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A Metapopulation Model with Discrete Size Structure
A METAPOPULATION MODEL WITH DISCRETE SIZE STRUCTURE MAIA MARTCHEVA¤ AND HORST R. THIEME¦ Abstract. We consider a discrete size-structured metapopulation mo- del with the proportions of patches occupied by n individuals as de- pendent variables. Adults are territorial and stay on a certain patch. The juveniles may emigrate to enter a dispersers' pool from which they can settle on another patch and become adults. Absence of coloniza- tion and absence of emigration lead to extinction of the metapopulation. We de¯ne the basic reproduction number R0 of the metapopulation as a measure for its strength of persistence. The metapopulation is uniformly weakly persistent if R0 > 1. We identify subcritical bifurcation of per- sistence equilibria from the extinction equilibrium as a source of multiple persistence equilibria: it occurs, e.g., when the immigration rate (into occupied pathes) exceeds the colonization rate (of empty patches). We determine that the persistence-optimal dispersal strategy which maxi- mizes the basic reproduction number is of bang-bang type: If the number of adults on a patch is below carrying capacity all the juveniles should stay, if it is above the carrying capacity all the juveniles should leave. 1. Introduction A metapopulation is a group of populations of the same species which occupy separate areas (patches) and are connected by dispersal. Each sep- arate population in the metapopulation is referred to as a local population. Metapopulations occur naturally or by human activity as a result of habitat loss and fragmentation. An overview of the empirical evidence for the exis- tence of metapopulation dynamics can be found in [31]. -
Effective Population Size and Genetic Conservation Criteria for Bull Trout
North American Journal of Fisheries Management 21:756±764, 2001 q Copyright by the American Fisheries Society 2001 Effective Population Size and Genetic Conservation Criteria for Bull Trout B. E. RIEMAN* U.S. Department of Agriculture Forest Service, Rocky Mountain Research Station, 316 East Myrtle, Boise, Idaho 83702, USA F. W. A LLENDORF Division of Biological Sciences, University of Montana, Missoula, Montana 59812, USA Abstract.ÐEffective population size (Ne) is an important concept in the management of threatened species like bull trout Salvelinus con¯uentus. General guidelines suggest that effective population sizes of 50 or 500 are essential to minimize inbreeding effects or maintain adaptive genetic variation, respectively. Although Ne strongly depends on census population size, it also depends on demographic and life history characteristics that complicate any estimates. This is an especially dif®cult problem for species like bull trout, which have overlapping generations; biologists may monitor annual population number but lack more detailed information on demographic population structure or life history. We used a generalized, age-structured simulation model to relate Ne to adult numbers under a range of life histories and other conditions characteristic of bull trout populations. Effective population size varied strongly with the effects of the demographic and environmental variation included in our simulations. Our most realistic estimates of Ne were between about 0.5 and 1.0 times the mean number of adults spawning annually. We conclude that cautious long-term management goals for bull trout populations should include an average of at least 1,000 adults spawning each year. Where local populations are too small, managers should seek to conserve a collection of interconnected populations that is at least large enough in total to meet this minimum. -
"Official Gazette of RM", No. 28/04 and 37/07), the Government of the Republic of Montenegro, at Its Meeting Held on ______2007, Enacted This
