Revisit Brown Lemming Population Cycles in Alaska: Examination of Stoichiometry
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@Article{IJNAMB-1-93,
author = {H. Wang},
title = {Revisit Brown Lemming Population Cycles in Alaska: Examination of Stoichiometry},
journal = {International Journal of Numerical Analysis Modeling Series B},
year = {2010},
volume = {1},
number = {1},
pages = {93--108},
abstract = {Resource-consumer models have been applied to explain population cycles of small mammals such as brown lemmings in Alaska. All these models only consider food quantity for
small mammals. However, food quality can potentially be a key factor driving the population
cycle. To capture both food quantity and quality in the resource-consumer model, we apply the
newly emerged method “ecological stoichiometry”, which deals with the balance of fundamental
elements in living organisms. A group of stoichiometric models are discussed in this paper for
brown lemmings in Alaska, where food quality is measured by phosphorus and food quantity is
measured by carbon. Within the framework of our models, we define an index to compare the
relative importance of food quality and food quantity. Simulations of this index show that brown
lemming cycles in Alaska are mainly controlled by food quantity. Bifurcation diagrams illustrate
that the cycle period is an increasing function of the nutrient availability but a decreasing function
of the nutrient requirement of lemmings. A striking result arises: high nutrient availability and
small nutrient requirement of lemmings drive the low points of the population cycle to be extremely
small, leading to high probability of lemmings' extinction. However, high nutrient availability and
small nutrient requirement of lemmings should both benefit lemmings. This paradox needs further
examination in theoretical and empirical studies. In addition, we perform sensitivity analysis of
periodicity with respect to all parameters.},
issn = {},
doi = {https://doi.org/},
url = {http://global-sci.org/intro/article_detail/ijnamb/327.html}
}
TY - JOUR
T1 - Revisit Brown Lemming Population Cycles in Alaska: Examination of Stoichiometry
AU - H. Wang
JO - International Journal of Numerical Analysis Modeling Series B
VL - 1
SP - 93
EP - 108
PY - 2010
DA - 2010/01
SN - 1
DO - http://doi.org/
UR - https://global-sci.org/intro/article_detail/ijnamb/327.html
KW - stoichiometry
KW - brown lemmings
KW - population cycle
KW - period
KW - amplitude
KW - bifurcation
KW - sensitivity
KW - phosphorus
KW - carbon
KW - and nutrient
AB - Resource-consumer models have been applied to explain population cycles of small mammals such as brown lemmings in Alaska. All these models only consider food quantity for
small mammals. However, food quality can potentially be a key factor driving the population
cycle. To capture both food quantity and quality in the resource-consumer model, we apply the
newly emerged method “ecological stoichiometry”, which deals with the balance of fundamental
elements in living organisms. A group of stoichiometric models are discussed in this paper for
brown lemmings in Alaska, where food quality is measured by phosphorus and food quantity is
measured by carbon. Within the framework of our models, we define an index to compare the
relative importance of food quality and food quantity. Simulations of this index show that brown
lemming cycles in Alaska are mainly controlled by food quantity. Bifurcation diagrams illustrate
that the cycle period is an increasing function of the nutrient availability but a decreasing function
of the nutrient requirement of lemmings. A striking result arises: high nutrient availability and
small nutrient requirement of lemmings drive the low points of the population cycle to be extremely
small, leading to high probability of lemmings' extinction. However, high nutrient availability and
small nutrient requirement of lemmings should both benefit lemmings. This paradox needs further
examination in theoretical and empirical studies. In addition, we perform sensitivity analysis of
periodicity with respect to all parameters.
H. Wang. (2010). Revisit Brown Lemming Population Cycles in Alaska: Examination of Stoichiometry.
International Journal of Numerical Analysis Modeling Series B. 1 (1).
93-108.
doi:
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