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MULTIDIRECTIONAL SPEED IN SPORT

During field- and court-based sports, players are continually required to perceive their environment within a match and select and perform the most appropriate action to achieve their immediate goal within that match instance. This ability is commonly known as agility, considered a vital quality in such sports and may incorporate a variety of locomotion and instantaneous actions.

Multidirectional speed is a global term to describe the competency and capacity to perform such actions: accelerate, decelerate, change direction, and ultimately maintain speed in multiple directions and movements within the context of sports-specific scenarios, encompassing agility, speed, and many other related qualities. Multidirectional speed in sport depends on a multitude of factors, including perceptual-cognitive abilities, physical qualities, and the technical ability to perform the previously mentioned actions.

Multidirectional Speed in Sport: Research to Application reviews the science of multidirectional speed and translates this information into real-world application in order to provide a resource for practitioners to develop multidirectional speed with athletes, bringing together knowledge from a wealth of worldleading researchers and applied practitioners in the area of speed and agility to provide a complete resource to assist practitioners in designing effective multidirectional speed development programmes.

This text is critical reading for undergraduate and graduate sports science students, all individuals involved in training athletes (e.g. coaches, physiotherapists, athletic trainers), and researchers in the field of sports science and sports medicine.

Paul A. Jones is a lecturer in sports biomechanics/strength and conditioning (S&C) at the University of Salford, UK. He has over 20 years of experience in biomechanics and S&C support to athletes and teams, primarily in athletics, football, and rugby, and was a former sports science coordinator for UK disability athletics. He is a BASES Fellow, has been BASES-accredited for over 17 years, is a Chartered Scientist, and currently serves on the BASES accreditation committee. Paul has also been a certified strength and conditioning specialist (CSCS) with the National Strength and Conditioning Association (NSCA) for over 18 years, recertifying with distinction on the last two occasions.

Thomas Dos’Santos is a lecturer in S&C and sports biomechanics at Manchester Metropolitan University (MMU), UK. Thomas is an NSCA-certified S&C specialist (with distinction). He is currently a physical performance coach for England Para-Football, and he consults on strength and movement profiling with sport technology companies and sports teams, such as Sale Sharks Rugby and Manchester United FC.

MULTIDIRECTIONAL SPEED

IN SPORT Research to Application

Designed cover image: Getty

First published 2023 by Routledge

605 Third Avenue, New York, NY 10158 and by Routledge 4 Park Square, Milton Park, Abingdon, Oxon, OX14 4RN

Routledge is an imprint of the Taylor & Francis Group, an informa business © 2023 selection and editorial matter, Paul A. Jones and Thomas Dos’Santos; individual chapters, the contributors

The right of Paul A. Jones and Thomas Dos’Santos to be identified as the authors of the editorial material, and of the authors for their individual chapters, has been asserted in accordance with sections 77 and 78 of the Copyright, Designs and Patents Act 1988.

All rights reserved. No part of this book may be reprinted or reproduced or utilised in any form or by any electronic, mechanical, or other means, now known or hereafter invented, including photocopying and recording, or in any information storage or retrieval system, without permission in writing from the publishers.

Trademark notice: Product or corporate names may be trademarks or registered trademarks, and are used only for identification and explanation without intent to infringe.

ISBN: 978-1-032-21333-0 (hbk)

ISBN: 978-1-032-21332-3 (pbk)

ISBN: 978-1-003-26788-1 (ebk)

DOI: 10.4324/9781003267881

Typeset in Bembo by Apex CoVantage, LLC

FIGURES

1.1 A deterministic model for agility taken from Dos’Santos and Jones (2022) 4

1.2 A velocity-displacement profile for an elite sprinter illustrating the different phases of a sprint 6

2.1 A Venn diagram displaying an integrated approach to understanding match actions in soccer

3.1 A schematic overview of a standard outdoor 400 m running track

3.2 Frontal plane ground reaction forces experienced by an athlete

3.3 A deterministic model of factors affecting sprint perfor mance

3.4 Right foot representation of the oblique (solid line) and transver se (dashed line) axes of the foot

4.1 Summary of the biomechanical differences between side-step, crossover, and split-step cutting techniques

4.2 Braking strategy and technique requirements for different directional changes

4.3 Change of direction (COD) underpinned by the interaction between velocity, deceleration, mechanics, and physical capacity

4.4 Summary of biomechanical factors associated with peak knee abduction moments

4.5

4.6

5.1 An illustration of deceleration ability, including the two key components: (1) braking force control and (2) braking force attenuation

5.2 Comparison of ground reaction force (GRF) profiles for initial steps of maximal acceleration and deceleration and steps of maximal velocity sprint running

5.3 Deceleration capacity represented as a critical mediator moderating the performers risk of tissue damage

5.4 Horizontal deceleration ability represented by an interaction of the neuromuscular (strength) and biomechanical (technical) qualities required to optimise braking impulse 87

5.5 Braking performance framework (BPF) illustrating training solutions that can be used to target improvements in horizontal deceleration ability 90

5.6 Overcoming braking multi-joint isometric exercise 94

5.7 Contextual position specific for a wide midfielder 96

6.1 An outline of the components that make up multidirectional speed 108

6.2 A flow chart to help design a battery of assessments for evaluating an athlete’s multidirectional speed 109

6.3 Timing gates 114

6.4 The height that a timing gate is set to is critical when using single-beam timing cells to avoid a false trigger 116

6.5 When using timing gates, it is essential to measure both sides of the runway to align timing cells 117

6.6 A two-point ‘split stance’ starting position 118

6.7 Ideal to test set-ups for sprint testing using timing cells depending on information required 119

6.8 A photo sequence showing differences in posture and technique between a 505 test (left) compared to when specific rules are applied to a 505 test 129

6.9 An outline of the reactive agility test with human stimulus 136

7.1 Key factors to consider when standardising tests 151

8.1 Holistic, sequential approach to enhance change-of-direction performance and reduce injury risk 170

8.2 A schematic diagram illustrating accentuated eccentric training using weight releasers 176

8.3 A schematic diagram illustrating accentuated eccentric training using weight releasers 176

9.1 Bidirectional relationships existing between an athlete’s current movement strategy, their existing physical qualities, and their movement history 188

9.2 Changes in ground reaction force character istics and the touchdown and toe-off positions observed during different phases of a sprint 189

9.3 The ‘inwards’ lean during cur ved sprinting associated with altered stance foot orientation and global kinematics 190

9.4 Differences between linear and curved spr inting ground reaction force characteristics 191

9.5 Changes in spatiotemporal step characteristics with changing radii of curved sprinting 192

9.6 Sprint drills 204

9.7 Constrained sprinting 205

9.8 The radii of curved markings on different playing fields/cour ts and on a running track 209

10.1 Agility development framework 217

10.2 An example of (in-season) agility session for multidirectional invasion-based sport containing elements from the three phases of the agility development framework 222

10.3 Example deceleration, change-of-direction speed, and agility activities 224

11.1 (A and B) Defender: reading opponent’s body language and anticipating. Attacker: makes a deceiving action. (C and D) Defender: rapid change of movement from right to left, reacting to attacker’s deceiving action. (D) Defender ruptures his right ACL

12.1 A hypothetical velocity trace and potential energy system contribution to three high-intensity efforts

12.2 An overview of energy system training guidelines and physiological adaptations that will occur when metabolic conditioning for multidirectional speed is undertaken 254

12.3 An example of rapid change-of-direction drill for defending hockey players 257

12.4 An example of rapid change-of-direction drills 258

12.5 An example of repeated rapid change-of-direction drill for tennis athletes 260

13.1 Specific organism, task, and environmental constraints influencing agility performance, with reference to perception-action coupling

13.2 ‘Controlled reactive’ environment, changing direction to cued colour cones, focusing on goal-directed search strategy and movement execution 273

13.3 Changing direction in response to a passive ‘defender’ allows for exploration of movement output under higher cognitive loads 274

13.4 Changing direction in response to an active stimulus, requiring object manipulation, within a reduced playing space, further increases the cognitive requirements of the drill 275

14.1 Open field tag drill with chaser constraint and runner advantage

14.2 Five Ps framework for decision-making

14.3 In context positions overview

14.4

14.5 Decision-making framework/process

15.1 Considerations and recommendations for choice of methods for monitoring linear and multidirectional speed

16.1 Factors impacting tissue load

16.2 Loading progression at tissue level for muscle injury

16.3 Progression paradigm for developing movement skill

16.4 Key elements in motor skill learning

16.5 Progressions for cutting task from closed skill to open random

17.1 Primary training focus for pre-, circa-, and post-pubertal children

17.2 A framework for multidirectional speed development 349

TABLES

1.1 Definitions of Key Terms Related to Multidirectional Speed 5

2.1 An Example Application of the Bondarchuk Exercise Classification Model (Bondarchuk, 2007) to a Specific Sprinting Action in Soccer 22

4.1 COD Actions and Descriptions 43

4.2 Side-Step Cutting Technique Checklist Regarding the Performance-Injury Risk Conflict

4.3 Important Physical Preparation Considerations for Change-of-Direction Actions: Developing Physical Capacity for Load Tolerance 63

5.1 Occurrence of High-Intensity Accelerations and Decelerations Obser ved During Elite Competitive Match Play in Various Multidirectional Team Sports 77

