Predicting the impacts of harvesting using structured population models: the importance of density‐dependence and timing of harvest for a tropical palm tree

Summary 1 Structured population models are used in a range of forms to predict the long-term behaviour of populations of economic or conservation interest. Such models rarely include density-dependence and do not account explicitly for the ordering of events within a generation. 2 We analysed a model for the harvesting of adults of the edible palm Euterpe edulis in which the role of density-dependence had been clearly defined. We modified the timing of harvesting in relation to the point in the life cycle at which populations were censused. 3 It is shown that the timing, form and intensity of harvesting are all important in determining asymptotic population behaviour. If harvesting affects only those individuals that were recorded as being adults at the start of a year, then the model predicts that all adults may be harvested without population eradication. In contrast, if harvesting also affects individuals moving from the next smaller size class during the course of a year then populations can, under some forms of harvesting, tolerate much lower levels of harvesting. 4 If density-dependence is not taken into consideration, predictions of population responses to harvesting may be erroneous. A review of transition matrices for woody plants indicates that many of these may have been derived from populations subject to strong population regulation. 5 Synthesis and applications. In the specific case of E. edulis our model shows that, although populations appear to be robust to very high levels of harvesting, when modelled as affecting only reproductive adults, this conclusion may be sensitive to varying the timing and form of harvest, and to the assumption that only reproductive individuals are removed. Structure population models used to determine levels of harvesting should account for the existence of density-dependence as well as its timing.

[1]  A. Fantini,et al.  Management and Conservation of Natural Populations in Atlantic Rain Forest: The Case Study of Palm Heart (Euterpe edulis Martius) 1 , 2000 .

[2]  J. Kauffman,et al.  THE EFFECT OF FIRE ON THE POPULATION VIABILITY OF AN ENDANGERED PRAIRIE PLANT , 2001 .

[3]  T. Lennartsson,et al.  Demographic variation and population viability in Gentianella campestris: effects of grassland management and environmental stochasticity , 2001 .

[4]  Thomas Bregnballe,et al.  The interplay between culling and density‐dependence in the great cormorant: a modelling approach , 2001 .

[5]  Palmito sustainability and economics in Brazil's Atlantic coastal forest , 1996 .

[6]  A. Watkinson,et al.  The Fecundity, Seed, and Seedling Ecology of the Edible Palm Euterpe edulis in Southeastern Brazil 1 , 1998 .

[7]  M. Bovi,et al.  Germinação de sementes de palmiteiro. II. , 1976 .

[8]  R. Boot,et al.  Approaches to developing sustainable extraction systems for tropical forest products , 1995 .

[9]  Kyle E. Harms,et al.  Pervasive density-dependent recruitment enhances seedling diversity in a tropical forest , 2000, Nature.

[10]  T. Ebert Plant and Animal Populations: Methods in Demography , 1998 .

[11]  S. Ellner,et al.  SIZE‐SPECIFIC SENSITIVITY: APPLYING A NEW STRUCTURED POPULATION MODEL , 2000 .

[12]  M. Crawley Herbivory: the Dynamics of Animal-plant Interactions , 1984 .

[13]  S. Hubbell,et al.  Strong density- and diversity-related effects help to maintain tree species diversity in a neotropical forest. , 1997, Proceedings of the National Academy of Sciences of the United States of America.

[14]  M. Franco,et al.  Integrating vital rate variability into perturbation analysis: an evaluation for matrix population models of six plant species , 2001 .

[15]  Eric S. Menges,et al.  Interpretation of elasticity matrices as an aid to the management of plant populations for conservation , 1996 .

[16]  M. Bovi,et al.  Seed germination of Euterpe edulis Mart. , 1975 .

[17]  R. Bernal Demography of the vegetable ivory palm Phytelephas seemannii in Colombia, and the impact of seed harvesting , 1998 .

[18]  Wayne M. Getz,et al.  Population harvesting: demographic models of fish, forest, and animal resources. , 1990 .

[19]  R. F. Morris Contemporaneous Mortality Factors in Population Dynamics , 1965, The Canadian Entomologist.

[20]  M. Rees,et al.  Evolution of flowering strategies in Oenothera glazioviana: an integral projection model approach , 2002, Proceedings of the Royal Society of London. Series B: Biological Sciences.

[21]  L. Hunt,et al.  Heterogeneous grazing causes local extinction of edible perennial shrubs: a matrix analysis , 2001 .

[22]  James S. Clark,et al.  Density-independent mortality, density compensation, gap formation, and self-thinning in plant populations , 1992 .

[23]  Hanna Kokko,et al.  Seasonal density dependence, timing of mortality, and sustainable harvesting , 1998 .

[24]  A. Watkinson FACTORS AFFECTING THE DENSITY RESPONSE OF VULPIA FASCICULATA , 1982 .

[25]  R. Freckleton,et al.  THE ROLE OF DENSITY DEPENDENCE IN THE POPULATION DYNAMICS OF A TROPICAL PALM , 1999 .

[26]  P. Zuidema Demography of exploited tree species in the Bolivian Amazon , 2000 .

[27]  S. Ellner,et al.  Stochastic matrix models for conservation and management: A comparative review of methods , 2001 .

[28]  Elena R. Alvarez-Buylla,et al.  Sustainable Harvesting of Tropical Trees: Demography and Matrix Models of Two Palm Species in Mexico , 1995 .

[29]  E. Álvarez-Buylla Density Dependence and Patch Dynamics in Tropical Rain Forests: Matrix Models and Applications to a Tree Species , 1994, The American Naturalist.

[30]  E. Álvarez-Buylla,et al.  DEMOGRAPHIC AND GENETIC MODELS IN CONSERVATION BIOLOGY: Applications and Perspectives for Tropical Rain Forest Tree Species , 1996 .

[31]  M. Galetti,et al.  Palm heart harvesting in the Brazilian Atlantic forest: changes in industry structure and the illegal trade , 1998 .

[32]  P. Holgate,et al.  Matrix Population Models. , 1990 .

[33]  Larry B. Crowder,et al.  A Stage‐Based Population Model for Loggerhead Sea Turtles and Implications for Conservation , 1987 .

[34]  Miguel Franco,et al.  comparative plant demography - relative importance of life-cycle components to the finite rate of increase in woody and herbaceous perennials , 1993 .

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