# 2-1: Climate System and Climate Predictability

Eugene S. Takle

Introduction

Introduction

We have reviewed the scientific consensus on how the chemistry of the atmosphere is changing. We also have estimated future changes in atmospheric composition. And most recently, we have reviewed calculations of the change in radiative forcing that will result from various policy scenarios on energy generation and regulation of other sources of greenhouse gases. Now we take the next step and translate these changes in radiative forcing into changes in climate of the earth. We first examine what we mean by climate change.

Changing Climate

Changing Climate

In our discussion of climate change we can consider change of three types

• Gradual change of mean temperature, precipitation, etc. (e.g. global warming)
• Changes in climate variability (changes in frequency of floods, droughts, hurricanes, etc.)
• Climate surprises (abrupt changes in climate conditions not seen before in our recorded climate history)
Both the written record of history and the geological record give plenty of evidence that climate has changed many times and in many ways over the surface of the earth, so climate change is not new. Twenty thousand years ago ice several kilometers thick covers parts of the Northern Hemisphere as far south as 40$oN$ (Schneider and Dickinson, 1974: Rev. Geophys and Space Phys., 12, 447-493). About 1,000 years ago, a relatively mild period permitted Viking explorers to travel throughout the region of the North Atlantic. Harsh winters during a "little ice age" in the 1700s wiped out Nordic colonies on Greenland. The 20th century has been one of the mildest on record with temperatures at the end of this century being warmer than anytime in the last 130,000 years. Biblical records describe 7-year cycles of good years and bad years, and archeological evidence points to past civilizations that became extinct, some due to changing climate.

Important changes

Important Climate Change Questions

The real questions, then, are not whether climate of the future will change, because we know it will.

The more important questions are:Examples:
What elements of climate are changing? Is the surface temperature at Alexandria Egypt changing?
Are the number of hurricanes per year in Florida on average different than during some previous time?
Does the rainy season begin at a different time of year now compared to the previous century?
In what direction are they changing? Is the temperature going up or down?
Are there more or less hurricanes than previously?
Does the rainy season in India start earlier or later than in the previous century?
How much are they changing? Is the change in temperature $0.2oC , 2.0oC, or 20oC?$
Are there 1%, 10%, or 100% more hurricanes than the previous period?
Does the rainy season start a day later, a week later, or a month later than in the previous century?
For what reasons are they changing? Has the city grown up around the historical measurement site?
Is the Gulf of Mexico water temperature higher than some previous time?
Have humans somehow perturbed the mechanisms that cause rainfall?
What should we do about it? Nothing
Take collective (political) action to limit emission of greenhouse gases
Let private industry determine when and how to mitigate climate change

In the next several units we will define climate and examine the means by which we can calculate the influence of natural and anthropogenic factors in causing climate change.

Climate

Climate

We begin by defining what we mean by climate. I received an e-mail from a colleague in France and at the bottom of his signature line was the message: "Climate is what we expect and weather is what we get." This says it in a nutshell. Weather is day-to-day values of temperature, rainfall, pressure, winds, etc., and climate is the mean of these variables over some suitably long period of time.

But climate encompasses more than just weather variables. A more general definition of climate is the average behavior of the land, ocean, atmosphere, cryosphere (ice masses), biosphere system over relatively long periods of time. There is not a rigidly defined period for the averaging process, but for many operational applications a 30-year period is used. This definition acknowledges the interactive role of land, water, and ice in determining atmospheric properties. The cryosphere includes the ice masses of Antarctica and Greenland as well as North Polar sea ice and mountain glaciers. Ice masses are very important because their physical dimensions can change, thereby changing the amount of radiation reflected from the surface of the earth. They also are repositories for enormous amounts of H2O, and so their change in volume influences the amount of liquid and gaseous water in the atmosphere and liquid water in the ocean.

time

Time Scales of Change

The difficulty of defining appropriate time scales for the climate system can be better appreciated by considering the residence time of a water molecule in various components of the climate system. If we put some water vapor into the atmosphere and tracked the molecules through the hydrological cycle, we can examine the different time scales. Water molecules remain in the atmosphere for about two weeks, on average, before being precipitated out. If they fall in the ocean, they may remain in the upper layer (top 100 meters) for a couple of months, but if they are by some process moved to the deep ocean they may reside there for thousands of years.

