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1

HANSKI, ILKKA, and IAN W.OIWOD. "Delayed density-dependence." Nature 350, no. 6313 (1991): 28. http://dx.doi.org/10.1038/350028a0.

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2

Berryman, Alan, and Peter Turchin. "DETECTION OF DELAYED DENSITY DEPENDENCE: COMMENT." Ecology 78, no. 1 (1997): 318–20. http://dx.doi.org/10.1890/0012-9658(1997)078[0318:dodddc]2.0.co;2.

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3

Williams, David W., and Andrew M. Liebhold. "DETECTION OF DELAYED DENSITY DEPENDENCE: REPLY." Ecology 78, no. 1 (1997): 320–22. http://dx.doi.org/10.1890/0012-9658(1997)078[0320:dodddr]2.0.co;2.

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4

Holyoak, Marcel. "Identifying Delayed Density Dependence in Time-Series Data." Oikos 70, no. 2 (1994): 296. http://dx.doi.org/10.2307/3545641.

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5

Hornfeldt, Birger. "Delayed Density Dependence as a Determinant of Vole Cycles." Ecology 75, no. 3 (1994): 791–806. http://dx.doi.org/10.2307/1941735.

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6

Solow, Andrew R. "OBSERVATION ERROR AND THE DETECTION OF DELAYED DENSITY DEPENDENCE." Ecology 82, no. 11 (2001): 3263–64. http://dx.doi.org/10.1890/0012-9658(2001)082[3263:oeatdo]2.0.co;2.

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7

Gillman, M. P., and M. Dodd. "Detection of delayed density dependence in an orchid population." Journal of Ecology 88, no. 2 (2000): 204–12. http://dx.doi.org/10.1046/j.1365-2745.2000.00440.x.

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8

Неверова, Г. П., and G. P. Neverova. "Dynamic Regimes of Local Homogeneous Population with Delayed Density Dependence." Mathematical Biology and Bioinformatics 10, no. 2 (2015): 309–24. http://dx.doi.org/10.17537/2015.10.309.

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It is researched a model of limited homogeneous population size. It is assumed that there is delayed density dependence. It is made the analytical and numerical investigation of the model with different time lag. It is shown there it is the phenomenon of multiregimism. This phenomenon consists in the existence of various dynamic regimes under the same values of parameters. This effect arises in the model that simultaneously possesses several different limit regimes: stable state, regular fluctuations, and chaotic attractor. The research results show if present population dynamics substantially
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9

Jiang, Lin, and Nan Shao. "AUTOCORRELATED EXOGENOUS FACTORS AND THE DETECTION OF DELAYED DENSITY DEPENDENCE." Ecology 84, no. 8 (2003): 2208–13. http://dx.doi.org/10.1890/02-0557.

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10

Liz, Eduardo, Victor Tkachenko, and Sergei Trofımchuk. "Global stability in discrete population models with delayed-density dependence." Mathematical Biosciences 199, no. 1 (2006): 26–37. http://dx.doi.org/10.1016/j.mbs.2005.03.016.

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11

Gonzalez-Andujar, Fernandez-Quintanilla, and Navarrete. "Population Cycles Produced by Delayed Density Dependence in an Annual Plant." American Naturalist 168, no. 3 (2006): 318. http://dx.doi.org/10.2307/3844690.

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12

Crone, Elizabeth E. "Delayed Density Dependence and the Stability of Interacting Populations and Subpopulations." Theoretical Population Biology 51, no. 1 (1997): 67–76. http://dx.doi.org/10.1006/tpbi.1997.1309.

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13

Gonzalez‐Andujar, J. L., C. Fernandez‐Quintanilla, and L. Navarrete. "Population Cycles Produced by Delayed Density Dependence in an Annual Plant." American Naturalist 168, no. 3 (2006): 318–22. http://dx.doi.org/10.1086/506915.

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14

HUNTER, MARK D., and PETER W. PRICE. "Cycles in insect populations: delayed density dependence or exogenous driving variables?" Ecological Entomology 23, no. 2 (1998): 216–22. http://dx.doi.org/10.1046/j.1365-2311.1998.00123.x.

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15

Williams, David W., and Andrew M. Liebhold. "Detection of Delayed Density Dependence: Effects of Autocorrelation in an Exogenous Factor." Ecology 76, no. 3 (1995): 1005–8. http://dx.doi.org/10.2307/1939363.

