From Stars to Life. A Data-Driven Journey (Part 2 of the… | by James Gearheart | Sep, 2024

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6 Min Read


Not all planets are created equal — some are too hot, some too cold, and a few are just right. These “Goldilocks” planets sit in the habitable zone around their star, where conditions are perfect for liquid water to exist. Liquid water is crucial because, as far as we know, it’s a key ingredient for life. However, we have to acknowledge that our sample size for life-bearing environments is extremely small — in fact, it’s just one: Earth.

Our understanding of the conditions needed for life is entirely based on carbon-based life forms like the ones we find here. Planets that are too close to their star may be too hot, evaporating away any potential water and suffering from high levels of radiation. On the other hand, planets too far from their star are likely cold, icy worlds where liquid water can’t survive. While we know life thrives in a narrow range of conditions here on Earth, this is guesswork beyond our planet.

For this analysis, we’re focusing only on the kind of life we know — carbon-based organisms that need water, not more exotic ideas like silicon-based life forms or inter-dimensional beings.

Why We Chose This Range

We estimate that life develops on 1% to 25% of habitable planets, with an average around 17%. To reflect the possibility that life might have a higher chance of appearing when the conditions are just right, we use a left-skewed distribution. This means that while life may not always appear, when it does, it has a good shot of thriving.

Let’s jump into the code and see what the simulation tells us.

/*Percent of Habitable Planets where Life Develops*/

data perc_life_develop;
mean_pct = 0.15; /* Mean percentage */
skewness = -6; /* Control the left skewness */
sigma = (log((1 + (skewness ** 2)) ** 0.5)) / skewness; /* Calculate sigma for Lognormal distribution */

/* Generate random values from a left-skewed Lognormal distribution */
do i = 1 to 100000;
u = rand("uniform"); /* Uniform random variable */
perc_life_develop = 0.001 + (0.25 - 0.001) * exp(sigma * rand("lognormal", 0, 1));
output;
end;

format perc_life_develop percent7.4;
run;

After running our simulation, we found that the average percentage of habitable planets where life develops is 17.08%, with values spread between 1% and 25%. Let’s break down what this means for our overall analysis.

Breaking Down the Results

  • “Life Finds a Way”: As Spielberg’s famous quote suggests, our simulation reflects that, when conditions are favorable, life is likely to emerge. With an average of 17.08%, this suggests that nearly 1 in 6 habitable planets could develop life. This is an optimistic outcome, given that the appearance of life requires a multitude of factors aligning perfectly.
  • Distribution Shape and Skewness: The histogram shows a left-skewed distribution. This skewness indicates that while most planets in the simulation had a relatively low probability of developing life, many clustered toward the higher end of the scale, near 20–24%. The positive skew shows us that, when favorable conditions are present, life tends to have a better chance of emerging. In other words, once the right ingredients are there, life finds a way more often than not.
  • Quantiles and Range: The interquartile range (from 13.97% to 21.47%) shows that, in most simulations, the probability of life developing falls within this mid-to-high range. The 95th percentile comes in at 24.24%, which tells us that while the possibility of life is somewhat uncertain, the model predicts life will emerge on a considerable number of habitable planets, given the right conditions.

Why These Results Matter

This is a critical step in the Drake Equation because it sets the tone for how many potential “life-bearing” planets exist. If a significant fraction of habitable planets develop life, then our chances of finding extraterrestrial life rise accordingly.

The higher concentration of probabilities at the upper end of the range suggests that, once conditions are suitable, life is likely to develop. This insight is vital for the subsequent steps because we need life before we can even talk about intelligence or communication technologies.

However, the slight uncertainty at the lower end of the range (1–5%) reminds us that life may not always emerge, even when conditions seem right. This adds nuance to the discussion — some planets may have all the right ingredients but still remain barren.

Impact on the Drake Equation

What does this mean for our broader analysis?

  1. Life is more likely than not: Given the results, it seems reasonable to assume that life will develop on a good portion of habitable planets. This feeds into our overall estimate of how many planets could eventually host intelligent civilizations.
  2. Setting the stage for intelligence: Now that we know life is likely to emerge on about 17% of habitable planets, we can move on to the next big question: how often does that life evolve into something intelligent, capable of building technology and civilizations?

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