Selena, this is not my topic, but I would suggest to build a scale of integration (an index, let say, between 0 and 100%) based on several parameters: a) behavior as local (it is a bit difficult to measure objectively, but questionnaire can help), one can ask % of time spent with natives and with local diaspora, and similar questions, b) speaking as local (language knowledge, here we have objective measures via exams A1-C2), I would put A1 20%, A2 40%, B1 60%, B2 80%, C1 90%, C2 100%, c) acceptance of local values (difference between your and major local religion, visible differences in dressing, how often local food is used versus your traditional,  level of respect to local traditions, political preferences, etc.)

I guess that almost no migrant can get here 100%, but something above 70% can be treated as good integration, 50-70% - moderate, 30-50% - low, below 30% - non-integration.

Hi Yuri, thank you very much for your input. This is a very interesting approach and quite different from how I thought about it so far. I believe that this might be a way of approaching it since I cannot find a scale that fits our target group and instead I have been playing around with items from different scales, such as Keyes, 1998 and Cutrona & Russell, 1987. I will try a pilot but I believe for the future I definitely need to go deeper into the issue.

HI Selena -- I don't have a specific suggestion for you, but I was interested in your post given some of the research my students and I are planning. We are also looking at the Cutrona and Russell. We are trying to measure social support from different 'sources' or domains among dual earner couples. I'm not familiar with Keyes, but will try to find it. I'm curious what your thoughts are on the Cutrona measure, and where you think it works and doesn't work for your purposes. For us, we really like that it addresses many different types of social support. What we don't like is that all of a person's relationships are lumped together in the instructions. I'd rather see how people feel supported by different groups (e.g., friends, family, co-workers) separately, and perhaps the types of support they can rely on from different groups. 

I am not sure whether I am able to understand your struggle-

I have theoretically stated that "... ...the quality of sahya is not exclusively individualistic and manifests not only in one-to-one interactions, but can pervade one-to-group, and group-to-group interactions. This is quite evident in the following statement of Vivekananda. Vivekananda (1989b) observed here that tolerance (sahya)

...had entered into the blood of the nation, till it began to tingle with every drop of blood that flowed in its veins, till it became one with the life, part and parcel of the material of which it was composed; and thus the land was transmuted into the most wonderful land of toleration, giving the right to welcome the various religions as well as all sects into the old mother country. — p. 113

Vivekananda also elaborated how and to which level the quality of sahya could be manifested in a group. It is a quality which is inherent in every Indian and, at the right occasion, the quality of sahya permeates even those with whom the nation interacts. The first remarks of Vivekananda (1989a), during his “response to welcome”, at the World’s Parliament of Religions, Chicago, on 11 September 1893 reveals it:

I am proud to belong to a religion which has taught the world both tolerance and universal acceptance. We believe not only in universal toleration, but we accept all religions as true. I am proud to belong to a nation which has sheltered the persecuted, and the refugees of all religions and all nations of the earth. I am proud to tell you that we have gathered in our bosom the purest remnant of the Israelites who came to Southern India and took refuge with us in the very year in which their holy temple was shattered to pieces by Roman tyranny. — p. 3

In the current global scenario, where hostility and aggression between castes, races, religions and nations prevail, and at times have led to aggressive actions, conflicts and war, the role of sahya as a group quality assumes prime importance." p.432, 433.

https://www.researchgate.net/publication/312056512_Sahya_The_Concept_in_Indian_Philosophical_Psychology_and_its_Contemporary_Relevance

However I am not sure whether and how it can be measured as a group measure.

Not sure whether this can be said about every region of the nations- Though I have not seen all the world, seeing more than 20 countries, one get a different feeling being at Gothenburg, Sweden- may in other parts of Sweden as well as other regions of the world too.

Am happy to participate further on this discussion, if it is moving beyond individual perception.

Chapter Sahya: The Concept in Indian Philosophical Psychology and it...

Salena: After posting my previous response, I was wondering whether you are thinking of a different concept altogether-

Are you thinking of a similar tool? 

McColl MA, Davies D, Carlson P, Johnston J, Minnes P. The Community Integration Measure: development and preliminary validation. Arch Phys Med Rehabil. 2001;82(4):429–34.

and

Reliability and validity of the Japanese version of the Community Integration Measure for community-dwelling people with schizophrenia

Ai Shioda, Etsuko Tadaka and Ayako Okochi

International Journal of Mental Health Systems 2017, 11:29 | Published on: 17 April 2017

I would figure out from your own experience, what the variables are. I would then make up items that are rated on a 1 - 6 scale, all running the same say. I would base each scale on concrete examples of what you think that variable is measuring. I would give out the scales on survey monkey to anyone. Then I would factor analyze each scale and eliminate items that did not load on just the first factor. That way you will have clean scales that everyone understands what they are measuring. Then I would give the cleaned scales again.

The the scales scores and their products should be entered into a multiple regression. We have published 6 such studies and had r's over .7 and over. Other ways of doing it do not work and give r's around .2 to .4

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Dear Bernadette and other respondents,

first of all, thank you for your input with regard to measuring perceived integration of individuals living in communities, in our case mothers.

To define the context, we are exploring a middle-sized city in the North of the Netherlands. We realised that mothers living in the community often experience loneliness and have little trust in the future in being employable again. We are exploring the issue from a psychological perspective which means that we are particularly interested in the motivational effects of experiencing little social integration and that means that we are mainly interested whether they perceive that they are socially integrated or not (it is not so much about whether they have the resources or are objectively integrated).

Therefore, our approach differs from yours I believe but to get back to your question about the Cutrona measure. We decided that the following items are most meaningful for our purposes:

Social integration (Cutrona &Russell, 1987)

5. There are people who like the same social activities I do.

8. I am with a group of people who think the same way I do about things.

14. There is no one who has the same interests and concerns as me. R

22. There is no one who likes to do the things I do. R

Reassurance of Worth (Cutrona &Russell, 1987)

6. Other people do not think I am good at what I do. R

9. I do not think that other people respect what I do. R

13. There are people who value my skills and abilities.

20. There are people who admire my talents and abilities.