The DOI matches its Crossref record.
Theoretical studies on the coexistence of competing species under continuous-flow conditions
Abstract
In continuous-flow environments, such as a chemostat, we find that, in theory, stable mixed populations of competing species obeying Monod/Michaelis–Menten growth kinetics (extended to more than one limiting substrate) cannot coexist unless the number of growth-limiting substrates is equal to or greater than the number of species. Additional restrictions on the relative values of the growth-yield constants and input-substrate concentrations must also be satisfied. Examples of the theoretical growth of mixed cultures after initial inoculation in stable and unstable cases are presented. The ecological consequences of these findings are briefly discussed.
Overview
The claims and statistics of this paper haven’t been checked yet.
Run the check — free, no account needed. It reads the open-access text and checks the sources it cites.
Integrity signals
Registry
Cites
Statistics
Verification
Claims the paper makes
The claims and statistics of this paper haven’t been checked yet.
Run the check — free, no account needed. It reads the open-access text and checks the sources it cites.
Self-check
Percentages, sums and reported differences re-computed from the paper’s own numbers.
The self-check needs the paper’s full text.
Citations
Cited by
Resource Competition between Plankton Algae: An Experimental and Theoretical Approach
Tilman, D. (1977) · Ecology · doi:10.2307/1935608 · Cited by 1,253
Phytoplankton Community Ecology: The Role of Limiting Nutrients
Tilman, D., Kilham, S. S., & Kilham, P. (1982) · Annual Review of Ecology and Systematics · doi:10.1146/annurev.es.13.110182.002025 · Cited by 1,085
The Resource-Ratio Hypothesis of Plant Succession
Tilman, D. (1985) · The American Naturalist · doi:10.1086/284382 · Cited by 1,050
ON THE DOMINANCE OF FILAMENTOUS CYANOBACTERIA IN SHALLOW, TURBID LAKES
Scheffer, M., Rinaldi, S., Gragnani, A., Mur, L. R., & van Nes, E. H. (1997) · Ecology · doi:10.1890/0012-9658(1997)078[0272:otdofc]2.0.co;2 · Cited by 555
A Mathematical Theory for Single-Nutrient Competition in Continuous Cultures of Micro-Organisms
Hsu, S. B., Hubbell, S., & Waltman, P. (1977) · SIAM Journal on Applied Mathematics · doi:10.1137/0132030 · Cited by 527
Metadata
- Authors
- Taylor, P. A., & Williams, P. J. L.
- Venue
- Canadian Journal of Microbiology
- Publisher
- Canadian Science Publishing
- Published
- 1975-01-01
- Volume
- 21
- Issue
- 1
- Pages
- 90-98
- ISSN
- 0008-4166 (ISSN-L)
- 1480-3275
- OpenAlex
- W1988025776
- Cited by
- 177
- References
- 0
- FWCI
- 5.74
- Type
- journal article
- Language
- en
- Open access
- closed
About these checks
Registry, retraction, Cites and statistics results are computed, not judged, with one exception: a printed reference that no index lists is read once by a model before it counts as a citation error. Claims are extracted by a model and kept only when their quote appears verbatim in the text; each cited source is then checked, with a model’s help, for whether it says what the claim relies on. Those verdicts can be wrong — read the claim’s quote and the cited source before relying on one.
Statistics and arithmetic are recomputed, not judged.
Confidence bands are shown only for fields calibrated on our annotated test set. None is calibrated yet, so no band is shown.
What counts as a claim ›How we measure confidence ›How we check this ›
Are you an author, or do you see a problem with this page? Request a review
How to cite
Cite CoChat for the checks on this page, and the paper for its own findings.
- This page
- CoChat. (2026). Citation check: Theoretical studies on the coexistence of competing species under continuous-flow conditions. https://app.cochat.ai/papers/10.1139/m75-013
- The paper
- Taylor, P. A., & Williams, P. J. L. (1975). Theoretical studies on the coexistence of competing species under continuous-flow conditions. Canadian Journal of Microbiology. https://doi.org/10.1139/m75-013
Data sources
Bibliographic data: Semantic Scholar, OpenAlex, Crossref.
Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).
Semantic Scholar’s data is described in: Kinney, R., et al. (2023). The Semantic Scholar Open Data Platform. arXiv:2301.10140.