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16

Hunter, Mark D., and Peter W. Price. "Detecting cycles and delayed density dependence: a reply to Turchin and Berryman." Ecological Entomology 25, no. 1 (2000): 122–24. http://dx.doi.org/10.1046/j.1365-2311.2000.00250.x.

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17

Bastille-Rousseau, Guillaume, James A. Schaefer, Shane P. Mahoney, and Dennis L. Murray. "Population decline in semi-migratory caribou (Rangifer tarandus): intrinsic or extrinsic drivers?" Canadian Journal of Zoology 91, no. 11 (2013): 820–28. http://dx.doi.org/10.1139/cjz-2013-0154.

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Many populations of caribou (Rangifer tarandus (L., 1758)) across North America, including Newfoundland, are in a state of decline. This phenomenon may reflect continental-scale changes in either the extrinsic or the intrinsic factors affecting caribou abundance. We hypothesized that caribou decline reflected marked resource limitation and predicted that fluctuations should correspond to time-delayed density dependence associated with a decline in range quality and decadal trends in winter severity. By conducting time-series analysis using 12 populations and evaluating correlations between car
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18

Turchin, Peter, and Alan A. Berryman. "Detecting cycles and delayed density dependence: a comment on Hunter & Price (1998 )." Ecological Entomology 25, no. 1 (2000): 119–21. http://dx.doi.org/10.1046/j.1365-2311.2000.00228.x.

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19

Capurro, Angel F., Marino Gatto, and Guido Tosi. "Delayed and inverse density dependence in a chamois population of the Italian Alps." Ecography 20, no. 1 (1997): 37–47. http://dx.doi.org/10.1111/j.1600-0587.1997.tb00345.x.

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20

Myers, R. A., M. J. Bradford, J. M. Bridson, and G. Mertz. "Estimating delayed density-dependent mortality in sockeye salmon (Oncorhynchus nerka): a meta-analytic approach." Canadian Journal of Fisheries and Aquatic Sciences 54, no. 10 (1997): 2449–62. http://dx.doi.org/10.1139/f97-146.

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Delayed density-dependent mortality can be a cause of the cyclic patterns in abundance observed in many populations of sockeye salmon (Oncorhynchus nerka). We used a meta-analytical approach to test for delayed density dependence using 34 time series of sockeye data. We found no consistent evidence for delayed density-dependent mortality using spawner - spring fry or spawner-recruit data. We did find evidence for delayed density-dependent mortality at a 1 year lag for the spawner - fall fry and the spawner-smolt data; however, effects at lags greater than 1 year were weak and not statistically
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21

Jiang, Lin, and Nan Shao. "Red environmental noise and the appearance of delayed density dependence in age–structured populations." Proceedings of the Royal Society of London. Series B: Biological Sciences 271, no. 1543 (2004): 1059–64. http://dx.doi.org/10.1098/rspb.2004.2689.

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22

Walsh, Rachael K., Caitlin Bradley, Charles S. Apperson, and Fred Gould. "An Experimental Field Study of Delayed Density Dependence in Natural Populations of Aedes albopictus." PLoS ONE 7, no. 4 (2012): e35959. http://dx.doi.org/10.1371/journal.pone.0035959.

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23

Su, Ying, Junjie Wei, and Junping Shi. "Hopf Bifurcation in a Diffusive Logistic Equation with Mixed Delayed and Instantaneous Density Dependence." Journal of Dynamics and Differential Equations 24, no. 4 (2012): 897–925. http://dx.doi.org/10.1007/s10884-012-9268-z.

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24

Yan, Xiangping, and Junping Shi. "Stability Switches in a Logistic Population Model with Mixed Instantaneous and Delayed Density Dependence." Journal of Dynamics and Differential Equations 29, no. 1 (2015): 113–30. http://dx.doi.org/10.1007/s10884-015-9432-3.

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25

Lande, R., S. Engen, and B. –E Sæther. "Estimating density dependence in time–series of age–structured populations." Philosophical Transactions of the Royal Society of London. Series B: Biological Sciences 357, no. 1425 (2002): 1179–84. http://dx.doi.org/10.1098/rstb.2002.1120.