In accordance with Article 6 paragraph 3 of the FT Law ("Official Gazette of RM", No. 28/04 and 37/07), the Government of the Republic of Montenegro, at its meeting held on ____________ 2007, enacted this DECISION ON CONTROL LIST FOR EXPORT, IMPORT AND TRANSIT OF GOODS Article 1 The goods that are being exported, imported and goods in transit procedure, shall be classified into the forms of export, import and transit, specifically: free export, import and transit and export, import and transit based on a license. The goods referred to in paragraph 1 of this Article were identified in the Control List for Export, Import and Transit of Goods that has been printed together with this Decision and constitutes an integral part hereof (Exhibit 1). Article 2 In the Control List, the goods for which export, import and transit is based on a license, were designated by the abbreviation: “D”, and automatic license were designated by abbreviation “AD”. The goods for which export, import and transit is based on a license designated by the abbreviation “D” and specific number, license is issued by following state authorities: - D1: the goods for which export, import and transit is based on a license issued by the state authority competent for protection of human health - D2: the goods for which export, import and transit is based on a license issued by the state authority competent for animal and plant health protection, if goods are imported, exported or in transit for veterinary or phyto-sanitary purposes - D3: the goods for which export, import and transit is based on a license issued by the state authority competent for environment protection - D4: the goods for which export, import and transit is based on a license issued by the state authority competent for culture. -
Life History Evolution in Response to Changes in Metapopulation
bioRxiv preprint doi: https://doi.org/10.1101/021683; this version posted October 9, 2015. The copyright holder for this preprint (which was not certified by peer review) is the author/funder. All rights reserved. No reuse allowed without permission. 1 Life history evolution in response to changes in metapopulation 2 structure in an arthropod herbivore 3 4 Authors: De Roissart A1, Wybouw N2,3, Renault D 4, Van Leeuwen T2, 3 & Bonte D1,* 5 6 Affiliations: 7 1 Ghent University, Dep. Biology, Terrestrial Ecology Unit, K.L. Ledeganckstraat 35, B-9000 8 Ghent, Belgium 9 2 Ghent University, Dep. Crop Protection, Laboratory of Agrozoology, Coupure Links 653, B- 10 9000 Ghent, Belgium 11 3 University of Amsterdam, Institute for Biodiversity and Ecosystem Dynamics, Science Park 12 904, 1098 XH Amsterdam, the Netherlands 13 4 Université de Rennes 1, UMR 6553 ECOBIO CNRS, Avenue du Gal Leclerc 263, CS 74205, 14 35042 Rennes Cedex, France 15 16 17 *Corresponding author: Dries Bonte, Ghent University, Dep. Biology, Terrestrial Ecology 18 Unit, K.L. Ledeganckstraat 35, B-9000 Ghent, Belgium. Email: [email protected]; tel: 19 0032 9 264 52 13; fax: 0032 9 264 87 94 20 21 E-mail address of the co-authors:[email protected]; [email protected]; 22 [email protected]; [email protected]; [email protected] 23 24 Manuscript type: Standard paper 25 26 Running title: Metapopulation structure and life history evolution 27 28 Key-words: metapopulation-level selection, stochasticity, Tetranychus urticae 29 30 1 bioRxiv preprint doi: https://doi.org/10.1101/021683; this version posted October 9, 2015. -
6 Metapopulations of Butterflies
Case Studies in Ecology and Evolution DRAFT 6 Metapopulations of Butterflies Butterflies inhabit an unpredictable world. Consider the checkerspot butterfly, Melitaea cinxia, also known as the Glanville Fritillary. They depend on specific host plants for larval development. The population size is buffeted by the vagaries of weather, availability of suitable host plants, and random demographic stochasticity in the small patches. The result is that local populations often go extinct when the host plants fail, or when larvae are unable to complete development before the winter. But butterflies also have wings. Even though the checkerspots are not particularly strong flyers (they move a maximum of a couple of kilometers and most individuals remain in their natal patch), butterflies occasionally move from one patch to another. Empty patches are eventually recolonized. So, over a regional scale the total number of butterflies remains nearly constant, despite the constant turnover of local populations. Professor Ilkka Hanski and his students in Finland have been studying the patterns of extinction and recolonization of habitat patches by the checkerspot butterflies for two decades on the small island of Åland in southwestern Finland. The butterflies on Åland can be described as a “metapopulation”, or “population of populations”, connected by migration. In the original formulation by Richard Levins, he imagined a case where each population was short-lived, and the persistence of the system depended on the re-colonization of empty patches by immigrants from other nearby source populations. Thus colonizations and extinctions operate in a dynamic balance that can maintain a species in the landscape of interconnected patches indefinitely. -
