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	Matrix Population Models: Construction, Analysis, and Interpretation (Site not responding. Last check: 2007-10-08)
		Matrix Population Models, Second Edition, is a comprehensive treatment of matrix population models and their applications in ecology and demography.
		The new edition includes greatly expanded treatment of stochastic and density-dependent models, sensitivity analysis, and statistical inference, and new chapters on parameter estimation, structured population models, demographic stochasticity, and applications of matrix models in conservation biology.
		Matrix Population Models, Second Edition, is an indispensable reference for graduate students and researchers in ecology, population biology, conservation biology, and human demography.
	www.textkit.com /0_0878930965.html (498 words)

	Population Index - Volume 55 - Number 3
		This book is concerned with matrix population models and their application to the study of the dynamics of populations when individuals are classified by age, size, or developmental stage.
		It is a textbook intended for the practicing population biologist and emphasizes the construction of models, either from actual data or as an expression of hypotheses about the life cycle, mathematical analysis of the models, and the biological interpretation of the results.
		She postulates that new kinds of econometric models should be developed that take into account economic conditions, quality of life, and demographic phenomena and that demographic models should be constructed so as to be consistent with economic models.
	popindex.princeton.edu /browse/v55/n3/n.html (2888 words)

	ERS 488/688 LABORATORY 2
		Calculate the inverse of the A1:D4 matrix using MINVERSE and show that the result is actually the inverse of the matrix you started with.
		Matrix inversion replaces the notion of scalar division when we are working with matrices.
		That is, we want to multiply the Leslie matrix times the new population vector at each time step, which models the progression of the population through time.
	www.ag.unr.edu /sedinger/Courses/ERS488-688/laboratory%20schedule/ERS%20488lab2.htm (348 words)

	SPATIALLY EXPLICIT POPULATION MODELS: CURRENT FORMS AND FUTURE USES (Site not responding. Last check: 2007-10-08)
		To model population dynamics in real-world landscapes where landscape composition and physiognomy are both likely to be important, one must use a spatially explicit modeling approach that includes the spatial and temporal arrangement of landscape features.
		Population dynamics have been shown to be sensitive to factors such as the pattern of distribution of the habitat types, the habitat-specific birth and death rates, and dispensers' abilities to discriminate habitat patches on the basis of their quality.
		Modelers could seek to explore this question by comparing simulations in which the spatial extent of the landscape map is varied systematically to determine the scale at which the most realistic population dynamics are attained.
	www.szooek.slu.se /~EcoForest/Block3/dunn95.html (5744 words)

	PFRP Protected Species Project - Statistical modeling of Hawaiian albatross populations
		Integrated modeling is based on the combination of likelihoods corresponding to probability models for all relevant observables and parameters as they are linked by an underlying dynamical model (e.g., Hampton and Fournier, 2001).
		Project researchers will then develop a spatially structured Leslie matrix model (Caswell, 2000), that will be used as the core of an integrated model using the Kalman filter and combining likelihoods for the various information sources available.
		A spatially disaggregated, length-based, age-structured population model of yellowfin tuna (Thunnus albacares) in the western and central Pacific Ocean.
	www.soest.hawaii.edu /PFRP/protected_species/goodman.html (853 words)

	Population Ecology - Population transition models
		Understanding the life cycle of the organisms under study is central to the transition model approach of population dynamics.
		This is obviously true for populations of perennial organisms, because their generations overlap.
		A stage-based population model for loggerhead sea turtles and implications for conservation.
	www.bgu.ac.il /desert_agriculture/Popecology/PEtexts/PE-C.htm (1581 words)

	Comparing individual-based to aggregate population models linked to a water resource model
		The classical threshold model supposes that an individual adopts a behaviour according to a trade-off between a social pressure (the number of his neighbours adopting the behaviour) and a personal interest or resistance to change (the threshold).
		Aggregate models have the advantage of shorter computation times and their mathematical form provides theoretical insights on their possible behaviour, before any simulations are performed, or useful elements to explain the results.
		This corresponds to a positive derivative in the aggregate model (this is : a tendency to increase the proportion of A behaviours).
	cfpm.org /m2m/papers/Edwards_et_al_M2M.html (3432 words)

