Biological scaling analyses are more than statistical line fitting

Rethinking the metabolic allometry of ants

(2020) Gary C. Packard   EVOLUTIONARY ECOLOGY

Assessment of a Takagi–Sugeno-Kang fuzzy model assembly for examination of polyphasic loglinear allometry

(2020) Hector A. Echavarria-Heras et al.   PeerJ

Activity alters how temperature influences intraspecific metabolic scaling: testing the metabolic-level boundaries hypothesis

(2020) Douglas Stewart Glazier   Journal of Comparative Physiology B-Biochemical Systems and Environmental Physiology

The Adaptive Value of Numerical Competence

(2020) Andreas Nieder   TRENDS IN ECOLOGY & EVOLUTION

A new perspective on the static metabolic allometry of carabid beetles

(2020) Gary C. Packard   Journal of Experimental Zoology Part A-Ecological and Integrative Physiology

Logarithmic encoding of ensemble time intervals

(2020) Yue Ren et al.   Scientific Reports

The origin and maintenance of metabolic allometry in animals

(2019) Craig R. White et al.   Nature Ecology & Evolution

Scaling of cardiac morphology is interrupted by birth in the developing sheep Ovis aries

(2019) Edward P. Snelling et al.   JOURNAL OF ANATOMY

Nonlinear versus linearised model on stand density model fitting and stand density index calculation: analysis of coefficients estimation via simulation

(2019) Maurizio Marchi   JOURNAL OF FORESTRY RESEARCH

The fallacy of biphasic growth allometry for the vertebrate brain

(2019) Gary C Packard   BIOLOGICAL JOURNAL OF THE LINNEAN SOCIETY

Ecological pressures and the contrasting scaling of metabolism and body shape in coexisting taxa: cephalopods versus teleost fish

(2019) Hanrong Tan et al.   PHILOSOPHICAL TRANSACTIONS OF THE ROYAL SOCIETY B-BIOLOGICAL SCIENCES

Logarithmic transformation and peak-discharge power-law analysis

(2019) Bo Chen et al.   HYDROLOGY RESEARCH

Is working memory stored along a logarithmic timeline? Converging evidence from neuroscience, behavior and models

(2018) Inder Singh et al.   NEUROBIOLOGY OF LEARNING AND MEMORY

Logarithmic scales in ecological data presentation may cause misinterpretation

(2018) Duncan N. L. Menge et al.   Nature Ecology & Evolution

Modelling allometry: statistical and biological considerations – a reply to Packard

(2018) Christophe Pélabon et al.   BIOLOGICAL JOURNAL OF THE LINNEAN SOCIETY

Breakdown of brain–body allometry and the encephalization of birds and mammals

(2018) Masahito Tsuboi et al.   Nature Ecology & Evolution

The exponential benefits of logarithmic thinking

(2018) Sanjoy Mahajan   AMERICAN JOURNAL OF PHYSICS

Misconceptions about logarithmic transformation and the traditional allometric method

(2017) Gary C. Packard   ZOOLOGY

The neuronal code for number

(2016) Andreas Nieder   NATURE REVIEWS NEUROSCIENCE

Numerosity representations in crows obey the Weber–Fechner law

(2016) Helen M. Ditz et al.   PROCEEDINGS OF THE ROYAL SOCIETY B-BIOLOGICAL SCIENCES

Response to Packard: make sure we do not throw out the biological baby with the statistical bath water when performing allometric analyses

(2015) J. F. Lemaître et al.   Biology Letters

Blood pressure increases with body size in mammals

(2015) Craig R. White et al.   EVOLUTION

Biphasic Allometry of Cardiac Growth in the Developing Kangaroo Macropus fuliginosus

(2015) Edward P. Snelling et al.   PHYSIOLOGICAL AND BIOCHEMICAL ZOOLOGY

Shape shifting predicts ontogenetic changes in metabolic scaling in diverse aquatic invertebrates

(2015) D. S. Glazier et al.   PROCEEDINGS OF THE ROYAL SOCIETY B-BIOLOGICAL SCIENCES

Redefining metamorphosis in spiny lobsters: molecular analysis of the phyllosoma to puerulus transition in Sagmariasus verreauxi

(2015) Tomer Ventura et al.   Scientific Reports

Evolution of morphological allometry

(2014) Christophe Pélabon et al.   Annals of the New York Academy of Sciences

On the use of log-transformation versus nonlinear regression for analyzing biological power laws

(2014) Gary C. Packard   BIOLOGICAL JOURNAL OF THE LINNEAN SOCIETY

Body shape shifting during growth permits tests that distinguish between competing geometric theories of metabolic scaling

(2014) Andrew G. Hirst et al.   ECOLOGY LETTERS

Assessing Scaling Relationships: Uses, Abuses, and Alternatives

(2014) Karl J. Niklas et al.   INTERNATIONAL JOURNAL OF PLANT SCIENCES

Is logarithmic transformation necessary in allometry?

