as for the moran index, it is criticall depend on the weight , the weight can be differ on different scale, it can be binary, or it can be based on the distance. the distance maybe the geo distance or the economic and social distance.
to be clear:
1 moran is only a index, it is based on spatial weight
2. You can derive the spatial weight as you like , it can based on the coordinates or based on the trade volume  of interregion variables, such as the heighway distance.
hope this chan help you.

那么如设定权重矩阵呢？行单位化？我看很多然这样做，我只是怀疑这个指数是不是还是Moran‘I，有没有别的名字，避免误会，纯粹严谨起见
2# nkzzq5566

看你要做的事空间计量的什么模型啦。如果是面板模型的话，ELHORST在panel data里面提出了集中新的weighted matrix 的构造方法。可以参考一下

0-1矩阵是空间加权矩阵的一种选择，Moran's I或者其它检验没有明确要求必须是0-1矩阵，只要符号一定的条件即可。可以参考kelejian等人关于Moran's I的研究。

谢谢啊，，，