Water molecules that fall as precipitation on land might evaporate within the day or might go into the soil and migrate through the groundwater to a stream or lake and then be re-evaporate after a period of maybe six months to two years. If the water molecule is taken up by a plant, it might stay in the biosphere for the growing season before being returned to the soil or atmosphere. If the atmospheric water molecules are deposited on the Antarctic Ice sheet, they might be locked away for 100,000 years. Clearly, different components of the climate system have different time scales. Those components of the climate system that have very long time scales, such as the Antarctic ice sheet, can be considered as unchanging when we are evaluating changes in atmospheric and oceanic circulation. Others, such as the amount of sea ice in the ocean over the North Pole which has a lifetime of half a year, must be considered as part of the changing component of climate.

In summary, the atmosphere responds quickly to climate changes, but the biosphere, surface ocean, deep ocean and ice masses respond successively slower.

Components of the Climate System

Components of the Climate System

Figure 1 illustrates, in the broadest sense, the various components of the climate system. The physical components of the earth or climate system are given in capital letters: atmosphere, ocean, earth, land, ice-sheets and snow, biomass, and sea-ice, and space. The atmosphere, with its major gases, trace gases, clouds and aerosol, is influenced from space by radiation and from the underlying solid and liquid surface of the earth by a variety of processes.

External and Internal Systems

External and Internal Influences

To better organize the factors that relate to climate, we can define internal influences and external influences of the climate system. External influences, which are illustrated in Figure 1 by arrows crossing the exterior boundary of the domain, are those that do not respond to changes occurring within the climate system we have defined. For instance, fluctuations in solar emission and variations in the earth's orbital parameters are external influences since they do not change if the earth's climate warms or cools. Anthropogenically produced greenhouse gases and dust and changes of albedo of the earth's surface due to human activity are generally considered external influences, although it could be argued that humans are a part of the larger definition of climate.

Internal conditions include such factors as variations in ocean surface temperature, changes in reflectivity of the surface due to seasonal changes in vegetation or snow cover. Ocean water salinity (saltiness) also is internal to the climate system because it depends on the local amount of rainfall (which dilutes the salt content of surface water) or flow of rivers into the ocean. We will see later that, because salt water is more dense than fresh water, salinity is a very important factor in driving ocean circulation. Fresh water from precipitation or melting sea ice tends to float on top of salty water and suppress the mixing to deeper layers.

Chaos and Climate

Chaos and Climate

One final comment on internal influences relates to the concept of chaos. We will see in a later unit that the climate system can be described by a set of time-dependent, coupled, nonlinear, first-order, partial differential equations. Professor Ed Lorenz, meteorologist at MIT, discovered some thirty years ago that systems described by such a set of equations have the property of being "almost intransitive".

"There are extremely simple and also very complicated systems of equations possessing solutions which behave in one manner for an extended period of time, and then change more or less abruptly to another mode of behavior for an equally long time. Such systems have been described as almost intransitive." (Lorenz, 1970)

Solutions to these equations give a set of weather conditions that vary over a confined range of values for an extended period of time and then more or less abruptly change to some other confined range for another (but likely different) extended period. A simple example of this is the dripping water faucet which drips at a steady rate for a period of time, then suddenly, for no apparent reason, drips very rapidly for a short period and then reverts to a slower (but different from the original) rate. The theory describing these systems governed by time-dependent, nonlinear differential equations is called "chaos theory".

The climate system is thought to possibly have such multiple states; that is, the climate (or some components of the climate system) could be stable for a period of time and then abruptly, and for no overtly evident reason, change to another stable regime. There is evidence that certain components of the climate system have done this. The circulation in the north Atlantic Ocean is believed to have gone through an abrupt change in which the Gulf Stream, instead of tracking northeastward off the East Coast of the United States and heading toward Scandinavia, at one time switched very abruptly over about fifty years (that's abrupt on geological time scales) to an easterly direction toward the Mediterranean Sea. This caused an abrupt cooling of the climate in Scandinavia.

In summary, almost-intransitivity is an inherent characteristic of the dynamics of the climate system that may, for seemingly small or unknown reasons, launch some component of the climate system into a pattern not previously seen.

Predicting Future Climates

Predicting Future Climates

Leaving aside the almost-intransitivity property of climate, we now consider what is meant by climate predictability. Recall that we had set out to quantitatively determine the changes to the climate of the earth that will result from changes in future emissions of greenhouse gases. Simply put, we want to estimate the magnitude of future global warming.

