Jones model¶

The Jones model (also known as the semi-endogenous growth model) is a growth model developed in 1995 by economist Charles I.

Version: v1 · 2026-09-28 · History
Domain-specific #: 10191
Domain group: Social Sciences
Origin domain: Economics & Finance
Subdomains: Economic Growth Theory, Semi Endogenous Growth → Economics & Finance

Core Idea¶

Jones model is treated here as the recurring cross_domain_models_structures_representations identity summarized by this source-grounded definition: The Jones model (also known as the semi-endogenous growth model) is a growth model developed in 1995 by economist Charles I.

The Jones model (also known as the semi-endogenous growth model) is a growth model developed in 1995 by economist Charles I. The model builds on the Romer model (1990), and in particular it generalizes or modifies the description of how new technologies, ideas, or design instructions arise by taking into account the criticism of the Romer model that the long-term growth rate depends positively on the size of the population (economies of scale). This is problematic because empirically larger countries have not necessarily grown faster than smaller ones; and as total human population increased during the 20^th century, growth did not speed up.

Furthermore, the extent of influence from the current state of knowledge on new inventions (standing on shoulders effect). Although more researchers are producing more ideas, each researcher is contributing less and less. This case is also referred to as a fishing-out effect: over time, the relatively "simple" inventions are made first; Today, it is becoming increasingly difficult to develop a new drug.

For Jones model, the abstraction is narrower than the article's general subject matter: a positive case must preserve The Jones model (also known as the semi-endogenous growth model) is a growth model developed in 1995 by economist Charles I. Retaining only the name, a familiar example, or a downstream effect is insufficient. The specialist roles and tests remain anchored in cross_domain_models_structures_representations, which is why this identity is domain-specific rather than prime.

Structural Signature¶

Sig role-phrases:

Defining carrier — The model builds on the Romer model (1990), and in particular it generalizes or modifies the description of how new technologies, ideas, or design instructions arise by taking into account the criticism of the Romer model that the long-term growth rate depends positively on the size of the population (economies of scale).
Constitutive relation — The Jones model (also known as the semi-endogenous growth model) is a growth model developed in 1995 by economist Charles I.
Operating condition — For a single company i According to the following modeling applies to the emergence of new ideas or design instructions.
Recognition evidence — \dot A_i = \delta \cdot A(t)^\phi \cdot L_A(t)^{\lambda-1} \cdot L_{A_i}(t).
Admissible variation — \dot A refers to the derivative of A with respect to time: \dot A= \frac{\partial A(t)}{\partial t}.
Characteristic consequence — Parameter values of \lambda = \phi = 1 result in the Romer model ( \dot A = \delta \cdot A \cdot L_A ).
Failure boundary — \lambda restricts the effect of additional labor input in the research sector.

What It Is Not¶

Not the whole field of cross_domain_models_structures_representations. The node requires the specific identity stated by The Jones model (also known as the semi-endogenous growth model) is a growth model developed in 1995 by economist Charles I.
Not an over-broad reading. For a single company, however, this problem does not exist because, within a research department, all researchers know about the work of their colleagues.
Not an over-broad reading. This is problematic because empirically larger countries have not necessarily grown faster than smaller ones; and as total human population increased during the 20^th century, growth did not speed up.
Not an over-broad reading. For a single company i According to the following modeling applies to the emergence of new ideas or design instructions.
Not automatically Economic Growth Model. Retrieval proximity does not establish equivalence; the two identities must be compared by carrier, operation, and failure boundary.

Scope of Application¶

Jones model applies literally inside cross_domain_models_structures_representations wherever the source-defined carrier and relation can be established. Its documented habitats include:

Model Structure. For a single company i According to the following modeling applies to the emergence of new ideas or design instructions.
Model Structure. \dot A_i = \delta \cdot A(t)^\phi \cdot L_A(t)^{\lambda-1} \cdot L_{A_i}(t).
With. \dot A refers to the derivative of A with respect to time: \dot A= \frac{\partial A(t)}{\partial t}.
With. Parameter values of \lambda = \phi = 1 result in the Romer model ( \dot A = \delta \cdot A \cdot L_A ).
With. \lambda restricts the effect of additional labor input in the research sector.
With. Although more researchers are producing more ideas, each researcher is contributing less and less.

