I am currently rearing an insect. I do have have data in terms of number of insects per generation. I want to know what generation yield a significant increase in population.
Your description of the data is too short to permit a clear answer. What kind of insects is it ? Withe clearly separated generations, or with overlapping generations ? semelparous or iteroparous ? When occur your counts ? At regular time intervals ? At different but recorded intervals ? What do you mean by "population" ? Is it the total population in your rearing cabinets or an external population of reference ? I apologize for answering to a question by other questions but these details are necessary to answer clearly.
Although I am not a statistician, but as a scientist, I can make the following submissions. As submitted by the previous respondents, the information provided by you seems too slim (insufficient) for one to be able to guide on the appropriate statistical analysis that befits your experiment.
In your response to those questions, can you please look at the following questions as well?
(a) Did you start with the same number of insects at each generation?
(b) Did you keep equal number of male and female at each generational study?
(c) Did you allow equal duration for each generational study?
(d) Was the laboratory conditions used for the study (for all generations) homogeneous?
(e) Did you replicate the study? Or was it repeated a number of times?
Perhaps Chi square or Analysis of variance can be relevant (in case of more than two generations). But I will suggest that you gather answers to the asked questions by all the respondents and then interact with a bio-statistician.