Author: tompepinsky

  • Academic Writing and AI: A Reader’s Policy

    Academic Writing and AI: A Reader’s Policy

    There are countless pieces circulating these days about whether and how to use Artificial Intelligence for academic writing. Here are two recent examples; there are many more.

    Regardless of what you think about these pieces, I find it interesting that they pose the problem from the author’s perspective. But writing is a form of communication: there is a sender and a receiver, an author and (at least one) reader. Allison Stranger’s “Who Cares Whether Academics Use AI to Write?” clearly imposes a restriction on how readers should read: we should judge analytical writing by its quality, not its source. I think this is a mistake, and misunderstands the very nature of academic writing.

    I do not use AI for academic writing, but I still have a position on others’ use of AI for academic writing, because I am also a reader. To clarify my thinking and articulate my own position, I have written a short note explaining my policy on AI use in academic writing, but posing the problem from a reader’s perspective. Hence the title: Academic Writing and AI: A Reader’s Policy (pdf).

    This short note is addressed to writers, but from the perspective of a reader, on the hypothesis that anyone who takes academic writing seriously will take into account what a reader expects. The note summarizes my own policy on AI-generated prose for academic writing, and others may hold different views—especially for those working outside of the human sciences. But I suspect that my views are widely held, even if they have not yet been articulated this way.

  • The Modal Number of Citations to a Political Science Article is Zero

    The Modal Number of Citations to a Political Science Article is Zero

    When I was a first-year PhD student, many years ago, a respected professor told a class of my fellow PhD students that the modal number of citations to a political science article is zero. At the time, this was a shocking statement. You mean, all of the effort we put into publishing our articles… and we can expect that they will be cited by no one? Our work will have such little impact that no one at all will deem it worthy of a reference?

    At the time, I found this very discouraging. My classmates and I agreed. There was something ominous about this statement, the idea that our work would count for nothing and leave no mark on the discipline or the world around us. It also implies that those few authors whose work is getting cited are unusual, and special. It enforced feelings of deference towards the more successful authors around us, and disdain for those whose work we could expect would not last. We could expect to be not even citable.

    After a couple of years and a couple of publications, though, I started to rethink this claim. I don’t have any articles that have zero citations. Some articles get lots of citations, but every article gets at least a couple dozen, right? There was no way to know for sure, but I had the sense that the claim was absurd. The modal number of citations for a political science article is zero? Come on, now. Less than 10 I would believe, but no possible way that it is zero.

    I put these thoughts aside for a couple of decades, but recently I came across that old saw again. I have since learned that it is an academic urban legend. I have also learned that others—most notable David Samuels, in a 2011 PS article—have debunked this claim using data. But still the claim persists as an urban legend, and a particularly cruel one at that, dismissive as it is of the potential contributions and impact of early career scholars looking for their first publications.

    The Samuels piece encouraged me to think more deeply about the problem, and to look for data. Happily, OpenAlex makes it easy to analyze article citation data. We can update the Samuels analysis for a new era using much better data that incorporate books as well as articles.

    With the assistance of Claude to interface with the OpenAlex API, I pulled citation data from 40 political science journals from 2000-2025. These journals come from across the subfields. See here, sorted alphabetically by abbreviation:

    AJPSAmerican Journal of Political Science
    APSRAmerican Political Science Review
    ARPSAnnual Review of Political Science
    BJPSBritish Journal of Political Science
    CONSTConstellations
    CPComparative Politics
    CPSComparative Political Studies
    CPTContemporary Political Theory
    EIAEthics & International Affairs
    EJIREuropean Journal of International Relations
    EJPTEuropean Journal of Political Theory
    ESElectoral Studies
    ETHEthics
    HPTHistory of Political Thought
    IOInternational Organization
    ISInternational Security
    ISQInternational Studies Quarterly
    JCRJournal of Conflict Resolution
    JoDJournal of Democracy
    JOPJournal of Politics
    JPARTJournal of Public Administration Research and Theory
    JPPJournal of Political Philosophy
    JPRJournal of Peace Research
    LSQLegislative Studies Quarterly
    PAPolitical Analysis
    PBPolitical Behavior
    PCPolitical Communication
    POLPolity
    PoPPerspectives on Politics
    POQPublic Opinion Quarterly
    PPAPhilosophy & Public Affairs
    PPEPolitics, Philosophy & Economics
    PRQPolitical Research Quarterly
    PSQPolitical Science Quarterly
    PSRMPolitical Science Research and Methods
    PTPolitical Theory
    RIPEReview of International Political Economy
    RISReview of International Studies
    RoPReview of Politics
    WPWorld Politics

    There are good reasons to think that OpenAlex data undercounts citations, and it probably is worse for citations from books than from journals (and we all know that book citations count). But let’s proceed anyway.