	Stephane's Soft
		Models are described in a text file according to a reduced declaration language, close to the mathematical formulation.
		The program is run with the model file as input and the system can be studied interactively by means of simple commands producing convenient graphics and numerical results.
		Matrix population models applied to viability analysis and conservation: Theory and practice with ULM software.
	www.snv.jussieu.fr /Bio/ulm/ulm.html (237 words)

	Population Models with Random Embryologies as a Paradigm for Evolution
		A model of biological evolution is considered, based on Lotke-Volterra population models (ecological interaction), with mutation being modelled by introducing new species with random ecological connections.
		Most studies of evolution to date have had an externally imposed fitness function whether the models have been analytic in nature [5, 6] or are simulated on a computer as with genetic algorithms [7, 8].
		This latter case of an individual model [9] may well prove important in the study of evolution as classical Darwinism works on variation within the species.
	www.complexity.org.au /ci/vol02/rkspap1/rkspap1.html (2141 words)

	Population Ecology - Population transition matrices
		Applying mathematical matrix theory to the behavior leads to the finding that a population, which is subject to a single matrix A, eventually converges to a stable form.
		One of the most useful features of transition matrix models (which they have in common with other dynamic mathematical models) is the possibility to measure the effect that a change in each one of the vital rates a
		Knowing elasticities of a population is of practical value for management of populations (as conservation or, alternatively, suppression of noxious or undesirable animals or plants).
	www.bgu.ac.il /desert_agriculture/Popecology/PEtexts/PE-D.htm (1497 words)

	[No title]
		Population Ecology -Age structure General objectives and questions addressed Some terms Basics of life table analysis Basics of Projection Matrix approach Basics of Integral Equation Approach Basics of Continuous Age structure PDE approach Survey of recent papers - topic coverage References: Caswell, H. Matrix Population Models.
		Survivorship function - l(x) = Probability of survivorship from birth to age x Vital statistics - birth and death rates of a population Life Table analysis This is a misnomer - a life table provides a schedule of the deaths within a population as a function of age by specifying the survivorship function l(x).
		Basics of projection matrix approach: Define an appropriate age class structure so all inviduals aged from say 0 to L are in age class 1, those aged from L to 2L are in age class 2, etc. For simplicity we assume L=1and that this is also the length of the projection interval.
	www.tiem.utk.edu /~gross/eeb507/popage.txt (462 words)

	Ecology: Fire and population dynamics of woody plants in a neotropical savanna: matrix model projections
		The difficulty in predicting the effects of burning on populations is largely due to the complexity of fire effects.
		Matrix population models are a valuable tool for predicting population responses to burning and for determining which demographic traits are critical for long-term success in frequently burned savannas (Silva et al.
		The impact upon population growth rate also depends upon the sensitivity of the population growth rate to changes in the particular demographic parameter.
	www.findarticles.com /m2120/4_80/54994064/p1/article.jhtml (1439 words)

	Tools for Demographic Analyses
		A demographic model for a population of the endangered Lesser Kestrel in southern Spain. Journal of Applied Ecology 33: 1085-1093.
		Basic.m: For any matrix of values, basic.m will calculate the rate of population change (lambda), the damping ratio (rho), the stable age distribution (w), the reproductive values (v), and the sensitivity (S) and elasticity (E) of each of the cells in the matrix.
		Lower.m: The elements of a population matrix are often expressions that include the product or sum of multiple demographic rates.
	www.ksu.edu /bsanderc/demography/tools.htm (977 words)

	Matrix Population Models: Construction, Analysis, and Interpretation, Second Edition - Sinauer Associates, Inc.
		Matrix Population Models: Construction, Analysis, and Interpretation, Second Edition
		In addition to Matrix Population Models, Dr. Caswell is a coauthor (with S. Tuljapurkar) of Structured Population Models in Marine, Terrestrial and Freshwater Systems (Chapman and Hall, 1997).
		Caswell’s research interests include mathematical ecology, structured population models, stochastic models for spatial processes, conservation of marine mammals and seabirds, plant population ecology, ecotoxicology, and nonlinear dynamics in ecology.
	www.sinauer.com /detail.php?id=0965 (430 words)

