Comparison of five methods for parameter estimation under Taylor’s power law

Anderson, 1982, Variability in the abundance of animal and plant species, Nature, 296, 245, 10.1038/296245a0

Ballantyne, 2007, The observed range for temporal mean-variance scaling exponents can be explained by reproductive correlation, Oikos, 116, 174, 10.1111/j.2006.0030-1299.15383.x

Ballantyne, 2005, The upper limit for the exponent of Taylor’s power law is a consequence of deterministic population growth, Evol. Ecol. Res., 7, 1213

Bates, 1988

Campbell, 1974, Temperature requirements of some aphids and their parasites, J. Appl. Ecol., 11, 431, 10.2307/2402197

Charnes, 1976, The equivalence of generalized least squares and maximum likelihood estimates in the exponential family, J. Am. Stat. Assoc., 71, 169, 10.1080/01621459.1976.10481508

Cheng, 2017, Internode morphometrics and allometry of Tonkin Cane Pseudosasa amabilis McClure, Ecol. Evol., 10.1002/ece3.3483

Cohen, 2015, Random sampling of skewed distributions implies Taylor’s power law of fluctuation scaling, Proc. Natl. Acad. Sci. U. S. A., 112, 7749, 10.1073/pnas.1503824112

Cohen, 2016, Taylor’s law and related allometric power laws in New Zealand mountain beech forests: the roles of space, time and environment, Oikos, 125, 1342, 10.1111/oik.02622

de Jong, 2010, A biophysical interpretation of temperature-dependent body size in Drosophila aldrichi and D buzzatii, J. Therm. Biol., 35, 85, 10.1016/j.jtherbio.2009.12.001

Deutsch, 2008, Impacts of climate warming on terrestrial ectotherms across latitude, Proc. Natl. Acad. Sci. U. S. A., 105, 6668, 10.1073/pnas.0709472105

Eisler, 2008, Fluctuation scaling in complex systems: Taylor’s law and beyond, Adv. Phys., 57, 89, 10.1080/00018730801893043

Forkman, 2009, Estimator and tests for common coefficients of variation in normal distributions, Commun. Stat. Theor. Methods, 38, 233, 10.1080/03610920802187448

Fronczak, 2010, Origins of Taylor’s power law for fluctuation scaling in complex systems, Phys. Rev. E, 81, 066112, 10.1103/PhysRevE.81.066112

Gielis, 2003, A general geometric transformation that unifies a wide range of natural and abstract shapes, Am. J. Bot., 90, 333, 10.3732/ajb.90.3.333

Gielis, 2017

Giometto, 2015, Sample and population exponents of generalized Taylor’s law, Proc. Natl. Acad. Sci. U. S. A., 112, 7755, 10.1073/pnas.1505882112

Hastie, 2009

Hendricks, 1936, The sampling distribution of the coefficient of variation, Ann. Math. Stat., 7, 129, 10.1214/aoms/1177732503

Imre, 2016, Fractals and the Korcak-law: a history and a correction, Eur. Phys. J. H, 41, 69, 10.1140/epjh/e2016-60039-8

Kilpatrick, 2003, Species interactions can explain Taylor’s power law for ecological time series, Nature, 422, 65, 10.1038/nature01471

Koopmans, 1964, Confidence intervals of the coefficient of variation for the normal and log normal distributions, Biometrika, 51, 25, 10.1093/biomet/51.1-2.25

Kuang, 2012, Testing the rate isomorphy hypothesis using five statistical methods, Insect Sci., 19, 121, 10.1111/j.1744-7917.2011.01428.x

Limpert, 2001, Log-normal distributions across the sciences: keys and clues, Bioscience, 51, 341, 10.1641/0006-3568(2001)051[0341:LNDATS]2.0.CO;2

Lin, 2016, A geometrical model for testing bilateral symmetry of bamboo leaf with a simplified Gielis equation, Ecol. Evol., 6, 6798, 10.1002/ece3.2407

Newman, 2005, Power laws, Pareto distributions and Zipf’s law, Contemp. Phys., 46, 323, 10.1080/00107510500052444

R Core Team, 2015

Ratcliff, 2002, Estimating parameters of the diffusion model: approaches to dealing with contaminant reaction times and parameter variability, Psyc. B Rev., 9, 438, 10.3758/BF03196302

Ratkowsky, 2017, Empirical model with excellent statistical properties for describing temperature-dependent developmental rates of insects and mites, Ann. Entomol. Soc. Am., 110, 302, 10.1093/aesa/saw098

Ratkowsky, 2005, Unifying temperature effects on the growth rate of bacteria and the stability of globular proteins, J. Theor. Biol., 233, 351, 10.1016/j.jtbi.2004.10.016

Ratkowsky, 1983

Ratkowsky, 1990

Rosso, 1993, An unexpected correlation between cardinal temperatures of microbial growth highlighted by a new model, J. Theor. Biol., 162, 447, 10.1006/jtbi.1993.1099

Sawyer, 1989, Inconstancy of Taylor’s b: simulated sampling with different quadrat sizes and spatial distributions, Popul. Ecol., 31, 11, 10.1007/BF02515802

Sharpe, 1977, Reaction kinetics of poikilotherm development, J. Theor. Biol., 64, 649, 10.1016/0022-5193(77)90265-X

Shi, 2010, How to compare the lower developmental thresholds, Environ. Entomol., 39, 2033, 10.1603/EN10136

Shi, 2013, The general ontogenetic growth model is inapplicable to crop growth, Ecol. Model., 266, 1, 10.1016/j.ecolmodel.2013.06.025

Shi, 2014, An optimization approach to the two-circle method of estimating ground-dwelling arthropod densities, Fla. Entomol., 97, 644, 10.1653/024.097.0242

Shi, 2015, Comparison of dwarf bamboos (Indocalamus sp.) leaf parameters to determine relationship between spatial density of plants and total leaf area per plant, Ecol. Evol., 5, 4578, 10.1002/ece3.1728

Shi, 2016, Dispersal distance determines the exponent of the spatial Taylor’s power law, Ecol. Model., 335, 48, 10.1016/j.ecolmodel.2016.05.008

Shi, 2017, Comparison of two ontogenetic growth equations for animals and plants, Ecol. Model., 349, 1, 10.1016/j.ecolmodel.2017.01.012

Smith, 1938, An empirical law describing heterogeneity in the yields of agricultural crops, J. Agric. Sci., 28, 1, 10.1017/S0021859600050516

Taylor, 1961, Aggregation, variance and the mean, Nature, 189, 732, 10.1038/189732a0

Thompson, 1917

Uvarov, 1931, Insects and climate, Trans. Entomol. Soc. Lond., 79, 1, 10.1111/j.1365-2311.1931.tb00696.x

Vangel, 1996, Confidence intervals for a normal coefficient of variation, Am. Stat., 15, 21, 10.1080/00031305.1996.10473537

Xiao, 2015, A process-independent explanation for the general form of Taylor’s law, Am. Nat., 186, E51, 10.1086/682050

Yin, 2003, A flexible sigmoid function of determinate growth, Ann. Bot. Lond., 91, 361, 10.1093/aob/mcg029

Zhao, 2013, Solving the pitfalls of pitfall trapping: a two-circle method for density estimation of ground-dwelling arthropods, Methods Ecol. Evol., 4, 865, 10.1111/2041-210X.12083