    First, I’ll look at how many times articles are cited. I’ll plot the median number of citations, alongside the 10th-90th and 25th-75th percentiles, by journal (facets) and publication year (x-axis). Facets are sorted by the total number of citations in that journal. I also exclude any short article that is less than 5 pages long in order to remove comments, book reviews, and other such material. Here is what we get:

    However you slice it, and regardless of political science subfield, most papers are cited more than zero times! (There is something funky about the ARPS data, but it doesn’t matter for these purposes.) Total citations decline over time, but that is because recent articles have less time to collect citations.

    The message is, if you publish in any of these journals, you can expect that your articles will be cited more than zero times. Phew. You are unlikely to be publishing articles that earn zero engagement.

    So much for that urban legend that the modal number of citations for a political science article is zero, right? So, because we are curious, what is the modal number of citations in these data? Let’s calculate it:

    Modes <- function(x) {

    ux <- unique(x)

    tab <- tabulate(match(x, ux))

    ux[tab == max(tab)]

    }

    Modes(cites$cited_by_count)
    [1] 0

    Wait. What happened?

    As it turns out, that old saw is annoyingly precise. It does not say that the average article gets zero cites, nor does it say the median article gets zero cites. It says that the modal article gets zero cites.

    The mode of a variable is, roughly, the most common value of that variable. For continuous data, a mode is a local maximum. For discrete data, a mode is the most frequently observed value of that variable. If I take a sample from a normal distribution, the mode will be near the mean of that distribution. If I have 10 pieces of fruit, and 7 of them are apples, then the modal piece of fruit is an apple. If I have 100 pieces of fruit, and all of them are different except for that I have two durians, then the modal piece of fruit is a durian.

    The trick is, citation counts are count variables: sorta like continuous variables, but technically discrete. The number of citations that an article has is a positive integer: it is 0, 1, 2… There is no article that has -2 citations, and no article that has 8.5 citations. It is common for the distribution of a count variable to have a mode of zero, as in the Poisson distribution, even if their mean and median are much higher than zero.

    If you treat the modal number of citations to a political science article is zero literally, this statement is not asking what is the average number of citations, or the expected number of citations. It is, what is the number of citations that is the most common number? As it turns out, that number is indeed zero.

    The plots below are histograms of citation counts, showing the frequency of each observed citation count for all articles.* As you can see, the most common unique number of citations for any article actually is zero (i.e., log 1). There are many, many more articles that have greater than zero citations; to visualize them all, we need logarithmic scales. But importantly, the modal number of citations is zero even if you are looking that articles that are more than 15 years old. It really is an accurate statement.

    The reason why it is surprising is that in natural language, we don’t really interpret the modal number so literally. We interpret it as something like an expectation of a continuous variable, rather than the typical value of a discrete variable that has an infinite number of possible values. Because citation counts are numeric, you can calculate summary statistics:

    summary(cites$cited_by_count)
    Min. 1st Qu. Median Mean 3rd Qu. Max.
    0.00 7.00 26.00 70.98 73.00 8123.00

    This shows us that at least 75% of all articles have 7 or more citations, and that the median number of citations is 26: half of articles have more, half have less.

    One way to see how the mode of a count variable is weird is to “bin” the citation data: 0, 1-10, 11-20… instead of 0, 1, 2… If we do that, the data look a lot more reasonable:

    So it really is true that the modal number of citations to an article is zero, but this isn’t really that significant. There are more articles with exactly zero citations than there are articles with exactly 21 or exactly 640 or exactly 7234 citations. But we don’t really care about those comparisons, and we should not treat them as discouraging. The modal number of citations to a political science article is zero is true, but most political science articles have more than zero citations is also true.