Outside cross_domain_models_structures_representations, the name should be retained only when these same operational conditions survive; otherwise the comparison belongs to the broader parent Theory or should be marked as analogy.

Clarity¶

A clear use of Jones model names the carrier, the operative relation, and the conditions under which the source treats the identity as present. The minimal definition is The Jones model (also known as the semi-endogenous growth model) is a growth model developed in 1995 by economist Charles I. The strongest recognition evidence in the frozen account is: \dot A_i = \delta \cdot A(t)^\phi \cdot L_A(t)^{\lambda-1} \cdot L_{A_i}(t). A report should distinguish that evidence from a proxy, consequence, or common implementation. It should also state the qualification For a single company, however, this problem does not exist because, within a research department, all researchers know about the work of their colleagues. so that a reader can reproduce the classification rather than infer it from topical resemblance.

Manages Complexity¶

Jones model compresses multiple cross_domain_models_structures_representations details into a stable diagnostic relation. The source shows both the central mechanism—the Jones model (also known as the semi-endogenous growth model) is a growth model developed in 1995 by economist Charles I.—and the practical consequence—parameter values of \lambda = \phi = 1 result in the Romer model ( \dot A = \delta \cdot A \cdot L_A ). This compression makes cases comparable while leaving parameters, conventions, exceptions, and evidential quality explicit. It is lossy by design: local history and implementation details may be omitted only when they do not alter the defining relation.

Abstract Reasoning¶

Type the carrier. Identify the cross_domain_models_structures_representations entities to which the claim applies.
State the relation. Use the source-grounded identity: The Jones model (also known as the semi-endogenous growth model) is a growth model developed in 1995 by economist Charles I.
Check operation and conditions. For a single company i According to the following modeling applies to the emergence of new ideas or design instructions.
Demand recognition evidence. \dot A_i = \delta \cdot A(t)^\phi \cdot L_A(t)^{\lambda-1} \cdot L_{A_i}(t).
Test variation. Change an implementation or setting while preserving \dot A refers to the derivative of A with respect to time: \dot A= \frac{\partial A(t)}{\partial t}.
Run the collapse test. Remove the defining operation; if the label still seems equally apt, only a topic or correlate was retained.
Reduce cautiously. When the specialist conditions cannot be carried, route the residual comparison to Theory.

Knowledge Transfer¶

Within the home domain. Knowledge about Jones model transfers literally when a new case preserves the same carrier type, relation, and recognition test. For a single company i According to the following modeling applies to the emergence of new ideas or design instructions. \dot A_i = \delta \cdot A(t)^\phi \cdot L_A(t)^{\lambda-1} \cdot L_{A_i}(t).

Beyond the home domain. No canonical parent is asserted for Jones model. An outside case receives the specialist name only when the same typed roles and rejection conditions can be filled literally; otherwise the comparison remains an analogy pending later graph densification.

Examples¶

Canonical¶

For example, a physicist should be able to develop the same new ideas, whether he lives today or 100 years ago (an unrealistic case). This case is canonical because it supplies a concrete carrier and lets the defining relation be checked rather than merely named.

Mapped back: carrier → the entities in the documented case; operation → The Jones model (also known as the semi-endogenous growth model) is a growth model developed in 1995 by economist Charles I; recognition evidence → \dot A_i = \delta \cdot A(t)^\phi \cdot L_A(t)^{\lambda-1} \cdot L_{A_i}(t)

Applied / In Practice¶

This case is also referred to as a fishing-out effect: over time, the relatively "simple" inventions are made first; Today, it is becoming increasingly difficult to develop a new drug. The applied case shows how the identity is used under a second setting or qualification while keeping the same operative relation.

Mapped back: changed setting → With; invariant → The Jones model (also known as the semi-endogenous growth model) is a growth model developed in 1995 by economist Charles I; boundary → the case exits the class when for a single company, however, this problem does not exist because, within a research department, all researchers know about the work of their colleagues

Structural Tensions¶

T1 — Stable identity versus admissible variation. For a single company, however, this problem does not exist because, within a research department, all researchers know about the work of their colleagues. The tension matters because emphasizing only one side either dissolves the identity or overstates what the evidence and domain conventions warrant.

