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Since I tried Ludwig back in 2017, I have been constantly using it in both editing and translation. Ever since, I suggest it to my translators at ProSciEditing.

Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com
a model under which
Grammar usage guide and real-world examplesUSAGE SUMMARY
The phrase "a model under which" is correct and usable in written English.
It can be used to describe a framework or system that governs how something operates or is understood. Example: "We are implementing a model under which all employees can work remotely two days a week."
✓ Grammatically correct
Science
News & Media
Formal & Business
Alternative expressions(5)
Table of contents
Usage summary
Human-verified examples
Expert writing tips
Linguistic context
Ludwig's wrap-up
Alternative expressions
FAQs
Human-verified examples from authoritative sources
Exact Expressions
11 human-written examples
European officials say they believe a model under which the fund would insure against losses on purchases of bonds in struggling countries is the most likely option.
News & Media
For more than a year, company execs have been discussing becoming a "mobile virtual network operator," or MVNO, a model under which a company skips the expensive process of building a national phone network, instead signing on with an existing provider and rebranding its service.
News & Media
Thus, for instance, Burdett and Judd (1983) propose a model under which price dispersion can be sustained in equilibrium provided that some consumers observe multiple prices while other consumers observe only one price; this asymmetric distribution of price information is attributed to search costs.
Science
In its effort to legitimize fan fiction, the company is establishing a model under which it acts as publisher and pays fan-writers between 20 and 35percentt of sales, depending on length.
News & Media
Smith asks his readers to consider a model under which new data is put online immediately, with reviewer and editor comments available after online publication.
Science
These observations support a model under which HP1E acts pre-fertilization to ensure proper chromosome condensation and segregation of paternal chromosomes post-fertilization.
Science
Human-verified similar examples from authoritative sources
Similar Expressions
49 human-written examples
The test is based on a null model under which, in a comparison of two alternative hypotheses, for example, H1 = ((X − Y),Z) versus H2 = ((X − Z),Y), the number of RGC_CAMs that are shared by two lineages due to chance (NXY and NXZ) is proportional to the length of the branch, the position of which differs between the compared hypotheses, that is, Y and Z, respectively, in the above example.
Science
Other ideas to save the channel include adopting a "Channel 4 model" (which would see BBC3 remain in public ownership but be funded by advertising instead of the licence fee) or a "UKTV model" (under which it would be co-owned as a joint venture between the BBC's commercial arm, BBC Worldwide, and private-sector partners).
News & Media
The assumption made in the model that there is a single underlying causal SNP essentially amounts to fitting a simplified model under which there are two classes of haplotypes (low and high risk) leading to three different genotype risks.
Science
Currently Leeds has a leader model under which the public vote for councillors who then elect a council leader.
News & Media
As part of this, plans are being considered to hold a referendum on general election day in which people would be asked to support or reject a switch from the present first-past-the-post system to a new model, under which candidates would need to have the support of at least 50% of voters to be elected.
News & Media
Expert writing Tips
Best practice
When using the phrase "a model under which", ensure the subsequent clause clearly defines the workings or key aspects of the model being described. Clarity is key to effective communication.
Common error
Avoid using "a model under which" if you can't adequately explain the core principles or mechanics of the model in the same sentence or immediately following. Provide enough context to prevent ambiguity.
Source & Trust
85%
Authority and reliability
4.5/5
Expert rating
Real-world application tested
Linguistic Context
The phrase "a model under which" functions as a relative clause, introducing a subordinate clause that provides essential information about a particular model. As noted by Ludwig AI, it defines a framework or system that governs how something operates. It is often used to elaborate on the structure or mechanism of a concept.
Frequent in
Science
40%
News & Media
36%
Formal & Business
24%
Less common in
Academia
0%
Encyclopedias
0%
Wiki
0%
Ludwig's WRAP-UP
In summary, "a model under which" is a grammatically correct and useful phrase for describing a system or framework that governs a specific operation. Ludwig AI confirms its proper usage in defining operational characteristics. While generally formal, it's versatile enough for neutral contexts. Usage is most common in science and news, suggesting a broad applicability in explaining structured concepts and processes. When employing this phrase, ensure that the workings of the model are clearly defined to prevent ambiguity. Alternatives such as "a framework wherein" or "a system by which" can provide subtle shifts in emphasis depending on the desired nuance.
More alternative expressions(6)
Phrases that express similar concepts, ordered by semantic similarity:
a system by which
Replaces 'under which' with 'by which', focusing on the mechanism.
a framework wherein
Changes the structure to use 'wherein' for a more formal tone.
a mechanism through which
Emphasizes the process or means by which something is achieved.
a structure allowing for
Shifts the focus to the enabling aspect of the model.
an arrangement where
Uses 'arrangement' to soften the formality, and 'where' instead of 'under which'.
a methodology governing
Frames it as a set of methods that control or regulate something.
a scenario in which
Highlights a specific hypothetical situation or context.
a format enabling
Shifts the emphasis to the format's ability to facilitate something.
a protocol that dictates
Presents a more rigid and rule-based alternative.
a principle guiding
Focuses on the fundamental rule or belief influencing the outcome.
FAQs
How can I use "a model under which" in a sentence?
Use "a model under which" to introduce a description of a framework or system that defines how something operates. For example, "We are testing "a model under which" all new features will be first released to a small group of beta testers".
What are some alternatives to using "a model under which"?
You can use alternatives like "a framework wherein", "a system by which", or "an arrangement where" depending on the specific nuance you want to convey.
Is it better to say "a model in which" or "a model under which"?
While both phrases can be grammatically correct, "a model under which" typically implies a system or framework that governs how something operates, whereas "a model in which" is more general and can refer to any aspect of the model. The better choice depends on the intended meaning.
What's the difference between "a model under which" and "a model that"?
"A model under which" specifically describes a framework of rules or principles. "A model that" is a broader descriptor, simply specifying a characteristic of the model without implying governance. For example, "a model that predicts sales" simply describes a predictive model.
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Table of contents
Usage summary
Human-verified examples
Expert writing tips
Linguistic context
Ludwig's wrap-up
Alternative expressions
FAQs
Source & Trust
85%
Authority and reliability
4.5/5
Expert rating
Real-world application tested