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# 19.14 The Drake Equation

The search for extraterrestrial intelligence has often been regarded as non-scientific. After all, there are dozens of hypotheses about intelligent life in the universe, but no testable theories to back them up. Nor is there a single shred of empirical evidence on which to base any of our speculations. It wasn't until the 1960s that the search gained official recognition by the scientific community. Prior to this time, any supposition about the prospects of establishing contact with other worlds was far from achieving scientific respectability. However, in November of 1960, a group of well-known scientists held the first conference to discuss such prospects. Convened under the auspices of the National Academy of Sciences, the subject of the meeting was so risqué that there were no announcements made about the conference, nor any official publications following the meeting. In fact, the meeting consisted of only ten people. The attendees called themselves "The Order of the Dolphins", partially in jest and partially in celebration of a recent publication by one of the conference invites, John Lilly, who had just published a controversial work declaring dolphins as an intelligent species.

One of the members of this first conference about the search for extraterrestrial
intelligent life was Frank Drake. Drake was a very young researcher who, just two years prior, had conducted the first modest, radio search for intelligent signals from planets surrounding two nearby stars. Even before the conference, Drake had been thinking about the complexities of predicting whether or not intelligent civilizations exist beyond our own, and how to communicate with these civilizations. Prior to giving a talk at the conference, Drake tried to organize his thoughts about the conference and to focus them on the topic of intelligent life in the universe. In his efforts, he created an organizational tool. He had no idea that his tool, now famously known as the Drake equation, would become a cornerstone for SETI theorists for years to come.

Drake postulated that the number of intelligent, communicating civilizations in our own Milky Way Galaxy could be reduced to the product of seven simple variables. He expressed them in the following equation:

N = R × fp × ne × fl × fi × fc × L

For over fifty years,
the Drake~equation has been used as the framework for the discussion of intelligent life in the universe. In this equation, N stands for the number of planets in the Milky Way Galaxy hosting a civilization that is intelligent enough to communicate through the distances of space. To get an answer for N, you simply need to multiply seven different factors together. The letter R is the average rate of star formation. The factor fp is the fraction of stars in the galaxy that have planets around them. The factor ne is the average number of planets around each of those stars that have conditions favorable for life to exist. The factor fl is the fraction of the planets with favorable conditions for life that actually do develop life. The factor fi is the fraction of planets that developed life where that life evolves to be intelligent. The factor fc is the fraction of those intelligent species that develop the ability for interstellar communication. Finally, L is the average lifetime of such civilizations, how long an intelligent civilization lasts in a communicating phase on average.

As you can see, these factors range from those that are based on our knowledge
of astronomy to those relying on our knowledge of how hypothetical alien societies work. Each of these seven factors has a range of possible values that we can estimate. However, we should be careful to note that any estimations we make are based on our knowledge of all the intelligent civilizations we know about in the galaxy, just one, our own. It is also important to remember that our estimates of N only predict the number of intelligent, communicable civilizations within our own galaxy. There are about 100 billion galaxies in the observable universe, and even if they are too far away for plausible communication, the cosmic value of N has to be multiplied by 100 billion.

How would one even go about filling in
the  Drake~equation with actual numbers? Well, it turns out some of the factors we understand fairly well. For example, there are about 40 billion Sun-like stars in our galaxy, and the age of the galaxy is about 10 billion years. If you divide 40 billion by 10 billion, you arrive at a number for R of about 4 stars per year. NASA and ESA researchers have refined this rough calculation into an estimate that R is about 7. Regardless, the first factor in the Drake~equation is the only one that we know with much accuracy.

The next two factors, the fraction of stars with planets and the number of Earth-like or habitable planets, are still uncertain. They are, however, the subject of one of the most intensive research efforts in the history of astronomy. So far, we have mostly detected Neptune-sized planets or larger around other stars, but Earth-sized planets are being found in the Kepler data. Results from Kepler indicate that at least 30% of nearby stars with sufficient heavy elements contain planets, but it is still not well defined what constitutes the lowest needed amount of heavy atoms. Also, both Doppler
and transit surveys have selection effects that limit the census. Micro lensing, which is sensitive to extra solar planets from Jupiter mass to less than Earth mass, finds one or more bound planets per Milky Way star, suggesting that fp = 1.

The number of habitable planets in each system is also highly uncertain. We lean on our assumption of mediocrity and hope that our Solar System is ordinary and typical of other planetary systems. Our Solar System has a habitable zone — a distance from
the star where surface water can exist — that includes Venus, Earth, and Mars. The fact that two out of three of those planets no longer have surface water tells us that atmospheric conditions play a role in planet habitability as well. The factor ne must consider the fact that many low-luminosity stars have tiny habitable zones. In addition, what if we consider habitable "worlds" like Europa or Titan that are outside the habitable zone? Then for our Solar System, this number could be as high as 5 or as low as 1. Data from Kepler, published in 2013, gives an estimate for the product fp × ne = 0.4. Including the first term, the product of the first three factors of the Drake equation is 3.

After this, it gets uncertain. We really only have one example of how life evolves, life on Earth. Many scientists believe that life started quickly as soon as there was a suitable site with favorable conditions. If this were the case, then the value for fl could be close to unity. On the other hand, if life arises as a random and improbable outcome of chemical evolution, fl could be a really small number. Right now, we don't have solid evidence to allow us to make a decision between these two possibilities. However, if life, past or present, is discovered on Mars, Europa, or Titan, it would be evidence in support of the idea that fl = 1.

The last three factors of the Drake equation are hopelessly uncertain. We do not know if intelligence is a natural or necessary consequence of biological evolution. We have no idea how likely it is that life will develop technology and the ability to communicate into space. In the absence of any evidence, logical arguments can't be made for high and low values of fi and fc. We are equally in the dark as to how long such a capability will endure. On Earth, L only equals 50 years so far.

Scientists to this day argue about pessimistic and optimistic estimates for the factors in the Drake Equation. You could come up with your own, if you wanted to. The product of a set of numverical factors is as uncertain as the most uncertain factor. So our increasing confidence that we can measure the first three factors does us no good. In reality, the various factors may be independent, in which case a low value for one factor does not necessarily imply a low value for the others. Since several of the factors are completely unknown, we must conclude that N cannot be determined.