Exhaustion of resources: a marked temporal process framework

Roy Cerqueti

doi:10.1007/s00477-013-0798-7

Exhaustion of resources: a marked temporal process framework

Roy Cerqueti

Research output: Contribution to journal › Article › peer-review

8 Citations (Scopus)

Abstract

This paper deals with the exhaustion of a replenishable resource, one of the main topics in environmental research. To examine this problem, we construct a mechanism to estimate the probability of depletion under a very small set of assumptions. The stock of the resource is assumed to evolve accordingly to a marked temporal process generated by the shocks occurring in the environment. Our setting is eminently theoretical, and constitutes an effective extension of some important models of stochastic growth regarding sustainability and ruin analysis. Furthermore, the validity of the model is supported through the evidence relative to the paradigmatic cases of water resource planning and oil reserves.

Original language	English
Pages (from-to)	1023-1033
Journal	Stochastic Environmental Research and Risk Assessment
DOIs	https://doi.org/10.1007/s00477-013-0798-7
Publication status	Published - May 2014
Externally published	Yes

Keywords

Spatial Mixed Poisson Process
Sustainability
Stochastic growth
Resource exhaustion

Access to Document

10.1007/s00477-013-0798-7Licence: CC BY 4.0

Cite this

@article{f2598f4b4fa5464ab2ae1ec3a62a2966,

title = "Exhaustion of resources: a marked temporal process framework",

abstract = "This paper deals with the exhaustion of a replenishable resource, one of the main topics in environmental research. To examine this problem, we construct a mechanism to estimate the probability of depletion under a very small set of assumptions. The stock of the resource is assumed to evolve accordingly to a marked temporal process generated by the shocks occurring in the environment. Our setting is eminently theoretical, and constitutes an effective extension of some important models of stochastic growth regarding sustainability and ruin analysis. Furthermore, the validity of the model is supported through the evidence relative to the paradigmatic cases of water resource planning and oil reserves.",

keywords = "Spatial Mixed Poisson Process, Sustainability, Stochastic growth, Resource exhaustion",

author = "Roy Cerqueti",

year = "2014",

month = may,

doi = "10.1007/s00477-013-0798-7",

language = "English",

pages = "1023--1033",

}

TY - JOUR

T1 - Exhaustion of resources: a marked temporal process framework

AU - Cerqueti, Roy

PY - 2014/5

Y1 - 2014/5

N2 - This paper deals with the exhaustion of a replenishable resource, one of the main topics in environmental research. To examine this problem, we construct a mechanism to estimate the probability of depletion under a very small set of assumptions. The stock of the resource is assumed to evolve accordingly to a marked temporal process generated by the shocks occurring in the environment. Our setting is eminently theoretical, and constitutes an effective extension of some important models of stochastic growth regarding sustainability and ruin analysis. Furthermore, the validity of the model is supported through the evidence relative to the paradigmatic cases of water resource planning and oil reserves.

AB - This paper deals with the exhaustion of a replenishable resource, one of the main topics in environmental research. To examine this problem, we construct a mechanism to estimate the probability of depletion under a very small set of assumptions. The stock of the resource is assumed to evolve accordingly to a marked temporal process generated by the shocks occurring in the environment. Our setting is eminently theoretical, and constitutes an effective extension of some important models of stochastic growth regarding sustainability and ruin analysis. Furthermore, the validity of the model is supported through the evidence relative to the paradigmatic cases of water resource planning and oil reserves.

KW - Spatial Mixed Poisson Process

KW - Sustainability

KW - Stochastic growth

KW - Resource exhaustion

U2 - 10.1007/s00477-013-0798-7

DO - 10.1007/s00477-013-0798-7

M3 - Article

SN - 1436-3240

SP - 1023

EP - 1033

JO - Stochastic Environmental Research and Risk Assessment

JF - Stochastic Environmental Research and Risk Assessment

ER -

Exhaustion of resources: a marked temporal process framework

Abstract

Keywords

Access to Document

Other files and links

Fingerprint

Cite this