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Periodic Impact Events: A Critique

One of the more intriguing issues for the Wide-field Infrared Survey Explorer (WISE) satellite is the question of nearby objects that might be causing problems with the Oort Cloud. Specifically, we’re interested in learning whether an object like the hypothesized ‘Nemesis’ — a tiny companion star to the Sun — or a closer gas giant (‘Tyche’) — might cause disruption to cometary orbits that would create episodes in which more comets than usual make their way into the inner Solar System. Find such an object and you may be able to explain what some have been arguing, that there are periodic variations in the timing of giant impacts, a regular and revealing pattern.

Of course, periodic changes in the frequency of impacts could be caused by something other than a companion star or unknown planet. Another suggested mechanism is the motion of our Solar System through the main plane of the Milky Way, causing the gravitational influence of nearby stars to tug on Oort Cloud comets on a repeated basis. In both cases, we’re wondering whether the age estimates for various craters shows us a pattern, something that tells of impact cycles varying between 13 and 50 million years depending on which theory you look at. Earth would have long periods with few impacts and then a wave of increased impact activity.

Image: Barringer Crater, also known as Meteor Crater, in Arizona. This crater was formed around 50,000 years ago by the impact of a nickel-iron meteorite. Near the top of the image, the visitors center, complete with tour buses on the parking lot, provides a sense of scale. Credit: National Map Seamless Viewer/US Geological Service.

Enter Coryn Bailer-Jones (Max-Planck-Institut für Astronomie), whose new work in Monthly Notices of the Royal Astronomical Society argues that perceived periodic patterns in impact activity are nothing more than a statistical artifact. In other words, the idea that there is an ebb and flow to cometary strikes is not actually found in the data. This does not mean the situation is static. Bailer-Jones says there may be a slight increase in impact events over the past 250 million years under this scenario, but a long-term pattern of periodic variability does not appear in his analysis.

He goes on to argue that the evidence for disruptions of the Oort Cloud relies on a problem with traditional statistical reasoning, saying “There is a tendency for people to find patterns in nature that do not exist. Unfortunately, in certain situations traditional statistics plays to that particular weakness.” The problem, explored in this MPIA news release, is that those studying periodicities in impact crater data have to take into account whether the periodicity they are testing against was derived from their data in the first place or posited independent of observation. If the latter, the argument can be flawed because a bias has been introduced from the outset. That bias operates against the ‘null hypothesis’ against which the periodicities would be measured.

The alternative chosen by Bailer-Jones is to work on the problem through Bayesian statistics, an approach that begins with multiple hypotheses and uses the data to adjust the probabilities for each. I am no statistician, and my hope is that some of the more mathematically inclined of our readers will have a go at the paper to tell me how sound Bailer-Jones’ conclusions are. In any case, the point is that in all the data sets, periodic variation in cratering is disfavored, and the author argues that the craters we see on Earth do not suggest regular waves of impact events:

“From the crater record there is no evidence for Nemesis. What remains is the intriguing question of whether or not impacts have become ever more frequent over the past 250 million years.”

The latter issue is interesting because such an increase in impact rates would, in Bailer-Jones view, make the usual null hypothesis assuming constant impact probability invalid, thus calling into question any study that finds a periodic change in impact events. So instead of periodic variations in impacts, we’re looking at a trend within the past 250 million years of a steady increase in such events. This may in turn be explained by the fact that smaller craters erode more easily, and older craters have more time to erode away. In other words, larger and younger craters are easier to find than smaller, older ones. The question of whether the increase in impact activity is real, then, may have to be resolved by looking at impact craters on the Moon, where there are no natural processes at work that can lead to craters being filled and eroded.

Image: The Nördlinger Ries, or Ries, was formed when a meteor hit the area 15 million years ago. The resulting crater, roughly 20 km in diameter, has since been filled in and eroded. In this natural-colour satellite image, it can just be made out as a circular structure, much less clearly defined than the Barringer Crater, which is significantly younger. Credit: NASA/J. Allen using data provided courtesy of NASA/GSFC/METI/ERSDAC/JAROS, and U.S./Japan ASTER Science Team.