Long-Eared Owl Asio Otus Breeding in a Caspian Gull Larus Cachinnans
ORNIS SVECICA 30: 73–78, 2020 | DOI: 10.34080/OS.V30.22033 SHORT COMMUNICATION Received 31 August 2020 | Revised 12 November 2020 | Accepted 24 November 2020 | Published 31 December 2020 Editor: Jonas Hentati-Sundberg Long-eared Owl Asio otus breeding in a Caspian Gull Larus cachinnans colony: Reversed roles in protective nesting association? Hornugglor Asio otus häckande i en koloni med kaspiska trutar Larus cachinnans: Omvända skyddsroller för samhäckare? Klaudia Litwiniak & Marcin Przymencki . Poleska 37/17, 51-354 Wrocław, Poland | [email protected] & [email protected] WE DESCRIBE the event of Long-eared Owls Asio otus nesting on an island within a colony of Caspian Gulls Larus cachinnans at the Mietków Reservoir (SW Poland). The owls nested in an old (possible corvid) nest in a willow and raised two owlets. They probably did not hunt gulls, neither adults nor chicks. We suggest that, in this case, the Long-eared Owls benefitted from breeding within a gull colony because of the added security against predators that the gulls provided. Keywords: breeding association | breeding ecology | gull defense | nesting habitat | predator-free area Introduction The choice of a suitable habitat is presumably the damental needs of breeding adults and young, including result of integration of different habitat patches satisfy- the protection from predators and weather, and also ing the different requirements of individuals (Orians & the proximity to food sources. Because a choice may Wittenberger 1991). Bird nest-sites must meet the fun- enhance reproductive success, the behaviour involved Citation: Litwiniak K & Przymencki M. 2020. Long-eared Owl Asio otus breeding in a Caspian Gull Larus cachinnans colony: Reversed roles in protective nesting association? Ornis Svecica 30: 73–78. -
Metapopulations and Metacommunities: Combining Spatial and Temporal Perspectives in Plant Ecology
Journal of Ecology 2012, 100, 88–103 doi: 10.1111/j.1365-2745.2011.01917.x CENTENARY SYMPOSIUM SPECIAL FEATURE Metapopulations and metacommunities: combining spatial and temporal perspectives in plant ecology Helen M. Alexander1*, Bryan L. Foster1, Ford Ballantyne IV2, Cathy D. Collins3, Janis Antonovics4 and Robert D. Holt5 1Department of Ecology and Evolutionary Biology, University of Kansas, Lawrence, KS 66045-7534, USA; 2Department of Ecology and Evolutionary Biology and Kansas Biological Survey, University of Kansas, Lawrence, KS 66045-7534, USA; 3Department of Biology, Colby College, Waterville, ME 04901-8840, USA; 4Department of Biology, University of Virginia, Charlottesville, VA 22904, USA; and 5Department of Biology, University of Florida, 223 Bartram Hall, P.O. Box 118525, Gainesville, FL 32611-8525, USA Summary 1. Metapopulation and metacommunity theories occupy a central role in ecology, but can be diffi- cult to apply to plants. Challenges include whether seed dispersal is sufficient for population connec- tivity, the role of seed banks and problems with studying colonization and extinction in long-lived and clonal plants. Further, populations often do not occupy discrete habitat patches. Despite these difficulties, we present case studies to illustrate explicit integration of spatial and temporal data in plant ecology. 2. First, on the population level, we focused on two early successional species that lack discrete hab- itat patches. Multi-year data sets taken with a grid approach and simple models permit the analysis of landscape dynamics that reflect regional as well as local processes. Using Silene latifolia,we examined colonization. We found evidence for seed dispersal and connectivity among populations across a large landscape. -
Patch Dynamics and Metapopulation Theory: the Case of Successional Species