5.2 Biomechanical and Physiolog ical Demands of Deceleration and Implications for Multidirectional Speed Athletes from a Performance and Injury-Risk Perspective 83

6.1 A Summary of the Advantages and Disadvantages of Various Devices to Measure Time and/or Velocity for Athlete Assessment 110

6.2 Summary of Change-of-Direction and Manoeuvrability Tests

6.3 An Overview of Metrics to Consider When Examining COD Speed and Agility

6.4 Overview Along With Advantages and Disadvantages of Methods to Assess Agility

7.1 A Summary of the Underpinning Muscle Strength Qualities Associated with Each Phase of a Change-of-Direction Task

7.2 Factors to Consider When Standardising Testing Sessions

7.3 Overview of Field-Based Methods to Quantify SSC Function

7.4 Basic Considerations When Using Force Platfor ms for Jump and Isometric Tests

7.5 Basic Considerations for Lower-Body Repetition Maximum Testing

7.6 Summary of the Key Considerations for Conducting Isokinetic Assessment

8.1 Common Set, Repetition, and Loading Ranges for the Development of Different Strength Qualities 171

8.2 Changes in Physical Characteristics of a Rugby League Player over Two Phases of Training

8.3 Lower-Body Gym-Based Training During the First Four Weeks of Pre-season 178

8.4 Lower-Body Gym-Based Training During the Final Three Weeks of Pre-season 179

8.5 Lower-Body Gym-Based Training During the First Four Weeks In-season 180

9.1 Basic Technical Model Elements for Acceleration and Linear Sprinting

9.2 Partial Correlation Coefficients Between Strength-Based Variables in Their Absolute Form and Normalised Kinematic Variables (Hof, 1996) over the Initial Four Steps of Sprinting, Controlling for Body Mass

9.3 A Selection of Sprint-Based Drills and Constrained Sprinting Tasks

11.1 External Focus of Attention/Analogy Instructions as an Alter native to the Internal Focus Instructions

13.1 Development of Perceptual-Cognitive Ability for Agility Performance Utilising Constraints led Approach

14.1 Proposed

14.2

14.6 Sample Microcycle Programming Template for Agility and COD Training in American Football, Phase 1 (Five to Eight Weeks Out from Start of Pre-season Training Camp)

14.7 Sample Strength and Jump/Plyometric Combinations for Multi-Planar Power Development, Phase 1 (Five to Eight Weeks Out from Start of Pre-season Training Camp)

14.8 Sample Field Training Sessions for Agility and COD Development for American Football Wide Receivers and Defensive Backs

14.9 Sample Microcycle Programming Template for Agility and COD Training in American Football, Phase 2 (One to Four Weeks Out from Start of Pre-season Training Camp)

15.1 Evaluation of Monitoring Methods Used for Linear and Multidirectional Speed

16.1 Average Peak External Moments (Aggregate Based on Literature) During Typical Cutting Angles (Final Foot Contact)

16.2 A Model for Safer Side-Step Cutting

16.3 A Technical Model for Pre-planned Deceleration

CONTRIBUTORS

Liam Anderson, PhD, is an applied exercise physiologist who works at the University of Birmingham, UK. He has held both applied practitioner and research roles in professional football both in the UK and abroad. He is particularly interested in the applied physiology of intermittent sports. He has worked at the Liverpool Football Club, Everton Football Club, and Crewe Alexandra Football Club in the UK and worked abroad at the Mol Fehervar Football Club in Hungary. Alongside his current academic work, he consults for football clubs in the English Premier League and English Football League. Liam utilises his extensive applied experience to undertake research aimed at identifying methods to improve performance and preparation processes in intermittent sports.

Steve Atkins, PhD, FBASES, is an accredited sports scientist with BASES who has a long-standing interest in how best to optimise performance. He currently works as Director of Psychology and Sport at the University of Salford, UK. He has written articles published in peer-reviewed journals, and his primary research areas relate to the determinants of performance, including the use of advanced technologies to optimise performance profiling. Steve has worked with many elite and amateur athletes and supports clients within the University of Salford’s physiology testing service. He has lectured for over 25 years and is a senior fellow of the Higher Education Academy, seeking to create optimal learning environments for students via the use of creative heutagogical approaches.

Anne Benjaminse, PhD, obtained her bachelor’s degree in physical therapy in 2004 at the Hanze University Groningen, Netherlands. After this, Anne started to specialise in sports medicine. In 2005–2006 she worked as a student researcher at the American Sports Medicine Institute in Birmingham, Alabama, USA. Anne earned her master’s degree in 2008 at the School of Health and Rehabilitation Sciences of the Department of Sports Medicine and Nutrition at the University of Pittsburgh, Pennsylvania, USA. With a graduate assistantship, she worked as a student researcher in the Neuromuscular Research Laboratory from 2006 to 2008. In 2015, Anne finished her PhD and currently works as an assistant professor at the Center for Human Movement Sciences,

University of Groningen, and at the School of Sport Studies, Hanze University Groningen. Anne was awarded an NWO-ZonMw Veni grant in 2017 and a European Erasmus+ grant in 2018. In both projects, motor learning to reduce the knee and ankle injury incidence is the central theme. Her goal is to deliver a useful contribution to the field of sports medicine in the community through innovative research, interventions, publications, presentations, workshops, and teaching.

Molly Binetti is Director of Women’s Basketball Performance for the 2022 NCAA Division I National Champions, University of South Carolina Gamecocks, USA. She is a proud graduate of Marquette University, where she earned a bachelor of science degree in exercise physiology, and the University of Minnesota, where she earned a master of education degree in applied kinesiology. The Eau Claire, Wisconsin, native is a member of the National Strength and Conditioning Association and Collegiate Strength and Conditioning Coaches Association, where she holds the CSCS and RSCC certifications and the SCCC certification, respectively. She has contributed to two publications, both in the Journal of Strength and Conditioning Research , focused on the mechanical and physical determinants of elite women’s basketball players.

Micheál Cahill, PhD, is currently Vice President of Strategy and Registrar at Setanta College. He is also Head of Athletic Performance for the Clare Senior Footballers. Prior to this role, Micheál served as Chief Performance Officer and interim Chief Executive Officer at Athlete Training and Health in Texas. Micheál completed his bachelor’s degree in health, fitness, and leisure and master’s degree in sports performance. He earned a PhD at Auckland University of Technology, New Zealand, in sports science and performance.

Paul Caldbeck, DSport ExSci, ASCC, CSCS, is an experienced sports performance expert, with extensive experience as a practitioner within Premier League soccer and a wide variety of other sports and levels. With a doctoral thesis investigating the contextual nature of sprinting in Premier League soccer, Paul has studied in-depth and applied multidirectional speed theories with a range of athletes. He now works as Account Director at Sportlight Technology, where he is utilising a novel technology solution to provide physical performance practitioners with the tools to make better decisions.

Sarah M. Churchill, PhD, graduated from the University of Worcester with a BSc in sport and exercise science with associated biological science. She worked at the Motion Analysis Research and Rehabilitation Centre (MARRC) at the University of Worcester as a technical engineer conducting applied biomechanics (in particular, gait analysis) before joining the University of Bath to study for a PhD. Her thesis, ‘Biomechanical Investigations of Bend Running Technique in Athletic Sprint Events’, involved the data collection, analysis, and interpretation of three-dimensional sprint videography and force data of elite athletes. Sarah has also provided biomechanics support to elite athletes and Paralympic athletes. She joined Sheffield Hallam University in 2013 to teach on a range of sport and exercise science and sport and exercise technology undergraduate and postgraduate modules. She was the course leader for the BSc (hons) sport and exercise technology degree from 2018 to 2021, when she joined the Directorate of Student Engagement, Teaching, and Learning.

Paul Comfort, PhD, is Professor in Strength and Conditioning at the University of Salford United Kingdom, where he is also Programme Leader for MSc in strength and conditioning. Paul is also an adjunct professor at Edith Cowan University (Western Australia), a founding member and accredited member of the United Kingdom Strength and Conditioning Association, and a current National Strength and Conditioning Association board member. Professor Comfort regularly consults with numerous sports teams in the UK and has co-authored more than 150 peer-reviewed journal articles. Paul is also a co-editor of the textbooks Advanced Strength and Conditioning: An Evidence-Based Approach and Performance Assessment for Strength and Conditioning

Thomas Dos’Santos, PhD, MSc, PGCLTHE, BSc (Hons), CSCS*D, FHEA, is a lecturer in strength and conditioning and sports biomechanics at Manchester Metropolitan University (MMU), having earned a PhD in sports biomechanics at the University of Salford (2020), where he investigated the biomechanical determinants of performance and injury risk during change of direction. Thomas has published over 80 peer-reviewed journal articles, with research interests including change-of-direction biomechanics, anterior cruciate ligament injury screening and intervention, inter-limb asymmetry, and assessment and development of strength and power characteristics, and he is also a research member of the Musculoskeletal Science and Sports Medicine Research Centre (MMU), Football Science Institute (Granada, Spain), Human Braking Performance Research Group (UCLAN), and the England Para-Football Research Centre. Thomas is an NSCA-certified strength and conditioning specialist (with distinction), having previously worked as a strength and conditioning coach for Manchester United FC, Salford City FC, England North-West Netball, England Lacrosse Academy, and Manchester BMX Club. Thomas is currently a physical performance coach for England Para-Football, and he consults on strength and movement profiling with sport technology companies and sports teams such as Sale Sharks Rugby and Manchester United FC, and he has previously consulted with the England Football Association on change-of-direction biomechanics. Thomas is also a visiting lecturer on postgraduate programmes at Middlesex University, the University of Girona, the Chinese University of Hong Kong, and the Football Science Institute, and he is an editor for the International Journal of Strength and Conditioning and International Journal of Environmental Research and Public Health.

