I recommend reading the interesting and profound article ‘Doing Hirsch proud; Shaping H-index in engineering sciences’  by L. CZARNECKI, M.P. KAŹMIERKOWSKI and A. ROGALSKI, where the authors carry out, among others
The H-nature of things has been described, and several axiomatic characterizations of the Hirsch index have been gathered. The mechanism for increasing the h-index has been presented. Some similarities between h-index and the journal impact factor (JIF) have been stressed. Alsothe universal role of H-index in ranking countries in all areas and in Engineeringhas been exampled in extended tables.
At a certain point the authors make a visit to the indexes of scientific production by country, but the central theme is to dissect the behavior of h-index  in the sub-fields of knowledge within Engineering.
There I began to wonder how great it would be if they had had time and space to address how to effectively compare the production of scientific articles between different countries.
When I looked at the list of scientific articles produced by Scimago Journal & Country Rank  , I asked myself how to relativize those numbers in terms of population size, gross domestic product, and investment in research.
Adopting the H-index as a reference, the ranking is dominated by USA, UK, Germany and France.
When this list is seen throgh the light of the number of documents, China and Japan appear in the top 10.
Of course, effective investment outcomes are a complex issue with tangible (patents, derivatives, exports) and intangibles (culture, education, quality of life, etc.) benefits that merit in-depth studies for adequate estimates .
But since SCIMAGO has established a scale of absolute values and a ‘relative’ scale via the H-index and as we have data available from the World Bank on R & D investments , why not to try a comparative look ?
The parameter that I think is the best to express the relative preference of the countries for investment in R & D and present in the data from World Bank was ‘Expenditure per Capita’. At first, to me, not an Economist, this metric seems fine to relativize the influence of population size and the size of gross domestic product.
The per capita expenditure has an expressive correlation index with the H-index.
|Expenditures on R&D per capita||H index|
|Expenditures on R&D per capita||1|
In my view as a non-specialist, the cost effectiveness of national R & D investment policies can be indirectly compared by comparing not absolute numbers of published documents or citations to those documents. It is necessary that these numbers be relativized according to the per capita investment that each nation applies in research.
In the light of these factors, in a superficial analysis and only as a basis for reflection and pure curiosity, it seems to me that the following list would be a more expressive ranking as to the capacity of countries to produce significant results for each $ invested by their citizens.
The top 30 countries with the highest per capita investments in R & D.
The top 30 in cost effectiveness in the production of ‘Citable Documents’ according to SCIMAGO.
|Rank||Country/Region||Citable Docs/ Exp.Capita|
The top 30 in cost effectiveness in the production of ‘Citations’ according to SCIMAGO.
|Rank||Country/Region||Citations/ Exp. Capita|
|22||Bosnia and Herzegovina||0,136|
The top 30 in cost effectiveness in the production of ‘H-index units’ according to SCIMAGO.
|Rank||Country/Region||H units/ Exp.Capita|
So, congratulations to the Philippines who, according to these figures, are doing a beautiful and efficient work of scientific divulgation.
Here an intereactive version @ plot.ly  to play with.
But the theme is so complex that as I finished this basic exploration I began to think about the relative cost of keeping research in line with the cost of living and infrastructure of each country.
Okay, but this is for some fellow economist who can deal with this problem with greater competence and authority.
 L. Czarnecki, M. P. Kaźmierkowski, and A. Rogalski, “Doing Hirsch proud; shaping H-index in engineering sciences,” Bull. Pol. Acad. Sci. Tech. Sci., vol. 61, no. 1, pp. 5–21, 2013.
 SCImago, “SJR – International Science Ranking,” 2007. [Online]. Available: http://www.scimagojr.com/countryrank.php?order=it&ord=desc. [Accessed: 26-Jan-2017].
 “Google Scholar Metrics Help.” [Online]. Available: https://scholar.google.com/intl/en/scholar/metrics.html#metrics. [Accessed: 26-Jan-2017].
 World Bank, “Researchers in R&D (per million people) | Data.” [Online]. Available: http://data.worldbank.org/indicator/SP.POP.SCIE.RD.P6. [Accessed: 26-Jan-2017].
 Myles Gough, “Measuring the impact of R&D spending,” Measuring the impact of R&D spending, 2016. [Online]. Available: https://www.natureindex.com/news-blog/measuring-the-impact-of-r-and-d-spending. [Accessed: 26-Jan-2017].
 “Plotly | Make charts and dashboards online.” [Online]. Available: https://plot.ly/. [Accessed: 26-Jan-2017].