On 2018-01-16 09:26, Dr. Thomas Möbius wrote:
\definestartstop
    [abstract]
    [style=bold,
    after={\blank[big]}]

\starttext
\title{My title: example of a word and character count}

{\strut\tfx Formal guidelines: word count of abstract: $x$, character
count of main text: $x$, character count of figure captions: $x$.}
\blank

\startabstract
This is the abstract. Read this and that.
\stopabstract

% start of the main text
Some random text with formulas

\startformula
y = α + βx + ε, \quad ε \sim N(0,σ^2)
\stopformula

And there are also figures with captions.

\startplacefigure[
    location=bottom,
    title={Residual plot with time $t$ on the x-axis and
    residuals $e_{jt}$ on the y-axis},
    reference={fig:subject-residual}]
\externalfigure[residuals][height=.242\textheight]
\stopplacefigure

And some more text with $x$ and $y$ and $z$, and \placeformula

\startformula \startalign
\NC a =\NC b \NR
\NC c =\NC d \NR
\stopalign \stopformula

And stop.
\stoptext

Try something based on this:

   \startluacode
        userdata = userdata or { }

        function userdata.wordcount(listname)
            filename = file.addsuffix(tex.jobname,"words")
            if lfs.isfile(filename) then
                local w = dofile(filename)
                if w then
                    if type(w.categories[listname]) == "table" then
                        context(w.categories[listname].total)
                    else
                        context(w.total)
                    end
                    context.par()
                end
            end
        end
   \stopluacode
   \def\wordcount{%
        \dosingleempty\dowordcount}
   \def\dowordcount[#1]{%
        \ctxlua{userdata.wordcount("#1")}}
   \setupspellchecking[state=start,method=2]
   \ctxlua{languages.words.threshold=1}

   \definestartstop
        [abstract]
        [style=bold,
        after={\blank[big]}]

   \starttext

        \setupspellchecking[list=abstract]

        \startabstract
            This is the abstract. Read this and that.
        \stopabstract

        \setupspellchecking[list=main]

        Some random text with formulas

        \startformula
            y = α + βx + ε, \quad ε \sim N(0,σ^2)
        \stopformula

        And there are also figures with captions.

        \setupspellchecking[list=figures]

        \startplacefigure[
          location=bottom,
          title={Residual plot with time $t$ on the x-axis and
          residuals $e_{jt}$ on the y-axis},
          reference={fig:subject-residual}]
              \externalfigure[residuals][height=.242\textheight]
        \stopplacefigure

        \setupspellchecking[list=main]

        And some more text with $x$ and $y$ and $z$, and \placeformula

        \startformula \startalign
            \NC a =\NC b \NR
            \NC c =\NC d \NR
        \stopalign \stopformula

        And stop.

        \setupspellchecking[state=stop]

   \title{My title: example of a word and character count}

            Abstract: \wordcount[abstract]
            Main: \wordcount[main]
            Figures: \wordcount[figures]
            Wordcount: \wordcount

   \stoptext

--
Rik

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