Barry Drust is an applied exercise physiologist who works at the University of Birmingham, UK as Director of Graduate School of Sport and Professional Practice, Industrial Professional Fellow, and Business Engagement Champion. He is a world-leading expert with over 25 years of experience leading applied practice and research projects in the UK and internationally. Alongside his academic work, he has worked for several elite football clubs, including the Liverpool Football Club, Glasgow Rangers Football Club, West Bromwich Albion Football Club, Middlesborough Football Club, and England Senior Men’s Football Team. Barry’s extensive experience has allowed him to become an internationally recognised researcher and practitioner and is continuing to develop the future applied researchers in the UK and abroad.

Laura J. Elstub, PhD, graduated from Leeds Beckett University, UK, with a BSc in sport and exercise therapy. She worked with the Adidas Innovations Team (Portland, Oregon) using biomechanics to inform sports bra design before joining Sheffield Hallam university to study for a PhD. Her thesis, ‘Investigation of the Biomechanical Adaptations in the Acceleration Phase

of Bend Sprinting’, involved the modelling the multi-segment foot and using statistical parametric mapping to understand force production and injury mechanisms during bend sprinting. Her postdoctoral work at Vanderbilt University (Nashville, Tennessee) has focused on the development of wearable technology to reduce the risk of injury in the general population.

Jon Goodwin is Director of Performance Services for the SOTC. He has worked previously in athletics coaching and S&C delivery in a number of sports. Prior full-time roles include Head of Academy Sport Science with Fulham Football Club, Head of Strength and Conditioning for the Saudi Olympic Committee, and Programme Director for the BSc and MSc in strength and conditioning programmes at St Mary’s University in Twickenham.

Damian Harper, PhD, CSci, ASCC, FHEA, is an accredited sport and exercise scientist and strength and conditioning coach and currently lecturer in coaching and human performance at the University of Central Lancashire (UCLan). Damian completed his PhD at UCLan in 2021 where he investigated the neuromuscular determinants of horizontal deceleration in team sport athletes. Following his PhD in 2022 Damian founded Human Braking Performance with a vision to further develop and disseminate information on the importance of deceleration and braking for sports performance and injury-risk reduction. He has published extensively on the topic of deceleration, presented at international conferences, and consulted with many professional sporting organisations from around the world, including the English Football Association (TheFA), English Premier League (EPL), National Basketball Association (NBA) and National Football League (NFL), amongst many other leading sports organisations and technology companies. Damian is internationally recognised for the impact his research has had on applied sports performance practices.

Lee Herrington, PhD, MSc, MCSP, is a physiotherapist and Senior Lecturer in Sports Injury Rehabilitation at the University of Salford, UK, where he is Programme Leader for MSc in sports injury rehabilitation. Lee is an athlete health consultant for the English Institute of Sport, leading on issues related to lower limb injury rehabilitation, and a consultant physiotherapist to various premiership and championship football and rugby union clubs. He has worked as part of the Team GB medical team at the London 2012 and Rio 2016 Olympic Games. Lee has previously worked with British Swimming, Great Britain women’s basketball team, Wigan Warriors, Great Britain rugby league teams, and England table tennis and netball teams. His research interests are the treatment and rehabilitation of sports injuries, specifically anterior knee pain and hamstring strain injuries, and rehabilitation from knee surgery (principally ACL reconstruction). Lee has published more than 150 peer-reviewed articles, along with numerous book chapters. Lee is also Editor in Chief of Physical Therapy in Sport

Paul A. Jones, PhD, MSc, BSc (Hons), FBASES, BASES Accredited, CSCS*D, CSci, is a lecturer in sports biomechanics/strength and conditioning (S&C) at the University of Salford. Paul earned a BSc (Hons) and MSc in sports science at Liverpool John Moores University and a PhD in sports biomechanics at the University of Salford. He has over 20 years of experience in biomechanics and S&C support to athletes and teams, primarily in athletics, football, and rugby, and was a former sports science coordinator for UK disability athletics. He is a BASES Fellow, has been BASES-accredited for over 17 years, is a Chartered Scientist, and currently serves on

the BASES accreditation committee. Paul has also been a certified strength and conditioning specialist (CSCS) with the NSCA for over 18 years, recertifying with distinction on the last two occasions. Paul has authored/co-authored over 100 peer-reviewed journal articles and six book chapters, mainly in change-of-direction biomechanics, assessment and development of changeof-direction speed, and strength diagnostics, and previously co-edited a book by Routledge, Performance Assessment in Strength and Conditioning

Cameron Josse is an athletic performance coach for American football at Indiana University in Bloomington, Indiana. Prior to Indiana University, he spent eight years working for DeFranco’s Training Systems, preparing and managing multiple levels of athletes, including professional athletes from the NFL, NHL, UFC, and WWE. He is currently pursuing a PhD at the University of Saint-Etienne in France, under the supervision of Dr J.B. Morin, and holds a master’s degree in exercise science from William Paterson University in New Jersey, as well as a bachelor’s degree in kinesiology from the University of Rhode Island.

Chris McLeod has been working in elite sport for over 15 years and holds a postgraduate certificate in creativity, leadership, and innovation from Cass Business School. During his time in elite sport, he has worked alongside coaches to prepare athletes and practitioners for multiple world championships and Olympic Games (Beijing 2008, London 2012, and Rio 2016) across a range of sports and most recently within British Tennis. He is currently SNR Innovation Consultant for the English Institute of Sport, which involves working in partnership with sports coaches to innovate and create positive changes in training design and performance planning. Chris has previously worked for British Tennis and the English Institute of Sport as Head of Strength and Conditioning and has also supported Team GB at the 2016 Olympics as a performance scientist.

Robert W. Meyers, PhD, is Principal Lecturer and also Principal Lead for Undergraduate Programmes in Sport at Cardiff Metropolitan University. He earned a PhD in youth physical development, focused on the development of speed with age, growth, and maturation. He is also a UKSCA-accredited strength and conditioning coach (ASCC) and a member of the Youth Physical Development Research Group at Cardiff Metropolitan University.

Mark Quinn, PhD, is an academic and practitioner working within the subject areas of sports science and performance analysis. He currently works as a lecturer at the University of Salford and leads the degree programmes for BSc (hons) in sports science and MSc in performance analysis in sport. Mark has worked within elite and amateur sport, supporting athletes with coaching, strength and conditioning, sports science, and performance analytics. He was an integral part of the Wigan Warriors Rugby League team, which had success in winning the Challenge Cup (2011, 2013), League Leaders Shield (2012), Super League Grand Final (2013, 2016), and World Club Challenge (2017). He has previously held an assistant coaching role with England Wheelchair Rugby League, and his research interests span performance analysis, monitoring athletes, and training load.

John M. Radnor, PhD, is a senior lecturer at Cardiff Metropolitan University, where he is the programme director of the MSc in youth athletic development course. He earned a PhD in paediatric strength and conditioning and is an S&C coach for the Cardiff Met Football Club and also in the Youth Physical Development Centre at Cardiff Metropolitan University.

Tania Spiteri, PhD, earned her master’s and doctor’s degree in biomechanics at Edith Cowan University. She is an internationally recognised practitioner and researcher for her work in applied exercise science, having published and presented her work as a keynote speaker at several national and international conferences. These efforts lead to Tania being awarded the Young Investigator of the Year Award (2017) by the National Strength and Conditioning Association, USA. Tania has held sport science roles with the National Football League, Purdue University, and Basketball Australia in preparation for the Rio Olympics, overseeing and implementing the health, wellbeing, and sport science initiatives with athletes to improve performance outcomes and reduce injury incidence. Tania currently holds a position as a health and well-being manager and is an adjunct lecturer in the Sport, Exercise and Rehabilitation at the University of Technology Sydney.

Christopher Thomas, PhD, MSc, BSc (Hons), CSCS*D, ASCC, is a strength and conditioning coach and performance support lead at Aspire Academy, Qatar. His main role is overseeing athlete support and research projects from creation to execution while also collaborating on innovation initiatives with key stakeholders across the Academy. Chris earned a PhD in sports biomechanics at the University of Salford, where his passion for sciences and innovation has seen him feature in over 60 peer-reviewed journal articles, primarily in the areas of change-of-direction biomechanics, asymmetry, and strength and power diagnostics.

James Wild, PhD, is a research and innovation and speed consultant with Harlequins Rugby Club and a lecturer in sport and exercise science at the University of Surrey. Using a blend of physical preparation and biomechanics techniques with skill acquisition and motor learning principles, James has worked with coaches and athletes across a full spectrum of abilities, including medal-winning teams and athletes at major international competitions. James is also a book author and has a PhD in the biomechanics and motor control of initial sprint acceleration.

