The phrase "a substantial variation between" is correct and usable in written English.
It can be used when discussing differences or changes in quantity, quality, or characteristics between two or more items or groups.
Example: "There is a substantial variation between the test scores of the two classes, indicating different levels of understanding of the material."
Alternatives: "a significant difference between" or "a considerable disparity between".
Using the OECD Input Output database and the ANBERD database, we show that product-embodied knowledge accounts for about half of total technology use, on average, but with a substantial variation between industries.
Importantly, the analysis by Poore and his team also revealed a substantial variation between different methods of producing the same food.
Our results show a substantial variation between neighbourhoods and the odds of being obese were almost doubled in poor areas.
We also found a substantial variation between neighbourhoods, since the magnitude of the unexplained variance in alcohol consumption was similar to the effect sizes of individual SES.
'ss', 'bs' and 'bb' refer to sister sister, brother sister and brother brother To illustrate that matching is indeed necessary, the boxplots in Fig. 1 show a substantial variation between the ORs from the 1,000 randomly ascertained samples.
A national analysis does, however, conceal a substantial variation within countries, between regions, and between social classes.
There is a substantial variation in prediction accuracy between the different molecules in our dataset.
There was a substantial variation in questionnaire compliance between individual schools, although the trend to lower compliance in later surveys was consistent across all schools.
A small and statistically not significant effect of combined psychotherapeutic and pharmacological interventions on outcomes that are directly related to depression (response, remission, symptom severity) with a substantial variation of effect sizes between studies was revealed.
We also estimated 5' and 3' LTR substitution rates from different species pairs (table 3) showing a substantial variation in LTR substitution rates between the analyzed ERV families (figure 2).
There was a substantial variation in the weight loss between individuals as shown in Figure 3.