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For a life history with age at maturity α, and stochasticity and density dependence in adult recruitment and mortality, we derive a linearized autoregressive equation with time–lags of from 1 to α years. Contrary to current interpretations, the coefficients for different time–lags in the autoregressive dynamics do not simply measure delayed density dependence, but also depend on life–history parameters. We define a new measure of total density dependence in a life history, D , as the negative elasticity of population growth rate per generation with respect to change in population size, D = –∂l
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26

Plaistow, S. J., and T. G. Benton. "The influence of context-dependent maternal effects on population dynamics: an experimental test." Philosophical Transactions of the Royal Society B: Biological Sciences 364, no. 1520 (2009): 1049–58. http://dx.doi.org/10.1098/rstb.2008.0251.

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Parental effects arise when either the maternal or paternal phenotype influences the phenotypes of subsequent generations. Simple analytical models assume maternal effects are a mechanism creating delayed density dependence. Such models predict that maternal effects can very easily lead to population cycles. Despite this, unambiguous maternal-effect mediated cycles have not been demonstrated in any system. Additionally, much evidence has arisen to invalidate the underlying assumption that there is a simple positive correlation between maternal performance and offspring performance. A key issue
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27

Walsh, Rachael K., Fred Gould, Alun L. Lloyd, et al. "Regulation of Aedes aegypti Population Dynamics in Field Systems: Quantifying Direct and Delayed Density Dependence." American Journal of Tropical Medicine and Hygiene 89, no. 1 (2013): 68–77. http://dx.doi.org/10.4269/ajtmh.12-0378.

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28

Wikan, Arild. "An Analysis of a Semelparous Population Model with Density-Dependent Fecundity and Density-Dependent Survival Probabilities." Journal of Applied Mathematics 2017 (2017): 1–14. http://dx.doi.org/10.1155/2017/8934295.

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A discrete age-structured semelparous Leslie matrix model where density dependence is included both in the fecundity and in the survival probabilities is analysed. Depending on strength of density dependence, we show in the precocious semelparous case that the nonstationary dynamics may indeed be rich, ranging from SYC (a dynamical state where the whole population is in one age class only) dynamics to cycles of low period where all age classes are populated. Quasiperiodic and chaotic dynamics have also been identified. Moreover, outside parameter regions where SYC dynamics dominates, we prove
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29

Waldron, Gareth J., Stefan B. Sigurdsson, Ernesto A. Aiello, Andrew J. Halayko, Newman L. Stephens, and William C. Cole. "Delayed rectifier K+ current of dog bronchial myocytes: effect of pollen sensitization and PKC activation." American Journal of Physiology-Lung Cellular and Molecular Physiology 275, no. 2 (1998): L336—L347. http://dx.doi.org/10.1152/ajplung.1998.275.2.l336.

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The properties of delayed rectifier K+ current [ I K(dr)] of canine airway smooth muscle cells isolated from small bronchi and its modulation by protein kinase C (PKC) were studied by whole cell patch clamp. I K(dr) activated positive to −40 mV, with half-maximal activation at −16 ± 1.2 mV ( n = 15) and average current density of 31 ± 2.6 pA/pF ( n = 15) at +30 mV. The capacitive surface area, current density, and voltage dependence of activation of I K(dr) of myocytes of ragweed pollen-sensitized dogs were not different from age-matched control dogs. However, the sensitization reduced the ava
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30

Li, Haiyin, Gang Meng, and Zhikun She. "Stability and Hopf Bifurcation of a Delayed Density-Dependent Predator–Prey System with Beddington–DeAngelis Functional Response." International Journal of Bifurcation and Chaos 26, no. 10 (2016): 1650165. http://dx.doi.org/10.1142/s0218127416501650.

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In this paper, we investigate the stability and Hopf bifurcation of a delayed density-dependent predator–prey system with Beddington–DeAngelis functional response, where not only the prey density dependence but also the predator density dependence are considered such that the studied predator–prey system conforms to the realistically biological environment. We start with the geometric criterion introduced by Beretta and Kuang [2002] and then investigate the stability of the positive equilibrium and the stability switches of the system with respect to the delay parameter [Formula: see text]. Es
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31

BURTHE, SARAH, SANDRA TELFER, XAVIER LAMBIN, et al. "Cowpox virus infection in natural field vole Microtus agrestis populations: delayed density dependence and individual risk." Journal of Animal Ecology 75, no. 6 (2006): 1416–25. http://dx.doi.org/10.1111/j.1365-2656.2006.01166.x.