Diagnostic: Which changes preserve the defining relation, and which replace it?

T2 — Recognition versus proxy. This is problematic because empirically larger countries have not necessarily grown faster than smaller ones; and as total human population increased during the 20^th century, growth did not speed up. The tension matters because emphasizing only one side either dissolves the identity or overstates what the evidence and domain conventions warrant.

Diagnostic: Does the cited evidence establish the identity or only a correlated sign?

T3 — Definition versus implementation. For a single company i According to the following modeling applies to the emergence of new ideas or design instructions. The tension matters because emphasizing only one side either dissolves the identity or overstates what the evidence and domain conventions warrant.

Diagnostic: Is the observed implementation constitutive, optional, or merely common?

T4 — Scope versus overextension. \dot A_i = \delta \cdot A(t)^\phi \cdot L_A(t)^{\lambda-1} \cdot L_{A_i}(t). The tension matters because emphasizing only one side either dissolves the identity or overstates what the evidence and domain conventions warrant.

Diagnostic: Can every claimed application fill the same typed roles without metaphor?

T5 — Transfer versus domain accent. The model builds on the Romer model (1990), and in particular it generalizes or modifies the description of how new technologies, ideas, or design instructions arise by taking into account the criticism of the Romer model that the long-term growth rate depends positively on the size of the population (economies of scale). The tension matters because emphasizing only one side either dissolves the identity or overstates what the evidence and domain conventions warrant.

Diagnostic: Does the receiving case instantiate Jones model literally, co-instantiate Theory, or only resemble it?

T6 — Autonomy versus reduction. The Jones model (also known as the semi-endogenous growth model) is a growth model developed in 1995 by economist Charles I. The tension matters because emphasizing only one side either dissolves the identity or overstates what the evidence and domain conventions warrant.

Diagnostic: What does Jones model distinguish that the broader parent Theory leaves together?

Structural–Framed Character¶

Jones model is mixed or framed-leaning. Its structural side is the repeatable organization summarized by The Jones model (also known as the semi-endogenous growth model) is a growth model developed in 1995 by economist Charles I. Its framed side is the cross_domain_models_structures_representations vocabulary that fixes the carrier, evidence, exceptions, and admissible transformations.

Evaluative weight: the identity can be stated descriptively even when applications carry practical stakes. Human-practice dependence: the source-grounded carrier determines whether the relation exists independently or is constituted by a practice. Institutional origin: disciplinary conventions stabilize the name and test. Vocabulary portability: For a single company i According to the following modeling applies to the emergence of new ideas or design instructions. Import versus recognition: literal transfer requires the same mechanism; shape alone is analogy.

Its portable skeleton is Theory. Its character: a recurring specialist identity whose thin organization can be abstracted, while its operational meaning remains domain-bound.

Structural Core vs. Domain Accent¶

What is skeletal. The Jones model (also known as the semi-endogenous growth model) is a growth model developed in 1995 by economist Charles I. The stable skeleton is the typed relation expressed in that definition and the entry's recognition and collapse tests. The source identifies these operative conditions: The model builds on the Romer model (1990), and in particular it generalizes or modifies the description of how new technologies, ideas, or design instructions arise by taking into account the criticism of the Romer model that the long-term growth rate depends positively on the size of the population (economies of scale). The Jones model (also known as the semi-endogenous growth model) is a growth model developed in 1995 by economist Charles I. It further constrains recognition and variation through: For a single company i According to the following modeling applies to the emergence of new ideas or design instructions. \dot Ai = \delta \cdot A(t)^\phi \cdot LA(t)^{\lambda-1} \cdot L{Ai}(t).

What is domain-bound. cross domain models structures representations supplies the operative entities, technical vocabulary, warrants, and exceptions that make Jones model literal. Its documented scope includes the condition that For a single company i According to the following modeling applies to the emergence of new ideas or design instructions. Another bounded application condition is that \dot Ai = \delta \cdot A(t)^\phi \cdot LA(t)^{\lambda-1} \cdot L{Ai}(t). These are not decorative examples; they determine which carrier and evidence can fill the abstraction's roles.

