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The andronovo culture located mostly in modern day kazakstan , Uzbekistan and krygyztan and some parts of Russian Siberia . The culture is basically an successor culture to the sintashta culture which was inturn a successor to the poltavka culture which was basically a continuation of the yamnaya culture. From archelogical evidence we can say that andronovo culture was a highly moblie culture spatially speaking, in other words they were nomadic and from the absence of cultivation or rearing of pigs and based on the fact that cultivation was restricted to the peripheral regions of the oxus river valley civilization which was it's immediate neighbor, the culture did not practice agriculture to a large extent which is odd considering the fact that kazakstan has 48,000 lakes fed by small river and streams and around 10,000 rivers , so agriculture is possible especially in the great kazakh steppe ,the kazakh forest steppe ,the kazakh uplands , now considering the fact agriculture was prevelant in oxus river valley civilization what if by 2000 bc majority of the andronovo culture adopt agriculture of the shifting type ( I am not referring to the slash and burn technique) and later on domesticate pigs and are able to have more animals and this will result in a population boom but at the same time have less conflict due to abundance of resources and let's say they expand into the pontic steppes and Caucasian mountains.

My question are as follows

1)What would be the population of andronovo culture which practiced shifting cultivation?

The steppes are not a stranger to these practice the scythians practiced it too , Herodotus said that the pontic scythians had population around 6.7 million people and this excludes the Eastern scythians ( take this number with a pinch of salt given the inaccurate nature of some aspects of Herodotus work . Now the scythians appear around 1100bc and Herodotus work inquiry was done in 450bc so in 650 years ,the scythians went from a few million to nearly 7 million which is not unusual considering the fact that population in late bronze age and early iron age doubled every 800 years , however while you calculate the andronovo culture keep in mind that andronovo inhabitants are now experiencing the benefits of bronze age agricultural revolution so the intial growth in population may be more than that of scythians.
Finally the settlement in this time line is more nothern and western as opposed to eastern and central as in our time line the reason being western and nothern kazakstan is suitable for shifting cultivation while Central and eastern is more suitable for nomadic way of life but what is more is that eastern lands were prone to para plague and killed a lot of people and even caused the decline of afanasevo culture

2) Would the speed of migration change ?
And impact on Indian subcontinent and iranian plateau?

The inhabitants of andronovo culture would find that land loosing it's fertility over the years and combined with the effects of climate change the culture not knowing the technique of dryland farming a technique for intensive cultivation in steppes which wasn't invented until the late 18th century and introduced in steppes in late 19th century, will start to migrate southwards with the eastern half moving into modern day Afghanistan and the western half moving into modern day Iran and few will move west into Europe , the eastern branches will move into India , this will take place around 1300bc a good 200 years late but since indian lands especially Punjab is great for agriculture a lot of Indo iranian people will move to India rather than Iran and the Indo iranian migration will be prolonged than in our time line may be from 1300 bc to 700bc , so what would this mean for the Indian subcontinent and the iranian plateau?

And finally , what other butterflies can you foresee ?
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