Thanks Stevan. Unfortunately that does not answer the question I posed, but a
different question which is not relevant in the research being undertaken to see
the adoption of OA practices amongst researchers, as opposed to the application
of OA to articles which you have ably handled.

 

As you have recognized, it only needs one author of a multi-author article to
make the whole paper OA; however as we approach 100%, single-author articles
will require that sole author to make his or her paper OA. (The question is
irrelevant to Gold OA because all authors jointly agree to make the article OA,
once.) It would be an interesting study to see amongst Green OA, whether the
rate of making articles OA improves as the number of authors does. Hypothesis A:
it will, but not linearly. Secondly one could look at the number of times an
article is OA (ie the number of OA copies there are on the Internet). Hypothesis
B: this measure should increase with the number of authors, though probably not
linearly. Zipf’s law is more likely in these cases as earlier-listed authors 
are
probably the more likely to take OA action. Is your crawled data capable of
being re-interpreted this way?

 

I propose to do the following:

 

(1)   Estimate the total number of papers P published per year y, Py

(2)   Estimate the average number of authors per paper for this corpus, m.

(3)   Compute m x Py = N, an estimate of the number of active researchers.

 

The expected errors in N are:

·       The value of Py is not certain – neither ISI nor Scopus are 
complete.
This leads to an under-estimate.

·       Not all researchers publish every year. This means that the 
number of
researchers is again under-estimated.

·       Some researchers publish more than once per year. This is
double-counting and results in an over-estimate. ISI or Scopus may be able to
provide disambiguated estimates from their databases.

·       Unfortunately aggregating the number of years causes both the 
above
errors to change – the first reducing, the second increasing. I have seen
statements to the effect that an active researcher publishes at least once every
three years, so the effective limit is 3 successive years.

 

Still, the information will be interesting and perhaps useful.  It may be 
useful
to do a pilot study in a single institution. Australian universities have
complete citation databases of their publications, so it may be possible to
check this type of data for a single institution. If it is a big one, the data
may extrapolate.

 

Best wishes

 

Arthur

 

From: goal-boun...@eprints.org [mailto:goal-boun...@eprints.org] On Behalf Of
Stevan Harnad
Sent: Sunday, 1 January 2012 8:52 PM
To: Global Open Access List (Successor of AmSci)
Subject: [GOAL] Re: How many researchers are there?

 

Some suggestions:

 

(1) Estimate the total number of papers P published per year y, Py, rather than
the number of researchers.

 

(2) Start with the Thompson-Reuters-ISI-indexed (or SCOPUS-indexed) subset.

 

(3) For Py, sample the web (Google Scholar) to see what percentage of it is
freely available (OA).

 

Our latest rough estimate with this method, using a robot, is about 20%.

 

(Using estimates of the number of researchers, if the margin of error for the
total is 1M - 10M then the margin of error for the percentage OA would be 10% -
100%, which is too big. Using known, published papers as the estimator also
eliminates the multi-author problem.)

 

Cheers, Stevan

 

On 2011-12-31, at 6:25 PM, Arthur Sale wrote:



I am trying to get a rough estimate of the number of active researchers in the
world. Unfortunately all the estimates seem to be as rough as the famous Drake
equation for calculating the number of technological civilizations in the
universe: in other words all the factors are extremely fuzzy.  I seek your 
help.
My interest is that this is the number of people who need to adopt OA for us to
have 100% OA. (Actually, we will approach that sooner, as the average
publication has more than one author and we need only one to make it OA.

 

To share some thinking, let me take Australia. In 2011 it had 35 universities
and 29,226 academic staff with a PhD. Let me assume that this is the number of
research active staff. The average per institution is 835, and this spans big
universities down to small ones. Australia produces according to the OECD 2.5%
of the world’s research, so let’s estimate the number of active researchers 
in
the world (taking Australia as ‘typical’ of researchers) as 29226 / 0.025 =
1,169,040 researchers in universities. Note that I have not counted
non-university research organizations (they’ll make a small difference) nor 
PhD
students (there is usually a supervisor listed in the author list of any
publication they produce).

 

Let’s take another tack. I have read the number of 10,000 research 
universities
in the world bandied about. Let’s regard ‘research university’ as equal to
‘PhD-granting university’. If each of them have 1,000 research active staff 
on
average, then that implies 10000 x 1000 = 10,000,000 researchers.

 

That narrows the estimate, rough as it is, to

         1.1M  < no of researchers < 10M

I can live with this, as it is only one power of ten (order of magnitude)
between the two bounds. The upper limit is around 0.2% of the world’s
population.

 

Another tactic is to try to estimate the number of people whose name appeared in
an author list in the last decade. Disambiguation of names rears its ugly head.
This will also include many non-researchers in big labs, some of them will be
dead, and there will be new researchers who have just not yet published, but I
am looking for ball-park figures, not pinpoint accuracy. I haven’t done this
work yet.

 

Can we do better than these estimates, in the face of different national
styles?  It is even difficult to get one number for PhD granting universities 
in
the US, and as for India and China @$#!

 

Arthur Sale

University of Tasmania, Australia

 

 

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