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32

Erb, John, Nils Chr Stenseth, and Mark S. Boyce. "Geographic variation in population cycles of Canadian muskrats (Ondatra zibethicus)." Canadian Journal of Zoology 78, no. 6 (2000): 1009–16. http://dx.doi.org/10.1139/z00-027.

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We investigated the dynamic properties of population cycles in Canadian muskrats (Ondatra zibethicus). Ninety-one historic time series of muskrat-harvest data obtained from the Hudson's Bay Company Archives were analyzed. Most series were 25 years in length (1925–1949) and were distributed primarily throughout five ecozones. For each series, we estimated period length and coefficients for a second-order autoregressive model. Estimated period length varied between 3 and 13 years, with 3- to 5-year periods located in Subarctic-Arctic ecozones. We hypothesize that the 4-year cycles are largely a
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33

Hansen, T. F., N. C. Stenseth, H. Henttonen, and J. Tast. "Interspecific and intraspecific competition as causes of direct and delayed density dependence in a fluctuating vole population." Proceedings of the National Academy of Sciences 96, no. 3 (1999): 986–91. http://dx.doi.org/10.1073/pnas.96.3.986.

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34

Feng, J., G. R. Li, B. Fermini, and S. Nattel. "Properties of sodium and potassium currents of cultured adult human atrial myocytes." American Journal of Physiology-Heart and Circulatory Physiology 270, no. 5 (1996): H1676—H1686. http://dx.doi.org/10.1152/ajpheart.1996.270.5.h1676.

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Cultured cell systems are valuable for the study of regulation of phenotypic expression, but little is known about the electrophysiological properties of human cardiac tissues in culture. The present studies were designed to determine the feasibility of maintaining human atrial myocytes in primary culture and to assess changes in Na+ (INa) and K+ (Ito, transient outward, and Ikur, ultra-rapid delayed rectifier) currents. Within 24 h of culture, cells assumed an avoid shape, which they maintained for up to 7 days. The voltage dependence, kinetics, and density of INa were unchanged in culture. T
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35

Yousef, A. M., S. M. Salman, and A. A. Elsadany. "Stability and Bifurcation Analysis of a Delayed Discrete Predator–Prey Model." International Journal of Bifurcation and Chaos 28, no. 09 (2018): 1850116. http://dx.doi.org/10.1142/s021812741850116x.

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A discrete predator–prey model with delayed density dependence in the rate of growth of the prey is considered. In particular, we analyze the model presented by Kot [2005] which consists of three coupled difference equations and contains two parameters. Existence and local stability analysis of fixed points of the model are addressed. The normal form technique and perturbation method are applied to the different types of bifurcations that exist in the model being investigated. It is proved that the existence of transcritical and Neimark–Sacker bifurcations can occur in the model. In addition,
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36

Klinger, Rob. "Catastrophes, disturbances and density-dependence: population dynamics of the spiny pocket mouse (Heteromys desmarestianus) in a neotropical lowland forest." Journal of Tropical Ecology 23, no. 5 (2007): 507–18. http://dx.doi.org/10.1017/s0266467407004415.

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Capture–mark–recapture methods were used to study the influence of density-dependent and density-independent factors on population dynamics of the spiny pocket mouse Heteromys desmarestianus in a lowland forest in Belize. Fourteen trapping sessions were conducted in six 0.5-ha grids at irregular intervals from July 2000 to March 2005. Responses by H. desmarestianus to four disturbance events depended on the type and magnitude of the events. Although fluctuations in density were strongly related to fruit availability, the disturbances tended to magnify direct and delayed density-dependent effec
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37

Gintant, Gary A. "Characterization and functional consequences of delayed rectifier current transient in ventricular repolarization." American Journal of Physiology-Heart and Circulatory Physiology 278, no. 3 (2000): H806—H817. http://dx.doi.org/10.1152/ajpheart.2000.278.3.h806.