An astute observer of weather and weather forecasts might raise the point that since 10-day weather forecasts are essentially useless for planning purposes, it is audacious and absurd for meteorologists to pretend they can predict anything 1 year, much less 50 years, into the future.

Pinball Machine Analogy

Pinball Machine Analogy

To understand the concept of a climate model and to clarify the concept of climate predictions as compared to weather predictions, we consider the "pinball machine analogy".

The accompanying sketch shows the result of many outcomes of dropping balls through the pinball matrix. If the matrix is very large there will be many, many individual paths to the bottom. The exact positions of the pegs determine the distribution of balls at the bottom. A slight change in peg position will have some influence on the distribution of possible paths, with some pegs being more influential than others.

Pinball Climate Simulation.
(Takle, G.S., 1995)

Forecasts

Climate Forecast vs Weather Forecast

A weather forecast for the next several days is analogous to an individual path through the matrix. Each horizontal line of pegs might represent a successive day. If we know from which position (A, B, C, D, or E) the ball started (i.e., if we know the initial conditions for the differential equations describing the atmospheric motions), we will know reasonably well the first part of the trajectory through the matrix but less and less as the ball moves downward. After the ball passes several pegs, our predictability of the actual path is completely lost (the equations are nonlinear and dissipative and include some approximations).

A climate forecast is analogous to the distribution of balls at the bottom of the matrix. If we know the positions of the pegs, the equations that describe (with some uncertainty at each bounce) the trajectory through the matrix, and the number of times each initial condition is used, we can estimate the distribution at the bottom. In this case, an individual trajectory through the matrix does not represent a forecast of day-by-day actual weather, but rather a plausible sequence of daily weather consistent with the known positions of all the pegs.

Initial Conditions and Boundary Conditions

Initial Conditions and Boundary Conditions

Another feature of the climate prediction problem is that if the range of initial conditions (starting points A,...,E) remains limited (limited horizontal distance in the pinball sketch) but the size of the matrix in extended downward (length of the forecast period is increased), then eventually the distribution of final outcomes at the bottom will be essentially independent of how many times the ball started at A, B, C, D, E, or F. We say that the ball forgets its initial conditions or that the outcome is independent of initial conditions and depends only on the positions of the pegs (e.g., the boundary conditions).

A change in greenhouse gas concentration is analogous to changing the positions of one or more pegs. The change this creates in individual trajectories (e.g., weather for a particular year) might not be noticeable, but over a larger number of events (many years) a slight change might become detectable.

Pinball Machine Analogy

A "Model" of Climate

Suppose the real climate system is given by a pinball matrix for which we do not know the exact peg positions or the elasticity of the pegs (how far the ball rebounds after hitting a peg). We will try to understand the real climate system by building a matrix that looks as close to the real matrix as we can make it. We use pegs of material that gives rebounds as close as possible to the real matrix.

The trajectory through a given matrix is described by a single set of equations, so by extension, we say that the set of equations and peg positions is the "model" that describes the behavior of the matrix. This "model" can be used to predict the distribution of balls at the bottom (i.e., the climate). We test how well the model works by comparing its predicted results with outcomes from the real matrix. We might find in making this comparison that we need to adjust some constants or compensate for subtle influences (this is called "tuning the model"). This is analogous to using the climate model to predict the characteristics of the present climate. Once we have it working well for a given set of matrix conditions, we should change the real matrix slightly by moving a few pegs slightly (analogous to finding a different real climate, such as an ice-age climate), make comparable changes in the mathematical conditions in the model, and compare model and real outcomes. This is typically done by studying the climate that existed 15,000 years ago during the last ice age (we will discuss later how we get the observed conditions for comparison with model results).

If these "reality checks" prove successful, we feel confident that we can use the model to predict the effects of changing pegs to some configuration for which there are no observed results. This is analogous to making predictions of the effect of changing the "peg" (e.g., equations or conditions) representing increases of greenhouse gases.

Abrupt Climate Change

Abrupt Climate Change

One of the types of climate change that was listed at the beginning of this unit summary was climate surprises ("abrupt" changes to climate conditions not seen before in our recorded climate history). There is mounting evidence for the occurrence of such events in the past. Steven M. Stanley in the 15 February 2000 issue of the Proceedings of the National Academy of Science surveys 15 recent articles assessing the speed at which major climate change can sweep across the planet, in what could be called "climate surprises."

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