Journal of Theoretical Biology (2001) 209 (3): 333-344. http://dx.doi.org/10.1006/jtbi.2001.2269 Patch Dynamics and Metapopulation Theory: The Case of Successional Species a a,b Priyanga Amarasekare and Hugh Possingham a National Center for Ecological Analysis and Synthesis, University of California, Santa Barbara, 735 State Street, Suite 300, Santa Barbara, CA, 93101-5504, U.S.A. b Departments of Zoology and Mathematics, The University of Queensland, St Lucia, QLD 4072, Australia Abstract We present a mathematical framework that combines extinction–colonization dynamics with the dynamics of patch succession. We draw an analogy between the epidemiological categorization of individuals (infected, susceptible, latent and resistant) and the patch structure of a spatially heterogeneous landscape (occupied–suitable, empty–suitable, occupied–unsuitable and empty– unsuitable). This approach allows one to consider life-history attributes that influence persistence in patchy environments (e.g., longevity, colonization ability) in concert with extrinsic processes (e.g., disturbances, succession) that lead to spatial heterogeneity in patch suitability. It also allows the incorporation of seed banks and other dormant life forms, thus broadening patch occupancy dynamics to include sink habitats. We use the model to investigate how equilibrium patch occupancy is influenced by four critical parameters: colonization rate, extinction rate, disturbance frequency and the rate of habitat succession. This analysis leads to general predictions about how the temporal scaling of patch succession and extinction–colonization dynamics influences long- term persistence. We apply the model to herbaceous, early-successional species that inhabit open patches created by periodic disturbances. We predict the minimum disturbance frequency required for viable management of such species in the Florida scrub ecosystem. -
On the Principle of Competitive Exclusion in Metapopulation Models
Appl. Math. Inf. Sci. 9, No. 4, 1739-1752 (2015) 1739 Applied Mathematics & Information Sciences An International Journal http://dx.doi.org/10.12785/amis/090411 On the Principle of Competitive Exclusion in Metapopulation Models Davide Belocchio, Roberto Cavoretto, Giacomo Gimmelli, Alessandro Marchino and Ezio Venturino∗ Dipartimento di Matematica “Giuseppe Peano”, Universita di Torino, via Carlo Alberto 10, 10123 Torino, Italy Received: 12 Oct. 2014, Revised: 12 Jan. 2015, Accepted: 13 Jan. 2015 Published online: 1 Jul. 2015 Abstract: In this paper we present and analyse a simple two populations model with migrations among two different environments. The populations interact by competing for resources. Equilibria are investigated. A proof for the boundedness of the populations is provided. A kind of competitive exclusion principle for metapopulation systems is obtained. At the same time we show that the competitive exclusion principle at the local patch level may be prevented to hold by the migration phenomenon, i.e. two competing populations may coexist, provided that only one of them is allowed to freely move or that migrations for both occur just in one direction. Keywords: populations, competition, migrations, patches, competitive exclusion 1 Introduction metapopulation concept becomes essential to describe the natural interactions. This paper attempts the development In this paper we consider a minimal metapopulation of such an issue in this framework. Note that another model with two competing populations. It consists of two recent contribution in the context of patchy environments different environments among which migrations are considers also a transmissible disease affecting the allowed. populations, thereby introducing the concept of As migrations do occur indeed in nature, [6], the metaecoepidemic models, [30]. -
• Checklist of the Birds of Goa • Baltic Gull Indian BIRDS Indian BIRDS Vol
VOL. 14 NO. 1 | Vol. 14 No. 1 14 | Vol. • Checklist of the birds of Goa • Baltic Gull BIRDS Indian Indian BIRDS www.indianbirds.in VOL. 14 NO. 1 DATE OF PUBLICATION: 7 JANUARY 2018 ISSN 0973-1407 EDITOR: Aasheesh Pittie [email protected] CONTENTS ASSOCIATE EDITORS: V. Santharam, Praveen J. EDITORIAL BOARD Maan Barua, Anwaruddin Choudhury Bill Harvey, Farah Ishtiaq, Rajah Jayapal, Girish Jathar Ragupathy Kannan, Madhusudan Katti 1 A checklist of the birds of Goa, India R. Suresh Kumar, Taej Mundkur, Rishad Naoroji Pronoy Baidya & Mandar Bhagat Prasad Ganpule, Suhel Quader Harkirat Singh Sangha, C. Sashikumar Manoj Sharma, S. Subramanya, K. S. Gopi Sundar 32 The Baltic Gull Larus fuscus fuscus in Goa: An addition to the Indian avifauna David Williams & Martin Gottschling LAYOUT & COVER DESIGN: ShreeDesigns OffICE: P. Rambabu NEW ORNIS FOUNDATION