"constrain impact" is correct and can be used in written English.
For example, you could say "The new regulations significantly constrained the impact of the project."
Conversely, however, for effects for which effective short-term abatement options exist (e.g. shortages of drinking water), such well-developed systems and available resources could constrain impact-estimates.
The constraining impact of decisions from the central health bureaucracy regarding funding, policies, structures and processes which result from waves of reform was particularly stressed by the state-funded sites.
The socio-cultural environment exerts a constraining impact on coping and the SF36 among women in mining communities, leading to a stressful life; while limited educational and employment opportunities may compound to aggravate Physical and Mental Health.
Furthermore, the lysine biosynthesis pathway in Synechocystis was identified as thermodynamically constrained, impacting both endogenous and heterologous reactions through low 2-oxoglutarate levels.
Programs which qualify for reduced slew tax also qualify for a reduced "time constrained count". Time constrained observations impact Chandra's observing efficiency.
They have a social mission but their inability to grow beyond a few people, and their frequent dependency on grants and local government funding, severely constrain their impact.
I argue that borrowing states significantly constrain the impact of MDB IAOs and that borrowing state influence varies depending on regime type.
The Chancellor has responded to criticism that his Help to Buy scheme, due to launch in January, could cause a dangerous housing market boom, by giving powers to the Bank of England to constrain its impact.
It is not a trivial task to constrain the impact of ionic strength on Sr/Ca and Ca/Ca fractionation during inorganic calcium carbonate formation.
Numerical simulations computed using the non-smooth model are compared with experimentally recorded data for a flexible beam constrained to impact on one side.
The paper provides a counterpoint to prior research by illustrating how socio-political factors enabled more than constrained the impact of the institutional work undertaken by individuals within an independent oversight body.
