Population Momentum: Implications for Wildlife Management

Abstract Maintenance of sustainable wildlife populations is one of the primary purposes of wildlife management. Thus, it is important to monitor and manage population growth over time. Sensitivity analysis of the long-term (i.e., asymptotic) population growth rate to changes in the vital rates is commonly used in management to identify the vital rates that contribute most to population growth. Yet, dynamics associated with the long-term population growth rate only pertain to the special case when there is a stable age (or stage) distribution of individuals in the population. Frequently, this assumption is necessary because age structure is rarely estimated. However, management actions can greatly affect the age distribution of a population. For initially growing and declining populations, we instituted hypothetical management targeted at halting the growth or decline of the population, and measured the effects of a changing age structure on the population dynamics. When we changed vital rates, the age structure became unstable and population momentum caused populations to grow differently than that predicted by the long-term population growth rate. Interestingly, changes in fertility actually reversed the direction of short-term population growth, leading to long-term population sizes that were actually smaller or larger than that when fertility was changed. Population momentum can significantly affect population dynamics and will be an important factor in the use of population models for management.

[1]  Michael J. Wisdom,et al.  Life Stage Simulation Analysis: Estimating Vital-Rate Effects on Population Growth for Conservation , 2000 .

[2]  Hal Caswell,et al.  Pod-specific demography of killer whales(Orcinus orca). , 1993 .

[3]  H. Kroon,et al.  ELASTICITIES: A REVIEW OF METHODS AND MODEL LIMITATIONS , 2000 .

[4]  Michael J. Wisdom,et al.  Elasticity Analysis for Conservation Decision Making: Reply to Ehrlén et al. , 2001 .

[5]  James E. Hines,et al.  Population dynamics of the California Spotted Owl (Strix occidentalis occidentalis): a meta-analysis , 2004 .

[6]  M. Oli,et al.  The Relative Importance of Life‐History Variables to Population Growth Rate in Mammals: Cole’s Prediction Revisited , 2003, The American Naturalist.

[7]  L. Crowder,et al.  LIFE HISTORIES AND ELASTICITY PATTERNS: PERTURBATION ANALYSIS FOR SPECIES WITH MINIMAL DEMOGRAPHIC DATA , 2000 .

[8]  A. Grant,et al.  Elasticity analysis as an important tool in evolutionary and population ecology. , 1999, Trends in ecology & evolution.

[9]  B. Sæther Pattern of covariation between life-history traits of European birds , 1988, Nature.

[10]  S. Tuljapurkar Population dynamics in variable environments. VI. Cyclical environments. , 1985, Theoretical population biology.

[11]  H. Caswell,et al.  A general formula for the sensitivity of population growth rate to changes in life history parameters. , 1978, Theoretical population biology.

[12]  Johan Ehrlén,et al.  Reliability of Elasticity Analysis: Reply to Mills et al. , 2001 .

[13]  Paulette Bierzychudek,et al.  LOOKING BACKWARDS: ASSESSING THE PROJECTIONS OF A TRANSITION MATRIX MODEL , 1999 .

[14]  Nan Li,et al.  Population momentum for gradual demographic transitions. , 1999 .

[15]  E. Cooch,et al.  Time to reduction: factors influencing management efficacy in sterilizing overabundant white-tailed deer , 2003 .

[16]  I. J. Ball,et al.  Sensitivity analyses of the life cycle of midcontinent mallards , 2002 .

[17]  Michael J. Wisdom,et al.  Reliability of Conservation Actions Based on Elasticity Analysis of Matrix Models , 1999 .

[18]  Selina S. Heppell,et al.  Application of Life-History Theory and Population Model Analysis to Turtle Conservation , 1998 .

[19]  H. Caswell,et al.  The Relative 'Importance' of Life-History Stages to Population Growth: Prospective and Retrospective Analyses , 1997 .

[20]  T. Clutton‐Brock,et al.  The demographic consequences of releasing a population of red deer from culling , 2004 .

[21]  M. Oli,et al.  The Demographic Basis of Population Regulation in Columbian Ground Squirrels , 2001, The American Naturalist.

[22]  Larry B. Crowder,et al.  Predicting the impact of Turtle Excluder Devices on loggerhead sea turtle populations , 1994 .

[23]  H. Caswell PROSPECTIVE AND RETROSPECTIVE PERTURBATION ANALYSES: THEIR ROLES IN CONSERVATION BIOLOGY , 2000 .

[24]  T. Clutton‐Brock,et al.  Comparative ungulate dynamics: the devil is in the detail. , 2002, Philosophical transactions of the Royal Society of London. Series B, Biological sciences.

[25]  Hal Caswell,et al.  Demography of the endangered North Atlantic right whale , 2001, Nature.

[26]  William A. Link,et al.  SCALING IN SENSITIVITY ANALYSIS , 2002 .

[27]  Hal Caswell,et al.  Elasticity: The Relative Contribution of Demographic Parameters to Population Growth Rate , 1986 .

[28]  J. Gurevitch,et al.  Population Numbers Count: Tools for Near‐Term Demographic Analysis , 2000, The American Naturalist.

[29]  B. Sæther,et al.  AVIAN LIFE HISTORY VARIATION AND CONTRIBUTION OF DEMOGRAPHIC TRAITS TO THE POPULATION GROWTH RATE , 2000 .

[30]  Paul H. Harvey,et al.  Living fast and dying young: A comparative analysis of life‐history variation among mammals , 1990 .

[31]  Jonathan M. Yearsley Transient population dynamics and short-term sensitivity analysis of matrix population models , 2004 .

[32]  M. Wisdom,et al.  Sensitivity analysis to guide population recovery : Prairie-chickens as an example , 1997 .

[33]  Peter Kareiva,et al.  Modeling Population Viability for the Desert Tortoise in the Western Mojave Desert , 1994 .

[34]  H. Caswell,et al.  Transient dynamics and pattern formation: reactivity is necessary for Turing instabilities. , 2002, Mathematical biosciences.

[35]  Hans de Kroon,et al.  Elasticity Analysis in Population Biology: Methods and Applications1 , 2000 .

[36]  M. Gilpin,et al.  Minimum viable populations : Processes of species extinction , 1986 .

[37]  J. Gaillard,et al.  An analysis of demographic tactics in birds and mammals , 1989 .