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Although inactivation of the rapidly activating delayed rectifier current ( I Kr) limits outward current on depolarization, the role of I Kr (and recovery from inactivation) during repolarization is uncertain. To characterize I Krduring ventricular repolarization (and compare with the inward rectifier current, I K1), voltage-clamp waveforms simulating the action potential were applied to canine ventricular, atrial, and Purkinje myocytes. In ventricular myocytes, I Kr was minimal at plateau potentials but transiently increased during repolarizing ramps. The I Kr transient was unaffected by repo
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38

Rodriguez, D. J. "A Model of Population Dynamics for the Fruit Fly Drosophila melanogaster with Density Dependence in More than One Life Stage and Delayed Density Effects." Journal of Animal Ecology 58, no. 2 (1989): 349. http://dx.doi.org/10.2307/4835.

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39

Widmann, E., I. Sugai, T. Yamazaki, et al. "Phase and density dependence of the delayed annihilation of metastable antiprotonic helium atoms in gas, liquid, and solid helium." Physical Review A 51, no. 4 (1995): 2870–80. http://dx.doi.org/10.1103/physreva.51.2870.

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40

Hunter, Mark D., and Mikhail V. Kozlov. "The relative strengths of rapid and delayed density dependence acting on a terrestrial herbivore change along a pollution gradient." Journal of Animal Ecology 88, no. 5 (2018): 665–76. http://dx.doi.org/10.1111/1365-2656.12930.

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41

Myers, Ransom A., Gordon Mertz, Jessica M. Bridson, and Michael J. Bradford. "Simple dynamics underlie sockeye salmon (Oncorhynchus nerka) cycles." Canadian Journal of Fisheries and Aquatic Sciences 55, no. 10 (1998): 2355–64. http://dx.doi.org/10.1139/f98-059.

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A variety of mechanisms have been proposed to explain the renowned British Columbia sockeye salmon (Oncorhynchus nerka) cycles, most of which invoke between-brood interactions (delayed density dependence) or depensatory harvest practices. We examine the dynamics of the Ricker model with realistic parameter values and suggest that the cycles could result from a stable mode excited by stochastic forcing. The previously proposed mechanisms are not required to generate cyclic patterns, although they could play a role in reinforcing cycles. Our results suggest that relaxing harvest rates will incre
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42

Stewart, Heather C., and Sandra J. Walde. "THE DYNAMICS OF APHIS POMI DE GEER (HOMOPTERA: APHIDIDAE) AND ITS PREDATOR, APHIDOLETES APHIDIMYZA (RONDANI) (DIPTERA: CECIDOMYIIDAE), ON APPLE IN NOVA SCOTIA." Canadian Entomologist 129, no. 4 (1997): 627–36. http://dx.doi.org/10.4039/ent129627-4.

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AbstractThe dynamics of Aphis pomi De Geer (Homoptera: Aphididae) and its predator, Aphidoletes aphidimyza (Rondani) (Diptera: Cecidomyiidae), were studied over two seasons in a commercial apple orchard in Nova Scotia. Aphid and predator population dynamics were very different in the two seasons. The most numerous predator in both years was A. aphidimyza. This predator was found in the earliest colonies sampled each season and was present throughout the growing season. In the year with relatively high aphid densities a single peak in aphid and predator density was seen in mid-July, just prior
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43

Radenovic, Cedomir, Zdravko Hojka, Dragojlo Selakovic, Miroljub Misovic, Milovan Pavlov, and Mile Secanski. "Photosynthetic properties of elite erect leaf maize inbred lines and their contribution to seed production improvement." Zbornik Matice srpske za prirodne nauke, no. 106 (2004): 45–56. http://dx.doi.org/10.2298/zmspn0416045r.

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A hypothesis that elite erect leaf maize inbred lines are characterized by properties of an efficient photo-model and that as such are very desirable in increasing the number of plants per unit area (plant density) in the process of seed production has been confirmed in the present study. The properties of the observed elite erect leaf maize inbred lines were based on the effects and characteristics of thermal processes of delayed chlorophyll fluorescence occurring in their thylakoid membranes. The temperature dependence of the delayed chlorophyll fluorescence intensity, the Arrhenius plot for
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44

COATES, MAURICIO, and FABIAN M. JAKSIC. "Population dynamics of three Neotropical small mammals: Time series models and the role of delayed density-dependence in population irruptions." Austral Ecology 24, no. 1 (1999): 25–34. http://dx.doi.org/10.1046/j.1442-9993.1999.00943.x.

