth’s climate system works.
-Explain, conceptually, how a simple energy balance model works, and some of the possible variations on an energy balance model.

Video Notes:
*Language is a model: Language is a representation of your thoughts, but it can never really quite be what you’re thinking, though in our language we do aim to get as close as possible to communicating what it is we are thinking.
-Ideally climate models align with physical reality.
-(real world) Observations influence (climate) models: models also influence observations.
-Ultimately people build models to help better understand Earth’s climate system. It is an ongoing effort.
Key Points:
-Climate models are our attempts to represent Earth’s climate system, so that we can better understand how it works, since we can’t conduct whole-earth experiments.
-Climate models are grounded in physics, chemistry, and biology.
(with climate models, we’re attempting to represent Earth’s climate system. So it’s important to ground the model in how real world science plays out.)
-Climate models are constrained by observation in the real world and can also help inform further observational efforts.
-Even fairly simple climate models, like energy balance models, can help us understand and represent important processes in Earth’s climate system.

Readings

How do Climate Models Work
A pixelated Earth:
-Today's most sophisticated climate models are called GCMs, which stands for General Circulation Model or Global Climate Model, depending on who you talk to. On average, they are about 500 000 lines of computer code long, and mainly written in Fortran, a scientific programming language. Despite the huge jump in complexity, GCMs have much in common with the one-line climate model above: they're just a lot of basic physics equations put together.
-If you look at the subject of your photo with your own eyes, it's not pixelated, no matter how close you get - even if you look at it through a microscope. The real world is continuous (unless you're working at the quantum level!) Similarly, the surface of the world isn't actually split up into three-dimensional cells (you can think of them as cubes, even though they're usually wedge-shaped) where every climate variable - temperature, pressure, precipitation, clouds - is exactly the same everywhere in that cell. Unfortunately, that's how scientists have to represent the world in climate models, because that's the only way computers work. The same strategy is used for the fourth dimension, time, with discrete "timesteps" in the model, indicating how often calculations are repeated.
-Despite the seemingly enormous computer power available to us today, GCMs have always been limited by it.
Cracking the Code:
-A climate model is actually a collection of models - typically an atmosphere model, an ocean model, a land model, and a sea ice model. Some GCMs split up the sub-models (let's call them components)
-Each component represents a staggering amount of complex, specialized processes.
-Each component is developed independently, and as a result, they are highly encapsulated (bundled separately in the source code). However, the real world is not encapsulated - the land and ocean and air are very interconnected. Some central code is necessary to tie everything together. This piece of code is called the coupler, and it has two main purposes:
  1. Pass data between the components. This can get complicated if the components don't all use the same grid (system of splitting the Earth up into cells).
  2. Control the main loop, or "time stepping loop", which tells the components to perform their calculations in a certain order, once per time step.
Show time:
-When it's time to run the model, you might expect that scientists initialize the components with data collected from the real world. Actually, it's more convenient to "spin up" the model: start with a dark, stationary Earth, turn the Sun on, start the Earth spinning, and wait until the atmosphere and ocean settle down into equilibrium. The resulting data fits within the boundaries of the real climate, and could easily pass for real weather.
-Scientists feed input files into the model, which contain the values of certain parameters, particularly agents that can cause climate change…Through these input files, it's possible to recreate the climate from just about any period of the Earth's lifespan: the Jurassic Period, the last Ice Age, the present day...and even what the future might look like, depending on what we do (or don't do) about global warming.
-As the model runs, every cell outputs the values of different variables (such as atmospheric pressure, ocean salinity, or forest cover) into a file, once per time step. The model can average these variables based on space and time, and calculate changes in the data. When the model is finished running, visualization software converts the rows and columns of numbers into more digestible maps and graphs.
Predicting the Past:
-So how do we know the models are working? Should we trust the predictions they make for the future? It's not reasonable to wait for a hundred years to see if the predictions come true, so scientists have come up with a different test: tell the models to predict the past, and see if the climate it recreates matches up with observations from the real world.
*Climate models aren't perfect, but they are doing remarkably well. They pass the tests of predicting the past, and go even further. For example, scientists don't know what causes El Niño, a phenomenon in the Pacific Ocean that affects weather worldwide. There are some hypotheses on what oceanic conditions can lead to an El Niño event, but nobody knows what the actual trigger is. Consequently, there's no way to program El Niños into a GCM. But they show up anyway - the models spontaneously generate their own El Niños, somehow using the basic principles of fluid dynamics to simulate a phenomenon that remains fundamentally mysterious to us.
-Also, history has shown us that when climate models make mistakes, they tend to be too stable, and underestimate the potential for abrupt changes. Take the Arctic sea ice: just a few years ago, GCMs were predicting it would completely melt around 2100. Now, the estimate has been revised to 2030, as the ice melts faster than anyone anticipated:


