| bibtype |
J -
Journal Article
|
| ARLID |
0444162 |
| utime |
20240103210104.7 |
| mtime |
20150609235959.9 |
| WOS |
000356731300069 |
| SCOPUS |
84934949836 |
| DOI |
10.1073/pnas.1505882112 |
| title
(primary) (eng) |
Sample and population exponents of generalized Taylor’s law |
| specification |
| page_count |
16 s. |
| media_type |
E |
|
| serial |
| ARLID |
cav_un_epca*0257500 |
| ISSN |
0027-8424 |
| title
|
Proceedings of the National Academy of Sciences of the United States of America |
| volume_id |
112 |
| volume |
25 (2015) |
| page_num |
7755-7760 |
| publisher |
| name |
National Academy of Sciences |
|
|
| keyword |
fluctuation scaling |
| keyword |
multiplicative growth |
| keyword |
power law |
| keyword |
environmental stochasticity |
| keyword |
Markovian environment |
| author
(primary) |
| ARLID |
cav_un_auth*0314085 |
| name1 |
Giometto |
| name2 |
A. |
| country |
CH |
| share |
20 |
|
| author
|
| ARLID |
cav_un_auth*0316935 |
| name1 |
Formentin |
| name2 |
Marco |
| full_dept (cz) |
Stochastická informatika |
| full_dept |
Department of Stochastic Informatics |
| department (cz) |
SI |
| department |
SI |
| institution |
UTIA-B |
| full_dept |
Department of Stochastic Informatics |
| share |
20 |
| fullinstit |
Ústav teorie informace a automatizace AV ČR, v. v. i. |
|
| author
|
| ARLID |
cav_un_auth*0317332 |
| name1 |
Rinaldo |
| name2 |
A. |
| country |
CH |
|
| author
|
| ARLID |
cav_un_auth*0317333 |
| name1 |
Cohen |
| name2 |
J. |
| country |
US |
| share |
20 |
|
| author
|
| ARLID |
cav_un_auth*0317334 |
| name1 |
Maritan |
| name2 |
A. |
| country |
IT |
| share |
20 |
|
| source |
|
| cas_special |
| project |
| project_id |
GAP201/12/2613 |
| agency |
GA ČR |
| ARLID |
cav_un_auth*0291241 |
|
| abstract
(eng) |
Taylor’s law (TL) states that the variance V of a nonnegative random variable is a power function of its mean M; i.e., V =aM^b. TL has been verified extensively in ecology, where it applies to population abundance, physics, and other natural sciences. Its ubiquitous empirical verification suggests a context-independent mechanism. Sample exponents b measured empirically via the scaling of sample mean and variance typically cluster around the value b=2. Some theoretical models of population growth, however, predict a broad range of values for the population exponent b pertaining to the mean and variance of population density, depending on details of the growth process. Is the widely reported sample exponent b=2 the result of ecological processes or could it be a statistical artifact? Here, we apply large deviations theory and finite-sample arguments to show exactly that in a broad class of growth models the sample exponent is b=2 regardless of the underlying population exponent. |
| reportyear |
2016 |
| RIV |
BA |
| num_of_auth |
5 |
| inst_support |
RVO:67985556 |
| permalink |
http://hdl.handle.net/11104/0247117 |
| cooperation |
| ARLID |
cav_un_auth*0316939 |
| name |
University of Padova |
| country |
IT |
|
| cooperation |
| ARLID |
cav_un_auth*0316940 |
| name |
École Polytechnique Fédérale de Lausanne |
| country |
CH |
|
| cooperation |
| ARLID |
cav_un_auth*0316941 |
| name |
The Rockefeller University |
| country |
US |
|
| confidential |
S |
| mrcbT16-e |
MULTIDISCIPLINARYSCIENCES |
| mrcbT16-j |
4.682 |
| mrcbT16-s |
6.814 |
| mrcbT16-4 |
Q1 |
| mrcbT16-B |
87.814 |
| mrcbT16-C |
94.444 |
| mrcbT16-D |
Q1 |
| mrcbT16-E |
Q1 |
| arlyear |
2015 |
| mrcbU14 |
84934949836 SCOPUS |
| mrcbU34 |
000356731300069 WOS |
| mrcbU63 |
cav_un_epca*0257500 Proceedings of the National Academy of Sciences of the United States of America 0027-8424 1091-6490 Roč. 112 č. 25 2015 7755 7760 National Academy of Sciences |
|