## 1 Introduction  
Jumping is a fundamental physiological motion, which is used frequently in various sports. In addition, analysis of jumping performance can evaluate lower limb strength as well as bilateral strength asymmetry [1]. The ability to jump is highly related to the performance of sports, including volleyball, basketball, and high jump. Flight time is a commonly used method to calculate the vertical jump height using simple computation. Vertical jump height calculated from flight time, however, has been overestimated by 0.025 m compared to takeoff velocity [2]. Vertical jump height is also associated with different jump types. Compared to the squat jump, the countermovement jump can increase the vertical jump height more effectively [3; 4]. Squat depth is another factor that influences maximum vertical jump height achieved. In the experiment of [PERSON] et al. [5], results indicated that jump height did not change if the subjects jumped from a preferred or deep position, whereas a computer simulation model demonstrated an increased jump height with increased squat depth. Practice to adapt the deeper squat position might assist athletes in developing a larger range of motion, and thereby, improve jumping performance. The effect of different stretching protocols on vertical jumping performance is varied. Static stretching before a vertical jump appears to reduce the jump height, while dynamic stretching contributes to a greater height obtained [6]. [PERSON] et al. also found that stretching could decrease vertical jump performance, although the finding was not significant [7]. Metatarsal strapping also appears to be another effective method to improve vertical jump performance [8]. Biomechanical parameters are different using the countermovement jump in jumpers with different abilities. Good performers have demonstrated greater jump heights, and the joint moments, joint power, and joint work of the three lower limb joints were increased [9]. Biomechanical assessments of jump-landings were used to compare any differences between healthy athletes and athletes with patellar tendinopathy [10; 11]. The findings revealed that basketball athletes with patellar tendinopathy displayed lower loading rates during stop-jump landing tasks [10]. During the push-off phase, the triceps surae muscles, which include the gastrocnemius (GAS) and soleus (SOL) are the main contributors to vertical support and propulsion [12]. The reduction in strength in the triceps surae muscles can influence ankle power generation and change gait patterns [13]. The Achilles tendon, as an energy provider, that plantarkes the foot, propels the body forward as well as controls the behavior of triceps surae [14]. When faced with rigorous cyclic loading, the Achilles tendon is subjected to a greater risk of injury and fatigue-induced damage may contribute to tendon failure [15]. Biomechanical changes in the lower limbs are related to lower limb injuries. Foot pronation has been proposed as a strong contributory factor for injuries [16; 17]. Increased foot pronation alters the biomechanical parameters in the ankle joint, including motion, moment, and power [18]. After mid stance running, the static foot pronation of recreational runners is increased, which might indicate increased lower limb joint loading [19]. Fatigue is an important risk factor to consider in the prevention of injuries. Various fatigue protocols have been used to explore the changes in lower limb biomechanics when fatigue occurs. The influence of fatigue on running biomechanics has focused on plantar pressure [20], ground reaction forces (GRF) [21], kinematics, and kinetics of the lower limbs [22; 23]. The effect of fatigue on hopping and jumping has mainly considered the landing phase [24; 25; 26]. The kinematics of the hip and knee joints did not significantly change following hip extensor fatigue since increased gluteus maximus recruitment was observed to compensate for the decrease in hip extensor strength [27].