How do shifting demographics influence the policies of traditionally conservative political parties?

As populations in many countries become more diverse due to immigration, changes in birth rates, and urbanization, political parties are often compelled to adapt their platforms and messaging. This demographic evolution presents both challenges and opportunities, particularly for traditionally conservative parties that may need to balance upholding their core principles with attracting a broader electorate. Analyzing case studies from countries experiencing significant demographic changes could offer insights into how these shifts are shaping policy priorities and electoral strategies, and ultimately, how they redefine the political landscape.