	Analysing dynamics of complex ecologies from natural recordings: An application to fish population models
		The difficulty is heightened because ecosystems evolve over very long periods of time and, hence, to characterise their dynamic behaviour, we assume that the system has reached the steady state and it is not on a transient which may not be the case in an important number of ecological systems.
		On one hand we try to link these "simple" models with different patterns found in geological recordings, on the other hand, we are interested in studying the system before human intervention to assess the human impact on the fish ecosystem, if possible.
		This approach is necessary in order to characterise the type of model necessary for developing realistic fish populations dynamical models for interfacing, later on, with fish catches models to create a combined model for the assessment of fish stocks.
	intelligence.jrc.cec.eu.int /poplar/public/iain/fish/index.htm (729 words)

	Matrix Population Models: Construction, Analysis, and Interpretation
		Agent-based models can represent more of the complexity of biological systems at the expense of analytical tractability.
		Matrix population models form a bridge between the two approaches.
		Caswell shows how you can elaborate differential equation models to represent much of the population structure and characteristics of interest within a population.
	www.centrasoft.com /d4/0878930965.htm (325 words)

	POPULATION MODELS BASED ON LONGTERM DEMOGRAPHIC STUDIES OF DOMINANT MUSSELS IN THE MISSISSIPPI AND OHIO RIVERS - NABS ...
		Stage-matrix models (RAMAS software) were developed from longterm demographic studies of dominant mussel populations in the upper Mississippi (Amblema plicata) and lower Ohio (Fusconaia ebena) rivers.
		Extensive records on annual variation in recruitment, size and age structure, and mortality were used to calibrate models such that observed demography was reproduced during model runs.
		Under this scenario, it was possible to determine the number of successful settling juveniles required to maintain populations with different patterns of annual variation in recruitment strength.
	www.benthos.org /database/allnabstracts.cfm/db/lacrosse2001abstracts/id/205 (188 words)

	Asymptotic Behavior of some Interactive Population Flow Models (ResearchIndex) (Site not responding. Last check: 2007-10-08)
		The paper is concerned with Markov chain models for flows of a finite population among a set of groups, where the individuals base their decisions to which group to go next partially on the current frequency distribution (profile).
		For a certain class of these models the transition matrix of the profile process is analyzed algebraically, leading to surprisingly simple asymptotic results.
		Furthermore, in a model with after-effects the absorption probabilities are derived.
	citeseer.lcs.mit.edu /220443.html (362 words)

	Publication: Structured-Population Models (Site not responding. Last check: 2007-10-08)
		His research involves modeling and field studies of physical oceanographic influences on spatially distributed invertebrate populations, studies of endangered salmonids and other fish in rivers and estuaries in the western United States, and studies of the influence of environment and density on California quail.
		Her research, which links empirical studies with mathematical models of the population dynamics of understory plants in tropical forests, focuses on environmental varia tion caused by natural disturbances and plantanimal interactions.
		His field of research is modeling population and community dynamics of terrestrial ecosystems for conservation purposes.
	www.stanford.edu /group/popstudies/Papers/about-pub-evoeco.html (2671 words)

	Conservation Ecology: Morris, W. F., and D. F. Doak. 2003.
		Although one of the quintessential tools of the conservation biologist is population viability analysis (PVA), the field of conservation science has until recently lacked a comprehensive guide to the mechanics of the many varieties of PVA available to the practitioner.
		First, the authors provide a thorough and comprehensive overview of the full gamut of PVA methods, from time series to matrix models and basic to more realistic models that include complex population dynamics.
		This book should be required reading for any Ph.D. student in population or conservation biology and makes a useful reference for field-oriented conservation biologists seeking a detailed overview of the concepts of population viability.
	www.ecologyandsociety.org /vol7/iss2/art2 (1109 words)