Registration No. 314/2004 FOUNDER TRUSTEES Zafar Futehally (1920–2013) Aasheesh Pittie, V. Santharam TRUSTEES Aasheesh Pittie, V. Santharam, Rishad Naoroji, Taej Mundkur, S. Subramanya, Suhel Quader, Praveen J. AIMS & OBJECTIVES • To publish a newsletter that will provide a platform to birdwatchers for publishing notes and observations primarily on birds of South Asia. • To promote awareness of birdwatching amongst the general public. • To establish and maintain links/liaison with other associations or organized bodies in India or abroad whose objectives are in keeping with the objectives of the Trust (i.e. to support amateur birdwatchers with cash / kind for projects in ornithology). Volume 13 onwards Indian BIRDS is only available as PDFs on www.indianbirds.in. Both, individual papers, and entire issues can be downloaded free of cost. -
Species Included in Categories A, B & C Scientific
Species included in categories A, B & C Scientific name Race Category 1 Mute Swan Cygnus olor -- A / C1 2 Bewick’s Swan Cygnus columbianus bewickii A >> Tundra Swan columbianus -- 3 Whooper Swan Cygnus cygnus -- A 4 Bean Goose Anser fabalis fabilis A >> Tundra Bean Goose rossicus -- 5 Pink-footed Goose Anser brachyrhynchus -- A 6 White-fronted Goose Anser albifrons flavirostris A >> Russian White-fronted Goose albifrons -- 7 Lesser White-fronted Goose Anser erythropus -- A 8 Greylag Goose Anser anser anser A / C1 9 Snow Goose Anser caerulescens caerulescens A / D1 >> Greater Snow Goose atlanticus -- 10 Cackling Goose Branta hutchinsii hutchinsii A 11 Canada Goose Branta canadensis canadensis A / C1 >> Todd's Canada Goose interior -- 12 Barnacle Goose Branta leucopsis -- A / C1 13 Brent Goose Branta bernicla hrota A >> Dark-bellied Brent Goose bernicla -- >> Black Brant nigricans -- 14 Ruddy Shelduck Tadorna ferruginea -- B / D1 15 Shelduck Tadorna tadorna -- A 16 Mandarin Duck Aix galericulata -- C1 17 Wigeon Anas penelope -- A 18 American Wigeon Anas americana -- A 19 Gadwall Anas strepera -- A 20 Baikal Teal Anas formosa -- A / D1 21 Teal Anas crecca crecca A 22 Green-winged Teal Anas carolinensis -- A 23 Mallard Anas platyrhynchos platyrhynchos A / C1 24 American Black Duck Anas rubripes -- A 25 Pintail Anas acuta acuta A 26 Garganey Anas querquedula -- A 27 Blue-winged Teal Anas discors -- A 28 Shoveler Anas clypeata -- A 29 Red-crested Pochard Netta rufina -- A 30 Pochard Aythya ferina -- A 31 Redhead Aythya americana -- A 32 Ring-necked -
Nf(N) , Lecture 8. Spatially-Structured Populations. Reading: Go
FW662 Lecture 8 – Spatially-structured populations 1 Lecture 8. Spatially-structured populations. Reading: Gotelli, 2001, A Primer of Ecology, Chapter 4, pages 81-97. Hanski, I. 1996. Metapopulation ecology. Pages 13-43 in Rhodes, O. E., Jr., R. K. Chesser, and M. H. Smith (eds.). Population dynamics in ecological space and time. University Chicago Press, Chicago, Illinois, USA. Pulliam, H. R. 1996. Sources and sinks: empirical evidence and population consequences. Pages 45-69 in Rhodes, O. E., Jr., R. K. Chesser, and M. H. Smith (eds.). Population dynamics in ecological space and time. University Chicago Press, Chicago, Illinois, USA. Optional: Gilpin, M. E. 1987. Spatial structure and population vulnerability. Pages 125-139 in M. E. Soulé, ed. Viable Populations for Conservation. Cambridge University Press, New York, New York, USA. 189 pp. Kareiva, P. 1990. Population dynamics in spatially complex environments: theory and data. Pages 53-68 in Population Regulation and Dynamics, M. P. Hassell and R. M. May, eds. The Royal Society, London, United Kingdom. Traditional View of Populations Panmictic -- no selective mating. Frequency of genes in the population follows Hardy- Weinberg equilibrium. Equilibrium -- population reaches a carrying capacity. Extinction dependent on N. Homogeneous environment/habitat -- no spatial heterogeneity. Individuals equal (no heterogeneity of individuals). We have relaxed some of these assumptions in previous models: stochastic models, age- structured models. However, basically, previous models have been "traditional". Difficulty of incorporating spatial extension into population models Difficult to keep track of locations of organisms in field studies Computational problems of dealing with space in a theoretical manner are formidable, requiring computer models Spatial patterns in populations Traditional approach is a diffusion equation.