PART 1

Theoretical Basis for Developing

Multidirectional Speed

1

INTRODUCTION TO MULTIDIRECTIONAL SPEED

Introduction

During field- and court-based sports, players are continually required to perceive their environment within a match and select and perform the most appropriate action to achieve their immediate goal within that match instance. This ability is commonly known as agility and has been comprehensively defined as ‘as a rapid and accurate whole-body movement with change of velocity, direction, or movement pattern in response to a stimulus’ (Jones & Nimphius, 2018). Although physical capacities are important in sport, ultimately the ability to perform and execute multidirectional speed/agility movements is fundamental for successful attacking and defensive plays in sport, thus highlighting the importance of multidirectional speed. Whilst agility is often considered a vital quality in field- and court-based sports, it is important to consider what agility is by considering the potential underpinning factors. Figure 1.1 illustrates that agility is largely dependent on perceptual-cognitive factors that leads to the selection and execution (i.e. physical component) of an action (perception-action coupling). A plethora of different agility actions are available and may be performed by athletes within the contextual demands of sport (which we will cover in Part 1 of this book). These actions could be instantaneous (i.e. change of direction or vertical jump) or have a timed duration and involve travel (sprinting, side-shuffling, backpedalling, etc.). For example, in American football, a running back looking to penetrate the defensive line may, on receiving the ball, perform a lateral shuffle motion as a ‘ready position’ to scan for an opening (transitional phase); once an opening presents itself, the running back may perform a sharp side-step cutting manoeuvre (an initiation again) to evade an opponent and accelerate and sprint into the gap and gain yards in the play (actualisation phase) in a curvilinear path. Effectively, the final phase dictates the success of the play (yards gained), but the preceding phases are equally important to the player in preparation for that final phase. Locomotion and instantaneous actions (Figure 1.1) are dependent on technical and physical factors that are specific to each action. Collectively, in developing agility, whilst attention should be paid to the development of perceptual-cognitive abilities (e.g. improve the thinking element), the ability to perform instantaneous and locomotion actions efficiently, effectively (e.g. make the athlete a fast mover; physical

FIGURE 1.1 A deterministic model for agility taken from Dos’Santos and Jones (2022). Training for change of direction and agility, in Advanced Strength and Conditioning (second edition) (eds. A. Turner and P. Comfort), Routledge.

component), and safely (i.e. reducing tissue mechanical loading) is a major consideration and requires both technical and physical development to do so.

With these principles in mind, this book uses the term multidirectional speed (MDS). Multidirectional speed is a global term to describe ‘the competency and capacity to accelerate, decelerate, change direction, and ultimately maintain speed in multiple directions and movements within the context of sports specific scenarios’ (McBurnie & Dos’Santos, 2022). Akin to the term strength, which contains various components and utilities (concentric, isometric, eccentric, ballistic, reactive, dynamic, etc.), we propose MDS is similar, and is an umbrella term which encompasses the range of different agility and locomotive actions available to athletes, including linear sprinting (acceleration and maximum speed), change of direction, deceleration, and curvilinear speed. Sports are often chaotic and require a range of different actions to be performed in response to opponents/implements/balls to various locations on the pitch or court, often within a 360° radius. Having the competency and capacity to perform a variety of different manoeuvres, across a range of angles and velocities, from both limbs, would undoubtedly be advantageous for sports which involve open, random multidirectional movements, and this should be the overarching philosophy of most MDS programmes. Essentially, MDS in sport is about following a holistic approach to agility development, having an appreciation of the various locomotor actions which are required to be successful in the sport, whereby the physical capacity and technical competency in a range of movements are catered for whilst embracing the athletes target context (i.e. contextual speed). Consequentially, for the remainder of this chapter, it is important to define and understand the several components of MDS to allow us to more effectively evaluate and develop qualities that underpin each in the following chapters (Table 1.1).

TABLE 1.1 Definitions of Key Ter ms Related to Multidirectional Speed

Term Definition

Multidirectional speed

‘Competency and capacity to accelerate, decelerate, change direction, and ultimately maintain speed in multiple directions and movements, within the context of sports-specific scenarios.’ (McBurnie & Dos’Santos, 2021)

Agility ‘A rapid and accurate whole-body movement with change of velocity, direction or movement pattern in response to a stimulus.’ (Jones & Nimphius, 2018)

Game speed

Change-of-direction ability

Manoeuvrability

COD speed

‘The ability to exploit the qualities of speed and agility within the context of a sport.’ (Jeffreys, 2010)

‘The skills and abilities needed to change movement direction, velocity, or modes. Describes the physical event of changing direction.’ (DeWeese & Nimphius, 2016)

‘The ability to maintain velocity during a COD, when performed without a clear “plant” step (i.e. a curvilinear path of movement); or the ability to perform or change mode of travel to and from “transitional” movements (i.e. side shuffle or back pedal).’ (DeWeese & Nimphius, 2016)

‘The ability to decelerate, reverse or change movement direction and accelerate again.’ (Jones et al., 2009)

‘The ability to change initial direction to a predetermined location and space on a field or court’ – applicable to specific situations in open skilled sports. (Nimphius, 2014)

Change of direction ‘A reorientation and change in the path of travel of the whole-body centre of mass towards a new intended direction.’ (McBurnie & Dos’Santos, 2021)

Curved sprinting

Deceleration

Attacking agility

Sprinting

‘The upright running portion of the sprint completed with the presence of some degree of curvature.’ (Caldbeck, 2019)

The action of reducing horizontal momentum (negative acceleration) during a locomotor task across a series of foot contacts as an isolated agility action or prior to COD manoeuvre (Dos’Santos et al., 2022) or the ability to proficiently reduce whole body momentum, within the constraints, and in accordance with the specific objectives of the task (i.e. braking force control), whilst skilfully attenuating and distributing the forces associated with braking (i.e. braking force attenuation).

In the context of invasion team sports (i.e. court-and field-based sports with the objective to score goals/points), defined as ‘distinct, sharp, change of directions (COD) or decelerations performed for attacking purposes (i.e. team in possession) while being actively defended by an opponent(s)’ (Fox et al., 2014)

Running at maximal or near-maximal speeds. (McMillan & Pfaff, 2018)

Components of Multidirectional Speed

Sprinting

Linear running speed is no doubt an essential quality regarding expressions of agility in sport and may even mask inabilities of the athlete in other elements identified in Figure 1.1. Indeed, data in male soccer highlights that sprint (or linear advancing motions) is the most common action by an attacker preceding a goal (Faude et al., 2012; Martinez et al., 2022), and sprint capacity is

typically a discriminating factor in playing levels across numerous sports (Gabbett et al., 2008; Dobbin et al., 2019; Thomas et al., 2016). Figure 1.2 shows a typical velocity distance graph based on Usain Bolt’s world 100 m record in 2009. A sprint such as this can be divided into acceleration, maximum velocity, and velocity maintenance phases. Each phase is characterised by differing locomotion mechanics; in short, acceleration phases involve greater forward lean with triple lower-limb extension behind the trunk, whereas maximum velocity running is characterised by a more upright trunk position. The acceleration phase can be further divided into early (0–5 steps), mid (5–15 steps), and late (15–25 steps) acceleration, whereby distinct kinematic differences (e.g. foot contacting ground ahead of centre of mass, support knee flexion, and a plateau in step frequency [early to mid]; postural changes, lower intensity of hip movements [mid to late]) distinguish these phases (Nagahara et al., 2014). However in team sports, such as soccer, the acceleration phase is likely to be over shorter distances leading to shorter distances for early (2.5 m), mid (6 m), and late acceleration (12 m) (Bellon et al., 2019) due to differing contextual demands and achievement of lower maximum velocity compared to elite sprinting.

Time-motion studies in field-based sports, such as soccer and rugby, suggest that most sprints during match play are <20 m or <5 seconds (Di Salvo et al., 2010; Andrzejewski, 2013; Gabbett, 2012). Whilst court dimensions for racket sports (e.g. tennis – average running distance of 3 m and 8–12 m per point [Parsons & Jones, 1998]) and team sports (e.g. basketball [Scanlan et al., 2011; Abdelkarim et al., 2007]; netball [Thomas et al., 2017]) dictate that sprint activity may typically be of shorter duration (<10 m; <2 seconds). Hence, maximum velocity sprinting maybe seldom achieved during field-based matches and less likely during court-based sports, placing the emphasis on developing acceleration (the rate of change in movement velocity increase) ability in the majority of field- and court-based sports. However, it is important to remember whilst infrequent, longer sprints (>20 m) whereby maximum velocity maybe achieved by the athlete/player do occur in certain field sports match instances (e.g. a counterattack in soccer or a lengthy throw

FIGURE 1.2 A velocity-displacement profile for an elite sprinter illustrating the different phases of a sprint.

and catch and subsequent yards gained after the catch in American football). Thus, development of maximum velocity sprint mechanics is still important, and the inclusion of longer sprints in training are essential for metabolic and physical conditioning requirements and injury mitigation.