(2013) Gary C. Packard   BIOLOGICAL JOURNAL OF THE LINNEAN SOCIETY

Is logarithmic transformation necessary in allometry? Ten, one-hundred,one-thousand-times yes

(2013) Joseph Mascaro et al.   BIOLOGICAL JOURNAL OF THE LINNEAN SOCIETY

Effect of body mass and activity on the metabolic rate and ammonia-N excretion of the spiny lobster Sagmariasus verreauxi during ontogeny

(2013) Mark A. Jensen et al.   COMPARATIVE BIOCHEMISTRY AND PHYSIOLOGY A-MOLECULAR & INTEGRATIVE PHYSIOLOGY

THE ROLE OF GRAVITY IN THE EVOLUTION OF MAMMALIAN BLOOD PRESSURE

(2013) Craig R. White et al.   EVOLUTION

Estimating physiological tolerances - a comparison of traditional approaches to nonlinear regression techniques

(2013) D. J. Marshall et al.   JOURNAL OF EXPERIMENTAL BIOLOGY

Log-transformation is useful for examining proportional relationships in allometric scaling

(2013) Douglas S. Glazier   JOURNAL OF THEORETICAL BIOLOGY

Ontogeny of Metabolic Rate and Red Blood Cell Size in Eyelid Geckos: Species Follow Different Paths

(2013) Zuzana Starostová et al.   PLoS One

The Allometry of Coarse Root Biomass: Log-Transformed Linear Regression or Nonlinear Regression?

(2013) Jiangshan Lai et al.   PLoS One

The effect of stocking density on growth, metabolism and ammonia–N excretion during larval ontogeny of the spiny lobster Sagmariasus verreauxi

(2012) Mark A. Jensen et al.   AQUACULTURE

Determinants of inter-specific variation in basal metabolic rate

(2012) Craig R. White et al.   JOURNAL OF COMPARATIVE PHYSIOLOGY B-BIOCHEMICAL SYSTEMIC AND ENVIRONMENTAL PHYSIOLOGY

Julian Huxley, Uca pugnax and the allometric method

(2012) G. C. Packard   JOURNAL OF EXPERIMENTAL BIOLOGY

A framework for Bayesian optimality of psychophysical laws

(2012) John Z. Sun et al.   JOURNAL OF MATHEMATICAL PSYCHOLOGY

Critical Truths About Power Laws

(2012) M. P. H. Stumpf et al.   SCIENCE

On the use of log-transformation vs. nonlinear regression for analyzing biological power laws

(2011) Xiao Xiao et al.   ECOLOGY

Measurement and Meaning in Biology

(2011) David Houle et al.   QUARTERLY REVIEW OF BIOLOGY

Fitting statistical models in bivariate allometry

(2010) Gary C. Packard et al.   BIOLOGICAL REVIEWS

Shifts in metabolic scaling, production, and efficiency across major evolutionary transitions of life

(2010) J. P. DeLong et al.   PROCEEDINGS OF THE NATIONAL ACADEMY OF SCIENCES OF THE UNITED STATES OF AMERICA

Use and misuse of the reduced major axis for line-fitting

(2009) Richard J. Smith   AMERICAN JOURNAL OF PHYSICAL ANTHROPOLOGY

Origins of Mathematical Intuitions

(2009) Stanislas Dehaene   Annals of the New York Academy of Sciences

A unifying explanation for diverse metabolic scaling in animals and plants

(2009) Douglas S. Glazier   BIOLOGICAL REVIEWS

Morphology and postlarval development of the ligament of Thracia phaseolina (Bivalvia: Thraciidae), with a discussion of model choice in allometric studies

(2009) André F. Sartori et al.   JOURNAL OF MOLLUSCAN STUDIES

On allometric equations for predicting body mass of dinosaurs

(2009) G. C. Cawley et al.   JOURNAL OF ZOOLOGY

Do rats represent time logarithmically or linearly?

(2008) Linlin Yi   BEHAVIOURAL PROCESSES

Compressed Scaling of Abstract Numerosity Representations in Adult Humans and Monkeys

(2008) Katharina Merten et al.   JOURNAL OF COGNITIVE NEUROSCIENCE

Multiplicative by nature: Why logarithmic transformation is necessary in allometry

(2008) Andrew J. Kerkhoff et al.   JOURNAL OF THEORETICAL BIOLOGY

Log or Linear? Distinct Intuitions of the Number Scale in Western and Amazonian Indigene Cultures

(2008) S. Dehaene et al.   SCIENCE