Pakistan Centre for Philanthropy has conducted many studies on Philanthropy including individual, family and national level philanthropy. You can find them on their website. My review of one of their studies is attached for your information. I hope it helps.

Two studies - both with a focus on India:

Pushpa Sundar- Beyond Business. From Merchant Charity to Corporate Citizenship. Indian Business Philanthropy through the Ages(2000) Tata McGraw -Hill.

You may also look at other publications by Sundar and the Indian Centre for Philanthropy

Erica Bornstein - Disquieting Gifts. Humanitarianism in New Delhi, Stanford University Press(US edition) /Cambridge University Press(Indian edition) 2013.

Also other publications by Bornstein. 

Dear Murat,

Have you already tried to look at indicators as the CAF World Giving Index ?

https://www.cafonline.org/about-us/publications/2015-publications/world-giving-index-2015 

Thanks Rodica. I am actually planning to use WGI data and make an estimation at country level. But charity is an indiviual level decision. Vast majority of the studies are at individual level. When using country level data, there might be some technical problems. I am wondering how the others dealt with these issues.