Another important aspect to recognise is that particularly in the case of field-based sports, such as soccer and American football, many sprints are not directly linear. Caldbeck (2019) in analysis of maximum velocity sprinting in EPL soccer found that 85% of sprints are curvilinear. Furthermore, sprint activities in soccer have been shown to be rarely linear (Fitzpatrick et al., 2019), and such sprint actions in soccer may vary from 3.5 to 11 m in radii (Brice et al., 2004), suggesting that whilst the ability to sprint is no doubt important, the ability to modify technique and maintain speed whilst running along a curvilinear path (curvilinear sprint ability, otherwise known as manoeuvrability) is perhaps even more important. This is commonly observed post-attacking agility COD actions with the aim to reaccelerate and deviate their path of travel when penetrating the defensive line. Manoeuvrability is defined as the ability to maintain velocity during a change of direction that does not involve a clear ‘plant’ step (i.e. a curvilinear path of movement or ‘arc’ run) or the ability to perform or change mode of travel to and from ‘transitional’ movements (i.e. side-shuffle or backpedal) (DeWeese & Nimphius, 2016; Jones & Nimphius, 2018) and can be considered important in passages in play where a sequence of various agility actions are required and performed over short time intervals (for example, a defender who is pressing opponents while chasing after the ball in soccer).

As Figure 1.1 shows, locomotion actions such as linear and curvilinear sprints are dependent on technical and physical factors and form the cornerstone for the development of these qualities with athletes. In addition, sprint-running actions are commonly associated with hamstring strain injuries (Heiderschiet et al., 2005; Thelen et al., 2005; Schache et al., 2012) due to the propensity to generate large hamstring stretch loads during the terminal swing phase in preparation for ground contact. Whilst the aetiology of musculoskeletal injuries such as this are complex, risk factors for hamstring injuries point to intrinsic physical (e.g. eccentric hamstring strength [Jonhagen et al., 1994; Opar et al., 2015; Timmins et al., 2015]; muscle architecture [Timmins et al., 2015]) and technical (e.g. reducing anterior pelvic tilt and ‘backside’ mechanics, promoting more ‘frontside’ mechanics [Mendiguchia et al., 2021]) factors. This presents programming considerations for more holistic multidirectional speed development.

Change of Direction

Often central to expressions of agility is changing direction as this often is the action involved in creating separation (i.e. a forward attempting to lose their defensive marker) from – or responding to movements of an opponent (i.e. a centre back responding to the movements of a centre forward). Change of direction (COD) is defined as ‘a reorientation and change in the horizontal path of travel of the whole-body centre of mass (COM) towards a new intended direction’, and such manoeuvres are frequently performed in sports such as soccer (Bloomfield et al., 2007; Robinson et al., 2011; Martinez et al., 2022), netball (Fox et al., 2014; Sweeting et al., 2017), basketball (Svilar et al., 2018a, 2018b), rugby (Sayers & Washington-King, 2005; Wheeler et al., 2010; Zahidi & Ismail, 2018), and Gaelic football (Talty et al., 2022). For example, male soccer players in the English Premier League (EPL) have been shown to perform ~600 cuts of 0–90° and ~100 turns of 90–180° during games (Bloomfield et al., 2007), whilst in male (n = 24) EPL academy soccer (U18 and U23) (Morgan et al., 2021), an average of 305 ± 50 CODs has been reported, with 77% of these reported to be ≤90° and on average 19.2 ± 3.9 s recovery between

CODs (differences between studies likely due to different methods, definitions, and inclusion/ exclusion criteria used to identify changes of direction). Gaelic football players (averaged across attacking middle third, defensive middle third, inside forward line, and inside defensive line positions) have been shown to perform 6.8 ≤ 90°-COD·min−1 and 2.4 90–180°-COD·min−1 during games (Talty et al., 2022), while directional changes of 45°, 90°, and 180° have been found to be frequent actions in netball (Sweeting et al., 2017). CODs have also been shown to be a common action involved in critical match deciding events such as goals scored in EPL soccer (Martinez et al., 2022) and penetrating defensive lines in rugby union (Zahidi et al., 2018). Hence, the literature highlights the importance and breadth of COD actions involved in field- and courtbased sports.

COD ability, or COD speed, in a measurement context is considered ‘the ability to decelerate, reverse or change movement direction and accelerate again’ (Jones et al., 2009) or, in the context of specific situations in open skilled sports, ‘the ability to change initial direction to a predetermined location and space on a field or court’ (Nimphius, 2014) (Table 1.1). It is worth pointing out at this stage that previous definitions and models of agility has led to a coaching assumption that all COD actions are performed in ‘open’ situations and subject to perceptual-cognitive factors, highlighting the need to perform such drills in an unanticipated manner. However, even in field-based sports where there is a variety of sports-specific visual stimuli, it could be argued that in some ‘offensive’ or ‘attacking’ COD actions, a player acts as the ‘instigator’ and thus performs the action in a ‘semi pre-planned’ manner, whilst aware of external stimuli to initially look for the opening. For example, a defensive end ‘spins’ to evade an offensive tackle to pass rush the quarterback. Here, the defensive end is the instigator, and thus, their actions are planned to achieve the goal of evading the offensive tackle and then attacking the quarterback but regulated by external visual stimuli. In contrast, in ‘defensive’ plays, an athlete acts as the arbitrator and performs directional manoeuvres in response to an opponent or passage of play (e.g. a central defender performs a side-step cut to change direction to track and close-down a centre forward). Athletes may also perform pre-planned routes, set plays or attacking transitions in open, random sports (e.g. a corner kick routine in soccer, a wide receiver performing a slant route or a power forward in basketball performing a backdoor cut). Therefore, performing COD and related actions in a variety of contexts in training is vital to develop technical competency and adaptability (Dos’Santos et al., 2022). Furthermore, execution of pre-planned drills in training, from a skill acquisition and motor skill learning perspective, allows the development of technique and physical capacity in a controlled environment, initially, before executing such drills in unanticipated situations where task complexity, cognitive loading, and mechanical loading increases (Dos’Santos et al., 2019, 2022). Developing linear sprint ability and landing mechanics are often practised and rehearsed in a pre-planned manner regardless of the sport. Just like sprint running and landing, changing direction is a movement action all the same; thus, why wouldn’t such an action be practised initially in a pre-planned manner? Therefore, changing directions needs to be practised in closed environments before initially increasing complexity and contextual interference when developing technique (Chapter 10). The objective of this method is to develop an athlete’s mechanical and physical ability to execute the action which should help improve agility performance (i.e. fast mover), irrespective of perceptual-cognitive speed.

Directional changes, particularly side-step cutting manoeuvres, are also the most common actions involved in non-contact anterior cruciate ligament (ACL) injuries in handball (Olsen et al., 2004), soccer (Faude et al., 2005; Brophy et al., 2015; Walden et al., 2015; Lurcano et al., 2021), rugby union (Montgomery et al., 2018), and American football (Johnstone et al.,

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advancing a space of nearly one mile “at a run,” or “at the double,” the word δρόμῳ seems to be used in a technical sense, taken, as it were, from the Greek infantry “drill-book” of Herodotus’ own time, implying a pace faster than that denominated by the technical word βάδην. (For βάδην, vide Xen. Hell. v. 4. 53, etc.) There cannot be any certainty on this point, because we know so little of Greek infantry drill at this period.

Another possible explanation of the passage may be that Herodotus has ascribed to the whole length of the advance a form of movement which was only adopted when the Greeks came within range of missiles.

4 Cf. Paus. i 15. 3, where he is describing the picture:

Those who met this fate must presumably have belonged to the Persian centre, who would be cut off from the ships by the closing in of the Greek flanks.

5 Cf. Paus. i. 32. 3: Καὶ

6 Ephoros [F. 107, Fragm. Histor. Græc.] attributes the raising of the siege to the fact that the Athenian fleet imagined that a signal implied that the Persian fleet was still at the neighbouring island of Mykonos.

He thus seems to assume that the Parian expedition followed immediately upon Marathon.

It cannot be said that the vague direct evidence on the question determines this point. It is, however, in the highest degree unlikely that the expedition was undertaken in the same year as Marathon; and the detail with regard to the Persian ships seems to have been inserted in the story either by Ephoros or his original authority, either (a) in order to rationalize a story in which the motive was inadequate, or (b) because the version followed was one favourable to Miltiades.

Despite his chronological vagueness, Herodotus (vi. 132) clearly implies an interval between Marathon and the Parian expedition, in which Miltiades’ reputation stood very high.

7 In some histories of Greece, discredit is cast upon Herodotus’ assertion that the preparation for the great invasion was begun in the last years of Darius. In the absence of evidence, this denial of the stated fact must rest on the basis of general probability.

In reference to this point I would urge that the most noticeable feature of Darius’ policy towards the west is its extreme tenacity of purpose. His plans had met with the severest checks in the course of their operation, yet he and his brother Artaphernes had persisted in their designs of conquest and acquisition in Europe, whenever circumstances rendered military and political interference possible.

8 This is attributed in some Greek histories to the discovery of the treason of the Alkmæonidæ. So far from being caused by that, it took place in spite of it.

9 Cf. Clinton, “Fasti Hellenici,” 113, 26.

The archon’s name recorded for Ol. 71, 4, is Themistocles. His identity with the great Themistocles is highly probable, though not certain.

Dionysius of Halikarnassos says that Themistocles was archon in the official year, 493–492.

0 This point will be more fully discussed in dealing with the charges of corruption brought against Themistocles in Herodotus’ history of the war.

Cf. Plut. Them. 4.

Stesimbrotos is a fifth century writer

2 E.g. Delbrück attributes to Xerxes an army of from 65,000 to 75,000 combatants.

3

Herodotus (vii. 60) reckons the land army at 1,700,000, and the total effective at 2,641,610 (vii. 185). He (vii. 186) says that this number must be doubled in order to arrive at the full total of the expedition.