Why no parent is asserted. Removing those specialist details does not currently yield one live catalog node that is a necessary genus for every instance. The entry is therefore approved as unparented rather than attached by topical resemblance. Its collapse evidence remains specific—\dot A refers to the derivative of A with respect to time: \dot A= \frac{\partial A(t)}{\partial t}.—and future graph densification may discover a defensible relation only if it preserves that boundary.

This entry typically is a kind of Endogenous Growth Theory.

Approved unparented node. No current live node supplies a defensible necessary genus or structural prerequisite for Jones model. The reviewed identity is: The Jones model (also known as the semi-endogenous growth model) is a growth model developed in 1995 by economist Charles I. The accelerated suggestion was declined because topical or lexical similarity does not establish hierarchy; the node is admitted without a parent pending later graph densification.
Related reasoning operations. Evidence, representation, comparison, classification, transformation, or evaluation may participate in particular cases, but participation does not make any one of them a necessary parent of every instance.

Relationships to Other Abstractions¶

Current abstraction Jones model Domain-specific

Parents (1) — more general patterns this builds on

Jones model is a kind of, typical Endogenous Growth Theory Domain-specific

The Jones model is explicitly a semi-endogenous growth model built on Romer's endogenous-growth framework.

Hierarchy paths (11) — routes to 9 parentless roots

Jones model → Endogenous Growth Theory → Economic Growth Model → Capital Accumulation → Capital Stock → Accumulation

Show alternative paths (10)

Neighborhood in Abstraction Space¶

Jones model sits in a sparse region of the domain-specific corpus (76^th percentile for distinctiveness): few abstractions share its structure, so a faithful description tends to retrieve it precisely.

Family — Classical & Trade Economic Theory (20 abstractions)

Nearest neighbors

Kenneth Boulding's Evolutionary Perspective — 0.83
Teaching-Family Model — 0.83
Industrial market segmentation — 0.83
Inframarginal analysis — 0.83
Design for the environment — 0.82

Computed from structural-signature embeddings · 2026-10-08

Not to Be Confused With¶

Theory. The parent omits the specialist differentia. Tell: Can the case establish The Jones model (also known as the semi-endogenous growth model) is a growth model developed in 1995 by economist Charles I?
Economic Growth Model. Represent an economy's long-run output path as a closed dynamic system of productive stocks, accumulation and depreciation, production returns, population or labor, and technology, so assumptions determine whether growth converges, balances on a knife-edge, or sustains itself endogenously. Tell: Which entry's carrier, operation, and failure condition are satisfied?
Endogenous Growth Theory. The class of models that make long-run growth an output of the economy's own agents and incentives rather than an exogenous parameter — the non-rivalry of knowledge generating aggregate increasing returns that escape diminishing-returns convergence and turn R&D and IP policy into growth levers. Tell: Which entry's carrier, operation, and failure condition are satisfied?
Solow–Swan Model. The neoclassical growth model whose diminishing-returns structure drives each economy to a parameter-pinned steady state, yielding conditional convergence — economies sharing fundamentals close their gaps at a rate set by the capital share, while saving raises the level of income but not the long-run growth rate. Tell: Which entry's carrier, operation, and failure condition are satisfied?
A measurement, proxy, or consequence. Those may provide evidence without being the identity. Tell: Would Jones model remain present if the detector or downstream effect changed?
A metaphorical analogue. A similar shape outside cross_domain_models_structures_representations lacks the specialist mechanism. Tell: Do the native roles transfer literally, or only the parent Theory?

References¶

Frozen Wikipedia discovery revision: https://en.wikipedia.org/wiki/Jones_model (revision 1338601769).
Preserved source candidate: https://wirtschaftslexikon.gabler.de/definition/jones-modell-53693

The frozen Wikipedia revision is discovery provenance. The retained source set was reviewed for identity, formal or operational relation, and scope. The encyclopedia's structural synthesis is bounded to those claims; a thin authority surface is recorded as a nonblocking source-strengthening repair rather than concealed.