Answering the Big Question:
At the end of the day, GCMs are the best prediction tools we have. If they all agree on an outcome, it would be silly to bet against them. However, the big questions, like "Is human activity warming the planet?", don't even require a model. The only things you need to answer those questions are a few fundamental physics and chemistry equations that we've known for over a century.

Climate Models and Climate Change:
-For climate change experiments, it is important that models capture the fundamental processes that respond to climate ‘forcing’ (e.g. the radiation changes from changing greenhouse gases and aerosols). Consequently, some of the important parts of a global climate model relate to:
  1. The response to variability of solar irradiance on a range of time scales.
  2. Changes to the Earth's energy balance at the surface and top of atmosphere from volcanic eruptions
  3. How radiation is absorbed and reflected on its way through the atmosphere but also at the surface.
  4. Atmosphere and ocean dynamics (and how energy and momentum is transported through the different media)
  5. How greenhouse gases and aerosols affect the Earth's climate and climate variability
  6. Sea ice and polar ice sheets
  7. Various climate ‘feedback’, such as the interaction of clouds and water vapour with the warming climate, and the changing absorption or emission of CO2 from the ocean and land surface.
Climate Models and Weather Forecasts:
-While there are many similarities between models used for daily weather forecasts and models used for climate projections, there are some important differences. The IPCC (2013) notes:
-Unlike weather forecasts, these historical climate simulations are not periodically adjusted with updated information about the state of the climate to improve the forecast, they are initialized in 1850 then loosely constrained by the prescribed forcing. Therefore, the historical simulations are not designed (or expected) to reproduce the observed sequence of weather and climate events during the 20th century, but they are designed to reproduce observed multi-decadal climate statistics, such as averages.
-The 21st century simulations run from 2006-2100, driven by prescribed anthropogenic forcings. Owing to uncertainties in the model formulation and the initial state, any individual simulation represents only one of the possible pathways the climate system might follow. To allow some evaluation of these uncertainties, it is necessary to carry out a number of simulations either with several models or by using an ensemble of simulations with a single model, both of which increase computational cost.


5.2 Notes
Learning Goals
By the end of this section, you will be able to:
-Describe the tradeoffs among (1) model resolution in time and space, (2) number of processes modeled, (3) time period modeled, and (4) number of model runs.
-Define parameterization and give examples of parameterizations in climate models.
-Describe basic categories of climate models (EBMs, EMICs, GCMs) and their uses and limitations.
Video Notes
*We have constraints on climate models imposed by computer power and the speed at which we can solve the millions of equations.
Parametrization: When modelers choose to approximate some process using reasonable assumptions and related variables… They’re approximating aggregate effects and using those aggregate approximations in the model. Parametrizations are reasonable and useful approximations.
Key Points:
-Climate modelers make choices about spatial and temporal scales depending on the question of interest.
-Space and time scale together. Smaller spatial scales require shorter time steps.
-Choices about what variables to include in a model, what to explicitly model, and what to parameterize also depend on what questions the modeler seeks to answer.
-Computer power is one of the factors that limits model resolution, complexity, and length of virtual time that can be practically modeled.