4 Herodotus probably arrived at these numbers from information picked up from various towns all round the Ægean, furnished by persons who had witnessed the passage of the army, or had heard of it from others who had been eye-witnesses. The enormous exaggerations of estimate made by eye-witnesses in estimating the numbers of a crowd of quite moderate dimensions, may easily account for the impossible numbers stated to and by Herodotus.

5 Those who state a much smaller number than this do not take into account the Oriental reliance on numbers, an Eastern characteristic which the Persian, unless he is much traduced, fully shared.

I hesitate to express any conjecture as to the possible maximum of the land force on this occasion. No evidence on this point can be said to exist.

6 The description of the route adopted renders it improbable that this body of troops included much more than the local levies of Western Asia. Sardes was the real place of rendezvous, though it is possible that some of the contingents did not join the main force until it arrived at Abydos.

7 Calculations show that the only eclipses about this time visible at Sardes occurred on October 2, 480 (mentioned H. ix. 10), and February 16, 478.

8 Herodotus says on the left. It is obvious that he has confused his point of view, and is speaking from that of a traveller voyaging in a ship up the coast.

The physical difficulties of the interior of the Balkan peninsula, together with the practical question of commissariat, render it probable that Herodotus is mistaken as to the nature of this inland march, and of the troops which undertook it. The main body of the army must almost certainly have pursued the coast road, which was

easy, supplied with depôts of stores, and in touch with the fleet. The divisions which went inland were probably large detachments sent to inspire awe in the breasts of the inland tribes, so as to discourage them from any attempt to cut the line of communications.

0 Vide also p. 207.

The expedition to Thessaly must have been in the spring of 480. The Thessalian deputies came to the Isthmus “as soon as they were informed that the Persian was about to cross over into Europe” (H. vii. 172). Xerxes spent the winter of 481–480 at Sardes, and started thence “at the beginning of the spring” (H. vii. 37).

2 The Expedition to Tempe in Diodorus.—The account of the Tempe expedition as given by Diodorus differs in certain most important particulars from the brief narrative in Herodotus. It is possible that the manifest absurdity of the chronology in the historian’s work has created an undue prejudice against him as a source of evidence, a tendency increased by the second-hand nature of his information. It seems to me, however, that this latter characteristic constitutes a very strong reason for treating his information with respect. There is no reason why a bad historian should be a bad copyist; and whatever the man himself may have been, the writers from whose work he plagiarized so freely may in some cases have been most reliable witnesses. The passage on Tempe is in Bk. XI. ch. ii. 13, and it may be well to note the points in which he agrees with, and in which he differs from, the account in Herodotus.

D.

1. The Greeks sent ten thousand hoplites to Thessaly to seize the passes to Tempe.

H.

Gives the same number—ten thousand.

2. On hearing of the size of the Persian force. Mentions this as the reported cause of withdrawal from Tempe.

3. Synetos was leader of the Lacedæmonians. Evænetos.

D.

4. Themistocles leader of the Athenians.

5. Ambassadors sent by the Lacedæmonians to the other States, asking them to send forces to join in the defence of the passes.

6. They were eager to include the whole of the Greek States in the defending forces, and to get them to take part in the war against the Persians.

7. They left Tempe because the majority of the Thessalians and the other Greeks in that neighbourhood gave earth and water to Xerxes’ envoys.

8. Ænianians, Dolopians, Malians, Perrhæbians, Magnetes, medize while army still at Tempe.

9. Achæans (Phthiotis), Locri, (Opuntian), Thessalians, Bœotians, after the departure of Greek force from Tempe.

Same.

H.

No mention.

No mention.

Believes the real reason for departure to have been the discovery that there were other passes by which Tempe could be turned.

Makes no distinction between the time at which these two sets of States medized.

It is quite plain that the account of Diodorus is not borrowed from Herodotus, nor does it show traces of having had, either in whole or even in part, a common source. In certain respects it is the more probable tale of the two. For example, the comparative smallness of the numbers sent is explained by the fact that the Lacedæmonians and Athenians hoped that the other Greeks would send contingents. Again, the size of the Persian force is given as a reason for going to Tempe, while Herodotus gives it as a reason for leaving the same, though he is inclined to reject the tale. It is inconceivable that the

Greeks should at this time have been totally ignorant of the magnitude of the Persian force. Diodorus’ tale admits of the common-sense explanation that, having made up their minds to defend the North, they thought it best to choose a place where the Persian superiority in numbers would be of as little advantage as possible, though it was mainly for political purposes that so advanced a position was taken up.

In speaking of the medization of the States or clans, he evidently uses Θέτταλοι in Chapter II. in a general sense of the population of the region of Thessaly, whereas in Chapter III. he uses it of the Thessalians, properly so-called. There is nothing in Herodotus which contradicts Diodorus’ account of the medization. Both accounts may be true, though that of Diodorus is the fuller one. There is one point in it which is peculiarly supported by what Herodotus says. The Aleuadæ medized; but the mass of their subjects disapproved of this policy, and called in the Southern Greeks. The great Thessalian lords were lords of the plain rather than of the mountain. It was consequently the population of the plain which was opposed to their policy. It is therefore a remarkable fact that the tribes of the Thessalian region, which Diodorus mentions as having medized in the first instance, are those of the bordering mountain region; whereas those of the great plain remained true to the Greek cause until the withdrawal of the army from Tempe left them exposed to the overwhelming flood of the invasion.

3 Diodorus gives his name as Synetos.

4 The Thessalian appeal to the Congress at the Isthmus to send a force to Tempe is made to the προβόυλοι τῆς Ἑλλάδος, but the expression used by Herodotus in vii. 145 and 172, οἱ

has almost an official ring about it.

5 Cf. language used by the Greek embassy to Gelo at Syracuse (H. vii. 157).

6 It has been asserted that this passage from Diodorus is drawn from the passage of Ephorus, of which the fragment is a survival. It would

seem to me that the essential difference between the two points to a difference of origin, and that they are two pieces of evidence on the question, and not one.

Note on the Sequence of Events in Relation to the Negotiations with Gelo.

It would, perhaps, be a mistake to lay too much stress on the indications of date in Herodotus with reference to the somewhat crowded incidents of this time. The actual dates cannot be settled, though it is possible to arrive at some idea of Herodotus’ views as to the sequence of events.

(a.) The Greek spies were sent to Asia at the time when Xerxes’ army was collected at Sardes (vii. 146).

(b.) The embassies to Gelo, Argos, etc., were sent after the despatch of the spies (vii. 146, ad init., 148, ad init.).

(c.) Gelo, after the departure of the joint embassy (vii. 163), and when he heard that Xerxes had crossed the Hellespont (ibid.), sent the treasure-ships to Delphi.

(d.) Before he sent these vessels he knew that he had to expect a Carthaginian attack (vii. 165, ad fin.).

The evidence is inconclusive We lack the means of deciding the sequence of the departure of the embassy and of the acquisition of the information with regard to the coming of the Carthaginian expedition.

7 Bergk, “Pœtæ Lyrici Græci,” Ed. 4, v. iii. p. 485:

8 Vide Note at end of chapter.

9 Livy, xxxvi. 15—“Hoc jugum (Œta) ab Leucate et man ad occidentem verso per Ætoliam ad alterum mare orienti objectum tendens ea aspreta rupesque interjectas habet, ut non modo exercitus sed ne expediti quidem facile ullas ad transitum calles inveniant;” and again (Livy, xxxvi. 17), Acilius Glabrio, speaking of Thermopylæ, “Quippe

portæ sunt hæ, et unus inter duo maria clausis omnibus velut naturalis transitus est.”

There is considerable mule traffic through it at the present day.

It would, I reckon, be possible for a traveller to go from one plain to the other by this route without attaining a height much over a thousand feet.

It may be well to adduce one or two striking instances of this, apart from the one at present under consideration:

1. Circ. 350 .., Thermopylæ was the great obstacle to Philip’s advance south. His energies were centred in getting hold of the pass. He never attempted an assault upon it, but finally got hold of it by bribing Phalæcus, the Phocian condottiere. He then left a garrison at Nicæa near Thermopylæ (Dem. ad Ep. Phil. 4). There must have been some supreme objection from a military point of view to the Asopos pass, since Philip, who can hardly be suspected of military incapacity, never tried to turn Thermopylæ by using it. He was not pressed for time. He patiently allowed years to elapse before he got hold of Thermopylæ. Thermopylæ was all-valuable to him, and, what is more striking, absolutely necessary, in his opinion, for an advance southwards. (Vide Hogarth, “Philip and Alexander”).

2. In 279 .. (Pausanias, x. 20) Brennus, with more than 150,000 Gauls, invaded Greece. The object of the expedition was plunder and nothing else. If he could have got past Thermopylæ that object would have been attained. With such numbers he could have done what he liked, especially if, after getting through the Asopos defile, he had, before going south, turned Thermopylæ by way of Hyampolis and forced the Greeks to evacuate that pass. Pausanias, who seems to have ample information as to the details of this Celtic raid, gives the following list of the defending force:

Bœotians, 10,000 infantry, 500 cavalry; Phocians, 3000 infantry, 500 cavalry; Megareans, 4000 infantry; Ætolians,

7000 infantry, with numerous light armed, and cavalry; Athenians, 1000 infantry, 500 cavalry, with numerous triremes; Mercenaries from Macedonia and Asia, 1000 infantry.

The total cannot have been far short of 25,000 men.