	Lab 10: Leslie Matrices
		The Leslie matrix becomes slightly more complicated when you include males (i.e., it incorporates sex-specific survival as well as information on sex ratio at birth).
		The implicit assumption is that life cycles of the sexes are identical or the dynamics of the population are determined by one sex independent of the relative abundance of the other (e.g., there will always be enough males to fertilize the females).
		Population ecology: A unified study of animals and plants.
	www.cnr.uidaho.edu /wlf448/Leslie1.htm (621 words)

	[12-3] Intrinsically dynamic population models
		Intrinsically dynamic models (IDMs) depict populations whose cumulative growth rate over a number of intervals equals the product of the long term growth rates (that is the dominant roots or dominant eigenvalues) associated with each of those intervals.
		The elements of a Leslie matrix are represented as straightforward functions of the roots of the matrix, and new relationships are presented linking the roots of a matrix to its Net Reproduction Rate and stable mean age of childbearing.
		In the Leslie model with 15 year age groups, the constant subordinate root assumption leads to reasonable changes in the age pattern of fertility, and equations (27) and (30) provide the population size and structure that result from changing levels of net reproduction.
	www.demographic-research.org /Volumes/Vol12/3 (244 words)

	The Impact of Density Dependence upon Quasi-Extinction Risk in Markov Chains (Site not responding. Last check: 2007-10-08)
		As should be expected, as you raise the population ceiling, H increases.
		Note that any M with an absorbing state represents an adjacency matrix for a graph that is NOT strongly connected: there is no transition from the 0 state to any other.
		The matrix generated via this code must be transposed to fit the Markov definition of Equations 1 and 2.
	www.jacobwarren.com /2001REU.htm (3427 words)

	Elasticity analysis of matrix population models
		Understanding the effects that changes in one part of an organism's life history have on individual fitness and on population numbers is a key question both in population management and life history evolution.
		However, the standard analysis assumes that population growth is density independent and that the population lives in a constant environment.
		For example, in a density dependent model it is possible for increases in the survival rates of one stage in the life history to produce an overall decrease in population numbers.
	www.uea.ac.uk /~e130/elasres.htm (565 words)

	Population Models of Genomic Imprinting. I. Differential Viability in the Sexes and the Analogy With Genetic Dominance ...
		The model is equivalent to model 6 in
		Model 1 assumes that the maternal allele at an imprinted locus
		equivalent to a model of the paternal inactivation of an X-linked
	www.genetics.org /cgi/content/full/153/4/1949 (4138 words)

	Leslie Model for Predatory Gall-Midge Population (ResearchIndex) (Site not responding. Last check: 2007-10-08)
		Abstract: A Leslie matrix model for predatory gall-midge is constructed.
		From the model we estimate the stable age distribution which is important when the gall-midge is used in biological control.
		18 Theory of population genetics and evolutionary ecology: An i..
	citeseer.ist.psu.edu /384876.html (225 words)

	25martin.htm Age-Specific Population Models (Site not responding. Last check: 2007-10-08)
		The model is examined using spreadsheets, matrices, iteration and exponential regression.
		This module might be used as a lead-in to a discussion of Leslie models for population growth, or as an enrichment project after a discussion of exponential regression.
		Thus, each pair of rabbits will reproduce two times during their lifetime (exactly one pair immediately at the start of each new stage, where "pair" always means one female and one male), at intervals separated by N days, and each new pair of rabbits will go on in a similar fashion.
	www.woodrow.org /teachers/mi/1993/25martin.html (1406 words)

	Extract from DeAngelis and Gross (1992). (Site not responding. Last check: 2007-10-08)
		A major problem in the application of modeling and theory to field research and experimentation in ecology is that mathematical modeling in ecology requires simplifying assumptions, most of which are not compatible with the reality of ecological systems.
		Many classical models in ecology, such as the logistic equation and the Lotka-Volterra equations, assume that all individuals in a population are identical and can be lumped together.
		State variable models without spatial dependence implicitly assume that every member of the population has an equal influence on every other member of the population.
	www.szooek.slu.se /~EcoForest/Block3/deang92.html (425 words)

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