Reading

Energy Balance Models:
-As indicated by their name, energy balance models estimate the changes in the climate system from an analysis of the energy budget of the Earth. In their simplest form, they do not include any explicit spatial dimension, providing only globally averaged values for the computed variables. They are thus referred to as zero-dimensional EBMs. The basis for these EBMs was introduced by both Budyko (1969) and Sellers in (1969).
(non specific) fundamental equation:
Changes in heat storage = absorbed solar radiation - emitted terrestrial radiation
           
-In order to take the geographical distribution of temperature at the Earth’s surface into account, zero-dimensional EBMs can be extended to include one (generally the latitude) or two horizontal. In order to represent the net effect of heat input and output associated with horizontal transport.
Intermediate Complexity Models:
-Like EBMs, EMICs involve some simplifications, but they always include a representation of the Earth’s geography, i.e. they provide more than averages over the whole Earth or large boxes. Secondly, they include many more degrees of freedom than EBMs. As a consequence, the parameters of EMICs cannot easily be adjusted to reproduce the observed characteristics of the climate system, as can be done with some simpler models.



 
-Schematic illustration of the structure of the climate model of intermediate complexity MOBIDIC that includes a zonally averaged atmosphere, a 3-basin zonal oceanic model (corresponding to the Atlantic, the Pacific and the Indian Oceans) and simplified ice sheets.







General Circulation Models:
-General circulation models provide the most precise and complex description of the climate system. Currently, their grid resolution is typically of the order of 100 to 200 km. As a consequence, compared to EMICs (which have a grid resolution between 300 km and thousands of kilometres), they provide much more detailed information on a regional scale. A few years ago, GCMs only included a representation of the atmosphere, the land surface, sometimes the ocean circulation, and a very simplified version of the sea ice. Nowadays, GCMs take more and more components into account, and many new models now also include sophisticated models of the sea ice, the carbon cycle, ice sheet dynamics and even atmospheric chemistry
-Because of the large number of processes included and their relatively high resolution, GCM simulations require a large amount of computer time. For instance, an experiment covering one century typically takes several weeks to run on the fastest computers. As computing power increases, longer simulations with a higher resolution become affordable, providing more regional details than the previous generation of models.
 





Image Above: A simplified representation of part of the domain of a general circulation model, illustrating some important components and processes. For clarity, the curvature of the Earth has been amplified, the horizontal and vertical coordinates are not to scale and the number of grid points has been reduced compared to state-of-the-art models.
   
                                                                      5.3 Notes
Learning Goals
By the end of this section, you will be able to:
-Compare model output to observations.
-Describe future temperature forecasts from climate models.
-Use a relatively simple climate model to answer questions about stock and flow of carbon to and from the atmosphere.
-Use a relatively simple model to generate “What if…” scenarios for the future, that keep global surface temperatures below 2°C above preindustrial values.

Video Notes
*Scientists use climate models to prove human involvement with climate stocks by comparing climate models with human activity factored and not factored, and then comparing which model more accurately follows the actual climate observations over time.
Key Points:
-Comparing model outputs to observations helps check how well the models represent Earth’s climate system.   
-Climate models have done pretty well modeling global temperatures.
-In some cases, models have underestimated actual rates of change in the climate system, notably with sea ice and sea level rise.
(underestimates are usually products of incorrect climate theory inputs; in the Hansen 1988 model, the temperature estimates were higher then observations even though carbon emissions were correct, this is because Hansen used a higher climate sensitivity number then what scientists agree upon today.)
-Model projections of future temperatures show high latitudes and land continuing to warm faster than low latitudes and ocean.

Climate Models
Here I played around with two different fairly simple climate models. From the one focused on global temperature increase I learned that if certain factors happen we can reduce our global temperature increase from 4 degrees by 2100 to 2 degrees by 2100. These mitigation factors include: having our carbon emissions peak in 2020, and beginning to reduce carbon emissions by 2% annually. I am not sure how difficult this would be in an ideally cooperative world, unfortunately, I do not believe we have the science or policy in place to collectively do this.

Video Notes:
*Presented by Gavin Schmidt, climatologist from NASA
Why climate models are trusted/important/used so frequently: “If we had observations of the future, we obviously would trust them more than models, but unfortunately…observations of the future are not available at this time.”
Important quote on climate models:
What is the use of having developed a science well enough to make predictions if, in the end, all we’re willing to do is stand around and wait for them to come true.” Sherwood Rowland


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