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45

Shimada, Masakazu, and Midori Tuda. "Delayed density dependence and oscillatory population dynamics in overlapping-generation systems of a seed beetle Callosobruchus chinensis: matrix population model." Oecologia 105, no. 1 (1996): 116–25. http://dx.doi.org/10.1007/bf00328799.

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46

Pedraza-Garcia, Milton, and Luis A. Cubillos. "Population dynamics of two small pelagic fish in the central-south area off Chile: delayed density-dependence and biological interaction." Environmental Biology of Fishes 82, no. 2 (2007): 111–22. http://dx.doi.org/10.1007/s10641-007-9260-3.

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47

Martell, Steven J. D., Carl J. Walters, and Ray Hilborn. "Retrospective analysis of harvest management performance for Bristol Bay and Fraser River sockeye salmon (Oncorhynchus nerka)." Canadian Journal of Fisheries and Aquatic Sciences 65, no. 3 (2008): 409–24. http://dx.doi.org/10.1139/f07-170.

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Given current knowledge of mean stock–recruitment relationships and variation in past recruitment, yield of sockeye salmon (Oncorhynchus nerka) in Bristol Bay, Alaska, and Fraser River, British Columbia, might have been at least 100%–300% larger since 1950 than was actually achieved. Most of these gains would have been due to knowledge of optimum mean spawning stock size rather than specific recruitment anomalies; knowing all future recruitment anomalies at the time of each spawning stock choice would have likely only added 2%–5% to total catches. For some stocks, delayed density dependence (c
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48

Inchausti, Pablo, and Lev R. Ginzburg. "Maternal effects mechanism of population cycling: a formidable competitor to the traditional predator–prey view." Philosophical Transactions of the Royal Society B: Biological Sciences 364, no. 1520 (2009): 1117–24. http://dx.doi.org/10.1098/rstb.2008.0292.

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In the language of mathematics, one needs minimally two interacting variables (two dimensions) to describe repeatable periodic behaviour, and in the language of density dependence, one needs delayed, not immediate, density dependence to produce cyclicity. Neither language specifies the causal mechanism. There are two major potential mechanisms: exogenous mechanisms involving species interactions as in predator–prey or host–parasite, and endogenous mechanisms such as maternal effects where population growth results from the cross-generational transmission of individual quality. The species inte
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49

VLAD, MARCEL O., JOHN ROSS, FEDERICO MORAN, and YOEL RODRIGUEZ. "DELAYED RESPONSE IN TRACER EXPERIMENTS AND FRAGMENT-CARRIER APPROACH TO TRANSIT TIME DISTRIBUTIONS IN NONLINEAR CHEMICAL KINETICS." International Journal of Bifurcation and Chaos 12, no. 11 (2002): 2599–618. http://dx.doi.org/10.1142/s0218127402006102.

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A delayed response tracer experiment is suggested, based on the following constraints: (1) The kinetics of the process can be expressed by local evolution equations without delays, for example by the mass action law. (2) The kinetic isotope effect can be neglected, that is, the rate coefficients for labeled and unlabeled chemicals are the same. (3) The total fluxes of the various chemicals are generally time dependent, but are not modified by the presence of the labeled compounds. (4) The experiment consists in the measurement of the time dependence of the fractions βu, u = 1, 2,… of labeled c
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50

Ahlers, Adam A., Timothy P. Lyons, and Edward J. Heske. "Population dynamics of muskrats (Ondatra zibethicus) and American mink (Neovison vison): investigating contemporary patterns in a classic predator–prey system." Canadian Journal of Zoology 99, no. 8 (2021): 681–88. http://dx.doi.org/10.1139/cjz-2020-0296.

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A well-studied predator–prey relationship between American mink (Neovison vison (Schreber, 1777); formerly known as Mustela vison Schreber, 1777) and muskrats (Ondatra zibethicus (Linnaeus, 1766)) in Canada has advanced our understanding of population cycles including the influence of density dependence and lagged responses of predators to prey abundances. However, it is unclear if patterns observed in Canada extend across the southern half of their native range. We used data from the United States to create a 41-year time series of mink and muskrat harvest reports (1970–2011) for 36 states. A
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