The force was so large that the commanders were enabled not merely to provide for the defence of the pass itself, but were also able to send out cavalry and light armed to dispute the passage of the Spercheios, a move which Brennus, who was, as Pausanias remarks, “not altogether wanting in understanding, nor, for a barbarian, without a certain amount of experience in devising stratagems,” frustrated by sending a number of his men across the bar at the river mouth. On this the Greek advanced guard retreated to the pass. Brennus then had bridges thrown across the river, and attacked Heraklea. The Heraklea of that date was probably situated on the mountain immediately west of the mouth of the Asopos ravine, on a site now known as Sideroporto. He did not take the place; and Pausanias adds in reference to this, that Heraklea was to him “a matter of lesser moment: he considered the main point to be to drive out of the pass those who were in occupation of it, and to make good his passage into Greece south of Thermopylæ.”

It is of course manifest that such a passage as the Asopos ravine would be easily defensible, and the Herakleots may have blocked it. There is no question that, had it been passable, Brennus might have used it. The striking fact is that he did not use it, but spent his strength on a terrific failure at Thermopylæ.

3. In 224 (vide Polyb. xi. 52) Antigonus, wishing to get to the Isthmus, marched with his army by way of Eubœa. “He took this route,” says Polybius, “because the Ætolians, after trying other expedients for preventing Antigonus bringing this aid, now forbade his marching south of Thermopylæ with an army, threatening that, if he did, they would offer armed opposition to his passage.”

It is to be noted that, as at the time of Brennus’ assault, the defenders of the pass were also in possession of Heraklea.

4. In .. 208 (vide Polyb. x. 41) the Ætolians, seeking to prevent the passage of Philip of Macedon southwards to aid his allies, “secure the pass of Thermopylæ with trenches and stockades and a formidable garrison, satisfied that they would then shut out Philip, and entirely prevent him from coming to the assistance of his allies south of the pass.”

In this case also (vide chap. 42) the Ætolians were in possession of Heraklea.

5. In a passage already quoted, Livy (xxxvi. 15) is most emphatic in his statement that the only practicable military route by Œta is that through Thermopylæ. He is describing the attack of the Romans under Acilius Glabrio upon the troops of Antiochus who were defending the pass, and it is again reported that the allies of the defenders were in possession of Heraklea.

We are now in possession of practically all the data which can be obtained from the ancient historians with regard to the exact significance of the Asopos ravine, and the route through it. It must of course be borne in mind that the information of the historian Livy with regard to the topography of the Thermopylæ region was secondhand; but yet, in spite of that, there is a certain consistency about the evidence which enables us to form highly probable conclusions with regard to the exact value of this factor in the strategical geography of the region.

It seems to me to have been a recognized principle in later times that an effective defence of Œta included the occupation of Heraklea as well as of Thermopylæ, and the only conceivable reason for the existence of such a view is that Heraklea commanded the passage of the Asopos ravine.

The site of the Heraklea of this period is to be sought, I venture to think, at the place called Sideroporto, where there are large remains of a strongly fortified town. It is high on the slope of Œta, in an

exceedingly inaccessible position, in the angle, as it were, between the Asopos ravine and the line of the Trachinian cliffs.

A local tradition, probably of recent date, and due, like so many traditions of modern Greece, to the visit of some inquirer whom the natives regarded as an authority, attaches the name of Heraklea to certain ruins which stand on the summit of a remarkable flat-topped mountain in the valley at the head of the Asopos ravine, to which reference has been already made, between the plains of Malis and Doris. It is infinitely more probable, however, that this was the stronghold of those Œteans whom Thucydides mentions.

The site is more than two hours distant from the nearest point of the Malian plain, at the outlet of the Asopos ravine.

Cp. H. vii. 175, ad fin.

It has been criticized in modern times on strategical principles (e.g. by Delbrück), for which a universality of truth has been claimed. It is said that, given two adversaries of equal strength, that one places himself at a disadvantage who attempts to defend the passage of a range of mountains. It is manifest that the assailant can concentrate his efforts on the forcing of one passage, whereas the defender has to distribute his defence among all the practicable passages of the chain. In the particular case of Mount Œta it is urged that there was, besides Thermopylæ, at least one practicable passage, and this is stated to have followed the modern road from Malis into Doris; which passes over the low part of the chain immediately east of the Asopos ravine.

Could it be proved that such a road ever existed the general criticism would be sound. As a fact, all but demonstrable proof exists that no such road, practicable from a military point of view, ever did exist in ancient times. Leave out of the calculation the Greek of 480 and the Gaul of 279—although in the case of the latter, if Pausanias’ evidence be worth anything, the Malians showed a very pardonable desire to expedite his departure from the region, and would have been most anxious to show Brennus such a road, had it existed— and merely take into consideration the Greek, the Macedonian, and

the Roman of later times. For years and years these peoples were fighting in every part of North-East Greece. They knew its topography by heart. The land became the veriest strategic chessboard that ever existed in ancient warfare, on which every move could be calculated to a nicety. And yet Thermopylæ remained the same—that square on the board where king and consul could alike be checked. Could it have been so had such a path existed?

It has already been seen that the holding of Heraklea was regarded as a necessary factor in the defence of Thermopylæ. That Heraklea was almost certainly situated at Sideroporto, commanding the Asopos ravine indeed, but cut off by that very ravine—a mere crack several miles long and nine hundred feet deep—from the line taken by this imaginary road; that is to say, Heraklea would have been absolutely useless for its defence. If it existed, why then did neither Greek, Macedonian, nor Roman use it? Why did Philip of Macedon, the father of Alexander, shirk the attack on a pass which he could so easily have avoided?

It has already been said that the Greeks have made a new road along that line. It is an excellent piece of work, but so great is the climb to the summit of the pass that a two-horse carriage takes three hours to accomplish it. The gradient of the hill-side can best be imagined when it is stated that after climbing for an hour and a quarter along this road, the traveller finds himself within less than half a mile of the point from which the climb began, and the greater part of that half-mile is vertical.

In criticizing ancient warfare a tendency is but too frequently displayed to ignore the main factor of all warfare—the human element. In criticizing Greek warfare in particular, it is, moreover, too often the case that the critic is either unaware of, or has never realized, the nature of the country with which he is dealing. An ordinary Greek hill-side, though it appears easy of passage when viewed from even a short distance, presents difficulties which can hardly be paralleled in any other country in Europe. Thick, low, strong bush, much of it thorny, covers it just to a sufficient depth to hide the thickly sown, razor-edged rocks beneath. Human nature as represented by the Greek hoplite in his heavy armour could not face

it, and progress over it even for a light-armed man is very slow and very exhausting. The strategy and tactics of war are bounded by the difficult rather than by the impossible. There can be no question that the passage over this part of the range of Œta can never have been practicable to anything more than the merest skeleton of a flying column, and could not possibly have been negotiated by any force sufficiently large to affect the defence of Thermopylæ by any turning movement, or sufficiently well provided with provisions to accomplish the long circuit which such a turning movement would have demanded.

There is one more striking proof that such a road did not exist in 480. Had it existed it must have crossed that path of the Anopæa by which Hydarnes and his men turned the pass. If so, why did he make the long circuit by the Asopos ravine, when a shorter way was practicable?

Cf. the mistake made as to the defensive nature of the position at Tempe; also, the ignorance of the existence of the path of the Anopæa at Thermopylæ.

The expedition to Thessaly was made while Xerxes was at Abydos, certainly not later than April, 480. The departure of Leonidas for Thermopylæ took place a little before the Carnean festival, about the beginning of the month of August.

Diodorus’ account of the circumstances preceding the battle is manifestly an imaginary tale of indeterminate origin concocted after the event.

This seems to indicate that the Persian camp was altogether outside the west gate, and not any part of it in the plain of Anthele.

This shows clearly that the wall was not, as some have supposed, on the low ground at the pass of the middle gate, but on the neck of the first mound (vide note on Topography of Thermopylæ). Had it been on the low ground, the scout would, from the comb of the mass of stream débris of the great ravine, have been able to see over it.

0 These last words are, I believe, the true translation of the expression in Herodotus. There would be little point in repeating the fact of the river flowing through the ravine as a sort of mark of the identity of a stream whose course the historian had recently described with considerable detail. There is much point in the indication of what investigation at the present day shows to have been the fact, that this path did start from the Asopos ravine.

My own impression is that it sprang into use originally as a means of communication between that upper valley which I have mentioned as existing in the range of Œta, and probably also the Dorian plain, and Thermopylæ, when a flood of the Asopos rendered the ravine impassable. It would also form a direct means of communication between the Œteans and Locrians without passing through Trachinia.

It is of course impossible to deduct the number of killed in the previous fighting, simply because we have no information as to what that number was.

2 Epialtes’ calculation that the circuit of the path would be completed about the middle of the morning must, judging from the details given of the actual march, have been singularly correct.

3 Leake says that the descent was not much less than the ascent in actual distance; but that as the ground was better, and the march performed by daylight, the time spent was shorter. Leake is certainly in error. The place were the Phocians were surprised is recognizable with certainty, I think, at the present day. It corresponds with what Herodotus tells us of the incident, and it is absolutely the only place along the whole path where the events narrated could have taken place. When the Persians reached that point, which is probably the highest altitude attained by the path, they would have traversed twothirds of the whole distance. I must say that Leake’s attempt to reconcile his views with those of Herodotus by saying that the rest of the path is easier than that previously traversed is quite contrary to my own actual experience. From the summit to Drakospilia its character is that of a track winding amid rocks through a thick fir

forest. Not until you get close to Drakospilia does the country really open up.

