Milankovitch



The Serbian astrophysicist Milutin Milankovitch is best known for developing one of the most significant theories relating Earth motions and long-term climate change. He dedicated his career to developing a mathematical theory of climate based on the seasonal and latitudinal variations of solar radiation received by the Earth. The first of the three Milankovitch Cycles is the Earth's eccentricity. Eccentricity is, simply, the shape of the Earth's orbit around the Sun. This constantly fluctuating, orbital shape ranges between more and less elliptical (0 to 5% ellipticity) on a cycle of about 100,000 years. The first of the three Milankovitch Cycles is the Earth's eccentricity. Eccentricity is, simply, the shape of the Earth's orbit around the Sun. This constantly fluctuating, orbital shape ranges between more and less elliptical (0 to 5% ellipticity) on a cycle of about 100,000 years. An overview of the Milankovitch (or astronomical) ice age theory appears in the May 2020 issue of Physics Today. 1 This theory (hypothesis, really) holds that Earth’s rotational and orbital motions influence Earth’s climate over long ages, pacing the timing of ice ages.

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Milankovitch cycles are classically divided into the precession, the obliquity, and the eccentricity cycles. These cycles modulate the solar insolation (i.e., the total energy the planet receives from the sun at the top of the atmosphere) or its geographic distribution.

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Milankovitch cycles describe the changes in the way the earth orbits the sun. These changes define the sequence of ice ages and warm periods.

Milankovitch Theory

Introduction to Milankovitch Cycles

The concept of the Milankovich cycles was developed in the 1930s by the Serbian mathematician Milutin Milankovitch. They take account of three variations in the orbit of the earth around the sun.
  1. The earth’s orbit changes from being nearly circular to slightly elliptical (eccentricity). This cycle is affected by other planets in the solar system and has a period of around 100,000 years.
  2. The angle of tilt of the earth’s axis changes from 22.1° to 24.5° (obliquity). This cycle has a period of 41,000 years.
  3. The direction of the tilt of the axis changes (precession) on a cycle of 26,000 years.
These changes influence the length of the seasons and the amount of solar radiation received by the earth. It is generally considered that the radiation received during July at a latitude of 65°N is the most sensitive indicator. Figure 1 shows the variation in radiation at 65° N in July, at 65° N averaged over a whole year and over the whole globe. In the latter case the values were cosine weighted to allow for the fact the bands of latitude cover a smaller area the further one is from the equator. As can be seen the variations in radiation are very different in the three cases; an amplitude of 24% for July at 65°N, an amplitude of 13% for the whole year at 65°N and an amplitude of 0.7% for the whole earth annual radiation.
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Figure 1: Insolation - Different Periods and Areas

Milankovitch and Temperature

Figure 2 shows the Milankovich cycles and temperature estimated from the Vostok ice core. In this case the timing of the temperature changes was “tuned” to the Milankovitch cycles; that is, to compensate for uncertainties in the depth/age relationship of the ice core, small adjustments were made to the timing of the temperature to agree with the cycles. As can be seen there is good agreement between the timing of the Milankovitch cycles and the timing of temperature changes. In general, though not always, there is agreement between the amplitude of radiation from Milankovitch cycles and the temperature changes.
Figure 2: Milankovitch Cycles and Temperature from the Vostok Ice Core
MilankovitchMilankovitch
In this section, Figure 1 shows that global changes in radiance due to the Milankovitch cycles are proportionality smaller than the changes at 65 ºN in July. The figure of 0.7%, for global radiation change, given above, is in fact a bit misleading as it refers to the difference between the highest maximum and the lowest minimum in the last 800,000 years. Figure 3 shows only the whole year-whole earth variation in total solar radiance due to Milankovitch cycles. It can be seen that for many cycles the change between a maximum and a minimum is much less that 0.7 %. The last Milankovitch cycle, which had a minimum about 50,000 years ago and a maximum about 20,000 years ago is one of the most interesting. The minimum is 340.545 W m-2 and the maximum is 304.780 W m-2, a difference of 0.07% which is an order of magnitude less that the overall range. What makes this cycle so interesting is that while the change in global radiation was so small, the change at 65 ºN in July was enough to take us out of the last age into the current warm interglacial.
Figure 3: Milankovitch Cycles - Insolation (whole earth and whole year)

Possible Explanations of Milankovitch Effect

Whilst it is generally accepted that Milankovitch cycles explain the sequences of warm and ice ages there is no agreement on the mechanism by which this happens. One possible explanation might be that at these latitudes there is a higher proportion of land - which heats up more rapidly than sea - than elsewhere. Figure 4, prepared by digitising a Mollweide equal-area projection map of the earth, shows the percentage of land in the different latitude bands.
Figure 4: Percentage of the Earth's Area in Latitude bands
This is also the part of the earth where boreal (northern) forests predominate. Such forests of mainly pine tree, make up from 10% to 15% of the earth’s surface and have a wide difference in albedo (reflectance or incoming radiation). Figure 5 represents the difference in albedo between the maximum and minimum over a 4 year period. As can be seen the difference in albedo peaks toward 65°N. It is not possible to continue the graph beyond the limits shown as they are not visible to the satellite used for the measurement for the whole year.

