And, in an economic perspective, this one : Geoghegan, J., L.A. Wainger and N.E. Bockstael. 1997. “Spatial landscape indices in a hedonic framework: an ecological economics analysis using GIS”, Ecological Economics, vol. 23, 251-264.

Thank you Sadoti, I just want to find who firstly analysed urban form or spatial pattern of urban land or their changes using landscape metrics. Maybe your answer is the clue to get who first  used landscape metrics in ecology not in urban geography.

Xiaofeng Gao:

Look at this author: Michael P. Conzen.

You can also find more about that topic on the Urban Morphology journal.

The first mathematical formulation of urban land use may be attributed to:

Johann Heinrich von Thünen for his (1842) formulation of land rents and the idealization of urban-agricultural regions in concentric circles. 

For a modern revisit of von Thünen's formulation:

https://www.researchgate.net/publication/5140344_Agent-Based_Verification_of_Von_Thnen's_Location_Theory

Article Agent-Based Verification of Von Thünen's Location Theory