4 They advanced, that is to say, to a position somewhere near the modern baths.

5 They had fought, that is, on the low ground at the foot of Kallidromos immediately to the west of the mound.

6 The statement that they already knew that they must be taken in the rear is in accord with Herodotus’ idea of what took place. It is, however, probable that they heard early from Alpenoi, to which some of their sick had been sent, of the fact that the other division of their army had not succeeded in stopping, or, possibly, had not attempted to stop Hydarnes.

7 The pillar at Sparta, with their names inscribed upon it, remained standing in Pausanias’ time (iii. 14, 1).

8 The position was well designed for a last desperate stand. The rear was protected by the small but deep valley between the first and second mound It is noticeable that they did not attempt to defend the wall. It may seem strange that they should not have done this. The position of the wall, however, running along the neck of land joining the hillock and the slope at Kallidromos, would expose its defenders to an attack from the rear. The Greeks evidently retreated from their position near the modern baths; through the narrows between that and the hillock; and up to the west slope of the latter, passing the wall at the summit of the slope on to the mound itself.

9 The parallel diary of events as it appears in Herodotus is as follows: Day. Thermopylæ. Artemisium.

1 Persian army leaves Therma.

Day. Thermopylæ. Artemisium.

12 Persian fleet leaves Therma and reaches Magnesian coast.

13 Storm begins in morning.

14 Army reaches Malis. Storm continues.

15 Storm continues.

16 Storm ceases. Fleet moves to Aphetæ. Despatch of 200 vessels round Eubœa. First sea fight.

17 Second sea fight after the arrival of 53 Athenian ships.

18 First attack on Thermopylæ.

19 Second attack on Thermopylæ.

20 Disaster at Thermopylæ.

Third sea fight. News of disaster at Thermopylæ in the evening.

0 Herodotus does not give any indication as to the time at which the Greeks received news of the disaster. It is necessary therefore to make certain calculations as to the earliest possible moment at which the news can have reached them. As far as can be seen from the narrative, the ten Persian scouting vessels started from Therma on the same day as the main body of the fleet, but probably at an earlier hour. It must have been well on in the morning before they came upon the Greek vessels off the mouth of the Peneius, which is fifty miles from Therma. The only conceivable means by which news of the engagement could have reached Skiathos, some seventy miles south of this point, is by the appearance of those ten vessels with the captured Greek ships in their company. That being the case,

the Greek fleet at Artemisium cannot have received the news before the evening of the day.

The ancient Mekistos.

2 It is more probable that it was under the shelter of the great cliffs of Mount Kandili, in the neighbourhood of the modern Limni. There is a sandy shore for many miles at the foot of those cliffs, upon which vessels might be conveniently drawn up.

3 A nine-knot steamer takes about seven hours from Chalkis to Stylida, which is about the same distance as from Chalkis to Artemisium. There is no question that a trireme could maintain a high rate of speed for hours together. Nor is there reason to doubt Herodotus’ statement that the voyage of the Persian fleet from Therma to the Sepiad strand took but one day, a distance, that is to say, of one hundred and twenty miles in fourteen hours of daylight, over eight miles an hour—even supposing that such a large number of vessels could put out and put in in the dark. The probability is, however, that the fleet never went to Chalkis at all; or, if it did, that it moved up the Euripus after receiving the news of the disaster to the Persian fleet, so as to be ready to go to Artemisium without delay so soon as the storm ceased.

4 The strong bias which Herodotus displays in his references to Themistocles is of itself sufficient to render the tale of bribery open to suspicion. Furthermore, the sum mentioned, thirty talents, is an extraordinarily large sum for the people of North Eubœa to raise at short notice.

5 Diod. xi. 12, mentions this, but gives the number of the squadron as three hundred.

6 Diodorus gives no exact indication of the time of despatch, though he mentions it immediately after describing the arrival at Aphetæ.

7 Same day as first engagement (vide note over page).

H. viii 14, 15.

8 If any calculation can be made from this very defective chapter of Herodotus’ history, this day must have been the eighteenth day. The three combats at Artemisium are represented as having taken place on successive days. The last took place on the day of the disaster at Thermopylæ, i.e. the twentieth day. Therefore the first took place on the eighteenth, and it is represented as having taken place on the evening of the day on which the council of war was held.

H. viii. 9.

9 This view is supported by Herodotus’ account of what took place next day. The storm in which the Persian flying squadron is wrecked takes place on the evening of the eighteenth day. When the storm ceased we do not know. But it is certain that the fifty-three Attic vessels must have ridden it out at Chalkis, and that they, after it was over, made the long voyage from Chalkis to Artemisium, where they found the Greek fleet. The storm must have been a brief one; and if, as Herodotus says, there had been a definite resolution on the part of the Greek commanders to move south in the early hours of the morning of the nineteenth day, no reason is apparent why it should not have been carried out. The real design of the Greeks was probably to make an attempt to beat the divided Persian fleet in detail.

0 Though Herodotus is aware of a connection between the positions at Thermopylæ and Artemisium, there is nothing whatever in his account which suggests that he understood how necessary the connection was for the maintenance of the pass. Had he appreciated this, he would hardly have treated as serious history such parts of the Artemisium tradition of his time as asserted that the responsible Greek commanders ever entertained the idea of such action as must have inevitably sacrificed the lives of the defenders of the pass. He has given the irresponsible gossip and criticism of the Peloponnesian section of the fleet the appearance of responsible and authoritative design, and has served up the whole with copious Attic sauce. There is, however, no reason for supposing that the historian was in any way guilty of historical dishonesty. He simply did not possess that knowledge of military affairs which would have

enabled him to see the flaws in the evidence which came to his hand; and this negative defect was further complicated by what was, from the point of view of strict history, the positive one of accepting anything in the tradition of the war which would bring into relief the patriotic services of Athens. If we tone down the intensely Attic colouring in Herodotus’ account of Artemisium, that is to say, such passages as are designed to bring into relief the difficulty of keeping the fleet at its station, we have, in all probability, a good historical account, in so far as it goes, of this part of the campaign of 480.

The manœuvre of the διέκπλους seems one of the most simple things in the world when it has been discovered. Yet in modern times it took the English sailors more than a century of hard fighting to find out its effectiveness. Thucydides, who knows what he is talking about in naval matters, certainly conveys the impression that it was an invention of his own time, or, at any rate, that it had, as a manœuvre, been gradually evolved within the period of the Pentekontaëtia. And yet, here we have it at Artemisium! Nay, more than that, fourteen years earlier, according to Herodotus, Dionysios of Phokæa was trying to teach it to those unappreciative Ionians at Ladé. It is probable that both in this passage and in the one relating to Ladé, Herodotus is guilty of an anachronism in attributing that manœuvre to the naval warfare of the first quarter of the fifth century. The term was probably much in men’s mouths at the time which he wrote, and, in his ignorance of naval matters, he assumed that the ruling idea in the sea tactics of his own day might be safely attributed to the previous generation. Compare also H. viii. 11 with Thuc. ii. 83, ad fin.

2 There is an undesigned consistency between the two accounts of the effects of the storm in North and South Eubœa respectively. A glance at the map will show that, (1) in the North, the driving of the wreckage towards the shores of Aphetæ; (2) in the South, the driving of the 200 vessels upon the Hollows of Eubœa, both indicate a storm from the South or S.S.W.

3 It seems to have taken some thirty hours to round Skiathos, and voyage down the east coast of Eubœa.

4

The identity of these bays with Τά Κοίλα has been called in question in modern times. If this passage in Herodotus were the only evidence we possessed, the question of their position would manifestly be a very open one. All that Herodotus’ language seems to indicate is that they were a well-known feature in the geography of South Eubœa. Had they not been so, we should have expected so painstaking a topographer to have given some indications of their actual position. His silence, and the inference to be drawn from it, is not without significance. The Hollows would hardly have been a wellknown feature had they been east of the South Cape, away from the line of sea traffic; whereas on the west shore they would be in full view of all vessels using the frequented passage of the Euripus. I think, too, that any one who has seen that coast of Eubœa, either from Attica, or when passing up the channel, cannot but have been struck with the depth of the colour which the retiring coast-line of these bays gives to the Eubœan landscape thus viewed. Their recesses give that appearance of “hollowness” from which the ancient name must have been derived. We are not, however, dependent on Herodotus alone for indications as to their locality. Vide Liv. 31, 47; Strabo, 445; Valer Max. 1, 8, 10.

5 It is exceedingly unlikely that the Persian squadron would have been able to force the narrows at Chalkis, if, as was almost certainly the case, the fifty-three Attic vessels were ready to defend it. But had they put in at Eretria and blocked the channel south, the position of the main Greek fleet, in case of anything resembling a reverse at Artemisium, would have been very precarious.

6 The fact that they were able to single out a special contingent for attack confirms, by implication, Diodorus’ statement as to the scattered nature of the anchorage at Aphetæ.

7 The effect of the engagement on the minds of the Greeks is mentioned in language which is almost, word for word, a repetition of that which he has used on a previous occasion. He says, Δρησμὸν

viii. 18. Cf. the expression in viii. 4.

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