In the last few months, a number of questions have come in asking if NASA has attributed Earth’s recent warming to changes in how Earth moves through space around the Sun: a series of orbital motions known as Milankovitch cycles.

What cycles, you ask?

Milankovitch cycles include the shape of Earth’s orbit (its eccentricity), the angle that Earth’s axis is tilted with respect to Earth’s orbital plane (its obliquity), and the direction that Earth’s spin axis is pointed (its precession). These cycles affect the amount of sunlight and therefore, energy, that Earth absorbs from the Sun. They provide a strong framework for understanding long-term changes in Earth’s climate, including the beginning and end of Ice Ages throughout Earth’s history. (You can learn more about Milankovitch cycles and the roles they play in Earth’s climate here).

But Milankovitch cycles can’t explain all climate change that’s occurred over the past 2.5 million years or so. And more importantly, they cannot account for thecurrent period of rapid warming Earth has experienced since the pre-Industrial period (the period between 1850 and 1900), and particularly since the mid-20th Century. Scientists are confident Earth’s recent warming is primarily due to human activities — specifically, the direct input of carbon dioxide into Earth’s atmosphere from burning fossil fuels.

So how do we know Milankovitch cycles aren’t to blame?

Milutin Milankovitch

First, Milankovitch cycles operate on long time scales, ranging from tens of thousands to hundreds of thousands of years. In contrast, Earth’s current warming has taken place over time scales of decades to centuries. Over the last 150 years, Milankovitch cycles have not changed the amount of solar energy absorbed by Earth very much. In fact, NASA satellite observations show that over the last 40 years, solar radiation has actually decreased somewhat.

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Second, Milankovitch cycles are just one factor that may contribute to climate change, both past and present. Even for Ice Age cycles, changes in the extent of ice sheets and atmospheric carbon dioxide have played important roles in driving the degree of temperature fluctuations over the last several million years.

The extent of ice sheets, for example, affects how much of the Sun’s incoming energy is reflected back to space, and in turn, Earth’s temperature.

Then there’s carbon dioxide. During past glacial cycles, the concentration of carbon dioxide in our atmosphere fluctuated from about 180 parts per million (ppm) to 280 ppm as part of Milankovitch cycle-driven changes to Earth’s climate. These fluctuations provided an important feedback to the total change in Earth’s climate that took place during those cycles.

Milankovitch Hypothesis

Today, however, it’s the direct input of carbon dioxide into the atmosphere from burning fossil fuels that’s responsible for changing Earth’s atmospheric composition over the last century, rather than climate feedbacks from the ocean or land caused by Milankovitch cycles.

Since the beginning of the Industrial Age, the concentration of carbon dioxide in Earth’s atmosphere has increased 47 percent, from about 280 ppm to 412 ppm. In just the past 20 years alone, carbon dioxide is up 11 percent.

Scientists know with a high degree of certainty this carbon dioxide is primarily due to human activities because carbon produced by burning fossil fuels leaves a distinct “fingerprint” that instruments can measure. Over this same time period, Earth’s global average temperature has increased by about 1 degree Celsius (1.8 degrees Fahrenheit), and is currently increasing at a rate of 0.2 degrees Celsius (0.36 degrees Fahrenheit) every decade. At that rate, Earth is expected to warm another half a degree Celsius (almost a degree Fahrenheit) as soon as 2030 and very likely by 2040.

This relatively rapid warming of our climate due to human activities is happening in addition to the very slow changes to climate caused by Milankovitch cycles. Climate models indicate any forcing of Earth’s climate due to Milankovitch cycles is overwhelmed when human activities cause the concentration of carbon dioxide in Earth’s atmosphere to exceed about 350 ppm.

Scientists know of no natural changes to the equilibrium between the amount of solar radiation absorbed by Earth and the amount of energy radiated back to space that can account for such a rapid period of global warming. The amount of incoming solar radiation has increased only slightly over the past century and is therefore not a driver of Earth’s current climate warming.

Since 1750, the warming driven by greenhouse gases coming from the human burning of fossil fuels is over 50 times greater than the slight extra warming coming from the Sun itself over that same time interval. If Earth’s current warming was due to the Sun, scientists say we should expect temperatures in both the lower atmosphere (troposphere) and the next layer of the atmosphere, the stratosphere, to warm. Instead, observations from balloons and satellites show Earth’s surface and lower atmosphere have warmed but the stratosphere has cooled.

Milankovitch Cycles Pdf

Finally, Earth is currently in an interglacial period (a period of milder climate between Ice Ages). If there were no human influences on climate, scientists say Earth’s current orbital positions within the Milankovitch cycles predict our planet should be cooling, not warming, continuing a long-term cooling trend that began 6,000 years ago.

There’s nothing cool about that.