WISE data should eventually give us the definitive word on large objects in nearby space. Until then, Bailer-Jones’ work is, “Bayesian time series analysis of terrestrial impact cratering,” Monthly Notices of the Royal Astronomical Society, published early online 27 June, 2011 (abstract).

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Comments on this entry are closed.

  • Alex Tolley August 3, 2011, 11:18

    “The question of whether the increase in impact activity is real, then, may have to be resolved by looking at impact craters on the Moon”

    I’m rather stunned that this isn’t the data used, but the much more fragile terrestrial data. The Moon, Mars and Mercury would surely be far more useful candidates for this analysis.

    The author uses impact craters themselves, but why not use proxy data, e.g. iridium concentration or impact spherules of impacts in rock strata? If there are periodicities, then this might be clearer from the pattern of spikes in the data.

  • Astronist August 3, 2011, 19:29

    I’m astonished by your photo of Barringer crater. First time I’ve seen a photo of it from this angle — and it’s square! A square crater! Is this the first square crater that’s been observed in the Solar System?

  • David S. F. Portree August 3, 2011, 23:01

    Astronist:

    The Meteor Crater image is actually not as good as some I have in the archives I manage for the USGS Astrogeology Science Center in Flagstaff. As you might expect, we spent a lot of time and effort on MC and, even today, maintain the world’s largest collection of MC drill cores. The crater is best described as polygonal, not square. Apparently the shape has something to do with the fault structures already present in the terrain at the time of the crater’s formation. Incidentally, the favorite theory for the crater’s formation – attributable to David Kring – is that the iron-nickel body exploded several thousand feet up and the shockwave blasted out the crater. This accounts for the utter lack of a buried impactor and the wide distribution of iron-nickel fragments scattered over the surrounding landscape (most of which were picked up by collectors long ago).

    David

  • David S. F. Portree August 3, 2011, 23:12

    Almost forgot, I wanted to add that I’ve recently been digging through the papers of impact expert David Roddy. In them, I discovered that there is another crater, called Steinheim, to the southwest of Ries. Compared with Ries, it’s tiny – four of five kilometers across. The town of Steinheim am Albuch fills about a quarter of the crater – most of the remainder is farm fields. There’s a 50-meter-high central uplift, too, which is a bit surprising for so small a crater. Atop the uplift appears to be where the town started, though I’m not certain of that. It would make sense, since a hill would offer a defensible position.

    David

  • Ron S August 4, 2011, 10:42

    From what I understand of impacts (not much!) is that the Moon would be a poor analog to estimate distribution of Earth impactors over time and size since there are no “bursting” craters (and non-craters) on the Moon since there is no atmosphere. That is, on Earth a large proportion of impactors either create no crater at all or produce one by a very different mechanism than is seen on atmosphere-less bodies.

    Regarding Steinhem am Albuch, that brings back memories of my travels here and there in Europe. It seemed that every exposed hilltop had either a medieval fortified town or castle ruins atop it. Of course these aren’t all crater central peaks! Europe was simply a very nervous place a few centuries ago (and more recently).

  • David S. F. Portree August 5, 2011, 9:35

    Ron S:

    I’ve seen some of those hilltop castles in Europe, too. I wasn’t claiming that all were atop impact crater central peaks! I’m not even claiming that Steinheim am Albuch got its start on its crater’s central uplift, though the map I have suggests that to be the case. The map doesn’t show a castle, but it appears that the old part of town and some religious buildings are up there.

    Anyway, it’s a cool little crater that probably would have been a bigger deal if it weren’t so close to Ries.

    David

  • Ron S August 5, 2011, 15:11

    David, perhaps I wasn’t clear but I was not implying that you made that claim. Your observation simply brought back some interesting memories.

  • Rob Henry August 6, 2011, 20:12

    I was wondering about the wonderful suggestion of Alex Tolley of just measuring how iridium concentration alters in sediment with time, and then I remembered that deciding how sedimentation rates altered over time has always been paleontology’s nightmare. If anyone can ever find a fix it would answer an incredible number of problems. I finally decided that I should ask: does anyone out there have a clue to the solution?