What kind of human activity? kindly define what kind of human activity you want to calculate? thanks 

As you are calculating the effects of human activities that are fairly easy to recognize, please do not forget to look at the impact of the change to the local ecosystem?  Did erosion affect other communities?  Did the affect of grazing change the local plant communities?  Did the migration of some animals (even local migration) get changed or even blocked by the human changes in geomorphology, or even their presence.  I encourage you to look at the less obvious, but maybe even more critical changes to the ecology of the area you are studying.

Historical Approach and Case Study Approach may help your develop a statical/mathematical model to measure the impact of human activities such as Constructions, Mining, deforestation, afforestation, infrastructure etc. on geomorphological features of mountains to be studied.

Before and after affected by human activity (as external factor)  the morphology of a studied landform  should be measured. You could choose which variables of the morphology studied to measure the effect of the external factor on the landform. You could need both mono- and multivariate tests of difference between two means if you want only to calculate one effect, using more than two response variables. You could also use analysis of variance to test the effect of the external factor on more than two objects. As a result of the tests conslusions can be drawn about how far is the measured effect of the external factor on the studied object.

Topics : tectonics morphometry, geotechnics, neotectonics, geomorphology

What kind of activity do you want to identify? The activities include the engineering construction and non-engineering construction.

Sorry, I can help you veryfew.

I tryed to analyze in my region the problem you are studying

(at least I think).

Please, if you wish, see:

S. Cremonini, D. Labate, R. Curina, 2013. The late-Antiquity environmental crisis in Emilia Region (Po river plain, Northern Italy): geoarchaeological evidence and paleoclimatic considerations. Quaternary International, 316, 162-178, ISSN: 1040-6182, doi: 10.1016/j.quaint.2013.09.014

Thank you.

Dear Dr. Potdar:

I don't think that there is a straight answer to your question because human impacts landforms directly but also through the modification of processes that act and provide feedbacks over time-scale. Although one would argue that modeling is possible, handling complexity in those issues

Although one would argue that modeling of these processes is possible, handling complexity is another issue altogether.

If I were you, I would start to try looking at the issues from a systemic angle. 

I hope those comments help.

Best

Christopher Gomez

Indeed, I agree Mr Biswas comment that the human activities might be engineering or non-engineering construction. Your identification of the studied  effect on the geomorphology should be specific, represented 

Comparison of multi-temporal topographic data (differencing of digital elevation models from different dates) can be an effective approach to detecting human geomorphic activity (mining, road building, urban development, dam & reservoir construction, landfills).  See the following web site that details such work for the U.S.: http://topochange.cr.usgs.gov/.  A related publication titled "An inventory of topographic surface changes: the value of multi-temporal elevation data for change analysis and monitoring" is available at: http://www.int-arch-photogramm-remote-sens-spatial-inf-sci.net/XL-4/59/2014/.

The human effect  (urban development,road building,landcover etc.) on the geomorfology of the landsacpe, can recovered from open data as( usgs, corine 2000 etc),digital elevation model or digitazing remote sensing & google earth images.The human features can calculated with other layers as (slope, geology,etc )which used in geomorfological analysis, with the arc gis tools raster calculator for raster or feature calculator for vector features.

Sadhan Malik please upload here paper 

You can  calculate effect  human activity on geomorphological features by measure changes of landforms during times by monitoring Images