Lunedi' 17 giugno alle 14:45, presso il CNR-IMATI, in via A. Corti,
12, Milano, Aula Pentagonale edificio Bassini II piano, si terrà il
seguente seminario:
Samuele Stivanello, Dipartimento di Matematica, Universita' di
Padova
Title: Ecology of human
activities
Abstract: One of the most studied
macro-ecological pattern is the Relative Species Abundance
(RSA), describing the distribution of the population among
species. Various natural ecosystems share a common shape of the
empirical RSA and through years ecologists have used several
recipes - some of them are rule of thumb prescriptions - to
determine global RSA features from local information. Recently
our group has developed a rigorous statistical framework able to
predict global scale biodiversity from scattered local plots
([2], [3]). Such a framework is derived from a simple
mathematical model informed by basic biological assumptions. In this talk we illustrate how
to adapt/generalize such an approach to human activities. In
particular we consider four datasets of man-made systems and/or
network mediated human activities: e-mail communication, Twitter
posts, Wikipedia articles and Gutenberg books. Once we set the
proper correspondence to what we consider species and
individuals of a species, our approach reveals RSA is scale-free
in each mentioned dataset with a power law form maintained -
with roughly the same exponent - through the different human
activities considered. In turn, RSA scale-invariance allows us
to use activity information on local scale to predict hidden
features of the human dynamics at the global scale. E-mail communication is
particular relevant to illustrate our method as well as our
results and possible applications. We consider the senders’
activity network where each node is a sender and a directed link
from node A to node B represents an email issued from user A to
user B. We set the identity of a sender to identify the species
and the number of sent emails to be the individuals pertaining
to a species. Thus, for instance, if user A has sent n emails we
say that the species A has n individuals. Now, suppose an
observer has access to a small sample of sent emails, or
equivalently to partial information on links and nodes of the
email communication network. Our method is capable to infer the
number of nodes (i.e. the number of users) and the degree
distribution (i.e. the topology) of the whole network, thus
revealing features of the dynamics unknown to the observer.
Moreover, our framework predicts how the number of users grows
with the number of links recorded, which represents another well
known pattern in ecology called the Species-Accumulation Curve
(SAC). These findings may have applications in resource
management, optimal network design and information diffusion on
graphs. This is a
work in collaboration with M. Formentin, A. Tovo and S. Favaro
[1].
[1] M. Formentin, A. Tovo,
S. Stivanello, S. Favaro. Ecology of human activities. In preparation, 2019+.
[2]
A. Tovo, S. Suweis, M. Formentin, M. Favretti, I. Volkov, J.
R. Banavar, S. Azaele, A. Maritan. Upscaling species richness
and abundances in tropical forests. Science Advances 3 (10)
(2017) e1701438.
[3] A. Tovo, M. Formentin,
S. Suweis, S. Stivanello, S. Azaele. A. Maritan. Inferring macro-ecological
patterns from local species’ occurrences. Methods in Ecology and
Evolution, submitted, 2019.