| Title |
Sustainability and Substitutability
|
|---|---|
| Published in |
Bulletin of Mathematical Biology, May 2014
|
| DOI | 10.1007/s11538-014-9963-5 |
| Pubmed ID | |
| Authors |
Eli P. Fenichel, Jinhua Zhao |
| Abstract |
Developing a quantitative science of sustainability requires bridging mathematical concepts from fields contributing to sustainability science. The concept of substitutability is central to sustainability but is defined differently by different fields. Specifically, economics tends to define substitutability as a marginal concept while fields such as ecology tend to focus on limiting behaviors. We explain how to reconcile these different views. We develop a model where investments can be made in knowledge to increase the elasticity of substitution. We explore the set of sustainable and optimal trajectories for natural capital extraction and built and knowledge capital accumulation. Investments in substitutability through knowledge stock accumulation affect the value of natural capital. Results suggest that investing in the knowledge stock, which can enhance substitutability, is critical to desirable sustainable outcomes. This result is robust even when natural capital is not managed optimally. This leads us to conclude that investments in the knowledge stock are of first order importance for sustainability. |
X Demographics
The data shown below were collected from the profile of 1 X user who shared this research output. Click here to find out more about how the information was compiled.
Geographical breakdown
| Country | Count | As % |
|---|---|---|
| Unknown | 1 | 100% |
Demographic breakdown
| Type | Count | As % |
|---|---|---|
| Scientists | 1 | 100% |
Mendeley readers
The data shown below were compiled from readership statistics for 46 Mendeley readers of this research output. Click here to see the associated Mendeley record.
Geographical breakdown
| Country | Count | As % |
|---|---|---|
| United States | 1 | 2% |
| Germany | 1 | 2% |
| Unknown | 44 | 96% |
Demographic breakdown
| Readers by professional status | Count | As % |
|---|---|---|
| Student > Ph. D. Student | 6 | 13% |
| Student > Master | 6 | 13% |
| Researcher | 5 | 11% |
| Student > Bachelor | 4 | 9% |
| Professor | 4 | 9% |
| Other | 9 | 20% |
| Unknown | 12 | 26% |
| Readers by discipline | Count | As % |
|---|---|---|
| Environmental Science | 14 | 30% |
| Agricultural and Biological Sciences | 4 | 9% |
| Economics, Econometrics and Finance | 4 | 9% |
| Mathematics | 2 | 4% |
| Engineering | 2 | 4% |
| Other | 4 | 9% |
| Unknown | 16 | 35% |
Attention Score in Context
This research output has an Altmetric Attention Score of 1. This is our high-level measure of the quality and quantity of online attention that it has received. This Attention Score, as well as the ranking and number of research outputs shown below, was calculated when the research output was last mentioned on 03 May 2014.
All research outputs
#15,300,431
of 22,755,127 outputs
Outputs from Bulletin of Mathematical Biology
#721
of 1,093 outputs
Outputs of similar age
#134,297
of 227,852 outputs
Outputs of similar age from Bulletin of Mathematical Biology
#5
of 8 outputs
Altmetric has tracked 22,755,127 research outputs across all sources so far. This one is in the 22nd percentile – i.e., 22% of other outputs scored the same or lower than it.
So far Altmetric has tracked 1,093 research outputs from this source. They receive a mean Attention Score of 4.7. This one is in the 22nd percentile – i.e., 22% of its peers scored the same or lower than it.
Older research outputs will score higher simply because they've had more time to accumulate mentions. To account for age we can compare this Altmetric Attention Score to the 227,852 tracked outputs that were published within six weeks on either side of this one in any source. This one is in the 31st percentile – i.e., 31% of its contemporaries scored the same or lower than it.
We're also able to compare this research output to 8 others from the same source and published within six weeks on either side of this one. This one has scored higher than 3 of them.